✅ Average Rate of Change: Quick Check (F-IF.B.6)

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Calculate and interpret the average rate of change of a function over an interval. Work on your own. Then check your answers.

1. f(x) = 3x² − 2. Average rate of change from x = -2 to x = -1?

2. f(x) = 2x² + 1. Average rate of change from x = -3 to x = 0?

3. f(x) = 2x² − 4. Average rate of change from x = 2 to x = 6?

4. f(x) = x² − 2. Average rate of change from x = -2 to x = -1?

5. f(x) = 3x² + 3. Average rate of change from x = 0 to x = 2?

6. f(x) = 2x² − 2. Average rate of change from x = -2 to x = 2?

7. f(x) = 2x² + 0. Average rate of change from x = 1 to x = 5?

8. f(x) = x² − 4. Average rate of change from x = -3 to x = 1?

9. f(x) = 3x² − 2. Average rate of change from x = 0 to x = 4?

10. f(x) = 3x² + 1. Average rate of change from x = 0 to x = 1?

Score: ____ / 10 I can calculate and interpret the average rate of change of a function over an interval: ☐ yes ☐ almost ☐ not yet

Answer key: 1) -9 · 2) -6 · 3) 16 · 4) -3 · 5) 6 · 6) 0 · 7) 12 · 8) -2 · 9) 12 · 10) 3

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Worksheets › Grade 9 Math (Algebra I) › Average Rate of Change › Average Rate of Change

Grade 9 (ages 14–15)Numbers & mathsFree printable PDF

About this grade 9 worksheet

Free Grade 9 Algebra I math worksheet (Common Core F-IF.B.6): average rate of change — a ten-question quick check (quiz), with answer key. Skill: Calculate and interpret the average rate of change of a function over an interval. Level: Grade 9 — also suits Year 10 (UK).

For teachers: skills & standards

CCSS F-IF.B.6: Calculate and interpret the average rate of change of a function over an interval
Works as a morning-work page, a centre/station activity, homework or an early-finisher task.

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It is designed for Grade 9 (ages 14–15), but use it with any child who is ready.

What skills does it build?

Calculate and interpret the average rate of change of a function over an interval.

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More “Average Rate of Change” printables (f-if.b.6: calculate and interpret the average rate of change of a function over an interval)

Average Rate of Change: Practice A (F-IF.B.6) · Average Rate of Change: Practice B (F-IF.B.6) · Average Rate of Change: Mixed Practice & Reasoning (F-IF.B.6) · Average Rate of Change: Show Your Thinking (F-IF.B.6)

All 5 average rate of change sheets → · Grade 9 Math (Algebra I): all 10 skills → · All Common Core grades

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