Free Grade 3 Introduction to Working with Function Notation Techniques: Worked Examples Quizzes
Free Grade 3 quizzes for Introduction to Working with Function Notation Techniques: 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
Foundation
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain introduction to working with function notation techniques: worked examples
Explain introduction to working with function notation techniques: worked examples accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introduction to working with function notation techniques: worked examples
Calculate introduction to working with function notation techniques: worked examples accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introduction to working with function notation techniques: worked examples
Compare introduction to working with function notation techniques: worked examples accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introduction to working with function notation techniques: worked examples
Justify introduction to working with function notation techniques: 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 Introduction to Working with Function Notation Techniques: 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) = 6x − 4. Find f(4).[1]
- 2.f(x) = 3x − 2. Find f(-4).[1]
- 3.f(x) = 3x + 8. Find f(-4).[1]
- 4.f(x) = 4x + 7. Find f(-3).[1]
- 5.f(x) = 2x + 4. Find f(-1).[2]
- 6.f(x) = 5x + 2. Find f(3).[2]
- 7.f(x) = 3x − 2. Find f(-3).[2]
- 8.f(x) = 4x + 1. Find f(-4).[2]
- 9.f(x) = 6x − 2. Find the inverse f⁻¹(x).[3]
- 10.f(x) = 4x − 7. Find the inverse f⁻¹(x).[3]
- 11.f(x) = 5x − 3. Find the inverse f⁻¹(x).[3]
- 12.f(x) = 6x − 5. Find the inverse f⁻¹(x).[3]
Show answers and working
1. 20
Replace x with 4: 6 × 4 − 4. = 20
2. -14
Replace x with -4: 3 × (-4) − 2. = -14
3. -4
Replace x with -4: 3 × (-4) + 8. = -4
4. -5
Replace x with -3: 4 × (-3) + 7. = -5
5. 2
Replace x with -1: 2 × (-1) + 4. = 2
6. 17
Replace x with 3: 5 × 3 + 2. = 17
7. -11
Replace x with -3: 3 × (-3) − 2. = -11
8. -15
Replace x with -4: 4 × (-4) + 1. = -15
9. f⁻¹(x) = (x + 2) / 6
Write y = 6x − 2 and swap x and y. Rearrange for y: y = (x + 2) / 6.
10. f⁻¹(x) = (x + 7) / 4
Write y = 4x − 7 and swap x and y. Rearrange for y: y = (x + 7) / 4.
11. f⁻¹(x) = (x + 3) / 5
Write y = 5x − 3 and swap x and y. Rearrange for y: y = (x + 3) / 5.
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) = 5x + 2. Find f(-1).
- Replace x with -1: 5 × (-1) + 2.
- = -3
- Answer: -3
f(x) = 6x + 8. Find f(2).
- Replace x with 2: 6 × 2 + 8.
- = 20
- Answer: 20
f(x) = 3x − 4. Find the inverse f⁻¹(x).
- Write y = 3x − 4 and swap x and y.
- Rearrange for y: y = (x + 4) / 3.
- Answer: f⁻¹(x) = (x + 4) / 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
How mastery is evidenced, and which standards it maps to.
Every free resource for Introduction to Working with Function Notation Techniques: Worked Examples
One concept, one ecosystem — all of it free.
Goes deeper
The entities below this one, each with the same complete free resource set.
Sibling concepts
Related concepts
Lateral links, including across subjects.
Next topics
All free formats for this concept
Every kind below is a real page, generated from this entity.
Learn — Meet the idea.
Practice — Build fluency.
Revise — Keep it in memory.
Assess — Prove mastery.
Apply — Use it in context.
Teach — Deliver it to a class.
Frequently asked
- Is this Grade 3 Introduction to Working with Function Notation Techniques: Worked Examples 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 Introduction to Working with Function Notation Techniques: Step-by-step Method, What is Introduction to Working with Function Notation Techniques, Working with Function Notation Essentials. 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 Introduction to Working with Function Notation Techniques: Worked Examples?
- Move on to Introduction to Working with Function Notation Techniques: Visual Models, Introduction to Working with Function Notation Techniques: Common Mistakes, Introduction to Working with Function Notation Techniques: Real-life Applications, Key Vocabulary of Working with Function Notation Techniques, which build directly on this idea.
Related resources
- Free Introduction to Working with Function Notation Techniques: Worked Examples worksheets
- Free Introduction to Working with Function Notation Techniques: Worked Examples flashcards
- Free Introduction to Working with Function Notation Techniques: Worked Examples lessons
- Free Introduction to Working with Function Notation Techniques: Worked Examples lesson plans
- Introduction to Working with Function Notation Techniques: Worked Examples in the knowledge graph
- Free AI Tutor
Stuck on Introduction to Working with Function Notation Techniques: Worked Examples? The AI Tutor already knows this page, its prerequisites and its common mistakes.
Open the free AI Tutor