Free Grade 3 Collinearity in Context Worksheets
Free Grade 3 worksheets for Collinearity in Context: 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
Core
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain collinearity in context
Explain collinearity in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate collinearity in context
Calculate collinearity in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare collinearity in context
Compare collinearity in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify collinearity in context
Justify collinearity in context 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 Collinearity in Context 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 + 1 = 12.[1]
- 2.Solve x + 3 = 10.[1]
- 3.Solve x + 7 = 7.[1]
- 4.Solve x + 18 = 28.[1]
- 5.Solve 7x + 5 = 82.[2]
- 6.Solve 9x + 8 = 17.[2]
- 7.Solve 8x + 10 = 2.[2]
- 8.Solve 5x + 8 = 23.[2]
- 9.Solve 5x + 14 = 3x + 16.[3]
- 10.Solve 5x + 9 = 4x + 20.[3]
- 11.Solve 9x + 4 = 5x + 44.[3]
- 12.Solve 8x + 18 = 7x + 10.[3]
Show answers and working
1. x = 11
Subtract 1 from both sides: x = 11. Check: 1 × 11 + 1 = 12.
2. x = 7
Subtract 3 from both sides: x = 7. Check: 1 × 7 + 3 = 10.
3. x = 0
Subtract 7 from both sides: x = 0. Check: 1 × 0 + 7 = 7.
4. x = 10
Subtract 18 from both sides: x = 10. Check: 1 × 10 + 18 = 28.
5. x = 11
Subtract 5 from both sides: 7x = 77. Divide by 7: x = 11. Check: 7 × 11 + 5 = 82.
6. x = 1
Subtract 8 from both sides: 9x = 9. Divide by 9: x = 1. Check: 9 × 1 + 8 = 17.
7. x = -1
Subtract 10 from both sides: 8x = -8. Divide by 8: x = -1. Check: 8 × -1 + 10 = 2.
8. x = 3
Subtract 8 from both sides: 5x = 15. Divide by 5: x = 3. Check: 5 × 3 + 8 = 23.
9. x = 1
Subtract 3x from both sides: 2x + 14 = 16. Subtract 14: 2x = 2. Divide by 2: x = 1.
10. x = 11
Subtract 4x from both sides: 1x + 9 = 20. Subtract 9: 1x = 11. Divide by 1: x = 11.
11. x = 10
Subtract 5x from both sides: 4x + 4 = 44. Subtract 4: 4x = 40. Divide by 4: x = 10.
12. x = -8
Subtract 7x from both sides: 1x + 18 = 10. Subtract 18: 1x = -8. Divide by 1: x = -8.
Worked examples
Solve x + 11 = 12.
- Subtract 11 from both sides: x = 1.
- Check: 1 × 1 + 11 = 12.
- Answer: x = 1
Solve 2x + 16 = 26.
- Subtract 16 from both sides: 2x = 10.
- Divide by 2: x = 5.
- Check: 2 × 5 + 16 = 26.
- Answer: x = 5
Solve 3x + 18 = 2x + 14.
- Subtract 2x from both sides: 1x + 18 = 14.
- Subtract 18: 1x = -4.
- Divide by 1: x = -4.
- Answer: x = -4
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 Collinearity in Context
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Frequently asked
- Is this Grade 3 Collinearity in Context worksheet really free?
- Yes. Every worksheets 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 Collinearity, Introducing Collinearity, Position Vectors. Each one has its own free lesson, worksheet and quiz.
- How is the worksheet 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 Collinearity in Context?
- Move on to Position Vectors, Vector Proof, which build directly on this idea.
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