Algebra 1 skills

379 skills 75 lessons 355 videos

IXL has hundreds of Algebra 1 skills to learn and review! As you work through a skill, questions will adapt to match your level. Keep answering questions to reach mastery!

A. Numbers and operations

1
Add, subtract, multiply, and divide integers

2
Evaluate numerical expressions involving integers

3
Convert between decimals and fractions

4
Add and subtract rational numbers

5
Multiply and divide rational numbers

6
Simplify complex fractions

7
Evaluate numerical expressions involving rational numbers

8
Square roots

9
Cube roots

10
Sort rational and irrational numbers

11
Classify rational and irrational numbers

12
Properties of operations on rational and irrational numbers

13
Classify numbers

B. Expressions

1
Write variable expressions

2
Evaluate variable expressions involving integers

3
Evaluate variable expressions involving rational numbers

4
Evaluate rational expressions

5
Properties of addition and multiplication

6
Distributive property

7
Simplify linear expressions using properties

8
Sort factors of variable expressions

9
Simplify variable expressions involving like terms and the distributive property

10
Identify equivalent linear expressions

C. Solve linear equations

1
Write variable equations

2
Does x satisfy the equation?

3
Which x satisfies an equation?

4
Properties of equality

5
Identify equivalent equations

6
Model and solve linear equations using algebra tiles

7
Solve one-step linear equations

8
Solve two-step linear equations

9
Solve one-step and two-step linear equations: word problems

10
Solve linear equations with variables on one side

11
Consecutive integer problems

12
Solve linear equations with variables on both sides

13
Solve linear equations: mixed review

14
Solve linear equations: complete the solution

15
Find the number of solutions to a linear equation

16
Create linear equations with no solutions or infinitely many solutions

17
Solve linear equations with variables on both sides: word problems

18
Rearrange multi-variable equations

D. Geometry and measurement

1
Area and perimeter: word problems

2
Volume

3
Surface area

4
Precision

5
Greatest possible error

6
Minimum and maximum area and volume

7
Percent error

8
Percent error: area and volume

E. Problem solving with units

1
Scale drawings: word problems

2
Convert rates and measurements: customary units

3
Convert rates and measurements: metric units

4
Unit prices with unit conversions

5
Multi-step problems with unit conversions

6
Rate of travel: word problems

7
Weighted averages: word problems

Checkpoint: Units and quantities

F. Solve linear 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 multi-step linear inequalities

11
Graph solutions to multi-step linear inequalities

12
Graph compound inequalities

13
Write compound inequalities from graphs

14
Solve compound inequalities

15
Graph solutions to compound inequalities

Checkpoint: Solve linear equations and inequalities

G. Sets

1
Sets, subsets, and complements

2
Set-builder notation

3
Interval notation

4
Unions and intersections of sets

H. Absolute value equations and inequalities

1
Solve absolute value equations

2
Graph solutions to absolute value equations

3
Write absolute value equations from graphs

4
Solve absolute value inequalities

5
Graph solutions to absolute value inequalities

I. Coordinate plane

1
Coordinate plane review

2
Midpoint formula: find the midpoint

3
Midpoint formula: find the endpoint

4
Distance between two points

J. Direct and inverse variation

1
Find the constant of variation

2
Write direct variation equations

3
Write and solve direct variation equations

4
Identify direct variation and inverse variation

5
Write inverse variation equations

6
Write and solve inverse variation equations

K. Slope

1
Find the slope of a graph

2
Find the slope from two points

3
Find the slope from a table

4
Find a missing coordinate using slope

L. Linear equations

1
Does (x, y) satisfy the linear equation?

2
Relate the graph of a linear equation to its solutions

3
Slope-intercept form: find the slope and y-intercept

4
Slope-intercept form: graph an equation

5
Slope-intercept form: write an equation from a graph

6
Slope-intercept form: write an equation

7
Slope-intercept form: write an equation from a table

8
Linear equations: solve for y

9
Write linear equations in standard form

10
Standard form: find x- and y-intercepts

11
Standard form: graph a line from an equation

12
Equations of horizontal and vertical lines

13
Graph a horizontal or vertical line

14
Point-slope form: graph an equation

15
Point-slope form: write an equation

16
Point-slope form: write an equation from a graph

17
Find the slope and intercepts from an equation

18
Slopes of parallel and perpendicular lines

19
Write an equation for a parallel or perpendicular line

M. Function concepts

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
Complete a function table from a graph

10
Complete a function table from an equation

11
Find solutions using a table

12
Approximate solutions using a table

13
Interpret functions using everyday language

14
Identify graphs: word problems

15
Rate of change: tables

16
Rate of change: graphs

Checkpoint: Function concepts

Checkpoint: Average rate of change

Checkpoint: Solve equations using graphs and tables

N. Linear functions

1
Identify linear functions from graphs and equations

2
Identify linear functions from tables

3
Complete a table and graph a linear function

4
Evaluate a linear function from its graph: word problems

5
Rate of change of a linear function: tables

6
Rate of change of a linear function: graphs

7
Interpret the slope and y-intercept of a linear function

8
Write a linear function: word problems

9
Domain and range of linear functions: graphs

10
Domain and range of linear functions: word problems

11
Compare linear functions: graphs and equations

12
Compare linear functions: tables, graphs, and equations

13
Transformations of linear functions

O. 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

P. Two-variable linear inequalities

1
Does (x, y) satisfy the inequality?

2
Linear inequalities: solve for y

3
Graph a two-variable linear inequality

4
Write a linear inequality from a graph

5
Write two-variable inequalities: word problems

6
Is (x, y) a solution to the system of linear inequalities?

7
Solve systems of linear inequalities by graphing

Checkpoint: Systems of equations and inequalities

Checkpoint: Modeling with linear equations and inequalities

Q. Piecewise-defined functions

1
Evaluate piecewise-defined functions

2
Graph piecewise-defined functions

R. Integer exponents

1
Powers with integer bases

2
Powers with decimal and fractional bases

3
Negative exponents

4
Multiplication rule for exponents

5
Division rule for exponents

6
Power rule for exponents

7
Simplify exponential expressions using the multiplication rule

8
Simplify exponential expressions using the division rule

9
Simplify exponential expressions using the multiplication and division rules

10
Simplify exponential expressions using the power rule

11
Simplify exponential expressions using exponent rules

12
Evaluate expressions using exponent rules

13
Identify equivalent exponential expressions I

14
Identify equivalent exponential expressions II

S. Rational exponents

1
Evaluate integers raised to positive rational exponents

2
Evaluate integers raised to rational exponents

3
Multiplication with rational exponents

4
Division with rational exponents

5
Power rule with rational exponents

6
Simplify expressions involving rational exponents

T. 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

U. 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
Sequences: mixed review

Checkpoint: Sequences

V. Exponential functions

1
Evaluate an exponential function

2
Graph exponential functions

3
Match exponential functions and graphs I

4
Match exponential functions and graphs II

5
Domain and range of exponential functions: graphs

6
Domain and range of exponential functions: equations

7
Write exponential functions from tables and graphs

8
Write exponential functions: word problems

9
Exponential growth and decay: word problems

10
Compound interest: word problems

•
New! Exponential growth and decay

W. 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 binomials using algebra tiles

8
Multiply two binomials

9
Multiply two binomials: special cases

10
Multiply polynomials using area models

11
Multiply polynomials

12
Multiply polynomials to find area

13
Divide polynomials by monomials

14
Divide polynomials using long division

Checkpoint: Polynomial operations

X. Factor polynomials

1
GCF of monomials

2
LCM of monomials

3
Factor out a monomial

4
Factor quadratics using algebra tiles

5
Factor quadratics with leading coefficient 1

6
Factor quadratics with other leading coefficients

7
Factor quadratics: special cases

8
Factor by grouping

9
Factor using a quadratic pattern

10
Factor polynomials

Y. Quadratic functions

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
Write a quadratic function in vertex form

7
Graph quadratic functions in standard form

8
Match quadratic functions and graphs

9
Domain and range of quadratic functions: graphs

10
Domain and range of quadratic functions: equations

11
Write a quadratic function in vertex form from its vertex and another point

12
Write a quadratic function in factored form from its x-intercepts and another point

•
New! Write a quadratic function in standard form from its x-intercepts and another point

13
Interpret parts of quadratic expressions: word problems

Z. Quadratic equations

1
Solve a quadratic equation using square roots

2
Solve a quadratic equation using the zero product property

3
Solve a quadratic equation by factoring

4
Complete the square

5
Solve a quadratic equation by completing the square

6
Solve a quadratic equation using the quadratic formula

7
Solve quadratic equations: word problems

8
Using the discriminant

9
Solve a system of linear and quadratic equations by graphing

10
Solve a system of linear and quadratic equations

Checkpoint: Quadratic equations

AA. Linear, quadratic, and exponential functions

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 and exponential functions: word problems

6
Write linear and exponential functions from tables

7
Write linear, quadratic, and exponential functions from tables

8
Linear functions over unit intervals

9
Exponential functions over unit intervals

10
Describe linear and exponential growth and decay

11
Compare linear and exponential growth

12
Compare linear, exponential, and quadratic growth

Checkpoint: Compare linear and exponential functions

Checkpoint: Quadratic and exponential expressions

Checkpoint: Modeling with linear, quadratic, and exponential equations and inequalities

BB. 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: translations and reflections

6
Transformations of absolute value functions: translations, reflections, and dilations

Checkpoint: Analyze, interpret, and compare functions

CC. Function operations

1
Add and subtract functions

2
Multiply functions

3
Find the inverse of a linear function

Checkpoint: Build functions

DD. Function transformations

1
Function transformation rules

2
Translations of functions

3
Reflections of functions

4
Dilations of functions

5
Transformations of functions

6
Describe function transformations

Checkpoint: Function transformations

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
Simplify radical expressions using conjugates

8
Simplify radical expressions: mixed review

9
Convert between rational exponents and radicals

Checkpoint: Radicals and rational exponents

FF. Radical functions and equations

1
Evaluate square root functions

2
Domain and range of square root functions: graphs

3
Domain and range of square root functions: equations

4
Graph square root functions

5
Graph cube root functions

6
Solve radical equations I

7
Solve radical equations II

Checkpoint: Graph and analyze functions

GG. Rational functions and expressions

1
Rational functions: asymptotes and excluded values

2
Simplify rational expressions

3
Multiply and divide rational expressions

4
Add and subtract rational expressions

5
Simplify mixed rational expressions

6
Solve rational equations

HH. Data and graphs

1
Create line plots

2
Interpret line plots

3
Create histograms

4
Interpret histograms

5
Create bar graphs, line graphs, and histograms

6
Interpret bar graphs, line graphs, and histograms

7
Interpret circle graphs

8
Interpret stem-and-leaf plots

9
Box plots

10
Interpret graphics I

11
Interpret graphics II

Checkpoint: Line plots, histograms, and box plots

II. Single-variable statistics

1
Identify biased samples

2
Mean, median, mode, and range

3
Calculate quartiles and interquartile range

4
Identify an outlier

5
Identify an outlier and describe the effect of removing it

6
Variance and standard deviation

7
Choose appropriate measures of center and variation

Checkpoint: Compare data sets

JJ. Bivariate statistics

1
Interpret a scatter plot

2
Outliers in scatter plots

3
Match correlation coefficients to scatter plots

4
Calculate correlation coefficients

5
Write equations for lines of best fit

6
Interpret lines of best fit: word problems

7
Find the equation of a regression line

8
Interpret regression lines

9
Analyze a regression line of a data set

10
Exponential regression

11
Correlation and causation

Checkpoint: Linear modeling

KK. 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

Checkpoint: Two-way frequency tables

LL. 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