Free Grade 3 Solving Linear Inequalities in Context Flashcards
Free Grade 3 flashcards for Solving Linear Inequalities in Context: 12 real questions with a full answer key and worked solutions. An inequality gives a range of values. Solve it like an equation, but if you multiply or divide by a negative, flip the sign.
Free
Core
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify solving linear inequalities in context
Identify solving linear inequalities in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain solving linear inequalities in context
Explain solving linear inequalities in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate solving linear inequalities in context
Calculate solving linear inequalities in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare solving linear inequalities in context
Compare solving linear inequalities 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 Solving Linear Inequalities in Context works
An inequality gives a range of values. Solve it like an equation, but if you multiply or divide by a negative, flip the sign.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.Solve 5x + 5 ≤ 20.[1]
- 2.Solve 2x + 2 ≤ 14.[1]
- 3.Solve 3x + 8 ≤ 29.[1]
- 4.Solve 2x + 1 < 7.[1]
- 5.Solve 6x + 3 < 39.[2]
- 6.Solve 6x + 11 ≥ 35.[2]
- 7.Solve 4x + 1 < 29.[2]
- 8.Solve 6x + 8 ≤ 26.[2]
- 9.Solve 3x + 10 < 13 and list the positive integers that satisfy it (if finite).[3]
- 10.Solve 5x + 3 > 13 and list the positive integers that satisfy it (if finite).[3]
- 11.Solve 5x + 12 < 52 and list the positive integers that satisfy it (if finite).[3]
- 12.Solve 2x + 8 ≤ 22 and list the positive integers that satisfy it (if finite).[3]
Show answers and working
1. x ≤ 3
Subtract 5: 5x ≤ 15. Divide by 5 (positive, so the sign stays): x ≤ 3.
2. x ≤ 6
Subtract 2: 2x ≤ 12. Divide by 2 (positive, so the sign stays): x ≤ 6.
3. x ≤ 7
Subtract 8: 3x ≤ 21. Divide by 3 (positive, so the sign stays): x ≤ 7.
4. x < 3
Subtract 1: 2x < 6. Divide by 2 (positive, so the sign stays): x < 3.
5. x < 6
Subtract 3: 6x < 36. Divide by 6 (positive, so the sign stays): x < 6.
6. x ≥ 4
Subtract 11: 6x ≥ 24. Divide by 6 (positive, so the sign stays): x ≥ 4.
7. x < 7
Subtract 1: 4x < 28. Divide by 4 (positive, so the sign stays): x < 7.
8. x ≤ 3
Subtract 8: 6x ≤ 18. Divide by 6 (positive, so the sign stays): x ≤ 3.
9. x < 1
Subtract 10: 3x < 3. Divide by 3 (positive, so the sign stays): x < 1.
10. x > 2
Subtract 3: 5x > 10. Divide by 5 (positive, so the sign stays): x > 2.
11. x < 8
Subtract 12: 5x < 40. Divide by 5 (positive, so the sign stays): x < 8.
12. x ≤ 7
Subtract 8: 2x ≤ 14. Divide by 2 (positive, so the sign stays): x ≤ 7.
Worked examples
Solve 5x + 10 ≤ 40.
- Subtract 10: 5x ≤ 30.
- Divide by 5 (positive, so the sign stays): x ≤ 6.
- Answer: x ≤ 6
Solve 2x + 5 < 19.
- Subtract 5: 2x < 14.
- Divide by 2 (positive, so the sign stays): x < 7.
- Answer: x < 7
Solve 2x + 15 > 25 and list the positive integers that satisfy it (if finite).
- Subtract 15: 2x > 10.
- Divide by 2 (positive, so the sign stays): x > 5.
- Answer: x > 5
Interactive practice
Free, no account required — answer on screen or print it.
Common mistakes
What learners typically get wrong, and how to fix it.
Forgets to flip the sign when dividing by a negative.
Correction: Test a value to check the direction.
Mixes up < and ≤.
Correction: ≤ includes the boundary; show it with a filled circle.
Teacher tips
- · Show every answer on a number line.
Parent tips
- · Talk about 'at least' and 'no more than' on signs.
Real-life applications
- · Age limits, speed limits, minimum orders.
Assessment objectives
How mastery is evidenced, and which standards it maps to.
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Frequently asked
- Is this Grade 3 Solving Linear Inequalities in Context flashcards really free?
- Yes. Every flashcards 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 Solving Linear Inequalities, Introducing Solving Linear Inequalities, Inequality Notation. Each one has its own free lesson, worksheet and quiz.
- How is the flashcards 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 Solving Linear Inequalities in Context?
- Move on to Inequality Notation, Inequalities on a Number Line, which build directly on this idea.
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