Free Grade 3 Forming Equations in Context Worksheets
Free Grade 3 worksheets for Forming Equations in Context: 12 real questions with a full answer key and worked solutions. An equation is a balance. Do the same thing to both sides until the letter is on its own, then check by substituting back.
Free
Higher
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify forming equations in context
Identify forming equations in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain forming equations in context
Explain forming equations in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate forming equations in context
Calculate forming equations in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare forming equations in context
Compare forming equations 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 Forming Equations in Context works
An equation is a balance. Do the same thing to both sides until the letter is on its own, then check by substituting back.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.Solve x + 12 = 13.[1]
- 2.Solve x + 12 = 19.[1]
- 3.Solve x + 19 = 28.[1]
- 4.Solve x + 5 = 13.[1]
- 5.Solve 9x + 15 = 60.[2]
- 6.Solve 6x + 17 = 35.[2]
- 7.Solve 3x + 6 = 30.[2]
- 8.Solve 4x + 14 = 54.[2]
- 9.Solve 3x + 19 = 2x + 11.[3]
- 10.Solve 5x + 20 = 3x + 34.[3]
- 11.Solve 2x + 11 = 1x + 7.[3]
- 12.Solve 7x + 4 = 2x + 39.[3]
Show answers and working
1. x = 1
Subtract 12 from both sides: x = 1. Check: 1 × 1 + 12 = 13.
2. x = 7
Subtract 12 from both sides: x = 7. Check: 1 × 7 + 12 = 19.
3. x = 9
Subtract 19 from both sides: x = 9. Check: 1 × 9 + 19 = 28.
4. x = 8
Subtract 5 from both sides: x = 8. Check: 1 × 8 + 5 = 13.
5. x = 5
Subtract 15 from both sides: 9x = 45. Divide by 9: x = 5. Check: 9 × 5 + 15 = 60.
6. x = 3
Subtract 17 from both sides: 6x = 18. Divide by 6: x = 3. Check: 6 × 3 + 17 = 35.
7. x = 8
Subtract 6 from both sides: 3x = 24. Divide by 3: x = 8. Check: 3 × 8 + 6 = 30.
8. x = 10
Subtract 14 from both sides: 4x = 40. Divide by 4: x = 10. Check: 4 × 10 + 14 = 54.
9. x = -8
Subtract 2x from both sides: 1x + 19 = 11. Subtract 19: 1x = -8. Divide by 1: x = -8.
10. x = 7
Subtract 3x from both sides: 2x + 20 = 34. Subtract 20: 2x = 14. Divide by 2: x = 7.
11. x = -4
Subtract 1x from both sides: 1x + 11 = 7. Subtract 11: 1x = -4. Divide by 1: x = -4.
12. x = 7
Subtract 2x from both sides: 5x + 4 = 39. Subtract 4: 5x = 35. Divide by 5: x = 7.
Worked examples
Solve x + 1 = 1.
- Subtract 1 from both sides: x = 0.
- Check: 1 × 0 + 1 = 1.
- Answer: x = 0
Solve 2x + 10 = 26.
- Subtract 10 from both sides: 2x = 16.
- Divide by 2: x = 8.
- Check: 2 × 8 + 10 = 26.
- Answer: x = 8
Solve 8x + 2 = 7x + -8.
- Subtract 7x from both sides: 1x + 2 = -8.
- Subtract 2: 1x = -10.
- Divide by 1: x = -10.
- Answer: x = -10
Interactive practice
Free, no account required — answer on screen or print it.
Common mistakes
What learners typically get wrong, and how to fix it.
Does an operation to only one side.
Correction: Keep the balance — both sides, every time.
Uses the wrong inverse (subtracts to undo multiplying).
Correction: Undo × with ÷ and + with −.
Teacher tips
- · Always ask pupils to substitute their answer back in.
Parent tips
- · 'I think of a number' puzzles at dinner.
Real-life applications
- · Working out an unknown price or time from a total.
Assessment objectives
How mastery is evidenced, and which standards it maps to.
Every free resource for Forming Equations in Context
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Learn — Meet the idea.
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Frequently asked
- Is this Grade 3 Forming Equations 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 Forming Equations, Introducing Forming Equations, Equations with Unknowns Both Sides. 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 Forming Equations in Context?
- Move on to One-step Equations, Two-step Equations, Equations with Brackets, Equations with Unknowns Both Sides, which build directly on this idea.
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