ALEKS - Assessment and Learning
   

B.42 Algebra 2 with Trigonometry

 

Real Numbers and Linear Equations
arith691 Ordering integers
alge286 Plotting integers on a number line
arith687 Fractional position on a number line
arith605 Plotting rational numbers on a number line
arith108 Integer addition: Problem type 2
arith107 Integer subtraction
arith116 Signed fraction addition or subtraction: Basic
arith106 Signed fraction addition or subtraction: Advanced
arith234 Signed decimal addition and subtraction with 3 numbers
arith231 Integer multiplication and division
arith105 Signed fraction multiplication: Advanced
arith118 Order of operations with integers
arith702 Exponents and integers: Problem type 1
arith703 Exponents and integers: Problem type 2
arith704 Exponents and signed fractions
arith600 Order of operations with integers and exponents
alge005 Evaluating a linear expression: Integer multiplication with addition or subtraction
alge004 Evaluating a quadratic expression: Integers
arith071 Absolute value of a number
arith104 Operations with absolute value: Problem type 2
alge790 Evaluating expressions with exponents of zero
arith042 Evaluating an expression with a negative exponent: Positive fraction base
arith043 Evaluating an expression with a negative exponent: Negative integer base
arith029 Ordering numbers with positive exponents
arith024 Ordering numbers with negative exponents
alge059 Ordering fractions with variables
arith036 Scientific notation with positive exponent
arith037 Scientific notation with negative exponent
scinot002 Multiplying and dividing numbers written in scientific notation
alge001 Identifying numbers as integers or non-integers
alge002 Identifying numbers as rational or irrational
alge606 Distributive property: Whole number coefficients
alge604 Distributive property: Integer coefficients
alge607 Combining like terms: Integer coefficients
alge663 Combining like terms: Advanced
alge293 Combining like terms in a quadratic expression
alge187 Properties of addition
alge188 Properties of real numbers
alge010 Additive property of equality with integers
alge266 Additive property of equality with a negative coefficient
alge008 Multiplicative property of equality with whole numbers
alge740 Multiplicative property of equality with integers
alge012 Multiplicative property of equality with signed fractions
alge006 Solving a two-step equation with integers
alge208 Solving a two-step equation with signed fractions
alge824 Solving a two-step equation with signed decimals
alge200 Solving an equation to find the value of an expression
alge011 Solving a linear equation with several occurrences of the variable: Variables on the same side and distribution
alge061 Solving a linear equation with several occurrences of the variable: Variables on both sides and fractional coefficients
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
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
alge810 Introduction to algebraic symbol manipulation
alge743 Algebraic symbol manipulation: Problem type 1
alge744 Algebraic symbol manipulation: Problem type 2
alge602 Writing a one-step variable expression for a real-world situation
alge016 Translating a sentence into a one-step equation
alge291 Translating a phrase into a two-step expression
alge730 Writing a multi-step equation for a real-world situation
alge802 Solving a fraction word problem using a linear equation of the form Ax = B
alge014 Solving a word problem with two unknowns using a linear equation
alge219 Solving a decimal word problem using a linear equation with the variable on both sides
alge173 Solving a decimal word problem using a linear equation of the form Ax + B = C
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
alge794 Solving a value mixture problem using a linear equation
alge795 Solving a percent 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
alge796 Solving a distance, rate, time problem using a linear equation
arith074 Finding the sale price without a calculator given the original price and percent discount
arith031 Finding the original price given the sale price and percent discount
arith225 Finding the percentage increase or decrease: Advanced
stat801 Computations from a circle graph
mstat049 Computing a percentage from a table of values
arith232 Finding simple interest without a calculator
stat803 Finding the value for a new score that will yield a given mean
alge015 Translating a sentence by using an inequality symbol
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
alge019 Solving a linear inequality: Problem type 1
alge020 Solving a linear inequality: Problem type 2
alge021 Solving a linear inequality: Problem type 3
alge207 Solving a linear inequality: Problem type 4
alge745 Solving a linear inequality: Problem type 5
alge746 Solving a compound linear inequality: Graph solution, basic
alge747 Solving a compound linear inequality: Interval notation
alge748 Writing an inequality for a real-world situation
alge729 Writing a multi-step inequality for a real-world situation
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
alge270 Solving an absolute value equation of the form a|x| = b or |x|+a = b
alge103 Solving an absolute value equation of the form |ax+b| = c
alge167 Solving an absolute value equation of the form |ax+b| = |cx+d|
alge170 Solving an absolute value inequality: Basic
alge169 Solving an absolute value inequality: Advanced
geom044 Pythagorean Theorem
geom300 Perimeter of a square or a rectangle
geom078 Sides of polygons having the same perimeter
geom817 Finding a side length given the perimeter and side lengths with variables
geom019 Area of a square or a rectangle
geom217 Finding the side length of a rectangle given its perimeter or area
geom143 Finding the perimeter or area of a rectangle given one of these values
geom801 Area of a triangle
geom802 Circumference and area of a circle
geom838 Circumference ratios
geom036 Word problem involving the area between two concentric circles
geom311 Volume of a rectangular prism
geom035 Volume of a cylinder
geom092 Word problem involving the rate of filling or emptying a cylinder
geom133 Ratio of volumes
geom031 Surface area of a cube or a rectangular prism
geom034 Surface area of a cylinder: Exact answers in terms of pi
geom500 Solving equations involving vertical angles and linear pairs
geom502 Finding angle measures of a right or isosceles triangle given angles with variables
geom037 Similar polygons
geom337 Indirect measurement
Lines and Functions
alge064 Reading a point in the coordinate plane
alge067 Plotting a point in the coordinate plane
alge066 Finding a solution to a linear equation in two variables
alge216 Determining whether given points lie on one, both, or neither of 2 lines given equations
alge197 Graphing a line given its x- and y-intercepts
alge194 Graphing a line given its equation in slope-intercept form
alge195 Graphing a line given its equation in standard form
alge196 Graphing a line through a given point with a given slope
alge198 Graphing a vertical or horizontal line
alge069 Finding the y-intercept of a line given its equation
alge210 Finding x- and y-intercepts of a line given the equation: Advanced
alge684 Finding slope given the graph of a line on a grid
alge685 Finding slope given two points on the line
alge631 Finding the slope of a line given its equation
alge070 Writing an equation of a line given the y-intercept and another point
alge071 Writing the equation of a line given the slope and a point on the line
alge072 Writing the equation of the line through two given points
alge073 Writing the equations of vertical and horizontal lines through a given point
alge701 Writing an equation and drawing its graph to model a real-world situation: Advanced
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
geom807 Finding slopes of lines parallel and perpendicular to a line given in the form Ax + By = C
geom808 Writing equations of lines parallel and perpendicular to a given line through a point
mstat023 Scatter plots and correlation
mstat030 Sketching the line of best fit
alge018 Graphing a linear inequality in the plane: Standard form
alge225 Graphing a linear inequality in the plane: Vertical or horizontal line
alge720 Graphing a linear inequality in the plane: Slope-intercept form
set001 Set builder notation
set004 Set builder and interval notation
set002 Union and intersection of finite sets
set005 Union and intersection of intervals
fun001 Table for a linear function
pcalc760 Evaluating functions: Linear and quadratic or cubic
fun030 Evaluating a piecewise-defined function
fun033 Variable expressions as inputs of functions: Problem type 1
fun016 Domain and range from ordered pairs
fun032 Identifying functions from relations
fun010 Vertical line test
pcalc757 Determining whether an equation defines a function: Advanced
pcalc761 Finding inputs and outputs of a function from its graph
pcalc750 Finding intercepts of a nonlinear function given its 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
fun024 Domain and range from the graph of a continuous function
fun025 Domain and range from the graph of a piecewise function
alge185 Writing an equation for a function after a vertical translation
fun020 Writing an equation for a function after a vertical and horizontal 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
alge252 Graphing a parabola of the form y = ax2
alge262 Graphing a cubic function of the form y = ax3
alge168 Graphing an absolute value equation in the plane: Advanced
fun031 Graphing a piecewise-defined function: Problem type 1
mstat051 Choosing a graph to fit a narrative: Advanced
Systems of Linear Equations and Matrices
alge075 Classifying systems of linear equations from graphs
alge725 Graphically solving a system of linear equations
alge751 Solving a system of linear equations using substitution
alge076 Solving a system of linear equations using elimination with multiplication and addition
alge752 Solving a 2x2 system of linear equations that is inconsistent or consistent dependent
alge077 Creating an inconsistent system of linear 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
alge184 Solving a value mixture problem using a system of linear equations
alge224 Solving a distance, rate, time problem using a system of linear equations
alge192 Solving a percent mixture 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
alge079 Graphing a system of two linear inequalities: Basic
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
pcalc042 Finding the determinant of a 2x2 matrix
pcalc043 Finding the determinant of a 3x3 matrix
pcalc040 Finding the inverse of a 2x2 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
pcalc711 Using the inverse of a matrix to solve a 3x3 system of linear equations
pcalc712 Gauss-Jordan elimination with a 2x2 matrix
pcalc046 Solving a system of linear equations given its augmented matrix
Exponents and Polynomial Expressions
alge791 Rewriting an algebraic expression without a negative exponent
alge821 Understanding the product rule of exponents
alge024 Introduction to the product rule of exponents
alge030 Product rule with positive exponents: Multivariate
alge028 Product rule with negative exponents
alge026 Quotient of expressions involving exponents
alge755 Quotient rule with negative exponents: Problem type 1
alge826 Understanding the power rules of exponents
alge754 Introduction to the power rules of exponents
alge027 Power rules with positive exponents
alge025 Power of a power rule with negative exponents
alge799 Power rules with negative exponents
alge756 Power and product rules with positive exponents
alge757 Power, product, and quotient rules with negative exponents
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
alge735 Multiplying a univariate polynomial by a monomial with a positive coefficient
alge835 Multiplying a multivariate polynomial by a monomial
alge033 Multiplying binomials with leading coefficients of 1
alge764 Multiplying conjugate binomials: Univariate
alge765 Multiplying binomials in two variables
alge032 Squaring a binomial: Univariate
alge180 Multiplication involving binomials and trinomials in two variables
alge736 Introduction to the GCF of two 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
alge039 Factoring a quadratic with leading coefficient 1
alge043 Factoring a perfect square trinomial
alge040 Factoring a quadratic with leading coefficient greater than 1
alge265 Factoring a quadratic in two variables with leading coefficient greater than 1
alge041 Factoring a product of a quadratic trinomial and a monomial
alge624 Factoring a difference of squares
alge042 Factoring with repeated use of the difference of squares formula
alge044 Factoring a sum or difference of two cubes
alge038 Factoring a polynomial by grouping: Problem type 1
alge181 Factoring a polynomial by grouping: Problem type 2
Quadratic and Polynomial Functions
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
alge781 Solving an equation that can be written in quadratic form: Problem type 1
alge163 Writing a quadratic equation given the roots and the leading coefficient
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
alge780 Solving a quadratic equation by completing the square: Exact answers
alge095 Applying the quadratic formula: Exact answers
alge214 Discriminant of a quadratic equation
alge193 Discriminant of a quadratic equation with parameter
alge703 Solving a word problem using a quadratic equation with rational roots
alge524 Solving a word problem using a quadratic equation with irrational roots
alge277 Finding the x-intercept(s) and the vertex of a parabola
pcalc774 Rewriting a quadratic function to find the vertex of its graph
pcalc793 Using a graphing calculator to find the x-intercept(s) and vertex of a quadratic function
pcalc775 Finding the maximum or minimum of a quadratic function
alge785 Word problem involving the maximum or minimum of a quadratic function
pcalc762 Range of a quadratic function
alge253 Graphing a parabola of the form y = (x-h)2 + k
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
alge702 Classifying the graph of a function
alge723 How the leading coefficient affects the shape of a parabola
pcalc680 Writing the equation of a quadratic function given its graph
alge784 Solving a quadratic inequality written in factored form
alge771 Solving a quadratic inequality
pcalc748 Graphing a quadratic inequality: Problem type 1
pcalc749 Graphing a quadratic inequality: Problem type 2
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
pcalc786 Using the remainder theorem to evaluate a polynomial
pcalc787 The Factor Theorem
alge681 Solving an equation written in factored form
alge046 Roots of a product of polynomials
pcalc764 Finding zeros of a polynomial function written in factored form
pcalc766 Finding a polynomial of a given degree with given zeros: Real zeros
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
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
pcalc788 Descartes' Rule of Signs
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
pcalc051 Solving a quadratic equation with complex roots
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
pcalc705 Linear factors theorem and conjugate zeros theorem
pcalc765 Finding x- and y-intercepts given a polynomial function
pcalc782 Determining the end behavior of the graph of a polynomial function
pcalc738 Inferring properties of a polynomial function from its graph
pcalc783 Matching graphs with polynomial functions
pcalc795 Using a graphing calculator to find zeros of a polynomial function
pcalc794 Using a graphing calculator to find local extrema of a polynomial function
pcalc704 Using a graphing calculator to solve a word problem involving a polynomial of degree 3
pcalc115 Using a graphing calculator to solve a word problem involving a local extremum of a polynomial function
Radicals and Advanced Functions
alge213 Domain of a square root function
pcalc781 Graphing a square root function
arith016 Square root of a perfect square
arith601 Square root of a rational perfect square
arith094 Cube root of an integer
arith093 Simplifying the square root of a whole number less than 100
alge264 Square root of a perfect square monomial
alge080 Simplifying a radical expression with an even exponent
alge275 Simplifying a radical expression with two variables
alge273 Simplifying a higher root of a whole number
alge811 Simplifying a higher radical expression: Multivariate
arith032 Square root addition or subtraction
alge084 Simplifying a sum or difference of radical expressions: Multivariate
arith039 Square root multiplication: Advanced
alge640 Simplifying a product of radical expressions: Multivariate
alge082 Simplifying a product of radical expressions: Multivariate, fractional expressions
alge276 Simplifying a product involving square roots using the distributive property: Advanced
alge774 Special products of radical expressions: Conjugates and squaring
alge776 Simplifying products or quotients of higher radicals with different indices: Multivariate
alge086 Rationalizing the denominator of a radical expression
alge088 Rationalizing the denominator of a radical expression using conjugates
alge775 Rationalizing a denominator: Quotient involving higher radicals and monomials
alge812 Converting between radical form and exponent form
alge250 Rational exponents: Non-unit fraction exponent with a whole number base
alge251 Rational exponents: Negative exponents and fractional bases
alge773 Rational exponents: Products and quotients with negative exponents
alge249 Rational exponents: Powers of powers with negative exponents
alge089 Solving a radical equation that simplifies to a linear equation: One radical, basic
alge090 Solving a radical equation that simplifies to a linear equation: Two radicals
alge091 Solving a radical equation that simplifies to a quadratic equation: One radical
alge182 Solving a radical equation that simplifies to a quadratic equation: Two radicals
alge777 Solving an equation with a root index greater than 2
alge093 Solving an equation using the odd-root property: Problem type 1
alge228 Solving an equation using the odd-root property: Problem type 2
alge230 Solving an equation with positive rational exponent
alge231 Solving an equation with negative rational exponent
fun019 Sum, difference, and product of two functions
alge786 Quotient of two functions: Basic
fun022 Composition of two functions: Basic
fun021 Composition of two functions: Domain and range
alge129 Composition of two functions: 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
Exponential and Logarithmic Functions
pcalc798 Evaluating an exponential function that models a real-world situation
alge108 Converting between logarithmic and exponential equations
pcalc799 Converting between natural logarithmic and exponential equations
alge232 Evaluating a logarithmic expression
pcalc708 Basic properties of logarithms
alge787 Writing an expression as a single logarithm
pcalc779 Expanding a logarithmic expression: Problem type 1
pcalc780 Expanding a logarithmic expression: Problem type 2
pcalc612 Change of base for logarithms: Problem type 1
pcalc613 Change of base for logarithms: Problem type 2
alge233 Solving an equation of the form logba = c
alge113 Solving an equation involving logarithms on both sides: Problem type 1
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
alge111 Solving an exponential equation by using logarithms: Exact answers in logarithmic form
alge112 Solving an exponential equation by finding common bases: Linear and quadratic exponents
alge789 Solving exponential equations by using logarithms and natural logarithms: Decimal answers
pcalc806 Using a graphing calculator to solve an exponential or logarithmic equation
alge177 Finding a final amount in a word problem on exponential growth or decay
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
alge741 Finding the final amount in a word problem on compound interest
alge712 Graphing an exponential function and its asymptote: f(x) = a(b)x
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
alge788 Graphing a logarithmic function: Basic
pcalc800 The graph, domain, and range of a logarithmic function
pcalc104 Graphing a logarithmic function: Advanced
pcalc102 Translating the graph of a logarithmic or exponential function
Rational Expressions and Functions
alge049 Restriction on a variable in a denominator: Linear
alge715 Domain of a rational function: Excluded values
alge710 Simplifying a ratio of polynomials: Problem type 1
alge682 Simplifying a ratio of polynomials: Problem type 2
alge034 Simplifying a ratio of multivariate polynomials
alge053 Multiplying rational expressions involving multivariate monomials
alge620 Multiplying rational expressions involving quadratics with leading coefficients of 1
alge054 Dividing rational expressions involving multivariate monomials
alge766 Dividing rational expressions involving quadratics with leading coefficients of 1
alge737 Introduction to the LCM of two monomials
alge055 Least common multiple of two monomials
alge056 Adding rational expressions with common denominators and binomial numerators
alge057 Adding rational expressions with different denominators: ax, bx
alge226 Adding rational expressions with multivariate monomial denominators: Advanced
alge622 Adding rational expressions with different denominators: x+a, x+b
alge661 Adding rational expressions involving different quadratic denominators
arith695 Complex fraction without variables: Problem type 1
arith696 Complex fraction without variables: Problem type 2
alge058 Complex fraction involving multivariate monomials
alge162 Complex fraction that contains a complex fraction
alge767 Complex fraction: GCF and quadratic factoring
alge768 Complex fraction made of sums involving rational expressions
alge271 Solving a proportion of the form a/(x+b) = c/x
alge060 Solving a rational equation that simplifies to linear: Denominator x
alge205 Solving a rational equation that simplifies to linear: Denominator x+a
alge206 Solving a rational equation that simplifies to linear: Unlike binomial denominators
alge769 Solving a rational equation that simplifies to linear: Denominators a, x, or ax
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
alge047 Solving a rational equation that simplifies to quadratic: Proportional form, advanced
alge783 Solving a rational inequality: Problem type 1
pcalc677 Solving a rational inequality: Problem type 2
pcalc789 Finding the asymptotes of a rational function: Basic
pcalc790 Finding horizontal and vertical asymptotes of a rational function: Quadratic numerator or denominator
pcalc108 Graphing a rational function: Constant or 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
arith610 Word problem on proportions: Problem type 1
arith611 Word problem on proportions: Problem type 2
arith612 Word problem involving multiple rates
alge770 Solving a work problem using a rational equation
alge220 Word problem on inverse proportions
pcalc681 Writing an equation that models variation
alge175 Word problem on direct variation
alge176 Word problem on inverse variation
alge772 Word problem on combined variation
Conic Sections
alge191 Midpoint of a line segment in the plane
alge132 Distance between two points in the plane: Exact answers
pcalc067 Graphing a parabola of the form ay2 + by + cx + d = 0 or ax2 + bx + cy + d = 0
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
pcalc605 Graphing a circle given its equation in standard form
pcalc064 Graphing a circle given its equation in general form
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
pcalc070 Graphing an ellipse centered at the origin: Ax2 + By2 = C
pcalc734 Graphing an ellipse given its equation in standard form
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
pcalc075 Graphing a hyperbola centered at the origin: Ax2 - By2 - C = 0
pcalc735 Graphing a hyperbola given its equation in standard form
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
pcalc098 Solving a system of nonlinear equations: Problem type 1
pcalc796 Using a graphing calculator to solve a system of equations
pcalc096 Graphing a system of nonlinear inequalities: Problem type 1
pcalc097 Graphing a system of nonlinear inequalities: Problem type 2
Sequences and Probability
pcalc080 Finding the first terms of a sequence using an explicit rule with multiple occurrences of n
pcalc713 Arithmetic and geometric sequences: Identifying and writing an explicit rule
pcalc715 Finding a specified term of an arithmetic sequence given two terms of the sequence
pcalc717 Finding a specified term of a geometric sequence given two terms of the sequence
pcalc718 Sum of the first n terms of an arithmetic sequence
pcalc719 Sum of the first n terms of a geometric sequence
pcalc720 Sum of an infinite geometric series
mstat015 Counting principle
pcalc082 Factorial expressions
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
mstat010 Probability of an event
stat106 Outcomes and event probability
stat112 Probabilities involving two dice
mstat046 Experimental and theoretical probability
mstat011 Area as probability
stat850 Probability of independent events
stat851 Probability of dependent events
stat117 Probabilities of draws with replacement
stat118 Probabilities of draws without replacement
stat114 Probability of intersection or union: Word problems
stat115 Independent events: Basic
stat120 Probability of union: Basic
stat116 Conditional probability: Basic
stat174 Binomial problems: Basic
stat155 Binomial problems: Advanced
mstat003 Mode of a data set
mstat055 Finding the mode and range of a data set
mstat028 Mean and median of a data set
mstat066 Weighted mean
mstat006 Constructing a box-and-whisker plot
stat009 Percentiles
stat021 Population standard deviation
stat852 Word problem involving calculations from a normal distribution
Trigonometry
geom506 Special right triangles: Exact answers
pcalc600 Sine, cosine, and tangent ratios: Variables for side lengths
pcalc008 Finding trigonometric ratios given a right triangle
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
pcalc626 Reference angles: Problem type 1
pcalc632 Reference angles: Problem type 2
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
pcalc671 Determining the location of a terminal point given the signs of trigonometric values
pcalc629 Trigonometric functions and special angles: Problem type 1
pcalc630 Trigonometric functions and special angles: Problem type 2
pcalc631 Trigonometric functions and special angles: Problem type 3
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
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
pcalc033 Solving a triangle with the law of cosines
pcalc645 Solving a word problem using the law of cosines
pcalc646 Finding the area of a triangle using trigonometry
pcalc647 Heron's formula
pcalc633 Amplitude and period of sine and cosine functions
pcalc634 Amplitude, period, and phase shift of sine and cosine functions
pcalc640 Word problem involving a sine or cosine function: Problem type 1
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
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)
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
pcalc016 Values of inverse trigonometric functions
pcalc648 Simplifying trigonometric expressions
pcalc666 Using cofunction identities
pcalc029 Sum and difference identities: Problem type 1
pcalc663 Sum and difference identities: Problem type 2
pcalc664 Sum and difference identities: Problem type 3
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
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
pcalc403 Proving trigonometric identities using sum and difference properties
pcalc402 Proving trigonometric identities using double-angle properties
pcalc650 Finding solutions in an interval for a basic equation involving sine or cosine
pcalc660 Solving a basic trigonometric equation using a calculator
pcalc651 Finding solutions in an interval for a basic tangent, cotangent, secant, or cosecant equation
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
pcalc020 Solving a basic trigonometric equation involving sine or cosine
pcalc021 Solving a basic trigonometric equation involving tangent, cotangent, secant, or cosecant
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
pcalc063 Translation of a vector
pcalc739 Multiplication of a vector by a scalar: Geometric approach
geom857 Vector addition: Geometric approach
vector007 Vector subtraction: Geometric approach
geom856 Vector addition and scalar multiplication: Component form
vector008 Linear combination of vectors: Component form
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