ALEKS - Assessment and Learning
   

B.41 Math Toolbox

 

Integers
arith078 Rounding to tens or hundreds
arith061 Rounding to thousands, ten thousands, or hundred thousands
arith101 Estimating a sum of whole numbers
arith102 Estimating a difference of whole numbers
arith604 Estimating a product or quotient of whole numbers
arith645 Introduction to parentheses
arith048 Order of operations with whole numbers
arith051 Order of operations with whole numbers and grouping symbols
alge285 Evaluating an algebraic expression: Whole numbers with two operations
arith657 Understanding the distributive property
alge286 Plotting integers on a number line
arith200 Integer addition: Problem type 1
arith108 Integer addition: Problem type 2
arith107 Integer subtraction
arith231 Integer multiplication and division
arith056 Factors
arith033 Greatest common factor of 2 numbers
arith070 Least common multiple of 2 numbers
Rational Numbers
arith623 Introduction to fractions
arith665 Understanding equivalent fractions
arith212 Equivalent fractions
arith067 Simplifying a fraction
arith618 Addition or subtraction of fractions with the same denominator
arith230 Addition or subtraction of fractions with different denominators
arith106 Signed fraction addition or subtraction: Advanced
arith088 The reciprocal of a number
arith079 Product of a unit fraction and a whole number
arith009 Unit fraction multiplication
arith086 Product of a fraction and a whole number: Problem type 1
arith053 Fraction multiplication
arith095 Multi-step word problem involving fractions and multiplication
arith022 Fraction division
arith105 Signed fraction multiplication: Advanced
arith662 Writing a mixed number and an improper fraction for a shaded region
arith015 Writing an improper fraction as a mixed number
arith619 Writing a mixed number as an improper fraction
arith667 Plotting fractions on a number line
arith605 Plotting rational numbers on a number line
arith220 Decimal place value: Hundreds to ten thousandths
arith221 Rounding decimals
arith671 Converting a fraction with a denominator of 10, 100, or 1000 to a decimal
arith087 Converting a decimal to a proper fraction in simplest form: Advanced
arith222 Converting a fraction to a terminating decimal
arith089 Converting a fraction to a repeating decimal
arith624 Addition of aligned decimals
arith625 Subtraction of aligned decimals
arith626 Word problem with one decimal operation: Problem type 1
arith627 Word problem with one decimal operation: Problem type 2
arith234 Signed decimal addition and subtraction with 3 numbers
arith082 Multiplication of a decimal by a power of ten
arith017 Multiplication of a decimal by a whole number
arith055 Decimal multiplication: Problem type 1
arith045 Word problem with powers of ten
arith224 Word problem with decimal addition and multiplication
arith083 Division of a decimal by a power of ten
arith081 Division of a decimal by a whole number
arith019 Division of a decimal by a 2-digit decimal
arith227 Word problem with decimal subtraction and division
Percentages and Proportions
arith674 Finding the percentage of a grid that is shaded
arith226 Converting between percentages and decimals
arith090 Converting a percentage to a fraction in simplest form
arith002 Converting a fraction to a percentage: Denominator of 20, 25, or 50
arith030 Finding a percentage of a whole number without a calculator: Basic
arith069 Writing a ratio as a percentage without a calculator
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
arith663 Writing ratios for real-world situations
arith228 Word problem on unit rates associated with ratios of whole numbers: Decimal answers
alge218 Solving a word problem involving rates and time conversion
alge272 Solving a proportion of the form x/a = b/c
alge271 Solving a proportion of the form a/(x+b) = c/x
arith064 Solving a word problem on proportions using a unit rate
arith610 Word problem on proportions: Problem type 1
arith611 Word problem on proportions: Problem type 2
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
unit010 Metric area unit conversion with decimal values
Basic Algebraic Operations
alge005 Evaluating a linear expression: Integer multiplication with addition or subtraction
alge004 Evaluating a quadratic expression: Integers
alge606 Distributive property: Whole number coefficients
alge604 Distributive property: Integer coefficients
alge607 Combining like terms: Integer coefficients
alge663 Combining like terms: Advanced
alge602 Writing a one-step variable expression for a real-world situation
arith233 Introduction to exponents
arith683 Power of 10: Positive exponent
arith684 Power of 10: Negative exponent
arith047 Evaluating expressions with exponents: Problem type 1
arith049 Evaluating expressions with exponents: Problem type 2
arith600 Order of operations with integers and exponents
alge024 Introduction to the product rule of exponents
alge026 Quotient of expressions involving exponents
arith042 Evaluating an expression with a negative exponent: Positive fraction base
arith043 Evaluating an expression with a negative exponent: Negative integer base
alge027 Power rules with positive exponents
alge025 Power of a power rule with negative exponents
arith029 Ordering numbers with positive exponents
arith036 Scientific notation with positive exponent
arith037 Scientific notation with negative exponent
alge029 Simplifying a sum or difference of three univariate polynomials
alge037 Greatest common factor of two multivariate monomials
alge030 Product rule with positive exponents: Multivariate
alge033 Multiplying binomials with leading coefficients of 1
alge032 Squaring a binomial: Univariate
alge180 Multiplication involving binomials and trinomials in two variables
alge053 Multiplying rational expressions involving multivariate monomials
alge054 Dividing rational expressions involving multivariate monomials
alge058 Complex fraction involving multivariate monomials
arith016 Square root of a perfect square
arith601 Square root of a rational perfect square
arith602 Estimating a square root
arith093 Simplifying the square root of a whole number less than 100
arith094 Cube root of an integer
alge812 Converting between radical form and exponent form
alge250 Rational exponents: Non-unit fraction exponent with a whole number base
alge108 Converting between logarithmic and exponential equations
alge232 Evaluating a logarithmic expression
pcalc708 Basic properties of logarithms
Linear Equations
alge009 Additive property of equality with whole numbers
alge800 Additive property of equality with decimals
alge801 Additive property of equality with fractions and mixed 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
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
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
alge016 Translating a sentence into a one-step equation
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
alge076 Solving a system of linear equations using elimination with multiplication and addition
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
Functions and Graphs
fun001 Table for a linear function
fun002 Graphing integer functions
fun016 Domain and range from ordered pairs
fun010 Vertical line test
alge064 Reading a point in the coordinate plane
alge067 Plotting a point in the coordinate plane
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
alge701 Writing an equation and drawing its graph to model a real-world situation: Advanced
alge725 Graphically solving a system of linear equations
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
alge069 Finding the y-intercept of a line given its equation
alge210 Finding x- and y-intercepts of a line given the equation: Advanced
alge631 Finding the slope of a line given its equation
alge637 Determining the slope of a line given its graph
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
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
alge263 Interpreting the graphs of two functions
alge277 Finding the x-intercept(s) and the vertex of a parabola
alge252 Graphing a parabola of the form y = ax2
alge253 Graphing a parabola of the form y = (x-h)2 + k
alge254 Graphing a parabola of the form y = ax2 + bx + c
alge262 Graphing a cubic function of the form y = ax3
Financial Mathematics
bmath061 Financial ratio analysis
bmath021 Single trade discounts and net price
bmath025 Markup based on cost or selling price
bmath001 Markup based on cost: Finding the selling price
bmath027 Markup based on cost: Finding the cost
bmath107 Markup based on selling price: Finding the selling price
bmath108 Markup based on selling price: Finding the cost
bmath029 Markdown
bmath033 Gross pay with commission and salary
bmath037 Simple interest and maturity value
bmath039 Solving for principal, rate, or time in simple interest problems
bmath109 Computing compound interest with the simple interest formula
bmath042 Compound interest for daily compounding
bmath041 Compound interest for annual, semiannual, and quarterly compounding
bmath043 Present value tables
bmath044 Ordinary annuity
bmath046 Present value of an ordinary annuity
bmath047 Sinking funds
Basic Statistics
mstat007 Interpreting a line graph
stat904 Interpreting pie charts
stat901 Computations from pie charts
stat844 Double bar charts
stat702 Histograms for grouped data
stat703 Frequency polygons for grouped data
stat717 Interpreting relative frequency histograms
stat718 Cumulative distributions and ogives
stat164 Comparing means without calculation
stat165 Comparing standard deviations without calculation
stat706 Mean, median, and mode: Computations
stat902 Rejecting unreasonable claims based on average statistics
stat007 Weighted mean: Tabular data
stat719 Estimating the mean of grouped data
stat009 Percentiles
stat021 Population standard deviation
stat011 Sample standard deviation
stat729 Estimating the standard deviation of grouped data
stat798 Mean, median, and mode: Comparisons
stat905 Making reasonable inferences based on proportion statistics
stat119 Venn diagrams: Two events
stat101 Venn diagrams: Word problems
stat106 Outcomes and event probability
stat226 Die rolling
stat114 Probability of intersection or union: Word problems
stat115 Independent events: Basic
stat120 Probability of union: Basic
stat104 Mutually exclusive events: Two events
stat850 Probability of independent events
stat020 Calculating relative frequencies in a contingency table
stat116 Conditional probability: Basic
stat851 Probability of dependent events
stat109 Intersection and conditional probability
stat756 Tree diagrams for conditional probabilities