Free Printable WorksheetMathGrade 7Math Curriculum7.13

7.13 Constant of proportionality from equations Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 7 Math worksheet provides structured practice on 7.13 Constant of proportionality from equations. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

7.13 Constant of proportionality from equations - In multiple-choice items, students select the value of k in a proportional equation and select the statement that correctly interprets k. (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 7.13 Constant of proportionality from equations skill assessments:

Problem 1Difficulty: Mastery

A lab uses a proportional relationship between absorbance and concentration, written with a fraction coefficient on the right. c = concentration in molarity; A = absorbance in units. Equation: A = (3 ÷ 10)c What is the constant of proportionality k and what does it represent?

Ak = 10 ÷ 3; 10 ÷ 3 units per molarity

Bk = 0.3; 0.3 molarity per units

Ck = 0.3; 0.3 units per molarity

Dk = 0.6; 0.6 units per molarity

Solution & Explanation:The equation A = (3 ÷ 10)·c already shows k. Then k is the number multiplying c, so k = 0.3. Interpretation: 0.3 units per molarity (absorbance in units per concentration in molarity).

Problem 2Difficulty: Mastery

A lab report gives a proportional relationship between two variables with both sides scaled, and you must isolate the dependent variable. x = value of x; y = value of y. Equation: 0.9y = 0.36x What is the constant of proportionality k and what does it represent?

Ak = 0.4; y is 0.4 times x

Bk = 2.5; y is 2.5 times x

Ck = 0.4; x is 0.4 times y

Dk = 0.8; y is 0.8 times x

Solution & Explanation:Divide both sides by 0.9 to get y = (0.36 ÷ 0.9)·x = 0.4·x. Then k is the number multiplying x, so k = 0.4. This means y is 0.4 times x.

Problem 3Difficulty: Mastery

A student measures that y is proportional to x, but the equation is written with x on the left side. x = value of x; y = value of y. Equation: 0.2x = y What is the constant of proportionality k and what does it represent?

Ak = 5; y is 5 times x

Bk = 0.2; x is 0.2 times y

Ck = 0.4; y is 0.4 times x

Dk = 0.2; y is 0.2 times x

Solution & Explanation:Rewrite as y = 0.2·x, so k = 0.2. Then k is the number multiplying x, so k = 0.2. This means y is 0.2 times x.

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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 7.13 (Practice and review Grade 7 math skill 7.13: Constant of Proportionality from Equations.).