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🧠 Writing Linear Functions: Show Your Thinking (8.F.B.4)

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Construct a function to model a linear relationship (y = mx + b). Solve each problem and show your work.

1. Line with slope 3 through (2, -2). Equation?
Show your work
2. x: 0, 1, 2, 3 → y: 4, 9, 14, 19. Equation?
Show your work
3. Line with slope 1 through (2, -5). Equation?
Show your work
4. x: 0, 1, 2, 3 → y: -5, 1, 7, 13. Equation?
Show your work
5. Line with slope -5 through (2, -5). Equation?
Show your work
6. x: 0, 1, 2, 3 → y: -2, -7, -12, -17. Equation?
Show your work

Explain: How did you solve problem 1? Could you check it another way?

Answer key: 1) y = 3x − 8 · 2) y = 5x + 4 · 3) y = x − 7 · 4) y = 6x − 5 · 5) y = -5x + 5 · 6) y = -5x − 2
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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 — problems with space to show work and explain reasoning, 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: Word Problems (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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