Free Grade 3 Forming Equations Lesson Plans
Free Grade 3 lesson plans for Forming 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.
- UnderstandExplain forming equations
Explain forming equations accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate forming equations
Calculate forming equations accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare forming equations
Compare forming equations accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify forming equations
Justify forming 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 Forming 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 + 19 = 29.[1]
- 2.Solve x + 19 = 24.[1]
- 3.Solve x + 17 = 22.[1]
- 4.Solve x + 5 = 9.[1]
- 5.Solve 5x + 14 = 19.[2]
- 6.Solve 9x + 14 = -22.[2]
- 7.Solve 7x + 10 = -11.[2]
- 8.Solve 8x + 12 = 28.[2]
- 9.Solve 6x + 16 = 3x + -5.[3]
- 10.Solve 2x + 8 = 1x + 15.[3]
- 11.Solve 3x + 1 = 1x + 15.[3]
- 12.Solve 8x + 3 = 1x + 3.[3]
Show answers and working
1. x = 10
Subtract 19 from both sides: x = 10. Check: 1 × 10 + 19 = 29.
2. x = 5
Subtract 19 from both sides: x = 5. Check: 1 × 5 + 19 = 24.
3. x = 5
Subtract 17 from both sides: x = 5. Check: 1 × 5 + 17 = 22.
4. x = 4
Subtract 5 from both sides: x = 4. Check: 1 × 4 + 5 = 9.
5. x = 1
Subtract 14 from both sides: 5x = 5. Divide by 5: x = 1. Check: 5 × 1 + 14 = 19.
6. x = -4
Subtract 14 from both sides: 9x = -36. Divide by 9: x = -4. Check: 9 × -4 + 14 = -22.
7. x = -3
Subtract 10 from both sides: 7x = -21. Divide by 7: x = -3. Check: 7 × -3 + 10 = -11.
8. x = 2
Subtract 12 from both sides: 8x = 16. Divide by 8: x = 2. Check: 8 × 2 + 12 = 28.
9. x = -7
Subtract 3x from both sides: 3x + 16 = -5. Subtract 16: 3x = -21. Divide by 3: x = -7.
10. x = 7
Subtract 1x from both sides: 1x + 8 = 15. Subtract 8: 1x = 7. Divide by 1: x = 7.
11. x = 7
Subtract 1x from both sides: 2x + 1 = 15. Subtract 1: 2x = 14. Divide by 2: x = 7.
12. x = 0
Subtract 1x from both sides: 7x + 3 = 3. Subtract 3: 7x = 0. Divide by 7: x = 0.
Worked examples
Solve x + 20 = 22.
- Subtract 20 from both sides: x = 2.
- Check: 1 × 2 + 20 = 22.
- Answer: x = 2
Solve 8x + 18 = 58.
- Subtract 18 from both sides: 8x = 40.
- Divide by 8: x = 5.
- Check: 8 × 5 + 18 = 58.
- Answer: x = 5
Solve 7x + 20 = 6x + 17.
- Subtract 6x from both sides: 1x + 20 = 17.
- Subtract 20: 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.
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Frequently asked
- Is this Grade 3 Forming Equations 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 Equations with Unknowns Both Sides, Equations with Brackets, 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 Forming Equations?
- Move on to Algebraic Expressions, Inequalities, Sequences, Quadratics, which build directly on this idea.
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