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

8.106 Constructing a Linear Function from a Real World 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 8.106 Constructing a Linear Function from a Real World Context. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.106 Constructing a Linear Function from a Real-World Context - Which linear function (equation, table, or graph) correctly models the real-world situation described? (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

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Below are sample questions representative of the exercises included on this worksheet and related 8.106 Constructing a Linear Function from a Real World Context skill assessments:

Problem 1Difficulty: Hard
A concert costs $51 for 3 tickets and $87 for 7 tickets. Let C represent total cost in dollars and t represent tickets. Which table shows the correct starting value and constant rate of change?
At: 0, 1, 2, 3; C: 33, 42, 51, 60
Bt: 0, 1, 2, 3; C: 24, 15, 6, -3
Ct: 0, 1, 2, 3; C: 24, 34, 44, 54
Dt: 0, 1, 2, 3; C: 24, 33, 42, 51
Solution & Explanation:The slope is (87 - 51) / (7 - 3) = 9. Using one of the points gives b = 24, so the model is C = 9t + 24. The correct table follows this equation.
Problem 2Difficulty: Hard
A lake depth decreases by 1.25 feet each hour. After 2 hours, the depth is 8.5 feet. Let D represent depth in feet and h represent hours. Which points belong to the graph of the linear model?
A(0, 9.75), (2, 7.25), (4, 4.75)
B(0, 11), (2, 13.5), (4, 16)
C(0, 11), (2, 8.5), (4, 6)
D(0, 11), (2, 8), (4, 5)
Solution & Explanation:The rate of change is -1.25. Using 8.5 when h = 2, solve 8.5 = -1.25(2) + b to get b = 11. So the model is D = -1.25h + 11. The correct ordered pairs lie on this equation.
Problem 3Difficulty: Hard
A concession total starts at $4.50 and increases by $13.50 for every 3 snacks bought. Let C represent total cost in dollars and s represent snacks. Which linear function represents this relationship?
AC = 4.5s + 9
BC = 4.5s + 4.5
CC = -4.5s + 4.5
DC = 5s + 4.5
Solution & Explanation:The rate per 1 unit is 13.5 / 3 = 4.5. With initial value 4.5, the model is C = 4.5s + 4.5.

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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 function (equation, table, or graph) correctly models the real-world situation described? 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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