# Eighth grade math

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

## 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 and proportions

- H.1Understanding ratios
- H.2Equivalent ratios
- H.3Equivalent ratios: word problems
- H.4Compare ratios: word problems
- H.5Unit rates
- 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 and scale factors

## 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

## Measurement

## Problem solving

## Geometry

- N.1Identify complementary, supplementary, vertical, adjacent, and congruent angles
- N.2Find measures of complementary, supplementary, vertical, and adjacent angles
- N.3Transversal of parallel lines
- N.4Classify triangles
- N.5Classify quadrilaterals
- N.6Find missing angles in triangles and quadrilaterals
- N.7Exterior Angle Theorem
- N.8Identify and classify polygons
- N.9Interior angles of polygons
- N.10Similar and congruent figures
- N.11Similar figures: side lengths and angle measures
- N.12Congruent figures: side lengths and angle measures
- N.13Congruence statements and corresponding parts
- N.14Congruent triangles: SSS, SAS, and ASA
- N.15Perimeter
- N.16Area
- N.17Area and perimeter: word problems
- N.18Area between two shapes
- N.19Parts of a circle
- N.20Circles, semicircles, and quarter circles
- N.21Circles: word problems
- N.22Find lengths and measures of bisected lines and angles
- N.23Front, side, and top view
- N.24Base plans
- N.25Names and parts of 3-dimensional figures
- N.26Nets of 3-dimensional figures
- N.27Surface area of cubes, prisms, and pyramids
- N.28Surface area of cylinders and cones
- N.29Surface area of spheres
- N.30Volume of cubes, prisms, and pyramids
- N.31Volume of cylinders and cones
- N.32Volume of spheres
- N.33Similar solids
- N.34Volume and surface area of similar solids
- N.35Perimeter, area, and volume: changes in scale

## Pythagorean theorem

## Coordinate plane

## Transformations

- Q.1Identify reflections, rotations, and translations
- Q.2Translations: graph the image
- Q.3Translations: find the coordinates
- Q.4Reflections: graph the image
- Q.5Reflections: find the coordinates
- Q.6Rotations: graph the image
- Q.7Rotations: find the coordinates
- Q.8Dilations: graph the image
- Q.9Dilations: find the coordinates
- Q.10Dilations: scale factor and classification
- Q.11Symmetry

## Number sequences

## Variable expressions

- S.1Write variable expressions
- S.2Write variable expressions from diagrams
- S.3Write variable expressions: word problems
- S.4Evaluate one-variable expressions
- S.5Evaluate multi-variable expressions
- S.6Evaluate absolute value expressions
- S.7Evaluate radical expressions
- S.8Evaluate rational expressions
- S.9Identify terms and coefficients
- S.10Add and subtract like terms
- S.11Add, subtract, and multiply linear expressions
- S.12Factor linear expressions
- S.13Identify equivalent linear expressions

## Properties

## One-variable equations

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

## One-variable inequalities

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

## Linear equations

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

## Functions

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

## Systems of linear equations

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

## Monomials and polynomials

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

## Data and graphs

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

## Statistics

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

## Probability

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