Free Grade 3 Introducing Equations with Brackets Flashcards
Free Grade 3 flashcards for Introducing 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
Foundation
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain introducing equations with brackets
Explain introducing equations with brackets accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing equations with brackets
Calculate introducing equations with brackets accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing equations with brackets
Compare introducing equations with brackets accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introducing equations with brackets
Justify introducing 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 Introducing 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 + 5 = 10.[1]
- 2.Solve x + 1 = 2.[1]
- 3.Solve x + 1 = 7.[1]
- 4.Solve x + 5 = 15.[1]
- 5.Solve 7x + 6 = -1.[2]
- 6.Solve 8x + 12 = 68.[2]
- 7.Solve 6x + 20 = 62.[2]
- 8.Solve 6x + 8 = 32.[2]
- 9.Solve 5x + 9 = 1x + 25.[3]
- 10.Solve 4x + 20 = 2x + 14.[3]
- 11.Solve 3x + 11 = 2x + 9.[3]
- 12.Solve 6x + 16 = 5x + 10.[3]
Show answers and working
1. x = 5
Subtract 5 from both sides: x = 5. Check: 1 × 5 + 5 = 10.
2. x = 1
Subtract 1 from both sides: x = 1. Check: 1 × 1 + 1 = 2.
3. x = 6
Subtract 1 from both sides: x = 6. Check: 1 × 6 + 1 = 7.
4. x = 10
Subtract 5 from both sides: x = 10. Check: 1 × 10 + 5 = 15.
5. x = -1
Subtract 6 from both sides: 7x = -7. Divide by 7: x = -1. Check: 7 × -1 + 6 = -1.
6. x = 7
Subtract 12 from both sides: 8x = 56. Divide by 8: x = 7. Check: 8 × 7 + 12 = 68.
7. x = 7
Subtract 20 from both sides: 6x = 42. Divide by 6: x = 7. Check: 6 × 7 + 20 = 62.
8. x = 4
Subtract 8 from both sides: 6x = 24. Divide by 6: x = 4. Check: 6 × 4 + 8 = 32.
9. x = 4
Subtract 1x from both sides: 4x + 9 = 25. Subtract 9: 4x = 16. Divide by 4: x = 4.
10. x = -3
Subtract 2x from both sides: 2x + 20 = 14. Subtract 20: 2x = -6. Divide by 2: x = -3.
11. x = -2
Subtract 2x from both sides: 1x + 11 = 9. Subtract 11: 1x = -2. Divide by 1: x = -2.
12. x = -6
Subtract 5x from both sides: 1x + 16 = 10. Subtract 16: 1x = -6. Divide by 1: x = -6.
Worked examples
Solve x + 13 = 16.
- Subtract 13 from both sides: x = 3.
- Check: 1 × 3 + 13 = 16.
- Answer: x = 3
Solve 3x + 20 = 47.
- Subtract 20 from both sides: 3x = 27.
- Divide by 3: x = 9.
- Check: 3 × 9 + 20 = 47.
- Answer: x = 9
Solve 8x + 2 = 2x + 50.
- Subtract 2x from both sides: 6x + 2 = 50.
- Subtract 2: 6x = 48.
- Divide by 6: x = 8.
- Answer: x = 8
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 Introducing Equations with Brackets
One concept, one ecosystem — all of it free.
Goes deeper
The entities below this one, each with the same complete free resource set.
Sibling concepts
Related concepts
Lateral links, including across subjects.
Next topics
All free formats for this concept
Every kind below is a real page, generated from this entity.
Learn — Meet the idea.
Practice — Build fluency.
Revise — Keep it in memory.
Assess — Prove mastery.
Apply — Use it in context.
Teach — Deliver it to a class.
Frequently asked
- Is this Grade 3 Introducing Equations with Brackets flashcards really free?
- Yes. Every flashcards 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. Each one has its own free lesson, worksheet and quiz.
- How is the flashcards 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 Introducing Equations with Brackets?
- Move on to Working with Equations with Brackets, Equations with Brackets in Context, One-step Equations, Two-step Equations, which build directly on this idea.
Related resources
Stuck on Introducing Equations with Brackets? The AI Tutor already knows this page, its prerequisites and its common mistakes.
Open the free AI Tutor