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1.08 Absolute value inequalities

Adaptive
Worksheet

Interactive practice questions

Consider the following inequalities and for each one, select the correct number line representation.

a

$\left|x\right|>6$|x|>6

-12-10-8-6-4-2024681012

A

-12-10-8-6-4-2024681012

B

-12-10-8-6-4-2024681012

C

-12-10-8-6-4-2024681012

D
b

$\left|x\right|\ne6$|x|6

-12-10-8-6-4-2024681012

A

-12-10-8-6-4-2024681012

B

-12-10-8-6-4-2024681012

C

-12-10-8-6-4-2024681012

D
Easy
1min

Consider the following inequalities or equations and for each one, select the correct number line representation.

Easy
1min

Consider the following inequalities or equations and for each one, select the correct number line representation.

Easy
< 1min

Consider the following inequalities and for each one, select the correct number line representation.

Easy
1min
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Outcomes

M1.N.Q.A.1

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

M1.N.Q.A.1.C

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

M1.A.CED.A.1

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

M1.A.CED.A.3

Create individual and systems of equations and/or inequalities to represent constraints in a contextual situation, and interpret solutions as viable or non-viable.*

M1.A.REI.B.2

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

M1.A.REI.B.2.B

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

M1.MP1

Make sense of problems and persevere in solving them.

M1.MP2

Reason abstractly and quantitatively.

M1.MP3

Construct viable arguments and critique the reasoning of others.

M1.MP4

Model with mathematics.

M1.MP6

Attend to precision.

M1.MP7

Look for and make use of structure.

M1.MP8

Look for and express regularity in repeated reasoning.

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