Free Grade 3 One-step Equations Flashcards
Free Grade 3 flashcards for One-step Equations: 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.
- RememberIdentify one-step equations
Identify one-step equations accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain one-step equations
Explain one-step equations accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate one-step equations
Calculate one-step equations accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare one-step equations
Compare one-step equations 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 One-step Equations 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 = 20.[1]
- 2.Solve x + 7 = 13.[1]
- 3.Solve x + 14 = 17.[1]
- 4.Solve x + 18 = 28.[1]
- 5.Solve 7x + 18 = 95.[2]
- 6.Solve 3x + 8 = -1.[2]
- 7.Solve 9x + 4 = 112.[2]
- 8.Solve 5x + 17 = 12.[2]
- 9.Solve 3x + 1 = 1x + 7.[3]
- 10.Solve 6x + 14 = 3x + 8.[3]
- 11.Solve 5x + 18 = 2x + 45.[3]
- 12.Solve 3x + 5 = 2x + 10.[3]
Show answers and working
1. x = 12
Subtract 8 from both sides: x = 12. Check: 1 × 12 + 8 = 20.
2. x = 6
Subtract 7 from both sides: x = 6. Check: 1 × 6 + 7 = 13.
3. x = 3
Subtract 14 from both sides: x = 3. Check: 1 × 3 + 14 = 17.
4. x = 10
Subtract 18 from both sides: x = 10. Check: 1 × 10 + 18 = 28.
5. x = 11
Subtract 18 from both sides: 7x = 77. Divide by 7: x = 11. Check: 7 × 11 + 18 = 95.
6. x = -3
Subtract 8 from both sides: 3x = -9. Divide by 3: x = -3. Check: 3 × -3 + 8 = -1.
7. x = 12
Subtract 4 from both sides: 9x = 108. Divide by 9: x = 12. Check: 9 × 12 + 4 = 112.
8. x = -1
Subtract 17 from both sides: 5x = -5. Divide by 5: x = -1. Check: 5 × -1 + 17 = 12.
9. x = 3
Subtract 1x from both sides: 2x + 1 = 7. Subtract 1: 2x = 6. Divide by 2: x = 3.
10. x = -2
Subtract 3x from both sides: 3x + 14 = 8. Subtract 14: 3x = -6. Divide by 3: x = -2.
11. x = 9
Subtract 2x from both sides: 3x + 18 = 45. Subtract 18: 3x = 27. Divide by 3: x = 9.
12. x = 5
Subtract 2x from both sides: 1x + 5 = 10. Subtract 5: 1x = 5. Divide by 1: x = 5.
Worked examples
Solve x + 13 = 24.
- Subtract 13 from both sides: x = 11.
- Check: 1 × 11 + 13 = 24.
- Answer: x = 11
Solve 3x + 2 = 35.
- Subtract 2 from both sides: 3x = 33.
- Divide by 3: x = 11.
- Check: 3 × 11 + 2 = 35.
- Answer: x = 11
Solve 2x + 16 = 1x + 13.
- Subtract 1x from both sides: 1x + 16 = 13.
- Subtract 16: 1x = -3.
- Divide by 1: x = -3.
- Answer: x = -3
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 One-step Equations
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Frequently asked
- Is this Grade 3 One-step Equations 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 Algebraic Expressions. 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 One-step Equations?
- Move on to Two-step Equations, Equations with Brackets, Equations with Unknowns Both Sides, Forming Equations, which build directly on this idea.
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