Free Grade 3 Function Notation in Context Word Problems in Examinations: Worked Examples Quizzes
Free Grade 3 quizzes for Function Notation in Context Word Problems in Examinations: Worked Examples: 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.
- UnderstandExplain function notation in context word problems in examinations: worked examples
Explain function notation in context word problems in examinations: worked examples accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate function notation in context word problems in examinations: worked examples
Calculate function notation in context word problems in examinations: worked examples accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare function notation in context word problems in examinations: worked examples
Compare function notation in context word problems in examinations: worked examples accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify function notation in context word problems in examinations: worked examples
Justify function notation in context word problems in examinations: worked examples 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 Word Problems in Examinations: Worked Examples 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) = 5x + 2. Find f(5).[1]
- 2.f(x) = 6x + 1. Find f(-4).[1]
- 3.f(x) = 6x − 8. Find f(-4).[1]
- 4.f(x) = 4x + 6. Find f(0).[1]
- 5.f(x) = 6x + 4. Find f(-2).[2]
- 6.f(x) = 4x + 6. Find f(-4).[2]
- 7.f(x) = 6x + 1. Find f(6).[2]
- 8.f(x) = 4x − 7. Find f(4).[2]
- 9.f(x) = 3x + 7. Find the inverse f⁻¹(x).[3]
- 10.f(x) = 5x − 5. Find the inverse f⁻¹(x).[3]
- 11.f(x) = 4x − 7. Find the inverse f⁻¹(x).[3]
- 12.f(x) = 3x − 8. Find the inverse f⁻¹(x).[3]
Show answers and working
1. 27
Replace x with 5: 5 × 5 + 2. = 27
2. -23
Replace x with -4: 6 × (-4) + 1. = -23
3. -32
Replace x with -4: 6 × (-4) − 8. = -32
4. 6
Replace x with 0: 4 × 0 + 6. = 6
5. -8
Replace x with -2: 6 × (-2) + 4. = -8
6. -10
Replace x with -4: 4 × (-4) + 6. = -10
7. 37
Replace x with 6: 6 × 6 + 1. = 37
8. 9
Replace x with 4: 4 × 4 − 7. = 9
9. f⁻¹(x) = (x − 7) / 3
Write y = 3x + 7 and swap x and y. Rearrange for y: y = (x − 7) / 3.
10. f⁻¹(x) = (x + 5) / 5
Write y = 5x − 5 and swap x and y. Rearrange for y: y = (x + 5) / 5.
11. f⁻¹(x) = (x + 7) / 4
Write y = 4x − 7 and swap x and y. Rearrange for y: y = (x + 7) / 4.
12. f⁻¹(x) = (x + 8) / 3
Write y = 3x − 8 and swap x and y. Rearrange for y: y = (x + 8) / 3.
Worked examples
f(x) = 3x + 5. Find f(4).
- Replace x with 4: 3 × 4 + 5.
- = 17
- Answer: 17
f(x) = 2x + 2. Find f(4).
- Replace x with 4: 2 × 4 + 2.
- = 10
- Answer: 10
f(x) = 6x − 2. Find the inverse f⁻¹(x).
- Write y = 6x − 2 and swap x and y.
- Rearrange for y: y = (x + 2) / 6.
- Answer: f⁻¹(x) = (x + 2) / 6
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 Function Notation in Context Word Problems in Examinations: Step-by-step Method, What is Function Notation in Context Word Problems in Examinations, Working with Function Notation in Context Word Problems. Each one has its own free lesson, worksheet and quiz.
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- Move on to Function Notation in Context Word Problems in Examinations: Visual Models, Function Notation in Context Word Problems in Examinations: Common Mistakes, Function Notation in Context Word Problems in Examinations: Real-life Applications, Introduction to Function Notation in Context Word Problems, which build directly on this idea.
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