Free Grade 3 Working with Introducing Equations with Brackets Common Errors Flashcards
Free Grade 3 flashcards 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.
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20 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 = 21.[1]
- 2.Solve x + 6 = 8.[1]
- 3.Solve x + 11 = 20.[1]
- 4.Solve x + 1 = 4.[1]
- 5.Solve 7x + 1 = 64.[2]
- 6.Solve 6x + 16 = 82.[2]
- 7.Solve 4x + 3 = 39.[2]
- 8.Solve 3x + 17 = 47.[2]
- 9.Solve 4x + 20 = 3x + 11.[3]
- 10.Solve 5x + 6 = 1x + 22.[3]
- 11.Solve 8x + 4 = 5x + 28.[3]
- 12.Solve 2x + 19 = 1x + 31.[3]
Show answers and working
1. x = 11
Subtract 10 from both sides: x = 11. Check: 1 × 11 + 10 = 21.
2. x = 2
Subtract 6 from both sides: x = 2. Check: 1 × 2 + 6 = 8.
3. x = 9
Subtract 11 from both sides: x = 9. Check: 1 × 9 + 11 = 20.
4. x = 3
Subtract 1 from both sides: x = 3. Check: 1 × 3 + 1 = 4.
5. x = 9
Subtract 1 from both sides: 7x = 63. Divide by 7: x = 9. Check: 7 × 9 + 1 = 64.
6. x = 11
Subtract 16 from both sides: 6x = 66. Divide by 6: x = 11. Check: 6 × 11 + 16 = 82.
7. x = 9
Subtract 3 from both sides: 4x = 36. Divide by 4: x = 9. Check: 4 × 9 + 3 = 39.
8. x = 10
Subtract 17 from both sides: 3x = 30. Divide by 3: x = 10. Check: 3 × 10 + 17 = 47.
9. x = -9
Subtract 3x from both sides: 1x + 20 = 11. Subtract 20: 1x = -9. Divide by 1: x = -9.
10. x = 4
Subtract 1x from both sides: 4x + 6 = 22. Subtract 6: 4x = 16. Divide by 4: x = 4.
11. x = 8
Subtract 5x from both sides: 3x + 4 = 28. Subtract 4: 3x = 24. Divide by 3: x = 8.
12. x = 12
Subtract 1x from both sides: 1x + 19 = 31. Subtract 19: 1x = 12. Divide by 1: x = 12.
Worked examples
Solve x + 16 = 28.
- Subtract 16 from both sides: x = 12.
- Check: 1 × 12 + 16 = 28.
- Answer: x = 12
Solve 7x + 14 = -21.
- Subtract 14 from both sides: 7x = -35.
- Divide by 7: x = -5.
- Check: 7 × -5 + 14 = -21.
- Answer: x = -5
Solve 5x + 13 = 1x + 21.
- Subtract 1x from both sides: 4x + 13 = 21.
- Subtract 13: 4x = 8.
- Divide by 4: x = 2.
- Answer: x = 2
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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- 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.
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- Recognition first, then understanding, application, reasoning and finally mastery — the same ladder used across every free resource on the platform.
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- 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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