Free Grade 3 Forming Equations in Context Quizzes
Free Grade 3 quizzes 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
Stretch
20 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 + 8 = 16.[1]
- 2.Solve x + 13 = 19.[1]
- 3.Solve x + 19 = 27.[1]
- 4.Solve x + 1 = 13.[1]
- 5.Solve 2x + 19 = 41.[2]
- 6.Solve 9x + 19 = 46.[2]
- 7.Solve 6x + 8 = 2.[2]
- 8.Solve 6x + 9 = 39.[2]
- 9.Solve 3x + 11 = 2x + 6.[3]
- 10.Solve 9x + 13 = 4x + 13.[3]
- 11.Solve 7x + 14 = 1x + 26.[3]
- 12.Solve 9x + 16 = 5x + -4.[3]
Show answers and working
1. x = 8
Subtract 8 from both sides: x = 8. Check: 1 × 8 + 8 = 16.
2. x = 6
Subtract 13 from both sides: x = 6. Check: 1 × 6 + 13 = 19.
3. x = 8
Subtract 19 from both sides: x = 8. Check: 1 × 8 + 19 = 27.
4. x = 12
Subtract 1 from both sides: x = 12. Check: 1 × 12 + 1 = 13.
5. x = 11
Subtract 19 from both sides: 2x = 22. Divide by 2: x = 11. Check: 2 × 11 + 19 = 41.
6. x = 3
Subtract 19 from both sides: 9x = 27. Divide by 9: x = 3. Check: 9 × 3 + 19 = 46.
7. x = -1
Subtract 8 from both sides: 6x = -6. Divide by 6: x = -1. Check: 6 × -1 + 8 = 2.
8. x = 5
Subtract 9 from both sides: 6x = 30. Divide by 6: x = 5. Check: 6 × 5 + 9 = 39.
9. x = -5
Subtract 2x from both sides: 1x + 11 = 6. Subtract 11: 1x = -5. Divide by 1: x = -5.
10. x = 0
Subtract 4x from both sides: 5x + 13 = 13. Subtract 13: 5x = 0. Divide by 5: x = 0.
11. x = 2
Subtract 1x from both sides: 6x + 14 = 26. Subtract 14: 6x = 12. Divide by 6: x = 2.
12. x = -5
Subtract 5x from both sides: 4x + 16 = -4. Subtract 16: 4x = -20. Divide by 4: x = -5.
Worked examples
Solve x + 7 = 11.
- Subtract 7 from both sides: x = 4.
- Check: 1 × 4 + 7 = 11.
- Answer: x = 4
Solve 4x + 12 = 48.
- Subtract 12 from both sides: 4x = 36.
- Divide by 4: x = 9.
- Check: 4 × 9 + 12 = 48.
- Answer: x = 9
Solve 7x + 9 = 1x + 39.
- Subtract 1x from both sides: 6x + 9 = 39.
- Subtract 9: 6x = 30.
- Divide by 6: x = 5.
- Answer: x = 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.
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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Frequently asked
- Is this Grade 3 Forming Equations in Context quiz really free?
- Yes. Every quizzes 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 quiz 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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