Free Grade 3 What is Rules and Methods in Function Notation in Context Essentials — Reasoning Quizzes
Free Grade 3 quizzes for What is Rules and Methods in Function Notation in Context Essentials — Reasoning: 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
Stretch
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify what is rules and methods in function notation in context essentials — reasoning
Identify what is rules and methods in function notation in context essentials — reasoning accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain what is rules and methods in function notation in context essentials — reasoning
Explain what is rules and methods in function notation in context essentials — reasoning accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate what is rules and methods in function notation in context essentials — reasoning
Calculate what is rules and methods in function notation in context essentials — reasoning accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare what is rules and methods in function notation in context essentials — reasoning
Compare what is rules and methods in function notation in context essentials — reasoning 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 Rules and Methods in Function Notation in Context Essentials — Reasoning 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 − 4. Find f(3).[1]
- 2.f(x) = 5x + 5. Find f(0).[1]
- 3.f(x) = 3x − 6. Find f(1).[1]
- 4.f(x) = 4x + 7. Find f(2).[1]
- 5.f(x) = 5x − 4. Find f(0).[2]
- 6.f(x) = 2x − 5. Find f(-4).[2]
- 7.f(x) = 5x + 5. Find f(5).[2]
- 8.f(x) = 4x + 3. Find f(-2).[2]
- 9.f(x) = 6x − 3. Find the inverse f⁻¹(x).[3]
- 10.f(x) = 2x + 2. Find the inverse f⁻¹(x).[3]
- 11.f(x) = 2x − 6. Find the inverse f⁻¹(x).[3]
- 12.f(x) = 2x + 5. Find the inverse f⁻¹(x).[3]
Show answers and working
1. 5
Replace x with 3: 3 × 3 − 4. = 5
2. 5
Replace x with 0: 5 × 0 + 5. = 5
3. -3
Replace x with 1: 3 × 1 − 6. = -3
4. 15
Replace x with 2: 4 × 2 + 7. = 15
5. -4
Replace x with 0: 5 × 0 − 4. = -4
6. -13
Replace x with -4: 2 × (-4) − 5. = -13
7. 30
Replace x with 5: 5 × 5 + 5. = 30
8. -5
Replace x with -2: 4 × (-2) + 3. = -5
9. f⁻¹(x) = (x + 3) / 6
Write y = 6x − 3 and swap x and y. Rearrange for y: y = (x + 3) / 6.
10. f⁻¹(x) = (x − 2) / 2
Write y = 2x + 2 and swap x and y. Rearrange for y: y = (x − 2) / 2.
11. f⁻¹(x) = (x + 6) / 2
Write y = 2x − 6 and swap x and y. Rearrange for y: y = (x + 6) / 2.
12. f⁻¹(x) = (x − 5) / 2
Write y = 2x + 5 and swap x and y. Rearrange for y: y = (x − 5) / 2.
Worked examples
f(x) = 2x + 7. Find f(2).
- Replace x with 2: 2 × 2 + 7.
- = 11
- Answer: 11
f(x) = 2x − 3. Find f(-3).
- Replace x with -3: 2 × (-3) − 3.
- = -9
- Answer: -9
f(x) = 4x + 2. Find the inverse f⁻¹(x).
- Write y = 4x + 2 and swap x and y.
- Rearrange for y: y = (x − 2) / 4.
- Answer: f⁻¹(x) = (x − 2) / 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.
Assessment objectives
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Frequently asked
- Is this Grade 3 What is Rules and Methods in Function Notation in Context Essentials — Reasoning quiz really free?
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- Start with What is Rules and Methods in Function Notation in Context Essentials — Application, What is Rules and Methods in Function Notation in Context Essentials — Understanding, Key Vocabulary of Function Notation in Context Essentials. Each one has its own free lesson, worksheet and quiz.
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- Move on to What is Rules and Methods in Function Notation in Context Essentials — Mastery, Rules and Methods in Function Notation in Context Essentials: Step-by-step Method, Rules and Methods in Function Notation in Context Essentials: Worked Examples, Rules and Methods in Function Notation in Context Essentials: Visual Models, which build directly on this idea.
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