Free Grade 3 Expanded Form in Context Flashcards
Free Grade 3 flashcards for Expanded Form 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
Higher
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain expanded form in context
Explain expanded form in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate expanded form in context
Calculate expanded form in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare expanded form in context
Compare expanded form in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify expanded form in context
Justify expanded form 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 Expanded Form 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 2x + 15 when x = 7.[1]
- 2.Find the value of 5x + 4 when x = 6.[1]
- 3.Find the value of 2x + 4 when x = 3.[1]
- 4.Find the value of 3x + 12 when x = 6.[1]
- 5.Simplify 6x + 3y + 7x − 9y.[2]
- 6.Simplify 2x + 6y + 8x − 6y.[2]
- 7.Simplify 3x + 3y + 5x − 7y.[2]
- 8.Simplify 6x + 3y + 6x − 9y.[2]
- 9.Expand 4(3x + 1).[3]
- 10.Expand 2(3x + 8).[3]
- 11.Expand 3(2x + 4).[3]
- 12.Expand 3(3x + 4).[3]
Show answers and working
1. 29
Replace x with 7: 2 × 7 + 15. 14 + 15 = 29.
2. 34
Replace x with 6: 5 × 6 + 4. 30 + 4 = 34.
3. 10
Replace x with 3: 2 × 3 + 4. 6 + 4 = 10.
4. 30
Replace x with 6: 3 × 6 + 12. 18 + 12 = 30.
5. 13x − 6y
Collect x terms: 6x + 7x = 13x. Collect y terms: 3y − 9y = -6y.
6. 10x + 0y
Collect x terms: 2x + 8x = 10x. Collect y terms: 6y − 6y = 0y.
7. 8x − 4y
Collect x terms: 3x + 5x = 8x. Collect y terms: 3y − 7y = -4y.
8. 12x − 6y
Collect x terms: 6x + 6x = 12x. Collect y terms: 3y − 9y = -6y.
9. 12x + 4
Multiply each term inside by 4. 4 × 3x = 12x, 4 × 1 = 4.
10. 6x + 16
Multiply each term inside by 2. 2 × 3x = 6x, 2 × 8 = 16.
11. 6x + 12
Multiply each term inside by 3. 3 × 2x = 6x, 3 × 4 = 12.
12. 9x + 12
Multiply each term inside by 3. 3 × 3x = 9x, 3 × 4 = 12.
Worked examples
Find the value of 6x + 16 when x = 2.
- Replace x with 2: 6 × 2 + 16.
- 12 + 16 = 28.
- Answer: 28
Simplify 9x + 1y + 4x − 5y.
- Collect x terms: 9x + 4x = 13x.
- Collect y terms: 1y − 5y = -4y.
- Answer: 13x − 4y
Expand 3(6x + 2).
- Multiply each term inside by 3.
- 3 × 6x = 18x, 3 × 2 = 6.
- Answer: 18x + 6
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.
Every free resource for Expanded Form in Context
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Next topics
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Learn — Meet the idea.
Practice — Build fluency.
Revise — Keep it in memory.
Assess — Prove mastery.
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Teach — Deliver it to a class.
Frequently asked
- Is this Grade 3 Expanded Form in Context 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 Expanded Form, Introducing Expanded Form, The Number Line. 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 Expanded Form in Context?
- Move on to Reading Whole Numbers, Place Value, Digits, Comparing Numbers, which build directly on this idea.
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