Free Grade 3 Working with Introducing Equations with Brackets Common Errors Quizzes
Free Grade 3 quizzes for Working with Introducing Equations with Brackets Common Errors: 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
Core
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify working with introducing equations with brackets common errors
Identify working with introducing equations with brackets common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with introducing equations with brackets common errors
Explain working with introducing equations with brackets common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing equations with brackets common errors
Calculate working with introducing equations with brackets common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing equations with brackets common errors
Compare working with introducing equations with brackets 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 Working with Introducing Equations with Brackets Common Errors 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 + 10 = 16.[1]
- 2.Solve x + 13 = 20.[1]
- 3.Solve x + 3 = 6.[1]
- 4.Solve x + 18 = 23.[1]
- 5.Solve 9x + 8 = 35.[2]
- 6.Solve 3x + 17 = 17.[2]
- 7.Solve 2x + 20 = 24.[2]
- 8.Solve 5x + 12 = 52.[2]
- 9.Solve 8x + 17 = 2x + 53.[3]
- 10.Solve 5x + 7 = 3x + 1.[3]
- 11.Solve 6x + 12 = 5x + 13.[3]
- 12.Solve 9x + 10 = 4x + -15.[3]
Show answers and working
1. x = 6
Subtract 10 from both sides: x = 6. Check: 1 × 6 + 10 = 16.
2. x = 7
Subtract 13 from both sides: x = 7. Check: 1 × 7 + 13 = 20.
3. x = 3
Subtract 3 from both sides: x = 3. Check: 1 × 3 + 3 = 6.
4. x = 5
Subtract 18 from both sides: x = 5. Check: 1 × 5 + 18 = 23.
5. x = 3
Subtract 8 from both sides: 9x = 27. Divide by 9: x = 3. Check: 9 × 3 + 8 = 35.
6. x = 0
Subtract 17 from both sides: 3x = 0. Divide by 3: x = 0. Check: 3 × 0 + 17 = 17.
7. x = 2
Subtract 20 from both sides: 2x = 4. Divide by 2: x = 2. Check: 2 × 2 + 20 = 24.
8. x = 8
Subtract 12 from both sides: 5x = 40. Divide by 5: x = 8. Check: 5 × 8 + 12 = 52.
9. x = 6
Subtract 2x from both sides: 6x + 17 = 53. Subtract 17: 6x = 36. Divide by 6: x = 6.
10. x = -3
Subtract 3x from both sides: 2x + 7 = 1. Subtract 7: 2x = -6. Divide by 2: x = -3.
11. x = 1
Subtract 5x from both sides: 1x + 12 = 13. Subtract 12: 1x = 1. Divide by 1: x = 1.
12. x = -5
Subtract 4x from both sides: 5x + 10 = -15. Subtract 10: 5x = -25. Divide by 5: x = -5.
Worked examples
Solve x + 17 = 17.
- Subtract 17 from both sides: x = 0.
- Check: 1 × 0 + 17 = 17.
- Answer: x = 0
Solve 9x + 12 = -6.
- Subtract 12 from both sides: 9x = -18.
- Divide by 9: x = -2.
- Check: 9 × -2 + 12 = -6.
- Answer: x = -2
Solve 3x + 16 = 2x + 15.
- Subtract 2x from both sides: 1x + 16 = 15.
- Subtract 16: 1x = -1.
- Divide by 1: x = -1.
- Answer: x = -1
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.
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Frequently asked
- Is this Grade 3 Working with Introducing Equations with Brackets Common Errors 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 Rules and Methods in Introducing Equations with Brackets Common Errors, Key Vocabulary of Introducing Equations with Brackets Common Errors, Introducing Equations with Brackets Word Problems. 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 Working with Introducing Equations with Brackets Common Errors?
- Move on to Introducing Equations with Brackets Common Errors in Examinations, Introducing Equations with Brackets Essentials, Introducing Equations with Brackets Techniques, Introducing Equations with Brackets Word Problems, which build directly on this idea.
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