Free Grade 3 What is Introducing Function Notation Word Problems in Examinations Quizzes
Free Grade 3 quizzes for What is Introducing Function Notation Word Problems in Examinations: 12 real questions with a full answer key and worked solutions. A function is a rule that turns an input into an output. The inverse function reverses it.
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35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify what is introducing function notation word problems in examinations
Identify what is introducing function notation word problems in examinations accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain what is introducing function notation word problems in examinations
Explain what is introducing function notation word problems in examinations accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate what is introducing function notation word problems in examinations
Calculate what is introducing function notation word problems in examinations accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare what is introducing function notation word problems in examinations
Compare what is introducing function notation word problems in examinations accurately in a familiar context.
Assessed by: Exit ticket of four short items
Prerequisites
Close these gaps first — each has its own free lesson, worksheet and quiz.
How What is Introducing Function Notation Word Problems in Examinations works
A function is a rule that turns an input into an output. The inverse function reverses it.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.f(x) = 3x − 3. Find f(4).[1]
- 2.f(x) = 6x − 5. Find f(-3).[1]
- 3.f(x) = 3x + 8. Find f(0).[1]
- 4.f(x) = 3x + 1. Find f(4).[1]
- 5.f(x) = 3x − 3. Find f(-4).[2]
- 6.f(x) = 5x − 4. Find f(1).[2]
- 7.f(x) = 6x − 1. Find f(-2).[2]
- 8.f(x) = 4x + 7. Find f(4).[2]
- 9.f(x) = 5x − 1. Find the inverse f⁻¹(x).[3]
- 10.f(x) = 3x − 6. Find the inverse f⁻¹(x).[3]
- 11.f(x) = 5x − 6. Find the inverse f⁻¹(x).[3]
- 12.f(x) = 6x − 4. Find the inverse f⁻¹(x).[3]
Show answers and working
1. 9
Replace x with 4: 3 × 4 − 3. = 9
2. -23
Replace x with -3: 6 × (-3) − 5. = -23
3. 8
Replace x with 0: 3 × 0 + 8. = 8
4. 13
Replace x with 4: 3 × 4 + 1. = 13
5. -15
Replace x with -4: 3 × (-4) − 3. = -15
6. 1
Replace x with 1: 5 × 1 − 4. = 1
7. -13
Replace x with -2: 6 × (-2) − 1. = -13
8. 23
Replace x with 4: 4 × 4 + 7. = 23
9. f⁻¹(x) = (x + 1) / 5
Write y = 5x − 1 and swap x and y. Rearrange for y: y = (x + 1) / 5.
10. f⁻¹(x) = (x + 6) / 3
Write y = 3x − 6 and swap x and y. Rearrange for y: y = (x + 6) / 3.
11. f⁻¹(x) = (x + 6) / 5
Write y = 5x − 6 and swap x and y. Rearrange for y: y = (x + 6) / 5.
12. f⁻¹(x) = (x + 4) / 6
Write y = 6x − 4 and swap x and y. Rearrange for y: y = (x + 4) / 6.
Worked examples
f(x) = 2x + 8. Find f(-4).
- Replace x with -4: 2 × (-4) + 8.
- = 0
- Answer: 0
f(x) = 2x − 8. Find f(1).
- Replace x with 1: 2 × 1 − 8.
- = -6
- Answer: -6
f(x) = 3x + 0. Find the inverse f⁻¹(x).
- Write y = 3x + 0 and swap x and y.
- Rearrange for y: y = (x − 0) / 3.
- Answer: f⁻¹(x) = (x − 0) / 3
Interactive practice
Free, no account required — answer on screen or print it.
Common mistakes
What learners typically get wrong, and how to fix it.
Reads f(3) as f × 3.
Correction: f(3) means 'put 3 into the rule'.
Reverses operations in the wrong order for the inverse.
Correction: Undo the last step first.
Teacher tips
- · Use function machines before notation.
Parent tips
- · Play 'guess my rule' with numbers.
Real-life applications
- · Converting temperatures, phone-plan costs.
Assessment objectives
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- Start with Working with Introducing Function Notation Word Problems. Each one has its own free lesson, worksheet and quiz.
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- Recognition first, then understanding, application, reasoning and finally mastery — the same ladder used across every free resource on the platform.
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- Move on to Introducing Function Notation Word Problems in Examinations: Step-by-step Method, Introducing Function Notation Word Problems in Examinations: Worked Examples, Introducing Function Notation Word Problems in Examinations: Visual Models, Introducing Function Notation Word Problems in Examinations: Common Mistakes, which build directly on this idea.
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