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Mathematics Worksheet

📶 Linear Inequalities

Chapter: Algebra I · Level ★★☆ · Time: 30 min
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After this worksheet you can
Solve linear inequalities.Reverse the sign when multiplying or dividing by a negative.Represent solutions on a number line (open/closed).Interpret inequality solutions.

🧠 Section A · Concept Check ● BEGINNER 4 × 1 = 4

1Solve 5x − 3 > 12:
2Solve −4x + 8 < 20:
3Solve 6x + 5 ≤ 29:
4When dividing an inequality by a negative, you must:

🧮 Section B · Problem Solving ● INTERMEDIATE 2 + 3×3 = 11

5When you divide by a negative, the inequality sign.
6Solving 5x − 3 > 12 gives x 3.
7Solve for x: 5x − 3 > 12.
8Solve for x: −4x + 8 < 20.
9Solve for x: 6x + 5 ≤ 29.

🚀 Section C · Challenge ● CHALLENGE 5

10Solve for x: −2x − 1 ≥ 9.
💭 Reflection — the most useful thing I learned:
A ___/4   B ___/11   C ___/5   Total ___/20 Teacher's Signature Parent's Signature
✂ answer key — fold or cut before handing out

1-A   2-A   3-A   4-B  |  5 reverse   6 >   7 = x > 3   8 = x > −3   9 = x ≤ 4  |  10 = x ≤ −5

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