Free Grade 3 Introducing Substitution Method Techniques Quizzes
Free Grade 3 quizzes for Introducing Substitution Method Techniques: 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
Core
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify introducing substitution method techniques
Identify introducing substitution method techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain introducing substitution method techniques
Explain introducing substitution method techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing substitution method techniques
Calculate introducing substitution method techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing substitution method techniques
Compare introducing substitution method techniques 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 Introducing Substitution Method Techniques 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 8x + 1 when x = 6.[1]
- 2.Find the value of 8x + 6 when x = 9.[1]
- 3.Find the value of 9x + 12 when x = 6.[1]
- 4.Find the value of 7x + 18 when x = 6.[1]
- 5.Simplify 9x + 5y + 7x − 1y.[2]
- 6.Simplify 8x + 7y + 7x − 9y.[2]
- 7.Simplify 3x + 9y + 5x − 7y.[2]
- 8.Simplify 9x + 6y + 8x − 2y.[2]
- 9.Expand 2(3x + 3).[3]
- 10.Expand 2(3x + 9).[3]
- 11.Expand 2(6x + 4).[3]
- 12.Expand 5(4x + 3).[3]
Show answers and working
1. 49
Replace x with 6: 8 × 6 + 1. 48 + 1 = 49.
2. 78
Replace x with 9: 8 × 9 + 6. 72 + 6 = 78.
3. 66
Replace x with 6: 9 × 6 + 12. 54 + 12 = 66.
4. 60
Replace x with 6: 7 × 6 + 18. 42 + 18 = 60.
5. 16x + 4y
Collect x terms: 9x + 7x = 16x. Collect y terms: 5y − 1y = 4y.
6. 15x − 2y
Collect x terms: 8x + 7x = 15x. Collect y terms: 7y − 9y = -2y.
7. 8x + 2y
Collect x terms: 3x + 5x = 8x. Collect y terms: 9y − 7y = 2y.
8. 17x + 4y
Collect x terms: 9x + 8x = 17x. Collect y terms: 6y − 2y = 4y.
9. 6x + 6
Multiply each term inside by 2. 2 × 3x = 6x, 2 × 3 = 6.
10. 6x + 18
Multiply each term inside by 2. 2 × 3x = 6x, 2 × 9 = 18.
11. 12x + 8
Multiply each term inside by 2. 2 × 6x = 12x, 2 × 4 = 8.
12. 20x + 15
Multiply each term inside by 5. 5 × 4x = 20x, 5 × 3 = 15.
Worked examples
Find the value of 4x + 13 when x = 6.
- Replace x with 6: 4 × 6 + 13.
- 24 + 13 = 37.
- Answer: 37
Simplify 3x + 3y + 4x − 3y.
- Collect x terms: 3x + 4x = 7x.
- Collect y terms: 3y − 3y = 0y.
- Answer: 7x + 0y
Expand 2(5x + 7).
- Multiply each term inside by 2.
- 2 × 5x = 10x, 2 × 7 = 14.
- Answer: 10x + 14
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 Introducing Substitution Method Techniques 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 Essentials, 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 Introducing Substitution Method Techniques?
- Move on to Introducing Substitution Method Word Problems, Introducing Substitution Method Common Errors, Working with Substitution Method, Substitution Method in Context, which build directly on this idea.
Related resources
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