Free Printable WorksheetMathGrade 6Math Curriculum6.EE.C.9

6.74 Write an Equation from a Table or Graph and Interpret the Relationship Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 6 Math worksheet provides structured practice on 6.74 Write an Equation from a Table or Graph and Interpret the Relationship. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Which equation correctly matches the table or graph, and which statement correctly interprets what it means? (CCSS 6.EE.C.9; CA 6.EE.C.9; MA 6.EE.C.9; NY NY-6.EE.9; TX 19 TAC §111.26(b)(6)(A)-(C); FL MA.6.AR.4.1 (Relations); VA 6.PFA.2e)

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 6

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 6.74 Write an Equation from a Table or Graph and Interpret the Relationship skill assessments:

Problem 1Difficulty: Mastery

A craft kit starts with some string and uses the same length for each bracelet. Variable b is bracelets made and s is centimeters of string left. Table: b: 0, 2, 4, 6; s: 180, 150, 120, 90. Which option shows both the matching equation and the correct meaning of the relationship?

As = 180 - 14b; The centimeters of string left starts at 180 and decreases by 14 for each 1-unit increase in bracelets made.

Bs = 175 - 15b; The centimeters of string left starts at 175 and decreases by 15 for each 1-unit increase in bracelets made.

Cb = 180 - 15s; This treats bracelets made as the dependent quantity instead of centimeters of string left.

Ds = 180 - 15b; The kit starts with 180 centimeters of string and decreases by 15 centimeters for each bracelet.

Solution & Explanation:From b = 0 to 2, s changes from 180 to 150, so the change per 1 b is -15. The value at b = 0 is 180, and the relationship decreases by 15 for each 1 b. That matches s = 180 - 15b and means: The kit starts with 180 centimeters of string and decreases by 15 centimeters for each bracelet.

Problem 2Difficulty: Mastery

A graph shows kilograms of dog food left after meals. Variable m is meals served and f is kilograms of food left. The graph shows a straight-line relationship. Which option matches the graph and explains the relationship correctly?

Af = 12 - m; The kilograms of food left starts at 12 and decreases by 1 for each 1-unit increase in meals served.

Bf = 14 - 0.8m; The kilograms of food left starts at 14 and decreases by 0.8 for each 1-unit increase in meals served.

Cf = 12 - 0.8m; The food starts with 12 kilograms and decreases by 0.8 kilogram for each meal.

Dm = 12 - 0.8f; This treats meals served as the dependent quantity instead of kilograms of food left.

Solution & Explanation:From m = 0 to 5, f changes from 12 to 8, so the change per 1 m is -0.8. The value at m = 0 is 12, and the relationship decreases by 0.8 for each 1 m. That matches f = 12 - 0.8m and means: The food starts with 12 kilograms and decreases by 0.8 kilogram for each meal.

Problem 3Difficulty: Mastery

A puzzle has border pieces already placed and a constant number of pieces added each round. Variable r is rounds and p is pieces placed. Table: r: 0, 1, 2, 3; p: 24, 37, 50, 63. Which equation and meaning correctly describe the relationship in the table?

Ap = 12r + 24; The pieces placed starts at 24 and increases by 12 for each 1-unit increase in rounds.

Bp = 13r + 24; The puzzle starts with 24 pieces placed and gains 13 pieces each round.

Cp = 13r + 19; The pieces placed starts at 19 and increases by 13 for each 1-unit increase in rounds.

Dr = 13p + 24; This treats rounds as the dependent quantity instead of pieces placed.

Solution & Explanation:As r increases by 1, p changes by 13. The value at r = 0 is 24, which is the starting amount. That matches p = 13r + 24 and means: The puzzle starts with 24 pieces placed and gains 13 pieces each round.

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 6 Math students. It aligns with educational standard 6.EE.C.9 (Write an Equation from a Table or Graph and Interpret the Relationship).