Free Printable WorksheetMathAlgebra IMath CurriculumA-REI.3

ALG1.40 Inequality Reasoning on Number Lines Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Algebra I Math worksheet provides structured practice on ALG1.40 Inequality Reasoning on Number Lines. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

ALG1.40 Inequality Reasoning on Number Lines - Primary standard selected for prompt fields in this prompt cell: CCSS A-REI.3. Skill statement in this prompt cell: Select the graph that represents inequalities accurately using open and closed endpoints; Choose the comparison that correctly describes solution sets by reading and interpreting number lines. 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 ALG1.40 Inequality Reasoning on Number Lines skill assessments:

Problem 1Difficulty: Mastery
A bus can carry more than 0 students and at most 48 students. Which graph represents the number of students c?
AOpen circle at 0, closed circle at 48, shaded between
BClosed circle at 0, open circle at 48, shaded between
CClosed circles at 0 and 48, shaded between
DOpen circles at 0 and 48, shaded between
Solution & Explanation:More than 0 means 0 is excluded, and at most 48 means 48 is included. The graph is 0 < c <= 48.
Problem 2Difficulty: Mastery
Which inequality simplifies to the graph with a closed circle at -3 shaded left?
A2x + 6 <= 0
B2x + 6 < 0
C2x + 6 >= 0
D2x + 6 > 0
Solution & Explanation:Solving 2x + 6 <= 0 gives 2x <= -6, so x <= -3. The graph is closed at -3 and shaded left.
Problem 3Difficulty: Mastery
Which statement correctly compares the graphs of x > 0 and x >= 0?
ABoth shade right, but only x >= 0 includes 0.
BBoth shade left, but only x > 0 includes 0.
Cx > 0 uses a closed endpoint and x >= 0 uses an open endpoint.
DThe two graphs have different shading directions and the same endpoint type.
Solution & Explanation:Both inequalities describe values to the right of 0. The difference is the endpoint: x >= 0 includes 0, while x > 0 does not.

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Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

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QIs this ALG1.40 Inequality Reasoning on Number Lines worksheet free for teachers and homeschoolers?

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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.3 (Primary standard selected for prompt fields in this prompt cell: CCSS A-REI.3. Skill statement in this prompt cell: Select the graph that represents inequalities accurately using open and closed endpoints; Choose the comparison that correctly describes solution sets by reading and interpreting number lines. 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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