Functions Worksheets
Free printable functions worksheets with step-by-step answer keys. Every worksheet is uniquely generated so students never see the same problems twice. Topics covered range from evaluate f(x) = x + b at the easy level through to function composition f(g(x)) at the advanced level.
CCSS.8.FLK20.10
Difficulty Levels
Beginner
- Concepts
- Evaluate f(x) = x + b
- Number Range
- x: 1–10, b: 1–9
- Steps
- 1 step
- Example
- f(x) = x + 3, find f(5)
Easy
- Concepts
- Evaluate f(x) = ax ± b
- Number Range
- a: 2–5, b: 1–9, x: 2–10
- Steps
- 1 step
- Example
- f(x) = 3x + 2, find f(4)
Medium
- Concepts
- Evaluate f(x) = x² + b
- Number Range
- x: 2–6, b: 1–5
- Steps
- 2 steps
- Example
- f(x) = x² + 3, find f(4)
Hard
- Concepts
- Function composition f(g(x))
- Number Range
- a: 2–4, b: 1–6, x: 1–5
- Steps
- 2 steps
- Example
- f(x) = 3x − 1, g(x) = x + 4, find f(g(2))
Grade Availability
Functions worksheets are available for Grades 8–10. Problems are automatically adjusted to match grade-level expectations in number range, complexity, and notation.
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