Free Grade 3 Expanding Brackets in Context Worksheets
Free Grade 3 worksheets for Expanding Brackets in Context: 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
Stretch
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain expanding brackets in context
Explain expanding brackets in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate expanding brackets in context
Calculate expanding brackets in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare expanding brackets in context
Compare expanding brackets in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify expanding brackets in context
Justify expanding brackets in context 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 Expanding Brackets in Context 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 + 8 when x = 5.[1]
- 2.Find the value of 5x + 15 when x = 7.[1]
- 3.Find the value of 4x + 19 when x = 6.[1]
- 4.Find the value of 7x + 9 when x = 7.[1]
- 5.Simplify 9x + 6y + 5x − 2y.[2]
- 6.Simplify 3x + 7y + 2x − 5y.[2]
- 7.Simplify 4x + 6y + 8x − 4y.[2]
- 8.Simplify 8x + 8y + 4x − 4y.[2]
- 9.Expand 5(5x + 7).[3]
- 10.Expand 2(3x + 3).[3]
- 11.Expand 3(5x + 1).[3]
- 12.Expand 3(6x + 6).[3]
Show answers and working
1. 33
Replace x with 5: 5 × 5 + 8. 25 + 8 = 33.
2. 50
Replace x with 7: 5 × 7 + 15. 35 + 15 = 50.
3. 43
Replace x with 6: 4 × 6 + 19. 24 + 19 = 43.
4. 58
Replace x with 7: 7 × 7 + 9. 49 + 9 = 58.
5. 14x + 4y
Collect x terms: 9x + 5x = 14x. Collect y terms: 6y − 2y = 4y.
6. 5x + 2y
Collect x terms: 3x + 2x = 5x. Collect y terms: 7y − 5y = 2y.
7. 12x + 2y
Collect x terms: 4x + 8x = 12x. Collect y terms: 6y − 4y = 2y.
8. 12x + 4y
Collect x terms: 8x + 4x = 12x. Collect y terms: 8y − 4y = 4y.
9. 25x + 35
Multiply each term inside by 5. 5 × 5x = 25x, 5 × 7 = 35.
10. 6x + 6
Multiply each term inside by 2. 2 × 3x = 6x, 2 × 3 = 6.
11. 15x + 3
Multiply each term inside by 3. 3 × 5x = 15x, 3 × 1 = 3.
12. 18x + 18
Multiply each term inside by 3. 3 × 6x = 18x, 3 × 6 = 18.
Worked examples
Find the value of 3x + 11 when x = 6.
- Replace x with 6: 3 × 6 + 11.
- 18 + 11 = 29.
- Answer: 29
Simplify 5x + 2y + 3x − 2y.
- Collect x terms: 5x + 3x = 8x.
- Collect y terms: 2y − 2y = 0y.
- Answer: 8x + 0y
Expand 5(5x + 1).
- Multiply each term inside by 5.
- 5 × 5x = 25x, 5 × 1 = 5.
- Answer: 25x + 5
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
How mastery is evidenced, and which standards it maps to.
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Frequently asked
- Is this Grade 3 Expanding Brackets in Context worksheet really free?
- Yes. Every worksheets 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 Expanding Brackets, Introducing Expanding Brackets, Substitution. Each one has its own free lesson, worksheet and quiz.
- How is the worksheet 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 Expanding Brackets in Context?
- Move on to Using Letters for Numbers, Collecting Like Terms, Substitution, Factorising, which build directly on this idea.
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