ALEKS - Assessment and Learning
   

B.38 Integrated Mathematics II

 

Real Numbers
arith067 Simplifying a fraction
arith212 Equivalent fractions
arith711 Division involving zero
arith070 Least common multiple of 2 numbers
arith804 Least common multiple of 3 numbers
arith801 Finding the LCD of two fractions
arith664 Introduction to addition or subtraction of fractions with different denominators
arith230 Addition or subtraction of fractions with different denominators
arith803 Addition and subtraction of 3 fractions with different denominators
arith079 Product of a unit fraction and a whole number
arith086 Product of a fraction and a whole number: Problem type 1
arith053 Fraction multiplication
arith812 Product of a fraction and a whole number: Problem type 2
arith813 Multiplication of 3 fractions
arith088 The reciprocal of a number
arith694 Division involving a whole number and a fraction
arith022 Fraction division
arith695 Complex fraction without variables: Problem type 1
arith015 Writing an improper fraction as a mixed number
arith619 Writing a mixed number as an improper fraction
arith808 Addition of mixed numbers with different denominators and carry
arith809 Subtraction of mixed numbers with different denominators and borrowing
arith807 Addition and subtraction of 3 mixed numbers with different denominators
arith815 Mixed number multiplication
arith816 Multiplication of a mixed number and a whole number
arith068 Mixed number division
arith110 Decimal place value: Tenths and hundredths
arith221 Rounding decimals
arith733 Using a calculator to convert a fraction to a rounded decimal
arith624 Addition of aligned decimals
arith735 Decimal subtraction: Basic
arith736 Decimal subtraction: Advanced
arith739 Introduction to decimal multiplication
arith017 Multiplication of a decimal by a whole number
arith082 Multiplication of a decimal by a power of ten
arith055 Decimal multiplication: Problem type 1
arith081 Division of a decimal by a whole number
arith083 Division of a decimal by a power of ten
arith687 Fractional position on a number line
arith667 Plotting fractions on a number line
arith830 Reading decimal position on a number line: Hundredths
alge286 Plotting integers on a number line
arith403 Finding opposites of integers
arith605 Plotting rational numbers on a number line
arith092 Using a common denominator to order fractions
arith129 Introduction to ordering decimals
arith608 Ordering decimals
arith609 Ordering fractions and decimals
arith691 Ordering integers
arith016 Square root of a perfect square
arith763 Using a calculator to approximate a square root
arith515 Approximating the location of irrational numbers on a number line
arith712 Ordering real numbers
arith071 Absolute value of a number
arith412 Finding all numbers with a given absolute value
arith200 Integer addition: Problem type 1
arith108 Integer addition: Problem type 2
arith688 Integer subtraction: Problem type 1
arith689 Integer subtraction: Problem type 2
arith690 Integer subtraction: Problem type 3
arith754 Addition and subtraction with 3 integers
arith231 Integer multiplication and division
arith800 Multiplication of 3 or 4 integers
arith116 Signed fraction addition or subtraction: Basic
arith864 Signed fraction subtraction involving double negation
arith106 Signed fraction addition or subtraction: Advanced
arith811 Addition and subtraction of 3 fractions involving signs
arith822 Signed fraction multiplication: Basic
arith105 Signed fraction multiplication: Advanced
arith814 Signed fraction division
arith117 Signed decimal addition and subtraction
arith234 Signed decimal addition and subtraction with 3 numbers
arith750 Signed decimal multiplication
arith751 Signed decimal division
arith440 Operations with absolute value: Problem type 1
arith104 Operations with absolute value: Problem type 2
alge694 Computing the distance between two integers on a number line
arith233 Introduction to exponents
arith048 Order of operations with whole numbers
arith051 Order of operations with whole numbers and grouping symbols
arith693 Order of operations with whole numbers and exponents: Basic
arith713 Order of operations with whole numbers and exponents: Advanced
arith821 Exponents and fractions
arith859 Order of operations with fractions: Problem type 1
arith860 Order of operations with fractions: Problem type 2
arith861 Order of operations with fractions: Problem type 3
arith753 Squaring decimal bases: Products greater than 0.1
arith720 Order of operations with decimals: Problem type 1
arith746 Order of operations with decimals: Problem type 2
arith747 Order of operations with decimals: Problem type 3
arith702 Exponents and integers: Problem type 1
arith703 Exponents and integers: Problem type 2
arith704 Exponents and signed fractions
arith118 Order of operations with integers
arith600 Order of operations with integers and exponents
alge284 Evaluating an algebraic expression: Whole number addition or subtraction
alge683 Evaluating an algebraic expression: Whole number multiplication or division
alge285 Evaluating an algebraic expression: Whole numbers with two operations
alge649 Evaluating a formula
alge648 Evaluating an algebraic expression: Whole numbers with one operation and an exponent
alge832 Evaluating an algebraic expression: Whole number operations and exponents
alge005 Evaluating a linear expression: Integer multiplication with addition or subtraction
alge004 Evaluating a quadratic expression: Integers
mstat065 Converting between temperatures in Fahrenheit and Celsius
alge808 Evaluating a linear expression: Signed fraction multiplication with addition or subtraction
alge302 Evaluating a linear expression: Signed decimal addition and subtraction
alge303 Evaluating a linear expression: Signed decimal multiplication with addition or subtraction
alge001 Identifying numbers as integers or non-integers
arith513 Identifying rational decimal numbers
arith432 Identifying true statements about rational and irrational numbers
alge002 Identifying numbers as rational or irrational
alge700 Combining like terms: Whole number coefficients
alge432 Introduction to adding fractions with variables and common denominators
alge607 Combining like terms: Integer coefficients
alge187 Properties of addition
alge666 Combining like terms: Fractional coefficients
alge665 Combining like terms: Decimal coefficients
alge310 Multiplying a constant and a linear monomial
alge606 Distributive property: Whole number coefficients
alge604 Distributive property: Integer coefficients
alge610 Distributive property: Fractional coefficients
arith056 Factors
alge612 Identifying parts in an algebraic expression
alge613 Identifying equivalent algebraic expressions
alge188 Properties of real numbers
alge608 Using distribution and combining like terms to simplify: Univariate
alge667 Identifying properties used to simplify an algebraic expression
alge609 Using distribution with double negation and combining like terms to simplify: Multivariate
alge293 Combining like terms in a quadratic expression
geom339 Perimeter of a polygon
geom300 Perimeter of a square or a rectangle
geom618 Perimeter of a polygon involving mixed numbers and fractions
geom221 Finding the missing length in a figure
geom353 Perimeter of a piecewise rectangular figure
alge615 Writing algebraic expressions for the perimeter of a figure
geom078 Sides of polygons having the same perimeter
geom019 Area of a square or a rectangle
geom866 Perimeter and area on a grid
geom620 Area of a rectangle involving fractions
geom619 Area of a rectangle involving mixed numbers and fractions
geom350 Distinguishing between the area and perimeter of a rectangle
geom351 Areas of rectangles with the same perimeter
geom340 Area of a piecewise rectangular figure
geom562 Area between two rectangles
geom869 Estimates and exact answers
alge616 Writing algebraic expressions for the area of a figure
geom410 Word problem involving the area of a square or a rectangle
geom142 Word problem involving the area between two rectangles
geom311 Volume of a rectangular prism
geom571 Word problem involving the volume of a rectangular prism
mstat033 Measuring length to the nearest inch
mstat034 Measuring length to the nearest quarter or half inch
unit005 U.S. Customary unit conversion with whole number values
mstat035 Conversions involving measurements in feet and inches
mstat036 Adding measurements in feet and inches
unit006 U.S. Customary unit conversion with whole number values: Two-step conversion
mstat063 Measuring length to the nearest centimeter
mstat064 Measuring length to the nearest millimeter
unit001 Metric distance conversion with whole number values
unit002 Metric mass or capacity conversion with whole number values
unit003 Metric distance conversion with decimal values
unit004 Metric conversion with decimal values: Two-step problem
unit012 Time unit conversion with whole number values
unit034 Converting between metric and U.S. Customary unit systems
unit009 U.S. Customary area unit conversion with whole number values
unit010 Metric area unit conversion with decimal values
arith823 Writing ratios using different notations
arith663 Writing ratios for real-world situations
arith450 Identifying statements that describe a ratio
arith824 Simplifying a ratio of whole numbers: Problem type 1
arith826 Simplifying a ratio of whole numbers: Problem type 2
arith825 Simplifying a ratio of decimals
arith064 Solving a word problem on proportions using a unit rate
arith452 Finding missing values in a table of equivalent ratios
arith453 Using a table of equivalent ratios to find a missing quantity in a ratio
Linear Equations and Inequalities
alge650 Identifying solutions to a one-step linear equation: Problem type 1
alge651 Identifying solutions to a one-step linear equation: Problem type 2
alge009 Additive property of equality with whole numbers
alge800 Additive property of equality with decimals
alge010 Additive property of equality with integers
alge836 Additive property of equality with signed fractions
alge008 Multiplicative property of equality with whole numbers
alge646 Multiplicative property of equality with whole numbers: Fractional answers
alge820 Multiplicative property of equality with fractions
alge825 Multiplicative property of equality with decimals
alge797 Multiplicative property of equality with integers
alge012 Multiplicative property of equality with signed fractions
alge834 Identifying solutions to a linear equation in one variable: Two-step equations
alge803 Using two steps to solve an equation with whole numbers
alge266 Additive property of equality with a negative coefficient
alge006 Solving a two-step equation with integers
alge815 Introduction to using substitution to solve a linear equation
alge200 Solving an equation to find the value of an expression
alge920 Introduction to solving an equation with parentheses
alge837 Solving a multi-step equation given in fractional form
alge986 Identifying properties used to solve a linear equation
alge824 Solving a two-step equation with signed decimals
alge838 Introduction to solving an equation with variables on the same side
alge862 Solving a linear equation with several occurrences of the variable: Variables on the same side
alge611 Introduction to solving a linear equation with a variable on each side
alge863 Solving a linear equation with several occurrences of the variable: Variables on both sides
alge011 Solving a linear equation with several occurrences of the variable: Variables on the same side and distribution
alge013 Solving a linear equation with several occurrences of the variable: Variables on both sides and distribution
alge209 Solving a linear equation with several occurrences of the variable: Variables on both sides and two distributions
alge614 Clearing fractions in an equation
alge420 Solving a linear equation with several occurrences of the variable: Fractional forms with monomial numerators
alge208 Solving a two-step equation with signed fractions
alge061 Solving a linear equation with several occurrences of the variable: Variables on both sides and fractional coefficients
alge179 Solving a linear equation with several occurrences of the variable: Fractional forms with binomial numerators
alge742 Solving equations with zero, one, or infinitely many solutions
alge511 Solving for a variable in terms of other variables using addition or subtraction: Basic
alge512 Solving for a variable in terms of other variables using addition or subtraction: Advanced
alge513 Solving for a variable in terms of other variables using multiplication or division: Basic
alge514 Solving for a variable in terms of other variables using multiplication or division: Advanced
alge517 Solving for a variable in terms of other variables using addition or subtraction with division
alge518 Solving for a variable inside parentheses in terms of other variables
alge507 Solving for a variable in terms of other variables in a linear equation with fractions
alge603 Introduction to solving an absolute value equation
alge864 Solving an absolute value equation: Problem type 1
alge865 Solving an absolute value equation: Problem type 2
alge866 Solving an absolute value equation: Problem type 3
alge867 Solving an absolute value equation: Problem type 4
alge167 Solving an absolute value equation of the form |ax+b| = |cx+d|
alge733 Writing a one-step expression for a real-world situation
alge831 Translating a phrase into a one-step expression
alge291 Translating a phrase into a two-step expression
alge016 Translating a sentence into a one-step equation
alge841 Translating a sentence into a multi-step equation
arith504 Writing an equation to represent a proportional relationship
alge802 Solving a fraction word problem using a linear equation of the form Ax = B
alge671 Choosing stories that can be represented by given one-step equations
alge628 Writing an equation of the form Ax + B = C to solve a word problem
alge618 Comparing arithmetic and algebraic solutions to a word problem
alge672 Choosing stories that can be represented by given two-step equations
alge173 Solving a decimal word problem using a linear equation of the form Ax + B = C
alge629 Writing an equation of the form A(x + B) = C to solve a word problem
alge014 Solving a word problem with two unknowns using a linear equation
alge673 Writing an equation to represent a real-world problem: Variable on both sides
alge674 Writing and solving a real-world problem given an equation with the variable on both sides
alge730 Writing a multi-step equation for a real-world situation
alge219 Solving a decimal word problem using a linear equation with the variable on both sides
alge704 Solving a fraction word problem using a linear equation with the variable on both sides
alge792 Solving a word problem with three unknowns using a linear equation
alge842 Solving a word problem involving consecutive integers
alge794 Solving a value mixture problem using a linear equation
arith228 Word problem on unit rates associated with ratios of whole numbers: Decimal answers
alge218 Solving a word problem involving rates and time conversion
alge823 Solving a one-step word problem using the formula d = rt
alge796 Solving a distance, rate, time problem using a linear equation
unit035 Converting between compound units: Basic
unit036 Converting between compound units: Advanced
geom564 Finding side lengths of squares given an area and a perimeter
geom648 Finding side lengths of rectangles given one dimension and an area or a perimeter
geom444 Word problem on optimizing an area or perimeter
geom561 Finding the dimensions of a rectangle given its perimeter and a relationship between sides
geom143 Finding the perimeter or area of a rectangle given one of these values
geom817 Finding a side length given the perimeter and side lengths with variables
arith514 Converting a repeating decimal to a fraction
alge819 Solving a proportion of the form x/a=b/c: Basic
alge272 Solving a proportion of the form x/a = b/c
alge840 Solving a proportion of the form (x+a)÷b = c÷d
alge271 Solving a proportion of the form a/(x+b) = c/x
alge658 Introduction to solving a rational equation
alge060 Solving a rational equation that simplifies to linear: Denominator x
arith610 Word problem on proportions: Problem type 1
arith611 Word problem on proportions: Problem type 2
arith834 Converting between percentages and decimals
arith843 Using a calculator to convert a fraction to a rounded percentage
arith840 Finding a percentage of a whole number
arith030 Finding a percentage of a whole number without a calculator: Basic
arith844 Finding a percentage of a whole number without a calculator: Advanced
arith862 Applying the percent equation: Problem type 1
arith863 Applying the percent equation: Problem type 2
arith845 Finding a percentage of a total amount: Real-world situations
arith846 Finding a percentage of a total amount without a calculator: Sales tax, commission, discount
arith857 Estimating a tip without a calculator
arith686 Writing a ratio as a percentage
arith069 Writing a ratio as a percentage without a calculator
arith850 Finding the rate of a tax or commission
arith849 Finding the total amount given the percentage of a partial amount
arith852 Finding the multiplier to give a final amount after a percentage increase or decrease
arith851 Finding the final amount given the original amount and a percentage increase or decrease
arith847 Finding the sale price given the original price and percent discount
arith074 Finding the sale price without a calculator given the original price and percent discount
arith848 Finding the total cost including tax or markup
arith855 Finding the original amount given the result of a percentage increase or decrease
arith031 Finding the original price given the sale price and percent discount
arith858 Finding the percentage increase or decrease: Basic
arith225 Finding the percentage increase or decrease: Advanced
unit052 Finding the absolute error and percent error of a measurement
arith854 Computing a percent mixture
alge795 Solving a percent mixture problem using a linear equation
arith232 Finding simple interest without a calculator
arith853 Introduction to compound interest
alge015 Translating a sentence by using an inequality symbol
alge653 Introduction to identifying solutions to an inequality
alge845 Translating a sentence into a one-step inequality
alge748 Writing an inequality for a real-world situation
alge017 Graphing a linear inequality on the number line
alge822 Writing an inequality given a graph on the number line
alge186 Translating a sentence into a compound inequality
alge166 Graphing a compound inequality on the number line
alge847 Writing a compound inequality given a graph on the number line
set001 Set builder notation
set004 Set builder and interval notation
set002 Union and intersection of finite sets
set005 Union and intersection of intervals
alge652 Identifying solutions to a one-step linear inequality
alge848 Additive property of inequality with whole numbers
alge849 Additive property of inequality with integers
alge852 Additive property of inequality with signed fractions
alge853 Additive property of inequality with signed decimals
alge809 Multiplicative property of inequality with whole numbers
alge854 Multiplicative property of inequality with integers
alge964 Multiplicative property of inequality with signed fractions
alge844 Identifying solutions to a two-step linear inequality in one variable
alge636 Solving a two-step linear inequality with whole numbers
alge855 Solving a two-step linear inequality: Problem type 1
alge856 Solving a two-step linear inequality: Problem type 2
alge857 Solving a two-step linear inequality with a fractional coefficient
alge977 Solving a linear inequality with multiple occurrences of the variable: Problem type 1
alge858 Solving a linear inequality with multiple occurrences of the variable: Problem type 2
alge859 Solving a linear inequality with multiple occurrences of the variable: Problem type 3
alge860 Solving inequalities with no solution or all real numbers as solutions
alge746 Solving a compound linear inequality: Graph solution, basic
alge861 Solving a compound linear inequality: Graph solution, advanced
alge747 Solving a compound linear inequality: Interval notation
alge621 Solving a word problem using a one-step linear inequality
alge846 Translating a sentence into a multi-step inequality
alge619 Solving a word problem using a two-step linear inequality and describing the solution
alge623 Solving a word problem using a two-step linear inequality
alge749 Solving a decimal word problem using a two-step linear inequality
alge750 Solving a decimal word problem using a linear inequality with the variable on both sides
alge868 Solving an absolute value inequality: Problem type 1
alge943 Writing an absolute value inequality given a graph on the number line
alge869 Solving an absolute value inequality: Problem type 2
alge870 Solving an absolute value inequality: Problem type 3
alge871 Solving an absolute value inequality: Problem type 4
alge872 Solving an absolute value inequality: Problem type 5
Graphing, Functions, and Systems
alge064 Reading a point in the coordinate plane
alge067 Plotting a point in the coordinate plane
alge693 Plotting a point in the coordinate plane: Mixed number coordinates
arith404 Naming the quadrant or axis of a point given its graph
arith405 Naming the quadrant or axis of a point given its coordinates
arith406 Naming the quadrant or axis of a point given the signs of its coordinates
alge695 Finding distances between points that share a common coordinate given the graph
alge696 Finding distances between points that share a common coordinate given their coordinates
alge282 Function tables with two-step rules
alge850 Table for a linear equation
fun005 Writing a function rule given a table of ordered pairs: One-step rules
fun006 Writing a function rule given a table of ordered pairs: Two-step rules
alge873 Identifying solutions to a linear equation in two variables
alge066 Finding a solution to a linear equation in two variables
alge877 Graphing a linear equation of the form y = mx
alge878 Graphing a line given its equation in slope-intercept form: Integer slope
alge879 Graphing a line given its equation in slope-intercept form: Fractional slope
alge880 Graphing a line given its equation in standard form
alge198 Graphing a vertical or horizontal line
alge884 Finding x- and y-intercepts given the graph of a line on a grid
alge924 Finding x- and y-intercepts of a line given the equation: Basic
alge210 Finding x- and y-intercepts of a line given the equation: Advanced
alge197 Graphing a line given its x- and y-intercepts
alge881 Graphing a line by first finding its x- and y-intercepts
mstat007 Interpreting a line graph
alge575 Finding slope given the graph of a line in quadrant 1 that models a real-world situation
alge875 Classifying slopes given graphs of lines
alge886 Finding slope given the graph of a line on a grid
alge887 Finding slope given two points on the line
alge885 Finding the slope of horizontal and vertical lines
alge888 Finding the coordinate that yields a given slope
alge259 Graphing a line given its slope and y-intercept
alge196 Graphing a line through a given point with a given slope
alge625 Identifying linear equations: Basic
alge876 Identifying linear equations: Advanced
alge874 Identifying linear functions given ordered pairs
alge891 Rewriting a linear equation in the form Ax + By = C
alge889 Finding the slope and y-intercept of a line given its equation in the form y = mx + b
alge890 Finding the slope and y-intercept of a line given its equation in the form Ax+By=C
alge882 Graphing a line by first finding its slope and y-intercept
alge258 Writing an equation of a line given its slope and y-intercept
alge892 Writing an equation and graphing a line given its slope and y-intercept
alge314 Finding the slope, y-intercept, and equation for a linear function given a table of values
alge893 Writing an equation in slope-intercept form given the slope and a point
alge318 Finding the slope and a point on a line given its equation in point-slope form
alge883 Graphing a line given its equation in point-slope form
alge894 Writing an equation in point-slope form given the slope and a point
alge313 Writing an equation in standard form given the slope and a point
alge070 Writing an equation of a line given the y-intercept and another point
alge072 Writing the equation of the line through two given points
alge073 Writing the equations of vertical and horizontal lines through a given point
alge322 Comparing linear functions to the parent function y=x
geom358 Identifying parallel and perpendicular lines
geom806 Finding slopes of lines parallel and perpendicular to a line given in slope-intercept form
geom807 Finding slopes of lines parallel and perpendicular to a line given in the form Ax + By = C
alge895 Identifying parallel and perpendicular lines from equations
geom808 Writing equations of lines parallel and perpendicular to a given line through a point
geom462 Identifying parallel and perpendicular lines from coordinates
alge630 Finding outputs of a one-step function that models a real-world situation: Two variable equation
alge632 Finding outputs of a two-step function with decimals that models a real-world situation: Two variable equation
alge633 Finding inputs and outputs of a two-step function that models a real-world situation: Two variable equation
alge655 Writing and evaluating a function that models a real-world situation: Basic
alge897 Writing and evaluating a function that models a real-world situation: Advanced
alge656 Writing an equation and drawing its graph to model a real-world situation: Basic
alge701 Writing an equation and drawing its graph to model a real-world situation: Advanced
alge817 Finding the initial amount and rate of change given a table for a linear function
alge818 Finding the initial amount and rate of change given a graph of a linear function
alge992 Combining functions to write a new function that models a real-world situation
alge987 Comparing properties of linear functions given in different forms
alge989 Interpreting the parameters of a linear function that models a real-world situation
alge805 Application problem with a linear function: Finding a coordinate given the slope and a point
alge806 Application problem with a linear function: Finding a coordinate given two points
alge670 Identifying independent and dependent quantities from tables and graphs
mstat052 Identifying independent and dependent variables from equations or real-world situations
alge991 Solving a linear equation by graphing
mstat094 Constructing a scatter plot
mstat030 Sketching the line of best fit
mstat023 Scatter plots and correlation
mstat068 Predictions from the line of best fit
mstat067 Approximating the equation of a line of best fit and making predictions
mstat069 Computing residuals
mstat070 Interpreting residual plots
mstat093 Classifying linear and nonlinear relationships from scatter plots
mstat071 Linear relationship and the correlation coefficient
mstat096 Identifying outliers and clustering in scatter plots
mstat074 Identifying correlation and causation
fun032 Identifying functions from relations
fun010 Vertical line test
fun016 Domain and range from ordered pairs
fun001 Table for a linear function
pcalc760 Evaluating functions: Linear and quadratic or cubic
fun033 Variable expressions as inputs of functions: Problem type 1
fun030 Evaluating a piecewise-defined function
alge294 Finding outputs of a one-step function that models a real-world situation: Function notation
alge295 Finding outputs of a two-step function with decimals that models a real-world situation: Function notation
alge296 Finding inputs and outputs of a two-step function that models a real-world situation: Function notation
alge990 Domain and range of a linear function that models a real-world situation
fun026 Finding an output of a function from its graph
pcalc761 Finding inputs and outputs of a function from its graph
fun007 Domain and range from the graph of a discrete relation
alge312 Finding domain and range from a linear graph in context
fun024 Domain and range from the graph of a continuous function
fun025 Domain and range from the graph of a piecewise function
pcalc750 Finding intercepts of a nonlinear function given its graph
alge999 Finding where a function is increasing, decreasing, or constant given the graph
pcalc751 Finding where a function is increasing, decreasing, or constant given the graph: Interval notation
pcalc752 Finding local maxima and minima of a function given the graph
mstat018 Choosing a graph to fit a narrative: Basic
mstat051 Choosing a graph to fit a narrative: Advanced
alge896 Graphing an integer function and finding its range for a given domain
alge570 Graphing a function of the form f(x) = ax + b: Integer slope
alge571 Graphing a function of the form f(x) = ax + b: Fractional slope
alge913 Graphing an absolute value equation of the form y = A|x|
alge900 Graphing an absolute value equation in the plane: Basic
alge168 Graphing an absolute value equation in the plane: Advanced
alge954 Graphing a parabola of the form y = ax2
alge955 Graphing a parabola of the form y = ax2 + c
alge572 Graphing a function of the form f(x) = ax2
alge573 Graphing a function of the form f(x) = ax2 + c
alge253 Graphing a parabola of the form y = (x-h)2 + k
alge262 Graphing a cubic function of the form y = ax3
fun031 Graphing a piecewise-defined function: Problem type 1
alge997 Finding the average rate of change of a function given its equation
alge998 Finding the average rate of change of a function given its graph
alge953 Translating the graph of a parabola: One step
alge723 How the leading coefficient affects the shape of a parabola
alge898 Translating the graph of an absolute value function: One step
alge899 Translating the graph of an absolute value function: Two steps
alge901 How the leading coefficient affects the graph of an absolute value function
alge185 Writing an equation for a function after a vertical translation
pcalc769 Translating the graph of a function: One step
pcalc770 Translating the graph of a function: Two steps
pcalc771 Transforming the graph of a function by reflecting over an axis
pcalc772 Transforming the graph of a function by shrinking or stretching
pcalc773 Transforming the graph of a function using more than one transformation
fun020 Writing an equation for a function after a vertical and horizontal translation
alge914 Identifying solutions to a system of linear equations
alge075 Classifying systems of linear equations from graphs
alge725 Graphically solving a system of linear equations
pcalc820 Using a graphing calculator to solve a system of linear equations: Basic
pcalc821 Using a graphing calculator to solve a system of linear equations: Advanced
alge317 Writing a system of linear equations given its graph
alge816 Solving a system of linear equations of the form y = mx + b
alge751 Solving a system of linear equations using substitution
alge915 Solving a system of linear equations using elimination with addition
alge076 Solving a system of linear equations using elimination with multiplication and addition
alge916 Solving a system of linear equations with fractional coefficients
alge917 Solving a system of linear equations with decimal coefficients
alge634 Solving systems of linear equations with 0, 1, or infinitely many solutions
alge077 Creating an inconsistent system of linear equations
alge988 Identifying the operations used to create equivalent systems of equations
alge753 Solving a 3x3 system of linear equations: Problem type 1
alge263 Interpreting the graphs of two functions
alge078 Solving a word problem involving a sum and another basic relationship using a system of linear equations
alge919 Solving a word problem using a system of linear equations of the form Ax + By = C
alge918 Solving a word problem using a system of linear equations of the form y = mx + b
alge184 Solving a value mixture problem using a system of linear equations
alge192 Solving a percent mixture problem using a system of linear equations
alge224 Solving a distance, rate, time problem using a system of linear equations
alge172 Solving a tax rate or interest rate problem using a system of linear equations
alge793 Solving a word problem using a 3x3 system of linear equations: Problem type 1
alge912 Identifying solutions to a linear inequality in two variables
alge225 Graphing a linear inequality in the plane: Vertical or horizontal line
alge720 Graphing a linear inequality in the plane: Slope-intercept form
alge018 Graphing a linear inequality in the plane: Standard form
alge315 Writing an inequality given its graph in the plane: Horizontal or vertical boundary line
alge316 Writing an inequality given its graph in the plane: Slanted boundary line
alge079 Graphing a system of two linear inequalities: Basic
alge921 Graphing a system of two linear inequalities: Advanced
alge922 Graphing a system of three linear inequalities
alge729 Writing a multi-step inequality for a real-world situation
pcalc093 Solving a word problem using a system of linear inequalities: Problem type 1
pcalc095 Linear programming
pcalc094 Solving a word problem using linear programming
pcalc037 Scalar multiplication of a matrix
pcalc038 Addition or subtraction of matrices
pcalc740 Linear combination of matrices
pcalc039 Multiplication of matrices: Basic
pcalc710 Multiplication of matrices: Advanced
pcalc712 Gauss-Jordan elimination with a 2x2 matrix
pcalc046 Solving a system of linear equations given its augmented matrix
pcalc040 Finding the inverse of a 2x2 matrix
pcalc041 Finding the inverse of a 3x3 matrix
pcalc042 Finding the determinant of a 2x2 matrix
pcalc711 Using the inverse of a matrix to solve a 3x3 system of linear equations
pcalc043 Finding the determinant of a 3x3 matrix
pcalc045 Using Cramer's rule to solve a 2x2 system of linear equations
pcalc047 Using Cramer's rule to solve a 3x3 system of linear equations
Exponents and Polynomials
alge821 Understanding the product rule of exponents
alge024 Introduction to the product rule of exponents
alge311 Product rule with positive exponents: Univariate
alge030 Product rule with positive exponents: Multivariate
arith029 Ordering numbers with positive exponents
alge826 Understanding the power rules of exponents
alge306 Introduction to the power of a power rule of exponents
alge305 Introduction to the power of a product rule of exponents
alge307 Power rules with positive exponents: Multivariate products
alge308 Power rules with positive exponents: Multivariate quotients
alge756 Power and product rules with positive exponents
alge451 Simplifying a ratio of multivariate monomials: Basic
alge827 Introduction to the quotient rule of exponents
alge452 Simplifying a ratio of univariate monomials
alge026 Quotient of expressions involving exponents
alge453 Simplifying a ratio of multivariate monomials: Advanced
alge927 Power and quotient rules with positive exponents
alge790 Evaluating expressions with exponents of zero
arith684 Power of 10: Negative exponent
arith729 Evaluating an expression with a negative exponent: Whole number base
arith042 Evaluating an expression with a negative exponent: Positive fraction base
arith043 Evaluating an expression with a negative exponent: Negative integer base
arith024 Ordering numbers with negative exponents
alge791 Rewriting an algebraic expression without a negative exponent
alge961 Introduction to the product rule with negative exponents
alge028 Product rule with negative exponents
alge755 Quotient rule with negative exponents: Problem type 1
alge926 Quotient rule with negative exponents: Problem type 2
alge025 Power of a power rule with negative exponents
alge799 Power rules with negative exponents
alge928 Power and quotient rules with negative exponents: Problem type 1
alge929 Power and quotient rules with negative exponents: Problem type 2
alge757 Power, product, and quotient rules with negative exponents
scinot023 Introduction to scientific notation with positive exponents
arith036 Scientific notation with positive exponent
scinot024 Introduction to scientific notation with negative exponents
arith037 Scientific notation with negative exponent
scinot012 Converting between scientific notation and standard form in a real-world situation
scinot021 Expressing calculator notation as scientific notation
scinot008 Multiplying numbers written in scientific notation: Basic
scinot009 Multiplying numbers written in scientific notation: Advanced
scinot019 Multiplying numbers written in decimal form or scientific notation in a real-world situation
scinot010 Dividing numbers written in scientific notation: Basic
scinot011 Dividing numbers written in scientific notation: Advanced
alge758 Degree and leading coefficient of a univariate polynomial
alge031 Degree of a multivariate polynomial
alge798 Simplifying a sum or difference of two univariate polynomials
alge029 Simplifying a sum or difference of three univariate polynomials
alge932 Simplifying a sum or difference of multivariate polynomials
alge735 Multiplying a univariate polynomial by a monomial with a positive coefficient
alge972 Multiplying a univariate polynomial by a monomial with a negative coefficient
alge835 Multiplying a multivariate polynomial by a monomial
alge033 Multiplying binomials with leading coefficients of 1
alge983 Multiplying binomials with leading coefficients greater than 1
alge765 Multiplying binomials in two variables
alge764 Multiplying conjugate binomials: Univariate
alge081 Multiplying conjugate binomials: Multivariate
alge032 Squaring a binomial: Univariate
alge068 Squaring a binomial: Multivariate
alge973 Multiplying binomials with negative coefficients
alge935 Multiplication involving binomials and trinomials in one variable
alge180 Multiplication involving binomials and trinomials in two variables
alge759 Dividing a polynomial by a monomial: Univariate
alge760 Dividing a polynomial by a monomial: Multivariate
alge761 Polynomial long division: Problem type 1
alge762 Polynomial long division: Problem type 2
alge763 Polynomial long division: Problem type 3
pcalc117 Synthetic division
alge985 Closure properties of integers and polynomials
arith034 Prime numbers
arith035 Prime factorization
arith033 Greatest common factor of 2 numbers
arith516 Greatest common factor of 3 numbers
alge605 Factoring a linear binomial
alge736 Introduction to the GCF of two monomials
alge930 Greatest common factor of three univariate monomials
alge037 Greatest common factor of two multivariate monomials
alge738 Factoring out a monomial from a polynomial: Univariate
alge739 Factoring out a monomial from a polynomial: Multivariate
alge949 Factoring out a binomial from a polynomial: GCF factoring, basic
alge923 Factoring a univariate polynomial by grouping: Problem type 1
alge950 Factoring a univariate polynomial by grouping: Problem type 2
alge951 Factoring a multivariate polynomial by grouping: Problem type 1
alge952 Factoring a multivariate polynomial by grouping: Problem type 2
alge039 Factoring a quadratic with leading coefficient 1
alge942 Factoring a quadratic in two variables with leading coefficient 1
alge936 Factoring out a constant before factoring a quadratic
alge939 Factoring a quadratic with leading coefficient greater than 1: Problem type 1
alge940 Factoring a quadratic with leading coefficient greater than 1: Problem type 2
alge941 Factoring a quadratic with leading coefficient greater than 1: Problem type 3
alge978 Factoring a quadratic by the ac-method
alge265 Factoring a quadratic in two variables with leading coefficient greater than 1
alge937 Factoring a quadratic with a negative leading coefficient
alge944 Factoring a perfect square trinomial with leading coefficient 1
alge945 Factoring a perfect square trinomial with leading coefficient greater than 1
alge946 Factoring a perfect square trinomial in two variables
alge290 Factoring a difference of squares in one variable: Basic
alge947 Factoring a difference of squares in one variable: Advanced
alge839 Factoring a difference of squares in two variables
alge948 Factoring a polynomial involving a GCF and a difference of squares: Univariate
alge833 Factoring a polynomial involving a GCF and a difference of squares: Multivariate
alge041 Factoring a product of a quadratic trinomial and a monomial
alge042 Factoring with repeated use of the difference of squares formula
alge044 Factoring a sum or difference of two cubes
alge681 Solving an equation written in factored form
alge956 Finding the roots of a quadratic equation of the form ax2 + bx = 0
alge045 Finding the roots of a quadratic equation with leading coefficient 1
alge048 Finding the roots of a quadratic equation with leading coefficient greater than 1
alge211 Solving a quadratic equation needing simplification
alge046 Roots of a product of polynomials
alge323 Finding the zeros of a quadratic function given its equation
alge163 Writing a quadratic equation given the roots and the leading coefficient
alge703 Solving a word problem using a quadratic equation with rational roots
Rational Expressions
alge049 Restriction on a variable in a denominator: Linear
alge467 Restriction on a variable in a denominator: Quadratic
alge468 Evaluating a rational function: Problem type 1
alge469 Evaluating a rational function: Problem type 2
alge715 Domain of a rational function: Excluded values
alge454 Simplifying a ratio of factored polynomials: Linear factors
alge455 Simplifying a ratio of factored polynomials: Factors with exponents
alge456 Simplifying a ratio of polynomials using GCF factoring
alge457 Simplifying a ratio of linear polynomials: 1, -1, and no simplification
alge458 Simplifying a ratio of polynomials by factoring a quadratic with leading coefficient 1
alge710 Simplifying a ratio of polynomials: Problem type 1
alge682 Simplifying a ratio of polynomials: Problem type 2
alge459 Simplifying a ratio of polynomials: Problem type 3
alge034 Simplifying a ratio of multivariate polynomials
alge053 Multiplying rational expressions involving multivariate monomials
alge460 Multiplying rational expressions made up of linear expressions
alge620 Multiplying rational expressions involving quadratics with leading coefficients of 1
alge461 Multiplying rational expressions involving quadratics with leading coefficients greater than 1
alge462 Multiplying rational expressions involving multivariate quadratics
alge054 Dividing rational expressions involving multivariate monomials
alge463 Dividing rational expressions involving linear expressions
alge766 Dividing rational expressions involving quadratics with leading coefficients of 1
alge464 Dividing rational expressions involving quadratics with leading coefficients greater than 1
alge465 Dividing rational expressions involving multivariate quadratics
alge466 Multiplication and division of 3 rational expressions
alge737 Introduction to the LCM of two monomials
alge055 Least common multiple of two monomials
alge427 Finding the LCD of rational expressions with linear denominators: Relatively prime
alge428 Finding the LCD of rational expressions with linear denominators: Common factors
alge429 Finding the LCD of rational expressions with quadratic denominators
alge430 Writing equivalent rational expressions with monomial denominators
alge431 Writing equivalent rational expressions with polynomial denominators
alge304 Writing equivalent rational expressions involving opposite factors
alge433 Adding rational expressions with common denominators and monomial numerators
alge056 Adding rational expressions with common denominators and binomial numerators
alge434 Adding rational expressions with common denominators and GCF factoring
alge435 Adding rational expressions with common denominators and quadratic factoring
alge436 Adding rational expressions with different denominators and a single occurrence of a variable
alge437 Adding rational expressions with denominators ax and bx: Basic
alge438 Adding rational expressions with denominators ax and bx: Advanced
alge439 Adding rational expressions with denominators axn and bxm
alge440 Adding rational expressions with multivariate monomial denominators: Basic
alge226 Adding rational expressions with multivariate monomial denominators: Advanced
alge441 Adding rational expressions with linear denominators without common factors: Basic
alge442 Adding rational expressions with linear denominators without common factors: Advanced
alge443 Adding rational expressions with linear denominators with common factors: Basic
alge444 Adding rational expressions with linear denominators with common factors: Advanced
alge445 Adding rational expressions with denominators ax-b and b-ax
alge661 Adding rational expressions involving different quadratic denominators
alge446 Adding 3 rational expressions with different quadratic denominators
arith696 Complex fraction without variables: Problem type 2
alge470 Complex fraction involving univariate monomials
alge058 Complex fraction involving multivariate monomials
alge471 Complex fraction: GCF factoring
alge472 Complex fraction: Quadratic factoring
alge473 Complex fraction made of sums involving rational expressions: Problem type 1
alge474 Complex fraction made of sums involving rational expressions: Problem type 2
alge475 Complex fraction made of sums involving rational expressions: Problem type 3
alge476 Complex fraction made of sums involving rational expressions: Problem type 4
alge477 Complex fraction made of sums involving rational expressions: Problem type 5
alge478 Complex fraction made of sums involving rational expressions: Problem type 6
alge479 Complex fraction made of sums involving rational expressions: Multivariate
alge480 Complex fraction with negative exponents: Problem type 1
alge481 Complex fraction with negative exponents: Problem type 2
alge162 Complex fraction that contains a complex fraction
alge205 Solving a rational equation that simplifies to linear: Denominator x+a
alge769 Solving a rational equation that simplifies to linear: Denominators a, x, or ax
alge421 Solving a rational equation that simplifies to linear: Denominators ax and bx
alge422 Solving a rational equation that simplifies to linear: Like binomial denominators
alge206 Solving a rational equation that simplifies to linear: Unlike binomial denominators
alge423 Solving a rational equation that simplifies to linear: Factorable quadratic denominator
alge424 Solving a rational equation that simplifies to quadratic: Proportional form, basic
alge425 Solving a rational equation that simplifies to quadratic: Denominator x
alge212 Solving a rational equation that simplifies to quadratic: Binomial denominators, constant numerators
alge062 Solving a rational equation that simplifies to quadratic: Binomial denominators and numerators
alge426 Solving a rational equation that simplifies to quadratic: Factorable quadratic denominator
alge047 Solving a rational equation that simplifies to quadratic: Proportional form, advanced
alge508 Solving for a variable in terms of other variables in a rational equation: Problem type 1
alge509 Solving for a variable in terms of other variables in a rational equation: Problem type 2
alge510 Solving for a variable in terms of other variables in a rational equation: Problem type 3
arith612 Word problem involving multiple rates
alge770 Solving a work problem using a rational equation
alge450 Solving a distance, rate, time problem using a rational equation
alge059 Ordering fractions with variables
alge982 Identifying direct variation equations
alge938 Identifying direct variation from ordered pairs and writing equations
alge904 Writing a direct variation equation
alge175 Word problem on direct variation
alge828 Interpreting direct variation from a graph
alge905 Writing an inverse variation equation
alge903 Identifying direct and inverse variation equations
alge902 Identifying direct and inverse variation from ordered pairs and writing equations
alge176 Word problem on inverse variation
alge220 Word problem on inverse proportions
pcalc681 Writing an equation that models variation
alge772 Word problem on combined variation
pcalc917 Finding the asymptotes of a rational function: Constant over linear
pcalc918 Finding the asymptotes of a rational function: Linear over linear
pcalc790 Finding horizontal and vertical asymptotes of a rational function: Quadratic numerator or denominator
alge515 Graphing a rational function: Constant over linear
alge516 Graphing a rational function: Linear over linear
pcalc109 Graphing a rational function: Quadratic over linear
pcalc792 Graphing rational functions with holes
pcalc791 Matching graphs with rational functions: Two vertical asymptotes
alge784 Solving a quadratic inequality written in factored form
alge771 Solving a quadratic inequality
alge783 Solving a rational inequality: Problem type 1
pcalc677 Solving a rational inequality: Problem type 2
Radicals
alge413 Finding all square roots of a number
arith602 Estimating a square root
arith601 Square root of a rational perfect square
arith760 Square roots of perfect squares with signs
arith761 Square roots of integers raised to even exponents
alge415 Introduction to simplifying a radical expression with an even exponent
alge264 Square root of a perfect square monomial
alge537 Using absolute value to simplify square roots of perfect square monomials
arith094 Cube root of an integer
alge549 Finding nth roots of perfect nth powers with signs
arith768 Finding the nth root of a perfect nth power fraction
alge550 Finding the nth root of a perfect nth power monomial
alge538 Using absolute value to simplify higher radical expressions
alge539 Table for a square root function
alge546 Evaluating a cube root function
alge565 Domain of a square root function: Basic
alge566 Domain of a square root function: Advanced
alge547 Domains of higher root functions
alge543 Graphing a square root function: Problem type 1
alge544 Graphing a square root function: Problem type 2
alge545 Graphing a square root function: Problem type 3
alge548 Graphing a cube root function
alge812 Converting between radical form and exponent form
alge560 Rational exponents: Unit fraction exponents and whole number bases
alge561 Rational exponents: Unit fraction exponents and bases involving signs
alge250 Rational exponents: Non-unit fraction exponent with a whole number base
alge251 Rational exponents: Negative exponents and fractional bases
alge558 Rational exponents: Product rule
alge559 Rational exponents: Quotient rule
alge773 Rational exponents: Products and quotients with negative exponents
alge562 Rational exponents: Power of a power rule
alge249 Rational exponents: Powers of powers with negative exponents
arith093 Simplifying the square root of a whole number less than 100
arith762 Simplifying the square root of a whole number greater than 100
pcalc682 Evaluating functions: Absolute value, rational, radical
alge080 Simplifying a radical expression with an even exponent
alge520 Introduction to simplifying a radical expression with an odd exponent
alge521 Simplifying a radical expression with an odd exponent
alge275 Simplifying a radical expression with two variables
alge273 Simplifying a higher root of a whole number
alge551 Introduction to simplifying a higher radical expression
alge552 Simplifying a higher radical expression: Univariate
alge811 Simplifying a higher radical expression: Multivariate
arith767 Introduction to square root addition or subtraction
arith032 Square root addition or subtraction
alge533 Square root addition or subtraction with three terms
alge531 Introduction to simplifying a sum or difference of radical expressions: Univariate
alge532 Simplifying a sum or difference of radical expressions: Univariate
alge084 Simplifying a sum or difference of radical expressions: Multivariate
alge554 Simplifying a sum or difference of higher roots
alge555 Simplifying a sum or difference of higher radical expressions
arith764 Introduction to square root multiplication
arith765 Square root multiplication: Basic
arith039 Square root multiplication: Advanced
alge522 Introduction to simplifying a product of radical expressions: Univariate
alge523 Simplifying a product of radical expressions: Univariate
alge640 Simplifying a product of radical expressions: Multivariate
alge082 Simplifying a product of radical expressions: Multivariate, fractional expressions
alge556 Introduction to simplifying a product of higher roots
alge557 Simplifying a product of higher radical expressions
alge525 Introduction to simplifying a product involving square roots using the distributive property
alge526 Simplifying a product involving square roots using the distributive property: Basic
alge276 Simplifying a product involving square roots using the distributive property: Advanced
alge774 Special products of radical expressions: Conjugates and squaring
alge984 Classifying sums and products as rational or irrational
arith766 Simplifying a quotient of square roots
alge530 Simplifying a quotient involving a sum or difference with a square root
alge527 Rationalizing a denominator: Quotient involving square roots
alge528 Rationalizing a denominator: Square root of a fraction
alge529 Rationalizing a denominator: Quotient involving a monomial
alge534 Rationalizing a denominator using conjugates: Integer numerator
alge535 Rationalizing a denominator using conjugates: Square root in numerator
alge536 Rationalizing a denominator using conjugates: Variable in denominator
alge564 Rationalizing a denominator: Quotient involving a higher radical
alge775 Rationalizing a denominator: Quotient involving higher radicals and monomials
alge563 Simplifying products or quotients of higher radicals with different indices: Univariate
alge776 Simplifying products or quotients of higher radicals with different indices: Multivariate
alge400 Introduction to solving a radical equation
alge089 Solving a radical equation that simplifies to a linear equation: One radical, basic
alge402 Solving a radical equation that simplifies to a linear equation: One radical, advanced
alge090 Solving a radical equation that simplifies to a linear equation: Two radicals
alge403 Solving a radical equation that simplifies to a quadratic equation: One radical, basic
alge404 Solving a radical equation that simplifies to a quadratic equation: One radical, advanced
alge411 Solving a radical equation with a quadratic expression under the radical
alge405 Solving a radical equation with two radicals that simplifies to sqrt(x) = a
alge182 Solving a radical equation that simplifies to a quadratic equation: Two radicals
alge412 Algebraic symbol manipulation with radicals
alge542 Word problem involving radical equations: Basic
alge409 Word problem involving radical equations: Advanced
alge410 Solving an equation with a root index greater than 2: Problem type 1
alge417 Solving an equation with a root index greater than 2: Problem type 2
alge698 Solving an equation of the form x3 = a using integers
geom565 Finding the side length of a cube given its volume
alge093 Solving an equation using the odd-root property: Problem type 1
alge228 Solving an equation using the odd-root property: Problem type 2
alge416 Solving an equation with exponent 1/a: Problem type 1
alge418 Solving an equation with exponent 1/a: Problem type 2
alge778 Using i to rewrite square roots of negative numbers
alge779 Simplifying a product and quotient involving square roots of negative numbers
pcalc048 Adding or subtracting complex numbers
pcalc049 Multiplying complex numbers
pcalc050 Dividing complex numbers
pcalc053 Simplifying a power of i
Quadratic and Exponential Functions
alge962 Solving an equation of the form x2 = a using the square root property
alge958 Solving a quadratic equation using the square root property: Decimal answers, basic
alge959 Solving a quadratic equation using the square root property: Decimal answers, advanced
alge092 Solving a quadratic equation using the square root property: Exact answers, basic
alge227 Solving a quadratic equation using the square root property: Exact answers, advanced
alge094 Completing the square
alge960 Solving a quadratic equation by completing the square: Decimal answers
alge780 Solving a quadratic equation by completing the square: Exact answers
alge095 Applying the quadratic formula: Exact answers
alge963 Applying the quadratic formula: Decimal answers
pcalc051 Solving a quadratic equation with complex roots
alge214 Discriminant of a quadratic equation
alge193 Discriminant of a quadratic equation with parameter
alge524 Solving a word problem using a quadratic equation with irrational roots
alge781 Solving an equation that can be written in quadratic form: Problem type 1
alge782 Solving an equation that can be written in quadratic form: Problem type 2
alge230 Solving an equation with positive rational exponent
alge231 Solving an equation with negative rational exponent
alge974 Finding the vertex, x-intercepts, and axis of symmetry from the graph of a parabola
alge569 Graphing a parabola of the form y = x2 + bx + c
pcalc746 Graphing a parabola of the form y = ax2 + bx + c: Integer coefficients
pcalc747 Graphing a parabola of the form y = ax2 + bx + c: Rational coefficients
alge320 Writing a quadratic function given its zeros
alge277 Finding the x-intercept(s) and the vertex of a parabola
pcalc714 Using a graphing calculator to find the zeros of a quadratic function
pcalc793 Using a graphing calculator to find the x-intercept(s) and vertex of a quadratic function
alge319 Rewriting a quadratic function in standard form
pcalc774 Rewriting a quadratic function to find the vertex of its graph
pcalc775 Finding the maximum or minimum of a quadratic function
alge785 Word problem involving the maximum or minimum of a quadratic function
alge975 Domain and range from the graph of a parabola
alge976 Range of a quadratic function
pcalc680 Writing the equation of a quadratic function given its graph
alge957 Solving a quadratic equation by graphing
alge996 Comparing properties of quadratic functions given in different forms
alge702 Classifying the graph of a function
mstat102 Choosing a quadratic model and using it to make a prediction
fun019 Sum, difference, and product of two functions
alge786 Quotient of two functions: Basic
alge716 Introduction to the composition of two functions
fun022 Composition of two functions: Basic
pcalc776 Expressing a function as a composition of two functions
fun021 Composition of two functions: Domain and range
alge129 Composition of two functions: Advanced
pcalc924 Determining whether an equation defines a function: Basic
pcalc757 Determining whether an equation defines a function: Advanced
fun011 Horizontal line test
pcalc777 Determining whether two functions are inverses of each other
fun012 Inverse functions: Linear, discrete
alge130 Inverse functions: Rational
pcalc778 Inverse functions: Quadratic, cubic, radical
alge971 Table for an exponential function
alge969 Graphing an exponential function: f(x) = ax
alge970 Graphing an exponential function: f(x) = a(b)x
alge712 Graphing an exponential function and its asymptote: f(x) = a(b)x
alge321 Finding domain and range from the graph of an exponential function
pcalc922 Translating the graph of an exponential function
pcalc797 The graph, domain, and range of an exponential function
pcalc103 Graphing an exponential function and its asymptote: f(x) = a(e)x-b + c
alge830 Evaluating an exponential function that models a real-world situation
pcalc919 Evaluating an exponential function with base e that models a real-world situation
alge177 Finding a final amount in a word problem on exponential growth or decay
alge741 Finding the final amount in a word problem on compound interest
alge966 Finding the initial amount and rate of change given an exponential function
alge968 Writing an equation that models exponential growth or decay
alge967 Writing an exponential function rule given a table of ordered pairs
mstat103 Choosing an exponential model and using it to make a prediction
alge993 Comparing linear, polynomial, and exponential functions
pcalc114 Even and odd functions: Problem type 1
pcalc764 Finding zeros of a polynomial function written in factored form
pcalc766 Finding a polynomial of a given degree with given zeros: Real zeros
pcalc765 Finding x- and y-intercepts given a polynomial function
pcalc782 Determining the end behavior of the graph of a polynomial function
pcalc783 Matching graphs with polynomial functions
pcalc738 Inferring properties of a polynomial function from its graph
pcalc794 Using a graphing calculator to find local extrema of a polynomial function
pcalc115 Using a graphing calculator to solve a word problem involving a local extremum of a polynomial function
pcalc786 Using the remainder theorem to evaluate a polynomial
pcalc787 The Factor Theorem
pcalc758 Finding all possible rational zeros using the rational zeros theorem: Problem type 1
pcalc759 Finding all possible rational zeros using the rational zeros theorem: Problem type 2
pcalc788 Descartes' Rule of Signs
pcalc743 Using the rational zeros theorem to find all zeros of a polynomial: Rational zeros
pcalc744 Using the rational zeros theorem to find all zeros of a polynomial: Irrational zeros
pcalc795 Using a graphing calculator to find zeros of a polynomial function
pcalc704 Using a graphing calculator to solve a word problem involving a polynomial of degree 3
pcalc785 Multiplying expressions involving complex conjugates
pcalc767 Finding a polynomial of a given degree with given zeros: Complex zeros
pcalc745 Using the rational zeros theorem to find all zeros of a polynomial: Complex zeros
pcalc703 Using the conjugate zeros theorem to find all zeros of a polynomial
pcalc705 Linear factors theorem and conjugate zeros theorem
alge108 Converting between logarithmic and exponential equations
pcalc799 Converting between natural logarithmic and exponential equations
alge232 Evaluating a logarithmic expression
alge233 Solving an equation of the form logba = c
pcalc923 Translating the graph of a logarithmic function
alge788 Graphing a logarithmic function: Basic
pcalc800 The graph, domain, and range of a logarithmic function
pcalc104 Graphing a logarithmic function: Advanced
pcalc708 Basic properties of logarithms
pcalc779 Expanding a logarithmic expression: Problem type 1
pcalc780 Expanding a logarithmic expression: Problem type 2
alge787 Writing an expression as a single logarithm
pcalc612 Change of base for logarithms: Problem type 1
pcalc613 Change of base for logarithms: Problem type 2
pcalc803 Solving a multi-step equation involving a single logarithm
pcalc804 Solving a multi-step equation involving natural logarithms
pcalc805 Solving an equation involving logarithms on both sides: Problem type 2
alge113 Solving an equation involving logarithms on both sides: Problem type 1
alge301 Solving an exponential equation by finding common bases: Linear exponents
alge482 Solving an exponential equation by finding common bases: Linear and quadratic exponents
pcalc920 Solving an exponential equation by using logarithms: Decimal answers, basic
pcalc921 Solving an exponential equation by using natural logarithms: Decimal answers
alge111 Solving an exponential equation by using logarithms: Exact answers in logarithmic form
pcalc806 Using a graphing calculator to solve an exponential or logarithmic equation
alge178 Finding the time to reach a limit in a word problem on exponential growth or decay
pcalc614 Finding the initial or final amount in a word problem on exponential growth or decay
pcalc615 Finding the rate or time in a word problem on continuous exponential growth or decay
Segments, Angles, and Triangles
geom349 Naming segments, rays, and lines
geom459 Analyzing relationships between points, lines, and planes given a figure
geom359 Identifying congruent shapes on a grid
geom407 Matching basic geometric terms with their definitions
geom392 Introduction to segment addition
geom394 Computing distances between decimals on a number line
geom393 Finding a point on a number line given the length of a segment and another point
geom395 Midpoint of a number line segment: Integers
geom396 Midpoint of a number line segment: Decimals
geom397 Using a segment's midpoint and endpoint to locate the other endpoint
geom521 Segment addition and midpoints
geom399 Finding a point that partitions a number line segment in a given fractional relationship
geom390 Finding a point that partitions a number line segment in a given ratio
alge132 Distance between two points in the plane: Exact answers
alge324 Distance between two points in the plane: Decimal answers
geom458 Identifying congruent segments in the plane
alge191 Midpoint of a line segment in the plane
alge414 Finding an endpoint of a line segment given the other endpoint and the midpoint
geom406 Finding a point that partitions a segment in the plane in a given fractional relationship
geom391 Finding a point that partitions a segment in the plane in a given ratio
geom151 Measuring an angle with the protractor
geom152 Drawing an angle with the protractor
geom303 Acute, obtuse, and right angles
geom460 Naming angles, sides of angles, and vertices
geom039 Finding supplementary and complementary angles
geom454 Introduction to angle addition
geom551 Finding the complement or supplement of an angle given a figure
geom552 Solving an equation involving complementary or supplementary angles
geom850 Angle addition with relationships between angles
geom851 Angle addition and angle bisectors
geom800 Identifying linear pairs and vertical angles
geom553 Finding angle measures given two intersecting lines
geom500 Solving equations involving vertical angles and linear pairs
geom001 Finding an angle measure of a triangle given two angles
geom389 Constructing congruent line segments
geom158 Constructing an angle bisector
geom159 Constructing congruent angles
geom154 Constructing the perpendicular bisector of a line segment
geom457 Making conjectures given a geometric construction
mstat042 Interpreting a Venn diagram of 2 sets
glogic001 Conditional statements and negations
glogic005 The converse, inverse, and contrapositive of a conditional statement
glogic011 Writing the converse, inverse, and contrapositive of a conditional statement and determining their truth values
glogic012 Writing a biconditional statement as a conditional statement and its converse and determining truth values
glogic013 Finding counterexamples to conjectures
glogic008 Conditional statements and deductive reasoning
geom665 Distinguishing between undefined terms, definitions, postulates, conjectures, and theorems
geom616 Introduction to proofs: Justifying statements
geom614 Proofs involving segment congruence
geom611 Proofs involving angle congruence
geom304 Identifying corresponding and alternate angles
geom554 Finding angle measures given two parallel lines cut by a transversal
geom531 Solving equations involving angles and a pair of parallel lines
geom503 Solving equations involving angles and two pairs of parallel lines
geom584 Establishing facts about the angles created when parallel lines are cut by a transversal
geom150 Constructing a pair of perpendicular lines
geom157 Constructing a pair of parallel lines
geom835 Introduction to proofs involving parallel lines
geom836 Proofs involving parallel lines
geom306 Acute, obtuse, and right triangles
geom626 Classifying scalene, isosceles, and equilateral triangles by side lengths
geom307 Classifying scalene, isosceles, and equilateral triangles by side lengths or angles
geom322 Identifying coordinates that give right triangles
geom323 Identifying scalene, isosceles, and equilateral triangles given coordinates of their vertices
geom908 Finding an angle measure for a triangle with an extended side
geom812 Finding an angle measure given extended triangles
geom813 Finding an angle measure given a triangle and parallel lines
geom628 Finding angle measures of a triangle given angles with variables
geom586 Establishing facts about the interior angles of a triangle
geom587 Establishing facts about the interior and exterior angles of a triangle
geom519 Identifying and naming congruent parts of congruent triangles
geom357 Identifying transformations
geom325 Determining if figures are related by rigid motions
geom327 Examining triangle congruence in terms of rigid motion
geom329 Exploring the triangle congruence theorems
geom418 Completing proofs involving congruent triangles using SSS or SAS
geom420 Introduction to proving triangles congruent using SSS or SAS
geom520 Identifying and naming congruent triangles
geom419 Completing proofs involving congruent triangles using ASA or AAS
geom421 Introduction to proving triangles congruent using ASA or AAS
geom837 Proofs involving congruent triangles and segment or angle bisectors
geom647 Separating overlapping triangles and identifying common features
geom840 Proofs involving congruent triangles that overlap: Basic
geom423 Proofs involving congruent triangles with parallel or perpendicular segments
geom424 Determining when to apply the HL congruence property
geom425 Introduction to proving triangles congruent using the HL property
geom422 Introduction to proofs involving congruent triangles and CPCTC
geom839 Proofs involving congruent triangles, parallel or perpendicular segments, and CPCTC
geom843 Proofs involving congruent triangles that overlap: Advanced
geom645 Finding side lengths and angle measures of isosceles and equilateral triangles
geom309 Finding an angle measure for a triangle sharing a side with another triangle
geom629 Finding angle measures of an isosceles triangle given angles with variables
geom363 Proofs of theorems involving isosceles triangles
alge407 Introduction to the Pythagorean Theorem
geom044 Pythagorean Theorem
alge675 Using the Pythagorean Theorem to find distance on a grid
alge408 Word problem involving the Pythagorean Theorem
alge713 Using the Pythagorean Theorem and a quadratic equation to find side lengths of a right triangle
geom862 Using the Pythagorean Theorem repeatedly
geom603 Identifying side lengths that give right triangles
geom589 Demonstrating the converse of the Pythagorean Theorem
geom449 Classifying segments inside triangles
geom446 Using the circumcenter of a triangle to find segment lengths
geom447 Using the incenter of a triangle to find segment lengths and angle measures
geom448 Using the centroid of a triangle to find segment lengths
geom413 Introduction to the triangle midsegment theorem
geom324 Proving the triangle midsegment theorem in the coordinate plane
geom441 Proof involving points on the perpendicular bisector of a line segment
geom544 Creating triangles from given side lengths: Problem type 1
geom634 Creating triangles from given side lengths: Problem type 2
geom844 Using triangle inequality to determine if side lengths form a triangle
geom664 Using triangle inequality to determine possible lengths of a third side
geom548 Determining if a triangle is possible based on given angle measures
geom549 Determining if given measurements define a unique triangle, more than one triangle, or no triangle
geom546 Drawing triangles with given conditions: Angle measures
geom547 Drawing triangles with given conditions: Side lengths and angle measures
geom543 Drawing a circle with a given radius or diameter
geom545 Drawing triangles with given side lengths using a compass
geom854 Relationship between angle measures and side lengths in a triangle
geom855 Relationship between angle measures and side lengths in two triangles
geom451 Using the hinge theorem
geom650 Indirect proof (proof by contradiction)
Polygons, Similarity, and Transformations
geom361 Naming polygons
geom870 Sum of the angle measures of a quadrilateral
geom656 Finding the sum of the interior angle measures of a convex polygon given the number of sides
geom655 Finding the number of sides of a convex polygon given the sum of the measures of the interior angles
geom657 Finding a missing interior angle measure in a convex polygon
geom658 Finding the measures of an interior angle and an exterior angle of a regular polygon
geom659 Finding the number of sides of a regular polygon given the measure of an interior angle
geom867 Identifying parallelograms, rectangles, and squares
geom310 Properties of quadrilaterals
geom532 Classifying parallelograms
geom528 Finding measures involving diagonals of parallelograms
geom527 Conditions for parallelograms
geom833 Finding measures involving diagonals of rectangles
geom436 Finding angle measures involving diagonals of a rhombus
geom523 Conditions for quadrilaterals
geom661 Completing proofs of theorems involving sides of a parallelogram
geom662 Completing proofs of theorems involving angles of a parallelogram
geom536 Drawing and identifying a polygon in the coordinate plane
geom818 Finding the coordinates of a point to make a parallelogram
geom819 Finding coordinates of vertices of polygons
geom321 Proving that a quadrilateral with given vertices is a parallelogram
geom408 Classifying parallelograms in the coordinate plane
geom863 Congruence in the coordinate plane
geom360 Identifying similar or congruent shapes on a grid
geom583 Finding angle measures of a triangle given two angles of a similar triangle
geom585 Finding angle measures and side ratios to determine if two triangles are similar
geom037 Similar polygons
geom038 Similar right triangles
geom337 Indirect measurement
geom510 Triangles and parallel lines
geom475 Triangles and angle bisectors
geom326 Determining if figures are related by similarity transformations
geom328 Examining triangle similarity in terms of similarity transformations
geom364 Identifying and naming similar triangles
geom365 Proofs involving similar triangles
geom472 Completing proofs involving the triangle proportionality theorem
geom461 Proving the slope criterion for parallel or perpendicular lines
geom538 Finding lengths using scale models
geom539 Finding a scale factor: Same units
geom541 Using a scale drawing to find actual area
geom542 Reproducing a scale drawing at a different scale
geom452 Identifying similar right triangles that overlap
alge814 Using right triangles to find the slope of a line
geom507 Right triangles and geometric mean
geom473 Proving the Pythagorean Theorem using similar triangles
geom860 Special right triangles: Decimal answers
geom506 Special right triangles: Exact answers
geom596 Translating a point and giving its coordinates: One step
geom909 Translating a point and giving its coordinates: Two steps
geom597 Properties of translated figures
geom598 Determining if figures are related by a translation
geom330 Translating a polygon
geom331 Using a translated point to find coordinates of other translated points
geom375 Understanding the definition of a translation
arith408 Reflecting a point across an axis
geom533 Reflecting a point across both coordinate axes
geom590 Reflecting a point across an axis and giving its coordinates
arith407 Finding the coordinates of a point reflected across an axis
geom560 Finding the coordinates of a point reflected across both axes
geom534 Reflecting a polygon across the x-axis or y-axis
geom591 Properties of reflected figures
geom592 Determining if figures are related by a reflection
geom332 Reflecting a polygon over a vertical or horizontal line
geom333 Finding the coordinates of three points reflected over an axis
geom602 Finding the coordinates of a point reflected across an axis and translated
geom376 Understanding the definition of a reflection
geom593 Rotating a point and giving its coordinates
geom594 Properties of rotated figures
geom595 Determining if figures are related by a rotation
geom335 Rotating a figure about the origin
geom377 Understanding the definition of a rotation
geom334 Drawing lines of symmetry
geom815 Finding an angle of rotation
geom624 Identifying rotational symmetry and angles of rotation
geom831 Rotational and point symmetries
geom369 Writing a rule to describe a translation
geom370 Writing a rule to describe a reflection
geom371 Writing a rule to describe a rotation
geom373 Identifying transformations that map a quadrilateral onto itself
geom374 Identifying transformations that map a regular polygon onto itself
geom580 Determining if figures are congruent and related by a transformation
geom581 Determining if figures are congruent and related by a sequence of transformations
geom606 Dilating a segment and giving the coordinates of its endpoints
geom607 The effect of dilation on side length
geom608 Determining if figures are related by a dilation
geom636 The effect of dilation on area
geom336 Dilating a figure
geom372 Writing a rule to describe a dilation
geom582 Determining if figures are similar and related by a sequence of transformations
geom463 Exploring similarity of circles
geom379 Exploring the effect of dilation on lines
Area, Volume, and Circles
geom022 Area of a parallelogram
geom501 Finding the area of a right triangle on a grid
geom509 Finding the area of a right triangle or its corresponding rectangle
geom801 Area of a triangle
geom537 Finding the perimeter or area of a rectangle in the coordinate plane
geom430 Word problem on population density
geom426 Finding the perimeter of a triangle, trapezoid, or parallelogram in the coordinate plane
geom437 Finding the area of a triangle or parallelogram in the coordinate plane
geom440 Finding the area of a right triangle using the Pythagorean Theorem
geom068 Computing an area using the Pythagorean Theorem
geom588 Informal proof of the Pythagorean Theorem
geom344 Area involving rectangles and triangles
alge724 Finding an area in terms of variables
geom517 Finding the area of a trapezoid on a grid by using triangles and rectangles
geom023 Area of a trapezoid
geom434 Area of a rhombus
geom435 Finding the area of a rhombus using the Pythagorean Theorem
geom438 Finding the area of a trapezoid, rhombus, or kite in the coordinate plane
geom213 Area of a regular polygon
geom479 Finding the area of a regular polygon using special right triangles
geom481 Side lengths, perimeters, and areas of similar polygons
geom347 Introduction to a circle: Diameter, radius, and chord
geom016 Circumference of a circle
geom218 Finding the radius or the diameter of a circle given its circumference
geom427 Informal argument for the formula of the circumference of a circle
geom838 Circumference ratios
geom301 Perimeter involving rectangles and circles
geom026 Area of a circle
geom802 Circumference and area of a circle
geom477 Circumference and area of a circle: Exact answers in terms of pi
geom570 Distinguishing between the area and circumference of a circle
geom428 Informal argument for the formula of the area of a circle
geom302 Area involving rectangles and circles
geom563 Area between two concentric circles
geom036 Word problem involving the area between two concentric circles
geom214 Area involving inscribed figures
geom649 Area involving multiple inscribed figures
geom212 Circles inscribed in and circumscribed about regular polygons
geom126 Area of a sector of a circle: Exact answer in terms of pi
geom429 Informal argument for the formula of the area of a sector
geom868 Classifying solids
geom348 Vertices, edges, and faces of a solid
geom219 Nets of solids
geom861 Nets of solids: Advanced
geom830 Counting the cubes in a solid made of cubes
geom816 Side views of a solid made of cubes
geom550 Identifying horizontal and vertical cross sections of solids
geom381 Identifying solids generated by rotations of two-dimensional regions
geom443 Identifying geometric shapes that model real-world objects
geom491 Identifying properties of Euclidean and spherical geometries
geom031 Surface area of a cube or a rectangular prism
geom632 Surface area of a rectangular prism made of unit cubes
geom556 Using a net to find the surface area of a rectangular prism
geom576 Word problem involving the surface area of a rectangular prism
geom345 Surface area of a piecewise rectangular prism made of unit cubes
geom091 Surface area of a triangular prism
geom557 Using a net to find the surface area of a triangular prism
geom621 Surface area of a cylinder
geom034 Surface area of a cylinder: Exact answers in terms of pi
geom578 Word problem involving the surface area of a cylinder
geom484 Word problem involving the surface area of rectangular prisms and cylinders
geom483 Word problem involving the surface area of rectangular prisms and pyramids
geom354 Volume of a rectangular prism made of unit cubes
geom555 Distinguishing between surface area and volume
geom518 Volume of a solid made of cubes with unit fraction edge lengths
geom535 Volume of a rectangular prism with fractional edge lengths
geom865 Measuring the net of a solid to find surface area or volume
geom382 Volume of an oblique rectangular prism
alge617 Writing equivalent expressions for the volume of a rectangular prism
geom558 Word problem involving the rate of filling or emptying a rectangular prism
geom386 Computations involving density, mass, and volume
geom387 Word problem on density involving the volume of a rectangular solid
geom505 Volume of a piecewise rectangular prism
geom090 Volume of a triangular prism
geom572 Word problem involving the volume of a triangular prism
geom035 Volume of a cylinder
geom385 Informal argument for the formula of the volume of a cylinder
geom383 Volume of an oblique cylinder
geom573 Word problem involving the volume of a cylinder
geom092 Word problem involving the rate of filling or emptying a cylinder
geom388 Word problem on density involving the volume of a cylindrical solid
geom384 Using cross sections to identify solids with the same volume
geom133 Ratio of volumes
geom033 Volume of a pyramid
geom637 Relating the volumes of a rectangular prism and a rectangular pyramid
geom638 Relating the volumes of a triangular prism and a triangular pyramid
geom622 Volume of a cone
geom086 Volume of a cone: Exact answers in terms of pi
geom639 Relating the volumes of a cylinder and a cone
geom575 Word problem involving the volume of a cone
geom842 Surface area of a sphere
geom841 Volume of a sphere
geom574 Word problem involving the volume of a sphere
geom488 Identifying similar solids
geom846 Computing ratios of side lengths, surface areas, and volumes for similar solids
geom489 Computing side length, surface area, and volume for similar solids
geom654 Informal argument for the formula of the volume of a cone
geom490 Word problem involving volumes of similar solids
geom464 Identifying chords, secants, and tangents of a circle
geom848 Tangents of a circle: Problem type 1
geom849 Tangents of a circle: Problem type 2
geom470 Constructing a tangent of a circle
geom465 Naming and finding measures of central angles, inscribed angles, and arcs of a circle
geom467 Applying properties of radii, diameters, and chords
geom466 Arc length
geom805 Arc length and area of a sector of a circle
geom653 Computing ratios of arc lengths to radii and describing the result
geom468 Central angles and inscribed angles of a circle
geom469 Central angles and angles involving chords and tangents of a circle
geom666 Inscribed angles in relation to a diameter or a polygon inscribed in a circle
geom667 Inscribed angles and angles involving chords and tangents of a circle
geom492 Establishing facts about a quadrilateral inscribed in a circle
geom312 Inscribing an equilateral triangle or a regular hexagon in a circle
geom313 Inscribing a square in a circle
geom314 Inscribing a circle in a triangle
geom315 Circumscribing a circle about a triangle
geom567 Angles of intersecting secants and tangents
geom568 Lengths of chords, secants, and tangents
Sequences, Probability, and Conics
alge644 Finding the first terms of an arithmetic sequence using an explicit rule
alge645 Finding the first terms of a geometric sequence using an explicit rule
pcalc080 Finding the first terms of a sequence using an explicit rule with multiple occurrences of n
alge925 Finding the next terms of an arithmetic sequence with whole numbers
alge906 Finding the next terms of an arithmetic sequence with integers
alge908 Finding the first terms of a sequence using a recursive rule
alge979 Identifying arithmetic sequences and finding the common difference
alge931 Finding a specified term of an arithmetic sequence given the first terms
pcalc085 Finding a specified term of an arithmetic sequence given the common difference and first term
pcalc715 Finding a specified term of an arithmetic sequence given two terms of the sequence
alge909 Writing an explicit rule for an arithmetic sequence
alge910 Writing a recursive rule for an arithmetic sequence
pcalc718 Sum of the first n terms of an arithmetic sequence
alge732 Finding patterns in shapes
alge933 Finding the next terms of a geometric sequence with whole numbers
alge907 Finding the next terms of a geometric sequence with signed numbers
alge981 Identifying arithmetic and geometric sequences
alge980 Identifying geometric sequences and finding the common ratio
alge934 Finding a specified term of a geometric sequence given the first terms
pcalc086 Finding a specified term of a geometric sequence given the common ratio and first term
pcalc717 Finding a specified term of a geometric sequence given two terms of the sequence
pcalc713 Arithmetic and geometric sequences: Identifying and writing an explicit rule
alge911 Writing recursive rules for arithmetic and geometric sequences
pcalc719 Sum of the first n terms of a geometric sequence
pcalc720 Sum of an infinite geometric series
alge965 Identifying linear, quadratic, and exponential functions given ordered pairs
mstat088 Identifying statistical questions
mstat080 Choosing an appropriate method for gathering data: Problem type 1
mstat081 Choosing an appropriate method for gathering data: Problem type 2
mstat047 Introduction to expectation
mstat097 Constructing a two-way frequency table: Basic
mstat098 Constructing a two-way frequency table: Advanced
mstat049 Computing a percentage from a table of values
mstat087 Making an inference using a two-way frequency table
stat020 Calculating relative frequencies in a contingency table
stat805 Making a reasonable inference based on proportion statistics
mstat037 Constructing a line plot
mstat004 Constructing a histogram for numerical data
mstat024 Interpreting a bar graph
mstat044 Interpreting a double bar graph
mstat031 Interpreting a stem-and-leaf plot
arith856 Finding a percentage of a total amount in a circle graph
stat801 Computations from a circle graph
geom814 Angle measure in a circle graph
mstat003 Mode of a data set
mstat055 Finding the mode and range of a data set
mstat001 Mean of a data set
mstat089 Computations involving the mean, sample size, and sum of a data set
stat803 Finding the value for a new score that will yield a given mean
stat802 Rejecting unreasonable claims based on average statistics
mstat066 Weighted mean
mstat028 Mean and median of a data set
mstat029 How changing a value affects the mean and median
mstat095 Finding outliers in a data set
mstat053 Choosing the best measure to describe data
stat009 Percentiles
mstat043 Interpreting a Venn diagram of 3 sets
stat119 Venn diagrams: Two events
stat101 Venn diagrams: Word problems
mstat041 Interpreting a tree diagram
mstat040 Introduction to the counting principle
mstat015 Counting principle
pcalc082 Factorial expressions
mstat017 Computing permutations and combinations
pcalc809 Introduction to permutations and combinations
pcalc810 Permutations and combinations: Problem type 1
pcalc089 Permutations and combinations: Problem type 2
pcalc090 Permutations and combinations: Problem type 3
pcalc087 Binomial formula
mstat099 Determining a sample space and outcomes for a simple event
mstat100 Determining a sample space and outcomes for a compound event
mstat026 Introduction to the probability of an event
mstat010 Probability of an event
mstat046 Experimental and theoretical probability
stat106 Outcomes and event probability
stat112 Probabilities involving two dice
mstat116 Probabilities of a permutation and a combination
mstat048 Odds of an event
mstat011 Area as probability
mstat019 Identifying independent events given descriptions of experiments
stat850 Probability of independent events
stat851 Probability of dependent events
stat117 Probabilities of draws with replacement
stat118 Probabilities of draws without replacement
mstat115 Determining outcomes for compound events and complements of events
mstat110 Using a Venn diagram to understand the multiplication rule for probability
mstat107 Outcomes and event probability: Conditional probability
mstat104 Identifying independent events given values of probabilities
mstat105 Computing conditional probability using a two-way frequency table
mstat106 Computing conditional probability to make an inference using a two-way frequency table
mstat118 Conditional probability: Basic
mstat109 Using a Venn diagram to understand the addition rule for probability
mstat108 Outcomes and event probability: Addition rule
mstat032 Probability of the union of two events
mstat117 Probability of intersection or union: Word problems
stat174 Binomial problems: Basic
stat155 Binomial problems: Advanced
mstat085 Identifying outcomes in a random number table used to simulate a compound event
mstat086 Using a random number table to simulate a compound event
mstat114 Using a random number table to make a fair decision
mstat027 Using back-to-back stem-and-leaf plots to compare data sets
mstat072 Five-number summary and interquartile range
mstat006 Constructing a box-and-whisker plot
mstat073 Using box-and-whisker plots to compare data sets
mstat082 Computing mean absolute deviation from a list of numerical values
stat021 Population standard deviation
stat852 Word problem involving calculations from a normal distribution
pcalc566 Graphing a parabola of the form y2 = ax or x2 = ay
pcalc067 Graphing a parabola of the form ay2 + by + cx + d = 0 or ax2 + bx + cy + d = 0
geom494 Deriving the equation of a parabola given its focus and directrix
pcalc068 Writing an equation of a parabola given the vertex and the focus
pcalc069 Finding the focus of a parabola of the form ay2 + by + cx + d = 0 or ax2 + bx + cy + d = 0
geom496 Identifying the center and radius to graph a circle given its equation in standard form
geom497 Identifying the center and radius to graph a circle given its equation in general form: Basic
geom668 Identifying the center and radius to graph a circle given its equation in general form: Advanced
geom499 Writing the equation of a circle centered at the origin given its radius or a point on the circle
geom495 Writing an equation of a circle and identifying points that lie on the circle
geom498 Writing an equation of a circle given its center and radius or diameter
geom493 Deriving the equation of a circle using the Pythagorean Theorem
pcalc065 Writing an equation of a circle given its center and a point on the circle
pcalc066 Writing an equation of a circle given the endpoints of a diameter
pcalc734 Graphing an ellipse given its equation in standard form
pcalc070 Graphing an ellipse centered at the origin: Ax2 + By2 = C
pcalc071 Graphing an ellipse given its equation in general form
pcalc072 Finding the foci of an ellipse given its equation in general form
pcalc074 Writing an equation of an ellipse given the center, an endpoint of an axis, and the length of the other axis
pcalc735 Graphing a hyperbola given its equation in standard form
pcalc075 Graphing a hyperbola centered at the origin: Ax2 - By2 - C = 0
pcalc076 Graphing a hyperbola given its equation in general form
pcalc077 Finding the foci of a hyperbola given its equation in general form
pcalc078 Writing an equation of a hyperbola given the foci and the vertices
pcalc736 Classifying conics given their equations
pcalc748 Graphing a quadratic inequality: Problem type 1
pcalc749 Graphing a quadratic inequality: Problem type 2
alge994 Graphically solving a system of linear and quadratic equations
alge995 Solving a system of linear and quadratic equations
pcalc716 Using a graphing calculator to solve a system of linear and quadratic equations: Basic
pcalc796 Using a graphing calculator to solve a system of equations
pcalc098 Solving a system of nonlinear equations: Problem type 1
pcalc096 Graphing a system of nonlinear inequalities: Problem type 1
pcalc097 Graphing a system of nonlinear inequalities: Problem type 2
Trigonometry
pcalc609 Sine, cosine, and tangent ratios: Numbers for side lengths
pcalc600 Sine, cosine, and tangent ratios: Variables for side lengths
pcalc616 Using a calculator to approximate sine, cosine, and tangent values
pcalc606 Using the Pythagorean Theorem to find a trigonometric ratio
pcalc008 Finding trigonometric ratios given a right triangle
geom317 Understanding trigonometric ratios through similar right triangles
geom316 Relationship between the sines and cosines of complementary angles
geom318 Using similar right triangles to find trigonometric ratios
pcalc607 Using a trigonometric ratio to find a side length in a right triangle
pcalc610 Using trigonometry to find a length in a word problem with one right triangle
pcalc608 Using a trigonometric ratio to find an angle measure in a right triangle
pcalc611 Using trigonometry to find angles of elevation or depression in a word problem
pcalc642 Solving a right triangle
pcalc001 Converting degrees-minutes-seconds to decimal degrees
pcalc661 Converting a decimal degree to degrees-minutes-seconds
pcalc002 Converting between degree and radian measure: Problem type 1
pcalc621 Converting between degree and radian measure: Problem type 2
pcalc006 Sketching an angle in standard position
pcalc622 Coterminal angles
pcalc005 Arc length and central angle measure
pcalc623 Area of a sector of a circle
pcalc627 Finding coordinates on the unit circle for special angles
pcalc629 Trigonometric functions and special angles: Problem type 1
pcalc628 Finding trigonometric ratios from a point on the unit circle
pcalc630 Trigonometric functions and special angles: Problem type 2
pcalc631 Trigonometric functions and special angles: Problem type 3
pcalc626 Reference angles: Problem type 1
pcalc632 Reference angles: Problem type 2
pcalc671 Determining the location of a terminal point given the signs of trigonometric values
pcalc011 Finding values of trigonometric functions given information about an angle: Problem type 1
pcalc012 Finding values of trigonometric functions given information about an angle: Problem type 2
pcalc013 Finding values of trigonometric functions given information about an angle: Problem type 3
pcalc016 Values of inverse trigonometric functions
pcalc031 Solving a triangle with the law of sines: Problem type 1
pcalc032 Solving a triangle with the law of sines: Problem type 2
pcalc644 Solving a word problem using the law of sines
geom320 Proving the law of sines
pcalc033 Solving a triangle with the law of cosines
pcalc645 Solving a word problem using the law of cosines
geom409 Proving the law of cosines
geom439 Using trigonometry to find the area of a right triangle
pcalc646 Finding the area of a triangle using trigonometry
geom319 Expressing the area of a triangle in terms of the sine of one of its angles
pcalc647 Heron's formula
pcalc107 Sketching the graph of y= a sin(x+c) or y= a cos(x+c)
pcalc106 Sketching the graph of y= a sin(bx) or y= a cos(bx)
pcalc014 Sketching the graph of y= a sin(bx+c) or y= a cos(bx+c)
pcalc633 Amplitude and period of sine and cosine functions
pcalc634 Amplitude, period, and phase shift of sine and cosine functions
pcalc635 Writing the equation of a sine or cosine function given its graph: Problem type 1
pcalc636 Writing the equation of a sine or cosine function given its graph: Problem type 2
pcalc640 Word problem involving a sine or cosine function: Problem type 1
pcalc641 Word problem involving a sine or cosine function: Problem type 2
pcalc637 Matching graphs and equations for secant, cosecant, tangent, and cotangent functions
pcalc017 Sketching the graph of a secant or cosecant function: Problem type 1
pcalc638 Sketching the graph of a secant or cosecant function: Problem type 2
pcalc105 Sketching the graph of a tangent or cotangent function: Problem type 1
pcalc015 Sketching the graph of a tangent or cotangent function: Problem type 2
pcalc648 Simplifying trigonometric expressions
pcalc666 Using cofunction identities
pcalc110 Verifying a trigonometric identity
pcalc034 Proving trigonometric identities: Problem type 1
pcalc404 Proving trigonometric identities: Problem type 2
pcalc405 Proving trigonometric identities: Problem type 3
pcalc406 Proving trigonometric identities using odd and even properties
pcalc029 Sum and difference identities: Problem type 1
pcalc663 Sum and difference identities: Problem type 2
pcalc664 Sum and difference identities: Problem type 3
pcalc403 Proving trigonometric identities using sum and difference properties
pcalc030 Double-angle identities: Problem type 1
pcalc667 Double-angle identities: Problem type 2
pcalc662 Half-angle identities: Problem type 1
pcalc665 Half-angle identities: Problem type 2
pcalc402 Proving trigonometric identities using double-angle properties
pcalc650 Finding solutions in an interval for a basic equation involving sine or cosine
pcalc651 Finding solutions in an interval for a basic tangent, cotangent, secant, or cosecant equation
pcalc660 Solving a basic trigonometric equation using a calculator
pcalc020 Solving a basic trigonometric equation involving sine or cosine
pcalc021 Solving a basic trigonometric equation involving tangent, cotangent, secant, or cosecant
pcalc670 Finding solutions in an interval for a trigonometric equation in factored form
pcalc652 Finding solutions in an interval for a trigonometric equation with a squared function: Problem type 1
pcalc653 Finding solutions in an interval for a trigonometric equation with a squared function: Problem type 2
pcalc654 Finding solutions in an interval for a trigonometric equation using Pythagorean identities: Problem type 1
pcalc657 Finding solutions in an interval for an equation with sine and cosine using double-angle identities
pcalc668 Solving a trigonometric equation modeling a real-world situation
pcalc811 Using a graphing calculator to solve a trigonometric equation
pcalc022 Solving a trigonometric equation involving a squared function: Problem type 1
pcalc023 Solving a trigonometric equation involving a squared function: Problem type 2
pcalc024 Solving a trigonometric equation involving more than one function
pcalc027 Solving a trigonometric equation using double-angle identities
pcalc060 Magnitude of a vector given in component form
geom858 Scalar multiplication of a vector: Geometric Approach
pcalc739 Multiplication of a vector by a scalar: Geometric approach
pcalc063 Translation of a vector
geom856 Vector addition and scalar multiplication: Component form
vector008 Linear combination of vectors: Component form
geom857 Vector addition: Geometric approach
vector007 Vector subtraction: Geometric approach
vector002 Finding the magnitude and direction of a vector given its graph
vector005 Finding the components of a vector given its graph
vector009 Dot product of vectors given in component form
vector010 Using the dot product to find perpendicular vectors
pcalc730 Finding the angle between two vectors given in component form