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Worksheets›Algebra 1›Linear functions & sequences›Evaluating functions

Evaluating Functions Worksheets

Free printable worksheets with answer keys. Pick a level, preview the questions, then open the sheet to swap or delete any single question.

Algebra 1CCSS HSF.IF.A.2Answer key includedPDF · Print
Open in generatorStart with an easy sheet

Easy: Linear functions

  1. 1.f(x) = 3x − 2, f(10) =
  2. 2.f(x) = −2x + 12, f(1) =
  3. 3.f(x) = 3x − 12, f(8) =
  4. 4.f(x) = 7x − 4, f(−3) =
  5. 5.f(x) = 8x + 4, f(−3) =
  6. 6.f(x) = x + 5, f(−1) =
Preview shows 6 of 12 questions. Every sheet is new; open it to change any question.

Worksheet variations

f(3) means 'replace every x with 3'. Put the input in parentheses, especially when it is negative, then follow the order of operations.

Easyf(x) = 6x − 5, f(−4) = Linear functionsMediumf(x) = −2x2 + 2x + 2, f(3) = Quadratic functionsHardf(x) = 2x2 + 2x − 6, f(−5) = Quadratics with negative inputs

How to solve it: a worked example

Evaluate each function for the given input.

  1. Startf(x) = −8x − 4, f(−2) =
  2. Substitutef(−2) = −8(−2) − 4
  3. Multiply= 16 − 4
  4. Then= 12
  5. Answer12

Common mistakes to watch for

  • Reading f(3) as f times 3.
  • Squaring a negative input without parentheses: (−2)² = 4, not −4.
  • Substituting into only the first x.

Tip: tick “Step-by-step answer key” in the generator to print each step for marking.

Related worksheets

Slope-intercept formParallel and perpendicular linesArithmetic and geometric sequencesMulti-step inequalitiesAbsolute value equations

FAQ

Is every worksheet different?

Yes. Numbers are generated each time, and the answer key is calculated for that sheet. Swap any single question and its answer updates too.

Can I mix evaluating functions with other skills?

Yes. In the generator, add more skills; each gets its own section on the sheet with its own instructions.

Is it free to print?

Yes. Generating and printing from the browser is free with no sign-up. PDF downloads need a free account.