Free Grade 3 Function Notation in Context Essentials in Examinations: Common Mistakes Worksheets
Free Grade 3 worksheets for Function Notation in Context Essentials in Examinations: Common Mistakes: 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.
Free
Higher
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify function notation in context essentials in examinations: common mistakes
Identify function notation in context essentials in examinations: common mistakes accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain function notation in context essentials in examinations: common mistakes
Explain function notation in context essentials in examinations: common mistakes accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate function notation in context essentials in examinations: common mistakes
Calculate function notation in context essentials in examinations: common mistakes accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare function notation in context essentials in examinations: common mistakes
Compare function notation in context essentials in examinations: common mistakes 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 Function Notation in Context Essentials in Examinations: Common Mistakes 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) = 2x − 4. Find f(3).[1]
- 2.f(x) = 5x + 0. Find f(-1).[1]
- 3.f(x) = 5x + 2. Find f(5).[1]
- 4.f(x) = 5x + 1. Find f(0).[1]
- 5.f(x) = 6x − 8. Find f(2).[2]
- 6.f(x) = 2x + 6. Find f(5).[2]
- 7.f(x) = 2x + 4. Find f(-3).[2]
- 8.f(x) = 2x + 7. Find f(-2).[2]
- 9.f(x) = 4x + 6. Find the inverse f⁻¹(x).[3]
- 10.f(x) = 2x + 5. Find the inverse f⁻¹(x).[3]
- 11.f(x) = 2x − 5. Find the inverse f⁻¹(x).[3]
- 12.f(x) = 4x − 5. Find the inverse f⁻¹(x).[3]
Show answers and working
1. 2
Replace x with 3: 2 × 3 − 4. = 2
2. -5
Replace x with -1: 5 × (-1) + 0. = -5
3. 27
Replace x with 5: 5 × 5 + 2. = 27
4. 1
Replace x with 0: 5 × 0 + 1. = 1
5. 4
Replace x with 2: 6 × 2 − 8. = 4
6. 16
Replace x with 5: 2 × 5 + 6. = 16
7. -2
Replace x with -3: 2 × (-3) + 4. = -2
8. 3
Replace x with -2: 2 × (-2) + 7. = 3
9. f⁻¹(x) = (x − 6) / 4
Write y = 4x + 6 and swap x and y. Rearrange for y: y = (x − 6) / 4.
10. f⁻¹(x) = (x − 5) / 2
Write y = 2x + 5 and swap x and y. Rearrange for y: y = (x − 5) / 2.
11. f⁻¹(x) = (x + 5) / 2
Write y = 2x − 5 and swap x and y. Rearrange for y: y = (x + 5) / 2.
12. f⁻¹(x) = (x + 5) / 4
Write y = 4x − 5 and swap x and y. Rearrange for y: y = (x + 5) / 4.
Worked examples
f(x) = 6x + 5. Find f(-3).
- Replace x with -3: 6 × (-3) + 5.
- = -13
- Answer: -13
f(x) = 4x − 8. Find f(-2).
- Replace x with -2: 4 × (-2) − 8.
- = -16
- Answer: -16
f(x) = 5x − 3. Find the inverse f⁻¹(x).
- Write y = 5x − 3 and swap x and y.
- Rearrange for y: y = (x + 3) / 5.
- Answer: f⁻¹(x) = (x + 3) / 5
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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Frequently asked
- Is this Grade 3 Function Notation in Context Essentials in Examinations: Common Mistakes worksheet really free?
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- What should a learner already know before this?
- Start with Function Notation in Context Essentials in Examinations: Visual Models, Function Notation in Context Essentials in Examinations: Worked Examples, Working with Function Notation in Context Essentials. 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.
- What comes next after Function Notation in Context Essentials in Examinations: Common Mistakes?
- Move on to Function Notation in Context Essentials in Examinations: Real-life Applications, Introduction to Function Notation in Context Essentials, Key Vocabulary of Function Notation in Context Essentials, Rules and Methods in Function Notation in Context Essentials, which build directly on this idea.
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