# Eighth grade

Here is a list of all of the 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.8Simplify expressions involving integers and absolute values
- C.9Evaluate variable expressions with integers and absolute values

## 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.4Multiply and divide rational numbers
- E.5Multiply and divide rational numbers: word problems
- E.6Simplify expressions involving rational numbers
- E.7Evaluate variable expressions involving rational numbers

## Exponents and roots

- F.1Understanding exponents
- F.2Evaluate exponents
- F.3Exponents: solve for the variable
- 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.12Simplify expressions involving exponents
- F.13Square roots of perfect squares
- F.14Positive and negative square roots
- F.15Estimate positive and negative square roots
- F.16Relationship between squares and square roots
- F.17Evaluate variable expressions involving squares and square roots
- F.18Cube roots of perfect cubes
- F.19Estimate 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.11Rate of change
- H.12Constant rate of change
- H.13Scale drawings and scale factors

## 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

## Data and graphs

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

## Pythagorean theorem

## Coordinate graphs

## Geometry

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

## Transformations

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

## Variable expressions

## Single-variable equations

- U.1Does x satisfy the equation?
- U.2Model and solve equations using algebra tiles
- U.3Write and solve equations that represent diagrams
- U.4Solve one-step linear equations
- U.5Solve two-step linear equations
- U.6Solve equations involving squares and square roots
- U.7Solve multi-step equations
- U.8Solve equations involving like terms
- U.9Identities and equations with no solutions

## Linear functions

- V.1Does (x, y) satisfy the linear equation?
- V.2Evaluate a linear function
- V.3Complete a function table
- V.4Write a rule for a function table
- V.5Find points on a function graph
- V.6Graph a line from a function table
- V.7Graph a line from an equation
- V.8Linear function word problems
- V.9Find the slope of a graph
- V.10Find slope from two points
- V.11Find a missing coordinate using slope
- V.12Find slope from an equation
- V.13Graph a line using slope
- V.14Slopes of parallel and perpendicular lines

## Nonlinear functions

## Inequalities

- X.1Inequalities on number lines
- X.2Solutions to variable inequalities
- X.3Graph inequalities on number lines
- X.4Solve one-step linear inequalities
- X.5Graph solutions to one-step linear inequalities
- X.6Solve two-step linear inequalities
- X.7Graph solutions to two-step linear inequalities
- X.8Solve advanced linear inequalities
- X.9Graph solutions to advanced linear inequalities

## 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

## Properties

## Probability

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