Free Printable WorksheetMathGrade 8Math Curriculum8.F.B.4

8.58 Writing a Linear Equation from a Table or Context Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 8 Math worksheet provides structured practice on 8.58 Writing a Linear Equation from a Table or Context. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.58 Writing a Linear Equation from a Table or Context - Which linear equation correctly models the relationship described by the table or word problem? (CCSS 8.F.B.4; CA 8.F.B.4; MA 8.F.B.4)

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 8

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 8.58 Writing a Linear Equation from a Table or Context skill assessments:

Problem 1Difficulty: Hard
A delivery route has 44 stops left after 2 neighborhoods, and the driver completes 7 stops in each neighborhood. Let S represent the number of stops left and n represent the number of neighborhoods. Which equation models the number of stops left?
AS = -7n + 30
BS = 7n + 30
CS = -7n + 44
DS = -7n + 58
Solution & Explanation:The number of stops left changes by -7 for each neighborhood, so the coefficient of n is -7. Use the point (2, 44): 44 = (-7)(2) + constant, so the constant term is 58. Therefore, S = -7n + 58.
Problem 2Difficulty: Hard
A scuba diver is 11 feet below sea level after 3 minutes and rises 2 feet each minute. Let D represent the diver's position relative to sea level and t represent the number of minutes. Which equation models the position?
AD = 2t - 11
BD = 2t - 5
CD = 2t - 17
DD = -2t - 5
Solution & Explanation:Use the given rate and one known point. With rate 2 and point (3, -11), solve -11 = 2(3) + constant to get a constant term of -17. So the correct equation is D = 2t - 17.
Problem 3Difficulty: Hard
A savings account balance is $82 after 3 weeks and grows by $5.50 each week. Let B represent the balance in dollars and w represent the number of weeks. Which equation models the balance?
AB = 5.5w + 98.5
BB = 5.5w + 65.5
CB = 5.5w + 82
DB = -5.5w + 98.5
Solution & Explanation:The relationship changes by 5.5 for each 1-unit increase in w. Plug in (3, 82) to find the intercept: 82 = (5.5)(3) + constant, so the constant term is 65.5. The model is B = 5.5w + 65.5.

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 8 Math students. It aligns with educational standard 8.F.B.4 (Primary standard selected for prompt fields: CCSS 8.F.B.4. Skill statement: Which linear equation correctly models the relationship described by the table or word problem? Associated standards listed with this skill: CCSS 8.F.B.4; CA 8.F.B.4; MA 8.F.B.4. Use this embedded wording as the best available supporting standard description for this workflow.).

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