Free Grade 3 Introducing Substitution Method Common Errors Lesson Plans
Free Grade 3 lesson plans for Introducing Substitution Method Common Errors: 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
Higher
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify introducing substitution method common errors
Identify introducing substitution method common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain introducing substitution method common errors
Explain introducing substitution method common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing substitution method common errors
Calculate introducing substitution method common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing substitution method common errors
Compare introducing substitution method common errors 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 Common Errors 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 + 11 when x = 7.[1]
- 2.Find the value of 6x + 10 when x = 4.[1]
- 3.Find the value of 5x + 4 when x = 6.[1]
- 4.Find the value of 8x + 8 when x = 6.[1]
- 5.Simplify 4x + 7y + 6x − 8y.[2]
- 6.Simplify 8x + 1y + 5x − 6y.[2]
- 7.Simplify 6x + 4y + 3x − 2y.[2]
- 8.Simplify 9x + 9y + 2x − 1y.[2]
- 9.Expand 4(2x + 7).[3]
- 10.Expand 4(3x + 1).[3]
- 11.Expand 2(6x + 1).[3]
- 12.Expand 4(4x + 9).[3]
Show answers and working
1. 74
Replace x with 7: 9 × 7 + 11. 63 + 11 = 74.
2. 34
Replace x with 4: 6 × 4 + 10. 24 + 10 = 34.
3. 34
Replace x with 6: 5 × 6 + 4. 30 + 4 = 34.
4. 56
Replace x with 6: 8 × 6 + 8. 48 + 8 = 56.
5. 10x − 1y
Collect x terms: 4x + 6x = 10x. Collect y terms: 7y − 8y = -1y.
6. 13x − 5y
Collect x terms: 8x + 5x = 13x. Collect y terms: 1y − 6y = -5y.
7. 9x + 2y
Collect x terms: 6x + 3x = 9x. Collect y terms: 4y − 2y = 2y.
8. 11x + 8y
Collect x terms: 9x + 2x = 11x. Collect y terms: 9y − 1y = 8y.
9. 8x + 28
Multiply each term inside by 4. 4 × 2x = 8x, 4 × 7 = 28.
10. 12x + 4
Multiply each term inside by 4. 4 × 3x = 12x, 4 × 1 = 4.
11. 12x + 2
Multiply each term inside by 2. 2 × 6x = 12x, 2 × 1 = 2.
12. 16x + 36
Multiply each term inside by 4. 4 × 4x = 16x, 4 × 9 = 36.
Worked examples
Find the value of 7x + 4 when x = 2.
- Replace x with 2: 7 × 2 + 4.
- 14 + 4 = 18.
- Answer: 18
Simplify 6x + 6y + 6x − 2y.
- Collect x terms: 6x + 6x = 12x.
- Collect y terms: 6y − 2y = 4y.
- Answer: 12x + 4y
Expand 5(5x + 9).
- Multiply each term inside by 5.
- 5 × 5x = 25x, 5 × 9 = 45.
- Answer: 25x + 45
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
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- What should a learner already know before this?
- Start with Introducing Substitution Method Word Problems, Introducing Substitution Method Techniques, Elimination Method. Each one has its own free lesson, worksheet and quiz.
- How is the lesson plan 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 Common Errors?
- Move on to Working with Substitution Method, Substitution Method in Context, which build directly on this idea.
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