Free Printable WorksheetMathGrade 7Math Curriculum7.100

7.100 Triangle inequality and feasibility Worksheet

Download our free printable Grade 7 Math worksheet on 7.100 Triangle inequality and feasibility. 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 Grade 7 Math worksheet provides structured practice on 7.100 Triangle inequality and feasibility. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

7.100 Triangle inequality and feasibility - In multiple-choice items, students choose whether a set of lengths can form a triangle and select the inequality statement that supports the decision.

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

Grade 7

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 7.100 Triangle inequality and feasibility skill assessments:

Problem 1Difficulty: Mastery
When t = 4, a candidate side set is t + 3, 2t + 1, and 3t + 5. Can the simplified lengths form a triangle? Choose the supporting comparison.
AYes; 7 + 9 > 17.
BNo; 7 + 9 = 17.
CYes; 17 < 7 + 9.
DNo; 7 + 9 < 17.
Solution & Explanation:Substitute t = 4 to get 7, 9, and 17. The two shorter lengths add to 16, which is less than 17, so the side set cannot form a triangle.
Problem 2Difficulty: Mastery
A toolkit has pieces 2 1/2 ft, 18 in, and 4 ft long. Use inches to decide if they can form a triangle. Select the true supporting statement.
AYes; 30 in + 18 in > 48 in.
BNo; 30 in + 18 in < 48 in.
CNo; 30 in + 18 in = 48 in, not > 48 in.
DYes; 48 in < 30 in + 18 in.
Solution & Explanation:Convert 2 1/2 ft to 30 in and 4 ft to 48 in. Since 18 in + 30 in = 48 in, the pieces cannot form a triangle.
Problem 3Difficulty: Mastery
A model uses pieces 1 1/2 ft, 20 in, and 3 ft long. After converting to inches, can the pieces form a triangle? Pick the correct reason.
ANo; 18 in + 20 in < 36 in.
BYes; 18 in + 20 in > 36 in.
CNo; 18 in + 20 in = 36 in.
DYes; 36 in > 18 in + 20 in.
Solution & Explanation:Convert 1 1/2 ft to 18 in and 3 ft to 36 in. Since 18 + 20 = 38 and 38 > 36, the pieces can form a triangle.

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Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

QHow do I download and print this 7.100 Triangle inequality and feasibility 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 7.100 Triangle inequality and feasibility worksheet free for teachers and homeschoolers?

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QCan students practice 7.100 Triangle inequality and feasibility online with instant feedback?

Yes! In addition to this printable worksheet, students can practice 7.100 Triangle inequality and feasibility 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 Grade 7 Math students. It aligns with educational standard 7.100 (No formal standard code is listed for this source row in the prompt cell. Skill statement in this prompt cell: In multiple-choice items, students choose whether a set of lengths can form a triangle and select the inequality statement that supports the decision. No attached standards were listed with this skill in the prompt cell. Use this curriculum wording and the source skill identifier 7.100 as the best available supporting standard description for this prompt-prep workflow.).

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