Free Grade 3 Rules and Methods in Function Notation in Context Word Problems: Visual Models Quizzes
Free Grade 3 quizzes for Rules and Methods in Function Notation in Context Word Problems: Visual Models: 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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25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify rules and methods in function notation in context word problems: visual models
Identify rules and methods in function notation in context word problems: visual models accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain rules and methods in function notation in context word problems: visual models
Explain rules and methods in function notation in context word problems: visual models accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate rules and methods in function notation in context word problems: visual models
Calculate rules and methods in function notation in context word problems: visual models accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare rules and methods in function notation in context word problems: visual models
Compare rules and methods in function notation in context word problems: visual models 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 Rules and Methods in Function Notation in Context Word Problems: Visual Models 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 − 5. Find f(3).[1]
- 2.f(x) = 4x − 1. Find f(1).[1]
- 3.f(x) = 4x + 6. Find f(5).[1]
- 4.f(x) = 3x + 1. Find f(5).[1]
- 5.f(x) = 5x − 8. Find f(-1).[2]
- 6.f(x) = 4x + 0. Find f(-1).[2]
- 7.f(x) = 6x − 2. Find f(1).[2]
- 8.f(x) = 6x − 4. Find f(3).[2]
- 9.f(x) = 5x + 0. Find the inverse f⁻¹(x).[3]
- 10.f(x) = 5x + 4. Find the inverse f⁻¹(x).[3]
- 11.f(x) = 5x − 8. Find the inverse f⁻¹(x).[3]
- 12.f(x) = 5x + 2. Find the inverse f⁻¹(x).[3]
Show answers and working
1. 10
Replace x with 3: 5 × 3 − 5. = 10
2. 3
Replace x with 1: 4 × 1 − 1. = 3
3. 26
Replace x with 5: 4 × 5 + 6. = 26
4. 16
Replace x with 5: 3 × 5 + 1. = 16
5. -13
Replace x with -1: 5 × (-1) − 8. = -13
6. -4
Replace x with -1: 4 × (-1) + 0. = -4
7. 4
Replace x with 1: 6 × 1 − 2. = 4
8. 14
Replace x with 3: 6 × 3 − 4. = 14
9. f⁻¹(x) = (x − 0) / 5
Write y = 5x + 0 and swap x and y. Rearrange for y: y = (x − 0) / 5.
10. f⁻¹(x) = (x − 4) / 5
Write y = 5x + 4 and swap x and y. Rearrange for y: y = (x − 4) / 5.
11. f⁻¹(x) = (x + 8) / 5
Write y = 5x − 8 and swap x and y. Rearrange for y: y = (x + 8) / 5.
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) = 2x − 1. Find f(3).
- Replace x with 3: 2 × 3 − 1.
- = 5
- Answer: 5
f(x) = 2x + 8. Find f(3).
- Replace x with 3: 2 × 3 + 8.
- = 14
- Answer: 14
f(x) = 4x − 8. Find the inverse f⁻¹(x).
- Write y = 4x − 8 and swap x and y.
- Rearrange for y: y = (x + 8) / 4.
- Answer: f⁻¹(x) = (x + 8) / 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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- Is this Grade 3 Rules and Methods in Function Notation in Context Word Problems: Visual Models quiz really free?
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- What should a learner already know before this?
- Start with Rules and Methods in Function Notation in Context Word Problems: Worked Examples, Rules and Methods in Function Notation in Context Word Problems: Step-by-step Method, Key Vocabulary of Function Notation in Context Word Problems. Each one has its own free lesson, worksheet and quiz.
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- Recognition first, then understanding, application, reasoning and finally mastery — the same ladder used across every free resource on the platform.
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- Move on to Rules and Methods in Function Notation in Context Word Problems: Common Mistakes, Rules and Methods in Function Notation in Context Word Problems: Real-life Applications, Introduction to Function Notation in Context Word Problems, Key Vocabulary of Function Notation in Context Word Problems, which build directly on this idea.
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