Free Grade 3 Working with Substitution Method Quizzes
Free Grade 3 quizzes for Working with Substitution Method: 12 real questions with a full answer key and worked solutions. An expression uses letters for numbers. Substitute a value to evaluate it, collect like terms to simplify it, and multiply every term in a bracket to expand it.
Free
Foundation
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with substitution method
Explain working with substitution method accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with substitution method
Calculate working with substitution method accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with substitution method
Compare working with substitution method accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with substitution method
Justify working with substitution method 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 Working with Substitution Method works
An expression uses letters for numbers. Substitute a value to evaluate it, collect like terms to simplify it, and multiply every term in a bracket to expand it.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.Find the value of 5x + 3 when x = 3.[1]
- 2.Find the value of 7x + 7 when x = 8.[1]
- 3.Find the value of 4x + 15 when x = 5.[1]
- 4.Find the value of 9x + 10 when x = 6.[1]
- 5.Simplify 4x + 2y + 7x − 1y.[2]
- 6.Simplify 8x + 1y + 3x − 7y.[2]
- 7.Simplify 3x + 7y + 4x − 4y.[2]
- 8.Simplify 9x + 3y + 8x − 3y.[2]
- 9.Expand 4(3x + 6).[3]
- 10.Expand 2(5x + 3).[3]
- 11.Expand 4(6x + 7).[3]
- 12.Expand 3(5x + 4).[3]
Show answers and working
1. 18
Replace x with 3: 5 × 3 + 3. 15 + 3 = 18.
2. 63
Replace x with 8: 7 × 8 + 7. 56 + 7 = 63.
3. 35
Replace x with 5: 4 × 5 + 15. 20 + 15 = 35.
4. 64
Replace x with 6: 9 × 6 + 10. 54 + 10 = 64.
5. 11x + 1y
Collect x terms: 4x + 7x = 11x. Collect y terms: 2y − 1y = 1y.
6. 11x − 6y
Collect x terms: 8x + 3x = 11x. Collect y terms: 1y − 7y = -6y.
7. 7x + 3y
Collect x terms: 3x + 4x = 7x. Collect y terms: 7y − 4y = 3y.
8. 17x + 0y
Collect x terms: 9x + 8x = 17x. Collect y terms: 3y − 3y = 0y.
9. 12x + 24
Multiply each term inside by 4. 4 × 3x = 12x, 4 × 6 = 24.
10. 10x + 6
Multiply each term inside by 2. 2 × 5x = 10x, 2 × 3 = 6.
11. 24x + 28
Multiply each term inside by 4. 4 × 6x = 24x, 4 × 7 = 28.
12. 15x + 12
Multiply each term inside by 3. 3 × 5x = 15x, 3 × 4 = 12.
Worked examples
Find the value of 9x + 1 when x = 3.
- Replace x with 3: 9 × 3 + 1.
- 27 + 1 = 28.
- Answer: 28
Simplify 9x + 8y + 4x − 8y.
- Collect x terms: 9x + 4x = 13x.
- Collect y terms: 8y − 8y = 0y.
- Answer: 13x + 0y
Expand 4(3x + 5).
- Multiply each term inside by 4.
- 4 × 3x = 12x, 4 × 5 = 20.
- Answer: 12x + 20
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 3x as 3 + x, or as 3 with x stuck on.
Correction: 3x means 3 × x.
Only multiplies the first term when expanding.
Correction: Draw arrows from the outside to every inside term.
Teacher tips
- · Use algebra tiles to show collecting like terms.
Parent tips
- · Ask what 'number of pizzas × price' is for different orders.
Real-life applications
- · Formulas for cost: total = 5n + 2 for n items plus delivery.
Assessment objectives
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Frequently asked
- Is this Grade 3 Working with Substitution Method 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 Introducing Substitution Method, Elimination Method. 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 Working with Substitution Method?
- Move on to Substitution Method in Context, Elimination Method, Graphical Solutions, which build directly on this idea.
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