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

ALG1.107 Solve Absolute Value Equations Answer Key Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Algebra I Math worksheet provides structured practice on ALG1.107 Solve Absolute Value Equations Answer Key. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

ALG1.107 Solve Absolute Value Equations - Select the correct solution to absolute value equations and verify solutions; Select the statement that correctly interprets solutions as distances or deviations 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 ALG1.107 Solve Absolute Value Equations Answer Key skill assessments:

Problem 1Difficulty: Mastery
A number line shows solution points at -14 and 2. Which equation and interpretation match the display?
A∣x - 6∣ = 8; x is 8 units from 6
B∣x + 8∣ = 6; x is 6 units from -8
C∣x + 6∣ = 8; x is 8 units from -6
D∣x - 8∣ = 6; x is 6 units from 8
Solution & Explanation:The midpoint of -14 and 2 is -6, and each solution is 8 units from -6. Distance from -6 is |x + 6|, so the equation is |x + 6| = 8.
Problem 2Difficulty: Mastery
Solve |3 - 2x| = |x + 6|.
Ax = -9 or x = 1
Bx = -1 or x = 9
Cx = 1 or x = 9
Dx = -1 only
Solution & Explanation:Set 3 - 2x = x + 6 to get x = -1. Set 3 - 2x = -(x + 6) to get x = 9. Both values make the absolute values equal.
Problem 3Difficulty: Mastery
A measurement a has zero deviation from 2.4, modeled by |a - 2.4| = 0. Which statement is correct?
Aa = 2.4 only
Ba = -2.4 or a = 2.4
Ca = 0 or a = 2.4
Dno solution
Solution & Explanation:Zero deviation means the measurement is exactly the target. The inside expression must be 0, so a - 2.4 = 0 and a = 2.4.

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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 equations and verify solutions; Select the statement that correctly interprets solutions as distances or deviations 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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