# Algebra 1

Here is a list of all of the skills students learn in Algebra 1! 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!

## Numbers

## Operations

- B.1Add, subtract, multiply, and divide integers
- B.2Order of operations with integers
- B.3Evaluate variable expressions involving integers
- B.4Add and subtract rational numbers
- B.5Multiply and divide rational numbers
- B.6Order of operations with rational numbers
- B.7Evaluate variable expressions involving rational numbers

## Ratios and proportions

## Percents

## Measurement

## Geometry

- F.1Perimeter
- F.2Area
- F.3Area and perimeter: word problems
- F.4Volume
- F.5Surface area
- F.6Similar figures: side lengths and angle measures
- F.7Similar triangles and indirect measurement
- F.8Dilations and scale factors
- F.9Area and perimeter of similar figures
- F.10Area between two shapes
- F.11Similar solids
- F.12Volume and surface area of similar solids
- F.13Perimeter, area, and volume: changes in scale
- F.14Pythagorean theorem
- F.15Pythagorean theorem: word problems
- F.16Converse of the Pythagorean theorem: is it a right triangle?
- F.17Special right triangles

## Properties

## Variable expressions and equations

## Solve equations

- J.1Model and solve equations using algebra tiles
- J.2Write and solve equations that represent diagrams
- J.3Solve one-step linear equations
- J.4Solve two-step linear equations
- J.5Solve advanced linear equations
- J.6Solve equations with variables on both sides
- J.7Identities and equations with no solutions
- J.8Solve linear equations: word problems
- J.9Solve linear equations: mixed review

## Single-variable inequalities

- K.1Graph inequalities
- K.2Write inequalities from graphs
- K.3Identify solutions to inequalities
- K.4Solve one-step linear inequalities: addition and subtraction
- K.5Solve one-step linear inequalities: multiplication and division
- K.6Solve one-step linear inequalities
- K.7Graph solutions to one-step linear inequalities
- K.8Solve two-step linear inequalities
- K.9Graph solutions to two-step linear inequalities
- K.10Solve advanced linear inequalities
- K.11Graph solutions to advanced linear inequalities
- K.12Graph compound inequalities
- K.13Write compound inequalities from graphs
- K.14Solve compound inequalities
- K.15Graph solutions to compound inequalities

## Absolute value equations and inequalities

## Data and graphs

## Problem solving

## Number sequences

## Relations and functions

- Q.1Relations: convert between tables, graphs, mappings, and lists of points
- Q.2Domain and range of relations
- Q.3Identify independent and dependent variables
- Q.4Identify functions
- Q.5Identify functions: vertical line test
- Q.6Complete a function table from an equation
- Q.7Evaluate function rules I
- Q.8Evaluate function rules II
- Q.9Graph a function
- Q.10Write a function rule: word problems
- Q.11Find points on a function graph
- Q.12Write a rule for a function table
- Q.13Find values using function graphs
- Q.14Complete a function table from a graph

## Direct and inverse variation

- R.1Identify proportional relationships
- R.2Find the constant of variation
- R.3Graph a proportional relationship
- R.4Write direct variation equations
- R.5Write and solve direct variation equations
- R.6Identify direct variation and inverse variation
- R.7Write inverse variation equations
- R.8Write and solve inverse variation equations

## Linear functions

- S.1Identify linear functions
- S.2Find the slope of a graph
- S.3Find the slope from two points
- S.4Find a missing coordinate using slope
- S.5Slope-intercept form: find the slope and y-intercept
- S.6Slope-intercept form: graph an equation
- S.7Slope-intercept form: write an equation from a graph
- S.8Slope-intercept form: write an equation
- S.9Linear equations: solve for y
- S.10Compare linear functions: graphs, tables, and equations
- S.11Linear function word problems
- S.12Write equations in standard form
- S.13Standard form: find x- and y-intercepts
- S.14Standard form: graph an equation
- S.15Equations of horizontal and vertical lines
- S.16Graph a horizontal or vertical line
- S.17Point-slope form: graph an equation
- S.18Point-slope form: write an equation from a graph
- S.19Point-slope form: write an equation
- S.20Slopes of parallel and perpendicular lines
- S.21Write an equation for a parallel or perpendicular line

## Linear inequalities

## Systems of linear equations

- U.1Is (x, y) a solution to the system of equations?
- U.2Solve a system of equations by graphing
- U.3Solve a system of equations by graphing: word problems
- U.4Find the number of solutions to a system of equations by graphing
- U.5Find the number of solutions to a system of equations
- U.6Classify a system of equations by graphing
- U.7Classify a system of equations
- U.8Solve a system of equations using substitution
- U.9Solve a system of equations using substitution: word problems
- U.10Solve a system of equations using elimination
- U.11Solve a system of equations using elimination: word problems
- U.12Solve a system of equations using augmented matrices
- U.13Solve a system of equations using augmented matrices: word problems
- U.14Solve a system of equations using any method
- U.15Solve a system of equations using any method: word problems

## Exponents

- V.1Exponents with integer bases
- V.2Exponents with decimal and fractional bases
- V.3Negative exponents
- V.4Multiplication with exponents
- V.5Division with exponents
- V.6Multiplication and division with exponents
- V.7Power rule
- V.8Simplify expressions involving exponents
- V.9Identify equivalent expressions involving exponents
- V.10Evaluate integers raised to rational exponents

## Exponential functions

## Monomials

## Polynomials

- Z.1Polynomial vocabulary
- 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 a polynomial by a monomial
- Z.7Multiply two polynomials using algebra tiles
- Z.8Multiply two binomials
- Z.9Multiply two binomials: special cases
- Z.10Multiply polynomials

## Factoring

## Quadratic equations

- BB.1Characteristics of quadratic functions
- BB.2Complete a function table: quadratic functions
- BB.3Transformations of quadratic functions
- BB.4Solve a quadratic equation using square roots
- BB.5Solve an equation using the zero product property
- BB.6Solve a quadratic equation by factoring
- BB.7Complete the square
- BB.8Solve a quadratic equation by completing the square
- BB.9Solve a quadratic equation using the quadratic formula
- BB.10Using the discriminant
- BB.11Systems of linear and quadratic equations

## Functions: linear, quadratic, exponential

- CC.1Identify linear, quadratic, and exponential functions from graphs
- CC.2Identify linear, quadratic, and exponential functions from tables
- CC.3Write linear, quadratic, and exponential functions
- CC.4Linear functions over unit intervals
- CC.5Exponential functions over unit intervals
- CC.6Describe linear and exponential growth and decay

## Absolute value functions

## Radical expressions

- EE.1Simplify radical expressions
- EE.2Simplify radical expressions involving fractions
- EE.3Multiply radical expressions
- EE.4Add and subtract radical expressions
- EE.5Simplify radical expressions using the distributive property
- EE.6Divide radical expressions
- EE.7Simplify radical expressions: mixed review