Free Grade 3 Function Notation in Context Word Problems in Examinations: Step-by-step Method Flashcards
Free Grade 3 flashcards for Function Notation in Context Word Problems in Examinations: Step-by-step Method: 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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Core
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify function notation in context word problems in examinations: step-by-step method
Identify function notation in context word problems in examinations: step-by-step method accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain function notation in context word problems in examinations: step-by-step method
Explain function notation in context word problems in examinations: step-by-step method accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate function notation in context word problems in examinations: step-by-step method
Calculate function notation in context word problems in examinations: step-by-step method accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare function notation in context word problems in examinations: step-by-step method
Compare function notation in context word problems in examinations: step-by-step method 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: Step-by-step Method 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 − 7. Find f(6).[1]
- 2.f(x) = 6x + 6. Find f(3).[1]
- 3.f(x) = 5x − 2. Find f(4).[1]
- 4.f(x) = 4x − 2. Find f(5).[1]
- 5.f(x) = 2x + 3. Find f(2).[2]
- 6.f(x) = 2x + 8. Find f(6).[2]
- 7.f(x) = 2x − 5. Find f(2).[2]
- 8.f(x) = 5x − 1. Find f(-4).[2]
- 9.f(x) = 6x + 1. Find the inverse f⁻¹(x).[3]
- 10.f(x) = 3x + 7. Find the inverse f⁻¹(x).[3]
- 11.f(x) = 2x + 1. Find the inverse f⁻¹(x).[3]
- 12.f(x) = 6x − 5. Find the inverse f⁻¹(x).[3]
Show answers and working
1. 11
Replace x with 6: 3 × 6 − 7. = 11
2. 24
Replace x with 3: 6 × 3 + 6. = 24
3. 18
Replace x with 4: 5 × 4 − 2. = 18
4. 18
Replace x with 5: 4 × 5 − 2. = 18
5. 7
Replace x with 2: 2 × 2 + 3. = 7
6. 20
Replace x with 6: 2 × 6 + 8. = 20
7. -1
Replace x with 2: 2 × 2 − 5. = -1
8. -21
Replace x with -4: 5 × (-4) − 1. = -21
9. f⁻¹(x) = (x − 1) / 6
Write y = 6x + 1 and swap x and y. Rearrange for y: y = (x − 1) / 6.
10. f⁻¹(x) = (x − 7) / 3
Write y = 3x + 7 and swap x and y. Rearrange for y: y = (x − 7) / 3.
11. f⁻¹(x) = (x − 1) / 2
Write y = 2x + 1 and swap x and y. Rearrange for y: y = (x − 1) / 2.
12. f⁻¹(x) = (x + 5) / 6
Write y = 6x − 5 and swap x and y. Rearrange for y: y = (x + 5) / 6.
Worked examples
f(x) = 4x + 1. Find f(1).
- Replace x with 1: 4 × 1 + 1.
- = 5
- Answer: 5
f(x) = 5x + 1. Find f(5).
- Replace x with 5: 5 × 5 + 1.
- = 26
- Answer: 26
f(x) = 5x − 8. Find the inverse f⁻¹(x).
- Write y = 5x − 8 and swap x and y.
- Rearrange for y: y = (x + 8) / 5.
- Answer: f⁻¹(x) = (x + 8) / 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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