Algebra 1

IXL offers hundreds of Algebra 1 skills to explore and learn! Not sure where to start? Go to your personalized Recommendations wall and choose a skill that looks interesting!

IXL offers hundreds of Algebra 1 skills to explore and learn! Not sure where to start? Go to your personalized Recommendations wall and choose a skill that looks interesting!

A. Numbers

1
Compare and order rational numbers

2
Absolute value and opposites

3
Number lines

4
Convert between decimals and fractions

5
Convert between repeating decimals and fractions

6
Square roots

7
Cube roots

8
Sort rational and irrational numbers

9
Classify rational and irrational numbers

10
Properties of operations on rational and irrational numbers

11
Classify numbers

B. Operations

1
Add, subtract, multiply, and divide integers

2
Evaluate numerical expressions involving integers

3
Evaluate variable expressions involving integers

4
Add and subtract rational numbers

5
Multiply and divide rational numbers

6
Evaluate numerical expressions involving rational numbers

7
Evaluate variable expressions involving rational numbers

C. Ratios, rates, and proportions

1
Identify equivalent ratios

2
Write an equivalent ratio

3
Unit rates

4
Unit prices

5
Solve proportions

6
Solve proportions: word problems

7
Scale drawings: word problems

D. Percents

1
Convert between percents, fractions, and decimals

2
Solve percent equations

3
Percent word problems

4
Percent of change

5
Percent of change: word problems

6
Percent of change: find the original amount word problems

7
Percent of a number: tax, discount, and more

8
Find the percent: tax, discount, and more

9
Multi-step problems with percents

E. Measurement

1
Convert rates and measurements: customary units

2
Convert rates and measurements: metric units

3
Unit prices with unit conversions

4
Multi-step problems with unit conversions

5
Precision

6
Greatest possible error

7
Minimum and maximum area and volume

8
Percent error

9
Percent error: area and volume

F. Geometry

1
Perimeter

2
Area

3
Area and perimeter: word problems

4
Volume

5
Surface area

6
Similar figures: side lengths and angle measures

7
Similar triangles and indirect measurement

8
Dilations and scale factors

9
Area and perimeter of similar figures

10
Area between two shapes

11
Similar solids

12
Volume and surface area of similar solids

13
Perimeter and area: changes in scale

14
Surface area and volume: changes in scale

15
Perimeter, area, and volume: changes in scale

16
Pythagorean theorem

17
Pythagorean theorem: word problems

18
Converse of the Pythagorean theorem: is it a right triangle?

19
Special right triangles

G. Coordinate plane

1
Coordinate plane review

2
Midpoint formula: find the midpoint

3
Midpoint formula: find the endpoint

4
Distance between two points

H. Properties

1
Properties of addition and multiplication

2
Distributive property

3
Simplify variable expressions using properties

4
Properties of equality

5
Identify equivalent equations

I. Variable expressions and equations

1
Write variable expressions

2
Sort factors of variable expressions

3
Simplify variable expressions involving like terms and the distributive property

4
Identify equivalent linear expressions

5
Write variable equations

6
Does x satisfy the equation?

7
Which x satisfies an equation?

8
Solve equations using order of operations

9
Rearrange multi-variable equations

J. Solve equations

1
Model and solve equations using algebra tiles

2
Write and solve equations that represent diagrams

3
Solve one-step linear equations

4
Solve two-step linear equations

5
Solve advanced linear equations

6
Solve equations with variables on both sides

7
Solve equations: complete the solution

8
Find the number of solutions

9
Create equations with no solutions or infinitely many solutions

10
Solve linear equations: word problems

11
Solve linear equations: mixed review

K. Single-variable inequalities

1
Graph inequalities

2
Write inequalities from graphs

3
Identify solutions to inequalities

4
Solve one-step linear inequalities: addition and subtraction

5
Solve one-step linear inequalities: multiplication and division

6
Solve one-step linear inequalities

7
Graph solutions to one-step linear inequalities

8
Solve two-step linear inequalities

9
Graph solutions to two-step linear inequalities

10
Solve advanced linear inequalities

11
Graph solutions to advanced linear inequalities

12
Graph compound inequalities

13
Write compound inequalities from graphs

14
Solve compound inequalities

15
Graph solutions to compound inequalities

L. Absolute value equations and inequalities

1
Solve absolute value equations

2
Graph solutions to absolute value equations

3
Solve absolute value inequalities

4
Graph solutions to absolute value inequalities

M. Matrices

1
Matrix vocabulary

2
Matrix operation rules

3
Add and subtract matrices

4
Multiply a matrix by a scalar

5
Add and subtract scalar multiples of matrices

6
Multiply two matrices

7
Properties of matrices

N. Data and graphs

1
Interpret bar graphs, line graphs, and histograms

2
Create bar graphs, line graphs, and histograms

3
Interpret circle graphs

4
Interpret stem-and-leaf plots

5
Box plots

O. Problem solving

1
Word problems: mixed review

2
Word problems with money

3
Consecutive integer problems

4
Rate of travel: word problems

5
Weighted averages: word problems

P. Number sequences

1
Identify arithmetic and geometric sequences

2
Arithmetic sequences

3
Geometric sequences

4
Evaluate variable expressions for number sequences

5
Evaluate recursive formulas for sequences

6
Identify a sequence as explicit or recursive

7
Write variable expressions for arithmetic sequences

8
Write variable expressions for geometric sequences

9
Write a formula for a recursive sequence

10
Convert a recursive formula to an explicit formula

11
Convert an explicit formula to a recursive formula

12
Number sequences: mixed review

Q. Relations and functions

1
Relations: convert between tables, graphs, mappings, and lists of points

2
Domain and range of relations

3
Identify independent and dependent variables

4
Identify functions

5
Identify functions: vertical line test

6
Find values using function graphs

7
Evaluate a function

8
Evaluate a function: plug in an expression

9
Add and subtract functions

10
Multiply functions

11
Find the inverse of a function

12
Complete a function table from a graph

13
Complete a function table from an equation

14
Interpret the graph of a function: word problems

15
Interpret functions using everyday language

16
Rate of change: tables

17
Rate of change: graphs

R. Direct and inverse variation

1
Identify proportional relationships

2
Find the constant of variation

3
Graph a proportional relationship

4
Write direct variation equations

5
Write and solve direct variation equations

6
Identify direct variation and inverse variation

7
Write inverse variation equations

8
Write and solve inverse variation equations

S. Linear functions

1
Identify linear functions from graphs and equations

2
Identify linear functions from tables

3
Find the slope of a graph

4
Find the slope from two points

5
Find a missing coordinate using slope

6
Slope-intercept form: find the slope and y-intercept

7
Slope-intercept form: graph an equation

8
Slope-intercept form: write an equation from a graph

9
Slope-intercept form: write an equation

10
Slope-intercept form: write an equation from a table

11
Slope-intercept form: write an equation from a word problem

12
Linear equations: solve for y

13
Write linear functions: word problems

14
Complete a table and graph a linear function

15
Compare linear functions: graphs and equations

16
Compare linear functions: tables, graphs, and equations

17
Write equations in standard form

18
Standard form: find x- and y-intercepts

19
Standard form: graph an equation

20
Equations of horizontal and vertical lines

21
Graph a horizontal or vertical line

22
Point-slope form: graph an equation

23
Point-slope form: write an equation

24
Point-slope form: write an equation from a graph

25
Slopes of parallel and perpendicular lines

26
Write an equation for a parallel or perpendicular line

27
Transformations of linear functions

T. Linear inequalities

1
Does (x, y) satisfy the inequality?

2
Linear inequalities: solve for y

3
Graph a two-variable linear inequality

4
Linear inequalities: word problems

5
Is (x, y) a solution to the system of inequalities?

6
Solve systems of linear inequalities by graphing

U. Systems of linear equations

1
Is (x, y) a solution to the system of equations?

2
Solve a system of equations by graphing

3
Solve a system of equations by graphing: word problems

4
Find the number of solutions to a system of equations by graphing

5
Find the number of solutions to a system of equations

6
Classify a system of equations by graphing

7
Classify a system of equations

8
Solve a system of equations using substitution

9
Solve a system of equations using substitution: word problems

10
Solve a system of equations using elimination

11
Solve a system of equations using elimination: word problems

12
Solve a system of equations using augmented matrices

13
Solve a system of equations using augmented matrices: word problems

14
Solve a system of equations using any method

15
Solve a system of equations using any method: word problems

V. Exponents

1
Exponents with integer bases

2
Exponents with decimal and fractional bases

3
Negative exponents

4
Multiplication with exponents

5
Division with exponents

6
Multiplication and division with exponents

7
Power rule

8
Evaluate expressions using properties of exponents

9
Identify equivalent expressions involving exponents I

10
Identify equivalent expressions involving exponents II

11
Evaluate integers raised to positive rational exponents

12
Evaluate integers raised to rational exponents

13
Multiplication with rational exponents

14
Division with rational exponents

15
Power rule with rational exponents

16
Simplify expressions involving rational exponents

W. Scientific notation

1
Convert between standard and scientific notation

2
Compare numbers written in scientific notation

3
Add and subtract numbers written in scientific notation

4
Multiply numbers written in scientific notation

5
Divide numbers written in scientific notation

X. Exponential functions

1
Evaluate an exponential function

2
Match exponential functions and graphs

3
Domain and range of exponential functions: graphs

4
Domain and range of exponential functions: equations

5
Exponential growth and decay: word problems

6
Compound interest: word problems

Y. Monomials

1
Identify monomials

2
Multiply monomials

3
Divide monomials

4
Multiply and divide monomials

5
Powers of monomials

Z. Polynomials

1
Polynomial vocabulary

2
Model polynomials with algebra tiles

3
Add and subtract polynomials using algebra tiles

4
Add and subtract polynomials

5
Add polynomials to find perimeter

6
Multiply a polynomial by a monomial

7
Multiply two polynomials using algebra tiles

8
Multiply two binomials

9
Multiply two binomials: special cases

10
Multiply polynomials

AA. Factoring

1
GCF of monomials

2
Factor out a monomial

3
Factor quadratics using algebra tiles

4
Factor quadratics with leading coefficient 1

5
Factor quadratics with other leading coefficients

6
Factor quadratics: special cases

7
Factor by grouping

8
Factor polynomials

BB. Quadratic equations

1
Characteristics of quadratic functions: graphs

2
Characteristics of quadratic functions: equations

3
Complete a function table: quadratic functions

4
Transformations of quadratic functions

5
Graph quadratic functions in vertex form

6
Solve a quadratic equation using square roots

7
Solve a quadratic equation using the zero product property

8
Solve a quadratic equation by factoring

9
Complete the square

10
Solve a quadratic equation by completing the square

11
Solve a quadratic equation using the quadratic formula

12
Using the discriminant

13
Graph quadratic functions in standard form

14
Match quadratic functions and graphs

15
Write a quadratic function from its vertex and another point

16
Systems of linear and quadratic equations

CC. Functions: linear, quadratic, exponential

1
Identify linear and exponential functions from graphs

2
Identify linear, quadratic, and exponential functions from graphs

3
Identify linear and exponential functions from tables

4
Identify linear, quadratic, and exponential functions from tables

5
Write linear, quadratic, and exponential functions

6
Linear functions over unit intervals

7
Exponential functions over unit intervals

8
Describe linear and exponential growth and decay

DD. Absolute value functions

1
Complete a function table: absolute value functions

2
Graph an absolute value function

3
Domain and range of absolute value functions: graphs

4
Domain and range of absolute value functions: equations

5
Transformations of absolute value functions

EE. Radical expressions

1
Simplify radical expressions

2
Simplify radical expressions with variables

3
Simplify radical expressions involving fractions

4
Multiply radical expressions

5
Add and subtract radical expressions

6
Simplify radical expressions using the distributive property

7
Divide radical expressions

8
Simplify radical expressions: mixed review

FF. Radical functions and equations

1
Evaluate a radical function

2
Domain and range of radical functions: graphs

3
Domain and range of radical functions: equations

4
Solve radical equations I

5
Solve radical equations II

GG. Rational functions and expressions

1
Rational functions: asymptotes and excluded values

2
Simplify complex fractions

3
Simplify rational expressions

4
Multiply and divide rational expressions

5
Divide polynomials by monomials

6
Divide polynomials using long division

7
Add and subtract rational expressions

8
Solve rational equations

9
Evaluate rational expressions

HH. Trigonometry

1
Trigonometric ratios: sin, cos, and tan

2
Find trigonometric ratios using a calculator

3
Inverses of trigonometric functions

4
Trigonometric ratios: find a side length

5
Trigonometric ratios: find an angle measure

6
Solve a right triangle

II. Logic

1
Identify hypotheses and conclusions

2
Counterexamples

JJ. Probability

1
Theoretical probability

2
Experimental probability

3
Find probabilities using two-way frequency tables

4
Find conditional probabilities using two-way frequency tables

5
Outcomes of compound events

6
Identify independent and dependent events

7
Probability of independent and dependent events

8
Counting principle

9
Permutations

10
Permutation and combination notation

KK. Statistics

1
Identify biased samples

2
Mean, median, mode, and range

3
Quartiles

4
Identify an outlier

5
Identify an outlier and describe the effect of removing it

6
Mean absolute deviation

7
Variance and standard deviation

8
Interpret a scatter plot

9
Outliers in scatter plots

10
Match correlation coefficients to scatter plots

11
Calculate correlation coefficients

12
Scatter plots: line of best fit

13
Find the equation of a regression line

14
Interpret regression lines

15
Analyze a regression line of a data set