Free Printable WorksheetMathAlgebra IMath CurriculumA-REI.3

ALG1.34 One Variable Linear Inequalities Worksheet

Download our free printable Algebra I Math worksheet on ALG1.34 One Variable Linear Inequalities. Ideal for classroom practice, homeschool learning, independent homework, and standardized test preparation. Available in both print-ready PDF and editable DOCX formats.

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Algebra I Math worksheet provides structured practice on ALG1.34 One Variable Linear Inequalities. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

ALG1.34 One-Variable Linear Inequalities - Primary standard selected for prompt fields in this prompt cell: CCSS A-REI.3. Skill statement in this prompt cell: Select the correct solution to linear inequalities in one variable; Select the graph that represents solution sets on number lines and interpret them in context. Associated standards listed with this skill in this prompt cell: CCSS: A-REI.3; A-CED.1,3; TEKS: §111.39(c)(2)(A–G) and (3)(B–E); VA SOL: A.EI.1 c; FL B.E.S.T.: MA.912.AR.2.6; NY-NGLS: AI-A.CED.1, AI-A.REI.1–3; CA CCSSM: A-REI.3; MA 2017: HS.A-REI.3; DoDEA CCRSM; NAEP: Algebra—inequalities; NCTM P2A: Practices 2, 5.. Use this prompt-provided wording as the supporting standard description for this workflow.

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 ALG1.34 One Variable Linear Inequalities skill assessments:

Problem 1Difficulty: Mastery
A kayak rental costs $14 plus $6 per hour. Maya can spend at most $50. Which statement correctly describes the possible rental time h?
Ah can be at most 6 hours
Bh must be more than 6 hours
Ch can be less than 5 hours only
Dh must be at least 8 hours
Solution & Explanation:Use 14 + 6h <= 50. Subtract 14 to get 6h <= 36, so h <= 6. This means at most 6 hours.
Problem 2Difficulty: Mastery
Select the graph that represents the solution to -0.5x + 2 >= 5.
AGraph A
BGraph B
CGraph C
DGraph D
Solution & Explanation:Solving gives -0.5x >= 3. Dividing by -0.5 reverses the inequality, so x <= -6. Use a closed circle at -6 shaded left.
Problem 3Difficulty: Mastery
Solve the inequality (8 - 3x)/4 < x + 1/2.
Ax > 6/7
Bx < 6/7
Cx > 7/6
Dx < 7/6
Solution & Explanation:Multiply by 4 to get 8 - 3x < 4x + 2. Subtract 2 and add 3x to get 6 < 7x, so x > 6/7.

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Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

QHow do I download and print this ALG1.34 One Variable Linear Inequalities worksheet?

Click either the "Download PDF" or "Download DOCX" button at the top of the page. You can print the PDF directly from your browser or edit the DOCX file in Microsoft Word or Google Docs to tailor the questions to your students.

QIs this ALG1.34 One Variable Linear Inequalities worksheet free for teachers and homeschoolers?

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QCan students practice ALG1.34 One Variable Linear Inequalities online with instant feedback?

Yes! In addition to this printable worksheet, students can practice ALG1.34 One Variable Linear Inequalities interactively on our platform with automated grading, instant score tracking, and detailed step-by-step solutions.

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.3 (Primary standard selected for prompt fields in this prompt cell: CCSS A-REI.3. Skill statement in this prompt cell: Select the correct solution to linear inequalities in one variable; Select the graph that represents solution sets on number lines and interpret them in context. Associated standards listed with this skill in this prompt cell: CCSS: A-REI.3; A-CED.1,3; TEKS: §111.39(c)(2)(A–G) and (3)(B–E); VA SOL: A.EI.1 c; FL B.E.S.T.: MA.912.AR.2.6; NY-NGLS: AI-A.CED.1, AI-A.REI.1–3; CA CCSSM: A-REI.3; MA 2017: HS.A-REI.3; DoDEA CCRSM; NAEP: Algebra—inequalities; NCTM P2A: Practices 2, 5.. Use this prompt-provided wording as the supporting standard description for this workflow.).

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