Topics
1. Analyzing Functions
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United States of AmericaVirginia
Algebra 2

1.05 Absolute value equations

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

What is/are the solution(s) to the absolute value equation $\left|x\right|=-8$|x|=−8?

$x=8$x=8

A

$x=-8$x=−8

B

$x=0$x=0

C

There are no solutions.

D

$x=64$x=64

E

$x=8,-8$x=8,−8

F
Easy
< 1min

Solve the equation $\left|x\right|=8$|x|=8.

Write both solutions as equations on the same line separated by a comma.

Easy
< 1min

For which value(s) of $b$b does the equation $\left|x\right|=b$|x|=b have only one solution?

If there is more than one value, write all the values on the same line, separated by commas.

Easy
1min

Solve the equation $9\left|x\right|=4$9|x|=4.

Write both solutions as equations on the same line separated by a comma.

Easy
1min
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Outcomes

A2.EI.1

The student will represent, solve, and interpret the solution to absolute value equations and inequalities in one variable.

A2.EI.1a

Create an absolute value equation in one variable to model a contextual situation.

A2.EI.1b

Solve an absolute value equation in one variable algebraically and verify the solution graphically.

A2.EI.1e

Verify possible solution(s) to absolute value equations and inequalities in one variable algebraically, graphically, and with technology to justify the reasonableness of answer(s). Explain the solution method and interpret solutions for problems given in context.

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