Free Grade 3 Rules and Methods in Introducing Two-step Equations Techniques Quizzes
Free Grade 3 quizzes for Rules and Methods in Introducing Two-step Equations Techniques: 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
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify rules and methods in introducing two-step equations techniques
Identify rules and methods in introducing two-step equations techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain rules and methods in introducing two-step equations techniques
Explain rules and methods in introducing two-step equations techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate rules and methods in introducing two-step equations techniques
Calculate rules and methods in introducing two-step equations techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare rules and methods in introducing two-step equations techniques
Compare rules and methods in introducing two-step equations techniques 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 Rules and Methods in Introducing Two-step Equations Techniques 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 + 14 = 16.[1]
- 2.Solve x + 4 = 10.[1]
- 3.Solve x + 10 = 12.[1]
- 4.Solve x + 19 = 26.[1]
- 5.Solve 5x + 19 = 39.[2]
- 6.Solve 5x + 8 = 13.[2]
- 7.Solve 2x + 2 = 8.[2]
- 8.Solve 6x + 17 = -1.[2]
- 9.Solve 5x + 7 = 2x + 22.[3]
- 10.Solve 5x + 3 = 3x + -17.[3]
- 11.Solve 7x + 8 = 5x + -2.[3]
- 12.Solve 4x + 16 = 2x + 16.[3]
Show answers and working
1. x = 2
Subtract 14 from both sides: x = 2. Check: 1 × 2 + 14 = 16.
2. x = 6
Subtract 4 from both sides: x = 6. Check: 1 × 6 + 4 = 10.
3. x = 2
Subtract 10 from both sides: x = 2. Check: 1 × 2 + 10 = 12.
4. x = 7
Subtract 19 from both sides: x = 7. Check: 1 × 7 + 19 = 26.
5. x = 4
Subtract 19 from both sides: 5x = 20. Divide by 5: x = 4. Check: 5 × 4 + 19 = 39.
6. x = 1
Subtract 8 from both sides: 5x = 5. Divide by 5: x = 1. Check: 5 × 1 + 8 = 13.
7. x = 3
Subtract 2 from both sides: 2x = 6. Divide by 2: x = 3. Check: 2 × 3 + 2 = 8.
8. x = -3
Subtract 17 from both sides: 6x = -18. Divide by 6: x = -3. Check: 6 × -3 + 17 = -1.
9. x = 5
Subtract 2x from both sides: 3x + 7 = 22. Subtract 7: 3x = 15. Divide by 3: x = 5.
10. x = -10
Subtract 3x from both sides: 2x + 3 = -17. Subtract 3: 2x = -20. Divide by 2: x = -10.
11. x = -5
Subtract 5x from both sides: 2x + 8 = -2. Subtract 8: 2x = -10. Divide by 2: x = -5.
12. x = 0
Subtract 2x from both sides: 2x + 16 = 16. Subtract 16: 2x = 0. Divide by 2: x = 0.
Worked examples
Solve x + 4 = 8.
- Subtract 4 from both sides: x = 4.
- Check: 1 × 4 + 4 = 8.
- Answer: x = 4
Solve 7x + 13 = 90.
- Subtract 13 from both sides: 7x = 77.
- Divide by 7: x = 11.
- Check: 7 × 11 + 13 = 90.
- Answer: x = 11
Solve 3x + 17 = 2x + 17.
- Subtract 2x from both sides: 1x + 17 = 17.
- Subtract 17: 1x = 0.
- Divide by 1: x = 0.
- Answer: x = 0
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 Rules and Methods in Introducing Two-step Equations Techniques
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 Rules and Methods in Introducing Two-step Equations Techniques 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 Key Vocabulary of Introducing Two-step Equations Techniques, Introduction to Introducing Two-step Equations Techniques, Introducing Two-step Equations Essentials. 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 Rules and Methods in Introducing Two-step Equations Techniques?
- Move on to Working with Introducing Two-step Equations Techniques, Introducing Two-step Equations Techniques in Examinations, Introducing Two-step Equations Essentials, Introducing Two-step Equations Word Problems, which build directly on this idea.
Related resources
- Free Rules and Methods in Introducing Two-step Equations Techniques worksheets
- Free Rules and Methods in Introducing Two-step Equations Techniques flashcards
- Free Rules and Methods in Introducing Two-step Equations Techniques lessons
- Free Rules and Methods in Introducing Two-step Equations Techniques lesson plans
- Rules and Methods in Introducing Two-step Equations Techniques in the knowledge graph
- Free AI Tutor
Stuck on Rules and Methods in Introducing Two-step Equations Techniques? The AI Tutor already knows this page, its prerequisites and its common mistakes.
Open the free AI Tutor