Topics
1. Equations & Inequalities in One Variable
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United States of AmericaTennessee
Algebra 1

1.05 Absolute value equations

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

How many solutions will the equation $\left|x\right|=a$|x|=a, where $a$a is a positive number, always have?

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

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

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

Easy
< 1min
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Outcomes

A1.N.Q.A.1

Use units as a way to understand real-world problems.*

A1.N.Q.A.1.C

Define and justify appropriate quantities within a context for the purpose of modeling.*

A1.A.CED.A.1

Create equations and inequalities in one variable and use them to solve problems in a real-world context.*

A1.A.CED.A.4

Rearrange formulas to isolate a quantity of interest using algebraic reasoning.

A1.A.REI.A.1

Understand solving equations as a process of reasoning and explain the reasoning. Construct a viable argument to justify a solution method.

A1.A.REI.B.2

Solve linear and absolute value equations and inequalities in one variable.

A1.A.REI.B.2.B

Solve absolute value equations and inequalities in one variable. Represent solutions algebraically and graphically.

A1.MP1

Make sense of problems and persevere in solving them.

A1.MP2

Reason abstractly and quantitatively.

A1.MP3

Construct viable arguments and critique the reasoning of others.

A1.MP4

Model with mathematics.

A1.MP6

Attend to precision.

A1.MP7

Look for and make use of structure.

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