Free Printable WorksheetMathAlgebra IMath CurriculumA-REI connections (course-model dependent)

ALG1.108 Solve Absolute Value Inequalities Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Algebra I Math worksheet provides structured practice on ALG1.108 Solve Absolute Value Inequalities. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

ALG1.108 Solve Absolute Value Inequalities - Select the correct solution to absolute value inequalities and represent solutions on a number line; Select the statement that correctly interprets solution sets as distance constraints in context. (CCSS: A-REI connections (course-model dependent); TEKS: §111.39(c)(2)(B) (inequalities) and local curricula; VA SOL: A.EI.1 (method reasoning); FL B.E.S.T.: MA.912.AR.4.1; NY-NGLS: AI-F.IF.7b connections; CA CCSSM: F-IF.7b; MA 2017: HS.F-IF.7b; DoDEA CCRSM; NAEP: Algebra—equations; NCTM P2A: Practices 1, 3.)

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Algebra I

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related ALG1.108 Solve Absolute Value Inequalities skill assessments:

Problem 1Difficulty: Mastery
A solution set is 14 <= x <= 30. Which absolute value inequality and interpretation match it?
A∣x - 22∣ >= 8; x is at least 8 units from 22
B∣x - 14∣ <= 30; x is at most 30 units from 14
C∣x - 8∣ <= 22; x is at most 22 units from 8
D∣x - 22∣ <= 8; x is at most 8 units from 22
Solution & Explanation:The midpoint of 14 and 30 is 22, and each endpoint is 8 units from 22. The interval includes all values at most 8 units from 22, so |x - 22| <= 8.
Problem 2Difficulty: Mastery
A graph shows g(x) = |x + 2| - 3. For which x-values is g(x) > 2?
A-7 < x < 3
Bx <= -7 or x >= 3
Cx < -7 or x > 3
D-3 < x < 7
Solution & Explanation:Solve |x + 2| - 3 > 2 by adding 3 to get |x + 2| > 5. Values more than 5 units from -2 are x < -7 or x > 3.
Problem 3Difficulty: Mastery
The table lists selected x-values: -6, -2, 0, 3, 6, 10. Which listed values satisfy |x - 2| >= 4?
A0 and 3
B-6, -2, 6, and 10
C-2, 0, and 3
Dall listed values
Solution & Explanation:The inequality |x - 2| >= 4 means x <= -2 or x >= 6. From the list, the values that satisfy it are -6, -2, 6, and 10.

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Frequently Asked Questions

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Algebra I Math students. It aligns with educational standard A-REI connections (course-model dependent) (Primary standard selected for prompt fields in this prompt cell: CCSS A-REI connections (course-model dependent). Skill statement in this prompt cell: Select the correct solution to absolute value inequalities and represent solutions on a number line; Select the statement that correctly interprets solution sets as distance constraints in context. Associated standards listed with this skill in the curriculum source: CCSS: A-REI connections (course-model dependent); TEKS: §111.39(c)(2)(B) (inequalities) and local curricula; VA SOL: A.EI.1 (method reasoning); FL B.E.S.T.: MA.912.AR.4.1; NY-NGLS: AI-F.IF.7b connections; CA CCSSM: F-IF.7b; MA 2017: HS.F-IF.7b; DoDEA CCRSM; NAEP: Algebra—equations; NCTM P2A: Practices 1, 3. Use this prompt-provided wording as the supporting standard description for this workflow.).

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