# Eighth grade math

See recommended skills!Here is a list of all of the math skills students learn in eighth grade! These skills are organized into categories, and you can move your mouse over any skill name to view a sample question. To start practicing, just click on any link. IXL will track your score, and the questions will automatically increase in difficulty as you improve!

## Number theory

## Integers

## Operations with integers

- C.1Integer addition and subtraction rules
- C.2Add and subtract integers using counters
- C.3Add and subtract integers
- C.4Add and subtract three or more integers
- C.5Add and subtract integers: word problems
- C.6Integer multiplication and division rules
- C.7Multiply and divide integers
- C.8Evaluate expressions involving integers

## Rational numbers

- D.1Write fractions in lowest terms
- D.2Least common denominator
- D.3Round decimals and mixed numbers
- D.4Convert between decimals and fractions or mixed numbers
- D.5Identify rational and irrational numbers
- D.6Absolute value of rational numbers
- D.7Compare rational numbers
- D.8Put rational numbers in order

## Operations with rational numbers

- E.1Reciprocals and multiplicative inverses
- E.2Add and subtract rational numbers
- E.3Add and subtract rational numbers: word problems
- E.4Apply addition and subtraction rules
- E.5Multiply and divide rational numbers
- E.6Multiply and divide rational numbers: word problems
- E.7Apply multiplication and division rules
- E.8Apply addition, subtraction, multiplication, and division rules
- E.9Evaluate expressions involving rational numbers

## Exponents and roots

- F.1Understanding exponents
- F.2Evaluate exponents
- F.3Solve equations with variable exponents
- F.4Exponents with negative bases
- F.5Exponents with decimal and fractional bases
- F.6Understanding negative exponents
- F.7Evaluate negative exponents
- F.8Multiplication with exponents
- F.9Division with exponents
- F.10Multiplication and division with exponents
- F.11Power rule
- F.12Evaluate expressions involving exponents
- F.13Identify equivalent expressions involving exponents
- F.14Square roots of perfect squares
- F.15Positive and negative square roots
- F.16Estimate positive and negative square roots
- F.17Relationship between squares and square roots
- F.18Solve equations involving squares and square roots
- F.19Cube roots of perfect cubes
- F.20Solve equations involving cubes and cube roots
- F.21Estimate cube roots

## Scientific notation

## Ratios, rates, and proportions

- H.1Understanding ratios
- H.2Equivalent ratios
- H.3Equivalent ratios: word problems
- H.4Unit rates
- H.5Compare ratios: word problems
- H.6Do the ratios form a proportion?
- H.7Do the ratios form a proportion: word problems
- H.8Solve proportions
- H.9Solve proportions: word problems
- H.10Estimate population size using proportions
- H.11Scale drawings: word problems

## Proportional relationships

- I.1Find the constant of proportionality from a table
- I.2Identify graphs of proportional relationships
- I.3Find the constant of proportionality from a graph
- I.4Write equations for proportional relationships
- I.5Graph proportional relationships
- I.6Identify proportional relationships
- I.7Find the constant of proportionality: word problems
- I.8Solve problems involving proportional relationships

## Percents

- J.1Convert between percents, fractions, and decimals
- J.2Compare percents to fractions and decimals
- J.3Find what percent one number is of another
- J.4Find what percent one number is of another: word problems
- J.5Estimate percents of numbers
- J.6Percents of numbers and money amounts
- J.7Percents of numbers: word problems
- J.8Compare percents of numbers
- J.9Solve percent equations
- J.10Percent of change
- J.11Percent of change: word problems

## Consumer math

- K.1Price lists
- K.2Unit prices
- K.3Unit prices with unit conversions
- K.4Unit prices: find the total price
- K.5Percent of a number: tax, discount, and more
- K.6Find the percent: tax, discount, and more
- K.7Sale prices: find the original price
- K.8Multi-step problems with percents
- K.9Estimate tips
- K.10Simple interest
- K.11Compound interest

## Units of measurement

## Problem solving

## Coordinate plane

## Two-dimensional figures

- O.1Identify and classify polygons
- O.2Classify triangles
- O.3Classify quadrilaterals
- O.4Find missing angles in triangles and quadrilaterals
- O.5Exterior Angle Theorem
- O.6Interior angles of polygons
- O.7Identify complementary, supplementary, vertical, adjacent, and congruent angles
- O.8Find measures of complementary, supplementary, vertical, and adjacent angles
- O.9Transversal of parallel lines
- O.10Find lengths and measures of bisected lines and angles
- O.11Parts of a circle

## Transformations and congruence

- P.1Symmetry
- P.2Identify reflections, rotations, and translations
- P.3Translations: graph the image
- P.4Translations: find the coordinates
- P.5Reflections: graph the image
- P.6Reflections: find the coordinates
- P.7Rotations: graph the image
- P.8Rotations: find the coordinates
- P.9Congruence statements and corresponding parts
- P.10Side lengths and angle measures of congruent figures
- P.11Congruent triangles: SSS, SAS, and ASA

## Transformations and similarity

## Pythagorean theorem

## Three-dimensional figures

## Geometric measurement

- T.1Perimeter
- T.2Area
- T.3Area and perimeter: word problems
- T.4Area between two shapes
- T.5Circles, semicircles, and quarter circles
- T.6Circles: word problems
- T.7Volume of cubes, prisms, and pyramids
- T.8Surface area of cubes, prisms, and pyramids
- T.9Volume of cylinders and cones
- T.10Surface area of cylinders and cones
- T.11Volume of spheres
- T.12Surface area of spheres
- T.13Volume and surface area of similar solids
- T.14Perimeter, area, and volume: changes in scale

## Number sequences

## Expressions and properties

- V.1Write variable expressions
- V.2Write variable expressions from diagrams
- V.3Write variable expressions: word problems
- V.4Evaluate one-variable expressions
- V.5Evaluate multi-variable expressions
- V.6Evaluate absolute value expressions
- V.7Evaluate radical expressions
- V.8Evaluate rational expressions
- V.9Identify terms and coefficients
- V.10Properties of addition and multiplication
- V.11Distributive property
- V.12Write equivalent expressions using properties
- V.13Add and subtract like terms
- V.14Add, subtract, and multiply linear expressions
- V.15Factors of linear expressions
- V.16Identify equivalent linear expressions

## One-variable equations

- W.1Which x satisfies an equation?
- W.2Write an equation from words
- W.3Model and solve equations using algebra tiles
- W.4Write and solve equations that represent diagrams
- W.5Properties of equality
- W.6Solve one-step equations
- W.7Solve two-step equations
- W.8Solve multi-step equations
- W.9Solve equations involving like terms
- W.10Solve equations with variables on both sides
- W.11Solve equations: mixed review
- W.12Solve equations: word problems
- W.13Find the number of solutions
- W.14Create equations with no solutions or infinitely many solutions

## One-variable inequalities

- X.1Solutions to inequalities
- X.2Graph inequalities on number lines
- X.3Write inequalities from number lines
- X.4Solve one-step inequalities
- X.5Graph solutions to one-step inequalities
- X.6Solve two-step inequalities
- X.7Graph solutions to two-step inequalities
- X.8Solve multi-step inequalities
- X.9Graph solutions to multi-step inequalities

## Linear equations

- Y.1Find the slope of a graph
- Y.2Find the slope from two points
- Y.3Find a missing coordinate using slope
- Y.4Find the slope of an equation
- Y.5Graph a line using slope
- Y.6Graph a line from an equation
- Y.7Write a linear equation from a slope and y-intercept
- Y.8Write a linear equation from a graph
- Y.9Write a linear equation from a slope and a point
- Y.10Write a linear equation from two points
- Y.11Slopes of parallel and perpendicular lines

## Functions

- Z.1Identify functions
- Z.2Does (x, y) satisfy the linear function?
- Z.3Identify independent and dependent variables
- Z.4Rate of change
- Z.5Constant rate of change
- Z.6Evaluate a linear function
- Z.7Complete a table for a linear function
- Z.8Complete a table and graph a linear function
- Z.9Interpret the graph of a linear function: word problems
- Z.10Write a linear function from a table
- Z.11Compare linear functions: graphs, tables, and equations
- Z.12Write linear functions: word problems
- Z.13Interpret linear functions
- Z.14Identify linear and nonlinear functions
- Z.15Does (x, y) satisfy the nonlinear function?
- Z.16Evaluate a nonlinear function
- Z.17Find values using function graphs
- Z.18Complete a table for a function graph

## Systems of linear equations

- AA.1Is (x, y) a solution to the system of equations?
- AA.2Solve a system of equations by graphing
- AA.3Solve a system of equations by graphing: word problems
- AA.4Find the number of solutions to a system of equations by graphing
- AA.5Find the number of solutions to a system of equations
- AA.6Classify a system of equations by graphing
- AA.7Classify a system of equations
- AA.8Solve a system of equations using substitution
- AA.9Solve a system of equations using substitution: word problems
- AA.10Solve a system of equations using elimination
- AA.11Solve a system of equations using elimination: word problems

## Monomials and polynomials

- BB.1Identify monomials
- BB.2Model polynomials with algebra tiles
- BB.3Add and subtract polynomials using algebra tiles
- BB.4Add and subtract polynomials
- BB.5Add polynomials to find perimeter
- BB.6Multiply monomials
- BB.7Divide monomials
- BB.8Multiply and divide monomials
- BB.9Powers of monomials
- BB.10Square and cube roots of monomials
- BB.11Multiply polynomials using algebra tiles
- BB.12Multiply polynomials
- BB.13Multiply polynomials to find area

## Data and graphs

- CC.1Interpret tables
- CC.2Interpret bar graphs
- CC.3Create bar graphs
- CC.4Interpret line graphs
- CC.5Create line graphs
- CC.6Interpret line plots
- CC.7Create line plots
- CC.8Create and interpret line plots with fractions
- CC.9Interpret stem-and-leaf plots
- CC.10Interpret histograms
- CC.11Create histograms
- CC.12Create frequency charts
- CC.13Interpret box-and-whisker plots
- CC.14Scatter plots
- CC.15Interpret circle graphs
- CC.16Circle graphs and central angles
- CC.17Choose the best type of graph

## Statistics

- DD.1Calculate mean, median, mode, and range
- DD.2Interpret charts to find mean, median, mode, and range
- DD.3Mean, median, mode, and range: find the missing number
- DD.4Changes in mean, median, mode, and range
- DD.5Quartiles
- DD.6Identify an outlier
- DD.7Identify an outlier and describe the effect of removing it
- DD.8Outliers in scatter plots
- DD.9Identify representative, random, and biased samples

## Probability

- EE.1Probability of simple events
- EE.2Probability of opposite, mutually exclusive, and overlapping events
- EE.3Experimental probability
- EE.4Make predictions
- EE.5Compound events: find the number of outcomes
- EE.6Identify independent and dependent events
- EE.7Probability of independent and dependent events
- EE.8Factorials
- EE.9Permutations
- EE.10Counting principle
- EE.11Combination and permutation notation