Free Grade 3 What is Introducing Function Notation Word Problems in Examinations — Mastery Flashcards
Free Grade 3 flashcards for What is Introducing Function Notation Word Problems in Examinations — Mastery: 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
25 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 — mastery
Identify what is introducing function notation word problems in examinations — mastery accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain what is introducing function notation word problems in examinations — mastery
Explain what is introducing function notation word problems in examinations — mastery accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate what is introducing function notation word problems in examinations — mastery
Calculate what is introducing function notation word problems in examinations — mastery accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare what is introducing function notation word problems in examinations — mastery
Compare what is introducing function notation word problems in examinations — mastery 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 — Mastery 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 + 7. Find f(-2).[1]
- 2.f(x) = 4x + 8. Find f(-3).[1]
- 3.f(x) = 4x + 7. Find f(5).[1]
- 4.f(x) = 6x − 7. Find f(4).[1]
- 5.f(x) = 4x + 6. Find f(1).[2]
- 6.f(x) = 4x − 2. Find f(-1).[2]
- 7.f(x) = 4x + 8. Find f(4).[2]
- 8.f(x) = 2x + 8. Find f(6).[2]
- 9.f(x) = 4x + 8. Find the inverse f⁻¹(x).[3]
- 10.f(x) = 2x − 3. Find the inverse f⁻¹(x).[3]
- 11.f(x) = 3x − 8. Find the inverse f⁻¹(x).[3]
- 12.f(x) = 5x + 0. Find the inverse f⁻¹(x).[3]
Show answers and working
1. -3
Replace x with -2: 5 × (-2) + 7. = -3
2. -4
Replace x with -3: 4 × (-3) + 8. = -4
3. 27
Replace x with 5: 4 × 5 + 7. = 27
4. 17
Replace x with 4: 6 × 4 − 7. = 17
5. 10
Replace x with 1: 4 × 1 + 6. = 10
6. -6
Replace x with -1: 4 × (-1) − 2. = -6
7. 24
Replace x with 4: 4 × 4 + 8. = 24
8. 20
Replace x with 6: 2 × 6 + 8. = 20
9. f⁻¹(x) = (x − 8) / 4
Write y = 4x + 8 and swap x and y. Rearrange for y: y = (x − 8) / 4.
10. f⁻¹(x) = (x + 3) / 2
Write y = 2x − 3 and swap x and y. Rearrange for y: y = (x + 3) / 2.
11. f⁻¹(x) = (x + 8) / 3
Write y = 3x − 8 and swap x and y. Rearrange for y: y = (x + 8) / 3.
12. f⁻¹(x) = (x − 0) / 5
Write y = 5x + 0 and swap x and y. Rearrange for y: y = (x − 0) / 5.
Worked examples
f(x) = 2x + 8. Find f(1).
- Replace x with 1: 2 × 1 + 8.
- = 10
- Answer: 10
f(x) = 6x − 1. Find f(1).
- Replace x with 1: 6 × 1 − 1.
- = 5
- Answer: 5
f(x) = 4x − 3. Find the inverse f⁻¹(x).
- Write y = 4x − 3 and swap x and y.
- Rearrange for y: y = (x + 3) / 4.
- Answer: f⁻¹(x) = (x + 3) / 4
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.
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- Start with What is Introducing Function Notation Word Problems in Examinations — Reasoning, What is Introducing Function Notation Word Problems in Examinations — Application, Working with Introducing Function Notation Word Problems. Each one has its own free lesson, worksheet and quiz.
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