Free Grade 3 Working with Two-step Equations Word Problems Lesson Plans
Free Grade 3 lesson plans for Working with Two-step Equations Word Problems: 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
Higher
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify working with two-step equations word problems
Identify working with two-step equations word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with two-step equations word problems
Explain working with two-step equations word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with two-step equations word problems
Calculate working with two-step equations word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with two-step equations word problems
Compare working with two-step equations word problems 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 Two-step Equations Word Problems 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 + 16 = 21.[1]
- 2.Solve x + 7 = 9.[1]
- 3.Solve x + 6 = 17.[1]
- 4.Solve x + 4 = 14.[1]
- 5.Solve 2x + 19 = 43.[2]
- 6.Solve 2x + 7 = 1.[2]
- 7.Solve 6x + 11 = 17.[2]
- 8.Solve 2x + 7 = 3.[2]
- 9.Solve 6x + 3 = 4x + 7.[3]
- 10.Solve 6x + 16 = 4x + -4.[3]
- 11.Solve 2x + 11 = 1x + 5.[3]
- 12.Solve 9x + 10 = 7x + -8.[3]
Show answers and working
1. x = 5
Subtract 16 from both sides: x = 5. Check: 1 × 5 + 16 = 21.
2. x = 2
Subtract 7 from both sides: x = 2. Check: 1 × 2 + 7 = 9.
3. x = 11
Subtract 6 from both sides: x = 11. Check: 1 × 11 + 6 = 17.
4. x = 10
Subtract 4 from both sides: x = 10. Check: 1 × 10 + 4 = 14.
5. x = 12
Subtract 19 from both sides: 2x = 24. Divide by 2: x = 12. Check: 2 × 12 + 19 = 43.
6. x = -3
Subtract 7 from both sides: 2x = -6. Divide by 2: x = -3. Check: 2 × -3 + 7 = 1.
7. x = 1
Subtract 11 from both sides: 6x = 6. Divide by 6: x = 1. Check: 6 × 1 + 11 = 17.
8. x = -2
Subtract 7 from both sides: 2x = -4. Divide by 2: x = -2. Check: 2 × -2 + 7 = 3.
9. x = 2
Subtract 4x from both sides: 2x + 3 = 7. Subtract 3: 2x = 4. Divide by 2: x = 2.
10. x = -10
Subtract 4x from both sides: 2x + 16 = -4. Subtract 16: 2x = -20. Divide by 2: x = -10.
11. x = -6
Subtract 1x from both sides: 1x + 11 = 5. Subtract 11: 1x = -6. Divide by 1: x = -6.
12. x = -9
Subtract 7x from both sides: 2x + 10 = -8. Subtract 10: 2x = -18. Divide by 2: x = -9.
Worked examples
Solve x + 16 = 22.
- Subtract 16 from both sides: x = 6.
- Check: 1 × 6 + 16 = 22.
- Answer: x = 6
Solve 9x + 6 = -21.
- Subtract 6 from both sides: 9x = -27.
- Divide by 9: x = -3.
- Check: 9 × -3 + 6 = -21.
- Answer: x = -3
Solve 9x + 10 = 6x + 37.
- Subtract 6x from both sides: 3x + 10 = 37.
- Subtract 10: 3x = 27.
- Divide by 3: x = 9.
- Answer: x = 9
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 Working with Two-step Equations Word Problems
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 Working with Two-step Equations Word Problems 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 Working with Two-step Equations Techniques, Working with Two-step Equations Essentials, Introducing Two-step Equations. 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 Working with Two-step Equations Word Problems?
- Move on to Working with Two-step Equations Common Errors, Introducing Two-step Equations, Two-step Equations in Context, which build directly on this idea.
Related resources
- Free Working with Two-step Equations Word Problems worksheets
- Free Working with Two-step Equations Word Problems quizzes
- Free Working with Two-step Equations Word Problems flashcards
- Free Working with Two-step Equations Word Problems lessons
- Working with Two-step Equations Word Problems in the knowledge graph
- Free AI Tutor
Stuck on Working with Two-step Equations Word Problems? The AI Tutor already knows this page, its prerequisites and its common mistakes.
Open the free AI Tutor