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💬 Writing Linear Functions: Word Problems (8.F.B.4)

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Construct a function to model a linear relationship (y = mx + b). Read each problem. Draw or write to solve. Label your answer.

1. A plumber charges $41 plus $20/hour. Write the cost C for h hours.
Work
Answer: ______________
2. x: 0, 1, 2, 3 → y: 2, 7, 12, 17. Equation?
Work
Answer: ______________
3. A plumber charges $43 plus $30/hour. Write the cost C for h hours.
Work
Answer: ______________
4. x: 0, 1, 2, 3 → y: 0, 3, 6, 9. Equation?
Work
Answer: ______________
5. A plumber charges $45 plus $10/hour. Write the cost C for h hours.
Work
Answer: ______________
6. x: 0, 1, 2, 3 → y: 4, 1, -2, -5. Equation?
Work
Answer: ______________
Answer key: 1) C = 20h + 41 · 2) y = 5x + 2 · 3) C = 30h + 43 · 4) y = 3x · 5) C = 10h + 45 · 6) y = -3x + 4
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Worksheets › Grade 8 Math › Writing Linear Functions › Writing Linear Functions

Grade 8 (ages 13–14)Numbers & mathsFree printable PDF

About this grade 8 worksheet

Free Grade 8 math worksheet (Common Core 8.F.B.4): writing linear functions — real-world word problems, with answer key. Skill: Construct a function to model a linear relationship (y = mx + b). Level: Grade 8 — also suits Year 9 (UK).

For teachers: skills & standards

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What age is it for?

It is designed for Grade 8 (ages 13–14), but use it with any child who is ready.

What skills does it build?

Construct a function to model a linear relationship (y = mx + b).

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More “Writing Linear Functions” printables (8.f.b.4: construct a function to model a linear relationship (y = mx + b))

Writing Linear Functions: Practice A (8.F.B.4) · Writing Linear Functions: Practice B (8.F.B.4) · Writing Linear Functions: Show Your Thinking (8.F.B.4) · Writing Linear Functions: Quick Check (8.F.B.4)

All 5 writing linear functions sheets → · Grade 8 Math: all 10 skills → · All Common Core grades

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