Free Grade 3 Working with Substitution Method Techniques Flashcards
Free Grade 3 flashcards for Working with 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
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify working with substitution method techniques
Identify working with substitution method techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with substitution method techniques
Explain working with substitution method techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with substitution method techniques
Calculate working with substitution method techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with substitution method techniques
Compare working with 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 Working with 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 9x + 19 when x = 3.[1]
- 2.Find the value of 3x + 5 when x = 8.[1]
- 3.Find the value of 6x + 9 when x = 5.[1]
- 4.Find the value of 5x + 18 when x = 3.[1]
- 5.Simplify 7x + 3y + 5x − 9y.[2]
- 6.Simplify 7x + 5y + 8x − 1y.[2]
- 7.Simplify 2x + 5y + 4x − 7y.[2]
- 8.Simplify 2x + 2y + 9x − 6y.[2]
- 9.Expand 3(3x + 7).[3]
- 10.Expand 4(3x + 3).[3]
- 11.Expand 5(4x + 5).[3]
- 12.Expand 2(6x + 4).[3]
Show answers and working
1. 46
Replace x with 3: 9 × 3 + 19. 27 + 19 = 46.
2. 29
Replace x with 8: 3 × 8 + 5. 24 + 5 = 29.
3. 39
Replace x with 5: 6 × 5 + 9. 30 + 9 = 39.
4. 33
Replace x with 3: 5 × 3 + 18. 15 + 18 = 33.
5. 12x − 6y
Collect x terms: 7x + 5x = 12x. Collect y terms: 3y − 9y = -6y.
6. 15x + 4y
Collect x terms: 7x + 8x = 15x. Collect y terms: 5y − 1y = 4y.
7. 6x − 2y
Collect x terms: 2x + 4x = 6x. Collect y terms: 5y − 7y = -2y.
8. 11x − 4y
Collect x terms: 2x + 9x = 11x. Collect y terms: 2y − 6y = -4y.
9. 9x + 21
Multiply each term inside by 3. 3 × 3x = 9x, 3 × 7 = 21.
10. 12x + 12
Multiply each term inside by 4. 4 × 3x = 12x, 4 × 3 = 12.
11. 20x + 25
Multiply each term inside by 5. 5 × 4x = 20x, 5 × 5 = 25.
12. 12x + 8
Multiply each term inside by 2. 2 × 6x = 12x, 2 × 4 = 8.
Worked examples
Find the value of 3x + 16 when x = 8.
- Replace x with 8: 3 × 8 + 16.
- 24 + 16 = 40.
- Answer: 40
Simplify 5x + 7y + 8x − 8y.
- Collect x terms: 5x + 8x = 13x.
- Collect y terms: 7y − 8y = -1y.
- Answer: 13x − 1y
Expand 5(2x + 6).
- Multiply each term inside by 5.
- 5 × 2x = 10x, 5 × 6 = 30.
- Answer: 10x + 30
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 Techniques flashcards really free?
- Yes. Every flashcards 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 Working with Substitution Method Essentials, Introducing Substitution Method. Each one has its own free lesson, worksheet and quiz.
- How is the flashcards 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 Techniques?
- Move on to Working with Substitution Method Word Problems, Working with Substitution Method Common Errors, Introducing Substitution Method, Substitution Method in Context, which build directly on this idea.
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