Free Grade 3 Equations with Brackets Lesson Plans
Free Grade 3 lesson plans for Equations with Brackets: 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
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain equations with brackets
Explain equations with brackets accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate equations with brackets
Calculate equations with brackets accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare equations with brackets
Compare equations with brackets accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify equations with brackets
Justify equations with brackets 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 Equations with Brackets 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 + 18 = 19.[1]
- 2.Solve x + 10 = 13.[1]
- 3.Solve x + 9 = 12.[1]
- 4.Solve x + 9 = 21.[1]
- 5.Solve 8x + 15 = 7.[2]
- 6.Solve 7x + 1 = 43.[2]
- 7.Solve 9x + 17 = 98.[2]
- 8.Solve 8x + 19 = 35.[2]
- 9.Solve 7x + 11 = 3x + 51.[3]
- 10.Solve 7x + 10 = 6x + 0.[3]
- 11.Solve 4x + 20 = 1x + -4.[3]
- 12.Solve 7x + 7 = 4x + 31.[3]
Show answers and working
1. x = 1
Subtract 18 from both sides: x = 1. Check: 1 × 1 + 18 = 19.
2. x = 3
Subtract 10 from both sides: x = 3. Check: 1 × 3 + 10 = 13.
3. x = 3
Subtract 9 from both sides: x = 3. Check: 1 × 3 + 9 = 12.
4. x = 12
Subtract 9 from both sides: x = 12. Check: 1 × 12 + 9 = 21.
5. x = -1
Subtract 15 from both sides: 8x = -8. Divide by 8: x = -1. Check: 8 × -1 + 15 = 7.
6. x = 6
Subtract 1 from both sides: 7x = 42. Divide by 7: x = 6. Check: 7 × 6 + 1 = 43.
7. x = 9
Subtract 17 from both sides: 9x = 81. Divide by 9: x = 9. Check: 9 × 9 + 17 = 98.
8. x = 2
Subtract 19 from both sides: 8x = 16. Divide by 8: x = 2. Check: 8 × 2 + 19 = 35.
9. x = 10
Subtract 3x from both sides: 4x + 11 = 51. Subtract 11: 4x = 40. Divide by 4: x = 10.
10. x = -10
Subtract 6x from both sides: 1x + 10 = 0. Subtract 10: 1x = -10. Divide by 1: x = -10.
11. x = -8
Subtract 1x from both sides: 3x + 20 = -4. Subtract 20: 3x = -24. Divide by 3: x = -8.
12. x = 8
Subtract 4x from both sides: 3x + 7 = 31. Subtract 7: 3x = 24. Divide by 3: x = 8.
Worked examples
Solve x + 20 = 28.
- Subtract 20 from both sides: x = 8.
- Check: 1 × 8 + 20 = 28.
- Answer: x = 8
Solve 5x + 9 = -11.
- Subtract 9 from both sides: 5x = -20.
- Divide by 5: x = -4.
- Check: 5 × -4 + 9 = -11.
- Answer: x = -4
Solve 6x + 3 = 1x + -7.
- Subtract 1x from both sides: 5x + 3 = -7.
- Subtract 3: 5x = -10.
- Divide by 5: 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.
Every free resource for Equations with Brackets
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Frequently asked
- Is this Grade 3 Equations with Brackets lesson plan really free?
- Yes. Every lesson plans 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 Two-step Equations, One-step Equations, Algebraic Expressions. Each one has its own free lesson, worksheet and quiz.
- How is the lesson plan 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 Equations with Brackets?
- Move on to Equations with Unknowns Both Sides, Forming Equations, Algebraic Expressions, Inequalities, which build directly on this idea.
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