# 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 preview the skill. 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.1 Add, subtract, multiply, and divide integers
- B.2 Evaluate numerical expressions involving integers
- B.3 Evaluate variable expressions involving integers
- B.4 Add and subtract rational numbers
- B.5 Multiply and divide rational numbers
- B.6 Evaluate numerical expressions involving rational numbers
- B.7 Evaluate variable expressions involving rational numbers

## Ratios, rates, and proportions

## Percents

## Measurement

## Geometry

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

## Coordinate plane

## Properties

## Variable expressions and equations

- I.1 Write variable expressions
- I.2 Simplify variable expressions involving like terms and the distributive property
- I.3 Identify equivalent linear expressions
- I.4 Write variable equations
- I.5 Does x satisfy the equation?
- I.6 Which x satisfies an equation?
- I.7 Solve equations using order of operations
- I.8 Rearrange multi-variable equations

## Solve equations

- J.1 Model and solve equations using algebra tiles
- J.2 Write and solve equations that represent diagrams
- J.3 Solve one-step linear equations
- J.4 Solve two-step linear equations
- J.5 Solve advanced linear equations
- J.6 Solve equations with variables on both sides
- J.7 Solve equations: complete the solution
- J.8 Find the number of solutions
- J.9 Create equations with no solutions or infinitely many solutions
- J.10 Solve linear equations: word problems
- J.11 Solve linear equations: mixed review

## Single-variable inequalities

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

## Absolute value equations and inequalities

## Data and graphs

## Problem solving

## Number sequences

## Relations and functions

- Q.1 Relations: convert between tables, graphs, mappings, and lists of points
- Q.2 Domain and range of relations
- Q.3 Identify independent and dependent variables
- Q.4 Identify functions
- Q.5 Identify functions: vertical line test
- Q.6 Find values using function graphs
- Q.7 Evaluate a function
- Q.8 Evaluate a function: plug in an expression
- Q.9 Complete a function table from a graph
- Q.10 Complete a function table from an equation
- Q.11 Interpret the graph of a function: word problems

## Direct and inverse variation

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

## Linear functions

- S.1 Identify linear functions
- S.2 Find the slope of a graph
- S.3 Find the slope from two points
- S.4 Find a missing coordinate using slope
- S.5 Slope-intercept form: find the slope and y-intercept
- S.6 Slope-intercept form: graph an equation
- S.7 Slope-intercept form: write an equation from a graph
- S.8 Slope-intercept form: write an equation
- S.9 Slope-intercept form: write an equation from a table
- S.10 Slope-intercept form: write an equation from a word problem
- S.11 Linear equations: solve for y
- S.12 Write linear functions to solve word problems
- S.13 Complete a table and graph a linear function
- S.14 Compare linear functions: graphs, tables, and equations
- S.15 Write equations in standard form
- S.16 Standard form: find x- and y-intercepts
- S.17 Standard form: graph an equation
- S.18 Equations of horizontal and vertical lines
- S.19 Graph a horizontal or vertical line
- S.20 Point-slope form: graph an equation
- S.21 Point-slope form: write an equation
- S.22 Point-slope form: write an equation from a graph
- S.23 Slopes of parallel and perpendicular lines
- S.24 Write an equation for a parallel or perpendicular line
- S.25 Transformations of linear functions

## Linear inequalities

## Systems of linear equations

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

## Exponents

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

## Scientific notation

## Monomials

## Polynomials

- Z.1 Polynomial vocabulary
- Z.2 Model polynomials with algebra tiles
- Z.3 Add and subtract polynomials using algebra tiles
- Z.4 Add and subtract polynomials
- Z.5 Add polynomials to find perimeter
- Z.6 Multiply a polynomial by a monomial
- Z.7 Multiply two polynomials using algebra tiles
- Z.8 Multiply two binomials
- Z.9 Multiply two binomials: special cases
- Z.10 Multiply polynomials

## Factoring

## Quadratic equations

- BB.1 Characteristics of quadratic functions
- BB.2 Complete a function table: quadratic functions
- BB.3 Transformations of quadratic functions
- BB.4 Graph quadratic functions in vertex form
- BB.5 Solve a quadratic equation using square roots
- BB.6 Solve a quadratic equation using the zero product property
- BB.7 Solve a quadratic equation by factoring
- BB.8 Complete the square
- BB.9 Solve a quadratic equation by completing the square
- BB.10 Solve a quadratic equation using the quadratic formula
- BB.11 Using the discriminant
- BB.12 Match quadratic functions and graphs
- BB.13 Systems of linear and quadratic equations

## Functions: linear, quadratic, exponential

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

## Absolute value functions

## Radical expressions

- EE.1 Simplify radical expressions
- EE.2 Simplify radical expressions with variables
- EE.3 Simplify radical expressions involving fractions
- EE.4 Multiply radical expressions
- EE.5 Add and subtract radical expressions
- EE.6 Simplify radical expressions using the distributive property
- EE.7 Divide radical expressions
- EE.8 Simplify radical expressions: mixed review

## Radical functions and equations

## Rational functions and expressions

- GG.1 Rational functions: asymptotes and excluded values
- GG.2 Simplify complex fractions
- GG.3 Simplify rational expressions
- GG.4 Multiply and divide rational expressions
- GG.5 Divide polynomials
- GG.6 Add and subtract rational expressions
- GG.7 Solve rational equations
- GG.8 Evaluate rational expressions

## Trigonometry

## Probability

## Statistics

- KK.1 Identify biased samples
- KK.2 Mean, median, mode, and range
- KK.3 Quartiles
- KK.4 Identify an outlier
- KK.5 Identify an outlier and describe the effect of removing it
- KK.6 Mean absolute deviation
- KK.7 Variance and standard deviation
- KK.8 Interpret a scatter plot
- KK.9 Outliers in scatter plots
- KK.10 Match correlation coefficients to scatter plots
- KK.11 Calculate correlation coefficients
- KK.12 Scatter plots: line of best fit
- KK.13 Find the equation of a regression line
- KK.14 Interpret regression lines
- KK.15 Analyze a regression line of a data set