Free Grade 3 Introducing Collinearity Quizzes
Free Grade 3 quizzes for Introducing Collinearity: 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
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify introducing collinearity
Identify introducing collinearity accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain introducing collinearity
Explain introducing collinearity accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing collinearity
Calculate introducing collinearity accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing collinearity
Compare introducing collinearity 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 Collinearity 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 = 26.[1]
- 2.Solve x + 4 = 12.[1]
- 3.Solve x + 20 = 25.[1]
- 4.Solve x + 6 = 8.[1]
- 5.Solve 6x + 2 = 2.[2]
- 6.Solve 8x + 16 = 104.[2]
- 7.Solve 6x + 1 = 37.[2]
- 8.Solve 9x + 15 = 15.[2]
- 9.Solve 5x + 18 = 1x + 22.[3]
- 10.Solve 4x + 1 = 1x + 31.[3]
- 11.Solve 7x + 3 = 2x + 13.[3]
- 12.Solve 7x + 10 = 6x + 8.[3]
Show answers and working
1. x = 10
Subtract 16 from both sides: x = 10. Check: 1 × 10 + 16 = 26.
2. x = 8
Subtract 4 from both sides: x = 8. Check: 1 × 8 + 4 = 12.
3. x = 5
Subtract 20 from both sides: x = 5. Check: 1 × 5 + 20 = 25.
4. x = 2
Subtract 6 from both sides: x = 2. Check: 1 × 2 + 6 = 8.
5. x = 0
Subtract 2 from both sides: 6x = 0. Divide by 6: x = 0. Check: 6 × 0 + 2 = 2.
6. x = 11
Subtract 16 from both sides: 8x = 88. Divide by 8: x = 11. Check: 8 × 11 + 16 = 104.
7. x = 6
Subtract 1 from both sides: 6x = 36. Divide by 6: x = 6. Check: 6 × 6 + 1 = 37.
8. x = 0
Subtract 15 from both sides: 9x = 0. Divide by 9: x = 0. Check: 9 × 0 + 15 = 15.
9. x = 1
Subtract 1x from both sides: 4x + 18 = 22. Subtract 18: 4x = 4. Divide by 4: x = 1.
10. x = 10
Subtract 1x from both sides: 3x + 1 = 31. Subtract 1: 3x = 30. Divide by 3: x = 10.
11. x = 2
Subtract 2x from both sides: 5x + 3 = 13. Subtract 3: 5x = 10. Divide by 5: x = 2.
12. x = -2
Subtract 6x from both sides: 1x + 10 = 8. Subtract 10: 1x = -2. Divide by 1: x = -2.
Worked examples
Solve x + 13 = 18.
- Subtract 13 from both sides: x = 5.
- Check: 1 × 5 + 13 = 18.
- Answer: x = 5
Solve 2x + 4 = 20.
- Subtract 4 from both sides: 2x = 16.
- Divide by 2: x = 8.
- Check: 2 × 8 + 4 = 20.
- Answer: x = 8
Solve 2x + 9 = 1x + 21.
- Subtract 1x from both sides: 1x + 9 = 21.
- Subtract 9: 1x = 12.
- Divide by 1: x = 12.
- Answer: x = 12
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 Collinearity
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Frequently asked
- Is this Grade 3 Introducing Collinearity quiz really free?
- Yes. Every quizzes 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 Position Vectors. Each one has its own free lesson, worksheet and quiz.
- How is the quiz 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 Collinearity?
- Move on to Working with Collinearity, Collinearity in Context, Position Vectors, Vector Proof, which build directly on this idea.
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