Function Notation - Worksheet 9 - 9th Grade

Hard

Use and evaluate function notation f(x) (Hard)

30 problems · 15-20 minutes · Skills: functions, notation, evaluation

About This Worksheet

This hard-level worksheet contains 30 problems designed for 9th Grade students practicing function notation. Hard worksheets feature challenging problems including multi-step questions, missing values, and real-world applications to push students further.

Function notation is the professional language of mathematics. Once students internalize it, they can communicate about functions precisely and read mathematical texts, science equations, and programming documentation that all use this notation.

  • Evaluate f(x) for given input values
  • Interpret f(a) = b as meaning the input a produces output b
  • Use function notation to describe transformations and compositions
  • Find the value of x when f(x) equals a given output by solving an equation
  • Evaluate a function at an algebraic expression such as f(x + 1) or f(2x)

How to Solve: Worked Example

Example Problem: Solve the first problem on the worksheet.
Solution Steps:
  1. Read the problem carefully.
  2. Identify what is being asked.
  3. Use what you know to find the answer.
  4. Check your work.
Answer: See the answer key below
Tip: Take your time and read each problem carefully before answering!
1
7 + 7 =
2
18 + 20 =
3
14 + 2 =
4
19 + 18 =
5
11 + 9 =
6
5 + 8 =
7
6 + 18 =
8
11 + 12 =
9
9 + 10 =
10
11 + 1 =
11
16 + 4 =
12
17 + 9 =
13
5 + 8 =
14
15 + 14 =
15
15 + 8 =
16
13 + 15 =
17
20 + 5 =
18
4 + 16 =
19
13 + 4 =
20
9 + 15 =
21
6 + 18 =
22
7 + 18 =
23
4 + 4 =
24
2 + 18 =
25
1 + 16 =
26
10 + 7 =
27
6 + 12 =
28
4 + 4 =
29
12 + 12 =
30
12 + 15 =

Answer Key

1. 142. 383. 164. 375. 206. 137. 248. 239. 1910. 1211. 2012. 2613. 1314. 2915. 2316. 2817. 2518. 2019. 1720. 2421. 2422. 2523. 824. 2025. 1726. 1727. 1828. 829. 2430. 27

Frequently Asked Questions

How do I download this function notation - worksheet 9 worksheet?

Click the "Download PDF / Print" button at the top of the worksheet. You can save it as a PDF or print it directly. The answer key will be on a separate page.

How do I find worksheets at different difficulty levels?

Each subtopic has 10 worksheets: Worksheets 1-3 are Easy, 4-7 are Medium, and 8-10 are Hard. Start with Easy worksheets to build confidence, then progress to harder ones.

What skills does this functions & relations worksheet cover?

This worksheet focuses on functions, notation, evaluation. It is designed for 9th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.

Can I use this worksheet in my classroom?

Yes. All worksheets on K12Worksheets are free for classroom use. You can print copies for your entire class. With 10 worksheets per subtopic at three difficulty levels, you have plenty of options for differentiated instruction and individualized practice.

How many problems are on this worksheet?

This worksheet contains 30 problems. It typically takes 15-20 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.