Free Printable WorksheetMathGrade 7Math Curriculum7.RP.A.2b

7.11 Constant of proportionality from tables Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 7 Math worksheet provides structured practice on 7.11 Constant of proportionality from tables. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

7.11 Constant of proportionality from tables - In multiple-choice items, students select the correct constant of proportionality from a table and the correct contextual meaning of that constant. (CCSS 7.RP.A.2b; CA 7.RP.2b; MA 7.RP.2b; NY 7.RP.2b; FL MA.7.AR.4.2; TX 7.4(C); VA 7.PFA.1)

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 7.11 Constant of proportionality from tables skill assessments:

Problem 1Difficulty: Mastery

A solar panel table shows energy produced during hours of steady sunlight. The table shows y changing in proportion to x. Table: sunlight hours = 5, 10, 15, 25; kilowatt-hours produced = 12, 24, 36, 60. What unit rate is the constant of proportionality, and what does it mean?

Ak = 5/12; it means 5/12 sunlight hour for each 1 kilowatt-hour.

Bk = 12; it means 12 kilowatt-hours for each 1 sunlight hour.

Ck = 5; it means 5 kilowatt-hours for each 1 sunlight hour.

Dk = 2.4; it means 2.4 kilowatt-hours for each 1 sunlight hour.

Solution & Explanation:Divide each y-value by its matching x-value. For example, 12 / 5 = 2.4, and 24 / 10 = 2.4. So the constant of proportionality is 2.4, meaning 2.4 kilowatt-hours for each 1 sunlight hour.

Problem 2Difficulty: Mastery

A pottery studio records clay used for different numbers of bowls. Use the pairs in the proportional table. Table: bowls = 16, 8, 24, 32; pounds of clay = 22, 11, 33, 44. Which choice shows the value of k and the meaning of that value?

Ak = 8/11; it means 8/11 bowl for each 1 pound.

Bk = 22; it means 22 pounds for each 1 bowl.

Ck = 11/8; it means 11/8 pounds for each 1 bowl.

Dk = 16; it means 16 pounds for each 1 bowl.

Solution & Explanation:Divide each y-value by its matching x-value. For example, 22 / 16 = 11/8, and 11 / 8 = 11/8. So the constant of proportionality is 11/8, meaning 11/8 pounds for each 1 bowl.

Problem 3Difficulty: Mastery

A museum guide table shows audio length in proportion to number of exhibit stops. In the table, minutes of audio is proportional to exhibit stops. Table: exhibit stops = 4, 8, 12, 20; minutes of audio = 14, 28, 42, 70. Which answer gives the constant of proportionality and explains it?

Ak = 2/7; it means 2/7 exhibit stop for each 1 minute.

Bk = 7/2; it means 7/2 minutes for each 1 exhibit stop.

Ck = 14; it means 14 minutes for each 1 exhibit stop.

Dk = 4; it means 4 minutes for each 1 exhibit stop.

Solution & Explanation:Divide each y-value by its matching x-value. For example, 14 / 4 = 7/2, and 28 / 8 = 7/2. So the constant of proportionality is 7/2, meaning 7/2 minutes for each 1 exhibit stop.

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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.RP.A.2b (Primary standard selected for prompt fields in this prompt cell: CCSS 7.RP.A.2b. Skill statement in this prompt cell: In multiple-choice items, students select the correct constant of proportionality from a table and the correct contextual meaning of that constant. Associated standards listed with this skill in this prompt cell: CCSS 7.RP.A.2b; CA 7.RP.2b; MA 7.RP.2b; NY 7.RP.2b; FL MA.7.AR.4.2; TX 7.4(C); VA 7.PFA.1. Use this prompt-provided wording as the supporting standard description for this workflow.).