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Equations and Inequalities Practice

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Equations and Inequalities Practice worksheet preview

Equations and Inequalities Practice

Mathematical equations and balance scales

🎯 WALT & Success Criteria

We Are Learning To: Solve linear equations and one-variable inequalities using algebraic techniques and verify solutions by substitution.

Success Criteria:

✓ I can solve one-step and two-step linear equations

✓ I can solve equations with brackets and variables on both sides

✓ I can solve one-variable inequalities

✓ I can verify my solutions by substitution

✓ I can solve simple word problems involving equations

📚 Part A: Linear Equations (Questions 1-12)

1. Solve: x + 7 = 15
2. Solve: y - 9 = 4
3. Solve: 3m = 21
4. Solve: n ÷ 4 = 8
5. Solve: 2x + 5 = 17
6. Solve: 4y - 3 = 13
7. Solve: 3(x + 2) = 18
8. Solve: 2(m - 4) = 10
9. Solve: 3x + 7 = x + 19
10. Solve: 5y - 2 = 2y + 10
11. Solve: 4(x - 1) = 2x + 8
12. Solve: 3(2y + 1) = 4y + 11

📊 Part B: Inequalities & Word Problems (Questions 13-20)

13. Solve: x + 6 > 10
14. Solve: 2y ≤ 14
15. Solve: 3x - 4 < 8
16. Solve: 5 - 2m ≥ 1
17. A number increased by 8 equals 23. Find the number.
18. Three times a number minus 7 equals 14. Find the number.
19. Sarah has $45. She buys a book for $12 and some pens costing $3 each. If she has $18 left, how many pens did she buy?
20. Extension: The perimeter of a rectangle is 28 metres. If the length is 3 metres more than twice the width, find the dimensions.

Verification Check: Choose any 2 questions above and verify your solutions by substitution in the space below.

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