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Grade 9 · Math · Algebra 1

9th grade Function notation: read and evaluate f(x), including f(x + 2) and f(2x) worksheet

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Function notation: read and evaluate f(x), including f(x + 2) and f(2x)

Grade 9 Math Worksheet - Challenge Me

NameDate

Circle the best answer, or write your answer on the line.

  1. Esme's pencil shop uses the rule f(x) = 2x − 5. What is f(x + 3) with no parentheses and like terms combined?

  2. Jun's bell game uses the rule f(x) = 4x + 1. What is f(x − 2) with no parentheses and like terms combined?

  3. Kira's drum game uses the rule f(x) = 5x − 3. What is f(x − 1) with no parentheses and like terms combined?

  4. Luz has the rule f(x) = 2x + 5. What is f(3x) with no parentheses and like terms combined?

  5. Milo has the rule f(x) = 4x − 3. What is f(2x) with no parentheses and like terms combined?

  6. Noah has the rule f(x) = x² − 5. What is f(2x) with no parentheses and like terms combined?

  7. Ren's ladder game follows f(x) = cx + 6, and f(2) = 20. What is c?

  8. Tala's kite climbs by f(x) = cx + 6, and f(3) = 21. What is c?

  9. Zee's sled run follows f(x) = cx + 4, and f(4) = 28. What is c?

  10. Ari's tree grows by f(x) = cx + 8, and f(2) = 14. What is c?

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9th grade Function notation: read and evaluate f(x), including f(x + 2) and f(2x) worksheet – printable
Print: 123456

About this worksheet

Function notation. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can read f(4) = 9 as "input 4, output 9" and find it in a table.
  • I can put a number, including a negative one, into a rule and work out f of it.
  • I can put x + 4 or 2x into a rule and write the result with no brackets.

Standard: F-IF.A.2, F-IF.A.1

Words to know

function notation: f(4) means the output of f when the input is 4.

input: The number in the brackets, f(input).

output: What comes out of the rule, the number after the equals sign.

evaluate: Put a number in for x and work out the output.

expression input: An input like x + 4 or 2x instead of a number.

Common mistakes

Your child counted rows from the top instead of looking for the input.

Your child gave the number of the row instead of its input.

Your child gave the output when the question asked for the input.

What to say

Ask: which number in the first column is the same as the number in the brackets?

Ask: which number goes into the machine, and which number comes out?

Ask: in f(x) = 14, which number is the output and which one are we looking for?

Questions parents ask

What is the most common mistake with function notation: read and evaluate f(x), including f(x + 2) and f(2x)?

Your child counted rows from the top instead of looking for the input.

How can I help my child with function notation: read and evaluate f(x), including f(x + 2) and f(2x)?

Ask: which number in the first column is the same as the number in the brackets?

Are these 9th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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