Free Grade 3 What is Introduction to Function Notation in Context Essentials — Mastery Quizzes
Free Grade 3 quizzes for What is Introduction to Function Notation in Context Essentials — 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.
Free
Foundation
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain what is introduction to function notation in context essentials — mastery
Explain what is introduction to function notation in context essentials — mastery accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate what is introduction to function notation in context essentials — mastery
Calculate what is introduction to function notation in context essentials — mastery accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare what is introduction to function notation in context essentials — mastery
Compare what is introduction to function notation in context essentials — mastery accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify what is introduction to function notation in context essentials — mastery
Justify what is introduction to function notation in context essentials — 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 Introduction to Function Notation in Context Essentials — 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 − 8. Find f(-1).[1]
- 2.f(x) = 6x + 0. Find f(-1).[1]
- 3.f(x) = 6x + 7. Find f(-4).[1]
- 4.f(x) = 6x − 5. Find f(1).[1]
- 5.f(x) = 5x − 8. Find f(0).[2]
- 6.f(x) = 3x + 3. Find f(0).[2]
- 7.f(x) = 6x − 2. Find f(2).[2]
- 8.f(x) = 2x − 8. Find f(3).[2]
- 9.f(x) = 3x − 7. Find the inverse f⁻¹(x).[3]
- 10.f(x) = 6x + 4. Find the inverse f⁻¹(x).[3]
- 11.f(x) = 2x + 2. Find the inverse f⁻¹(x).[3]
- 12.f(x) = 5x − 2. Find the inverse f⁻¹(x).[3]
Show answers and working
1. -13
Replace x with -1: 5 × (-1) − 8. = -13
2. -6
Replace x with -1: 6 × (-1) + 0. = -6
3. -17
Replace x with -4: 6 × (-4) + 7. = -17
4. 1
Replace x with 1: 6 × 1 − 5. = 1
5. -8
Replace x with 0: 5 × 0 − 8. = -8
6. 3
Replace x with 0: 3 × 0 + 3. = 3
7. 10
Replace x with 2: 6 × 2 − 2. = 10
8. -2
Replace x with 3: 2 × 3 − 8. = -2
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 − 4) / 6
Write y = 6x + 4 and swap x and y. Rearrange for y: y = (x − 4) / 6.
11. f⁻¹(x) = (x − 2) / 2
Write y = 2x + 2 and swap x and y. Rearrange for y: y = (x − 2) / 2.
12. f⁻¹(x) = (x + 2) / 5
Write y = 5x − 2 and swap x and y. Rearrange for y: y = (x + 2) / 5.
Worked examples
f(x) = 5x + 6. Find f(-4).
- Replace x with -4: 5 × (-4) + 6.
- = -14
- Answer: -14
f(x) = 4x − 8. Find f(4).
- Replace x with 4: 4 × 4 − 8.
- = 8
- Answer: 8
f(x) = 3x − 1. Find the inverse f⁻¹(x).
- Write y = 3x − 1 and swap x and y.
- Rearrange for y: y = (x + 1) / 3.
- Answer: f⁻¹(x) = (x + 1) / 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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Frequently asked
- Is this Grade 3 What is Introduction to Function Notation in Context Essentials — Mastery quiz really free?
- Yes. Every quizzes on FreeMathWorksheet is free to use, print and share — no account, no paywall and no watermark.
- What should a learner already know before this?
- Start with What is Introduction to Function Notation in Context Essentials — Reasoning, What is Introduction to Function Notation in Context Essentials — Application, Working with Function Notation. Each one has its own free lesson, worksheet and quiz.
- How is the quiz sequenced?
- Recognition first, then understanding, application, reasoning and finally mastery — the same ladder used across every free resource on the platform.
- What comes next after What is Introduction to Function Notation in Context Essentials — Mastery?
- Move on to Introduction to Function Notation in Context Essentials: Step-by-step Method, Introduction to Function Notation in Context Essentials: Worked Examples, Introduction to Function Notation in Context Essentials: Visual Models, Introduction to Function Notation in Context Essentials: Common Mistakes, which build directly on this idea.
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