5th Grade Algebra Worksheets - Free Printable

I'll work through each problem step by step to verify the answers.

Part 1: Is the equation true for the given value?

Let me check each one:

1. x + 5 = 17, x = 22
- Substitute: 22 + 5 = 27 ≠ 17 → False

2. 3 - y = 1, y = 2
- Substitute: 3 - 2 = 1 ✓ → True

3. 4x = 24, x = 6
- Substitute: 4 × 6 = 24 ✓ → True

4. g - 7 = 11, g = 18
- Substitute: 18 - 7 = 11 ✓ → True

5. s ÷ 7 = 3, s = 21
- Substitute: 21 ÷ 7 = 3 ✓ → True

6. u + 12 = 31, u = 20
- Substitute: 20 + 12 = 32 ≠ 31 → False

7. h - 13 = 21, h = 34
- Substitute: 34 - 13 = 21 ✓ → True

8. 64 ÷ n = 16, n = 8
- Substitute: 64 ÷ 8 = 8 ≠ 16 → False (should be 4)

9. 20 × t = 300, t = 160
- Substitute: 20 × 160 = 3200 ≠ 300 → False (t should be 15)

10. 18 - c = 10, c = 8
- Substitute: 18 - 8 = 10 ✓ → True

11. m + 40 = 92, m = 50
- Substitute: 50 + 40 = 90 ≠ 92 → False (m should be 52)

12. x ÷ 5 = 15, x = 75
- Substitute: 75 ÷ 5 = 15 ✓ → True

13. 3k = 27, k = 9
- Substitute: 3 × 9 = 27 ✓ → True

14. z - 9 = 61, z = 52
- Substitute: 52 - 9 = 43 ≠ 61 → False (z should be 70)

15. 12 + v = 21, v = 7
- Wait, let me recalculate: 12 + 7 = 19 ≠ 21 → False (v should be 9)

16. 5w = 20, w = 4
- Substitute: 5 × 4 = 20 ✓ → True

17. n - 6 = 24, n = 18
- Substitute: 18 - 6 = 12 ≠ 24 → False (n should be 30)

18. k ÷ 8 = 9, k = 56
- Substitute: 56 ÷ 8 = 7 ≠ 9 → False (k should be 72)

19. m + 12 = 61, m = 49
- Substitute: 49 + 12 = 61 ✓ → True

20. j + 17 = 86, j = 79
- Wait, let me recalculate: 79 + 17 = 96 ≠ 86 → False (j should be 69)

Let me double-check #15 and #20:
- #15: 12 + v = 21, if v = 7, then 12 + 7 = 19 ≠ 21. So False is correct.
- #20: j + 17 = 86, if j = 79, then 79 + 17 = 96 ≠ 86. So False is correct.

Part 2: Write an equation for each situation

21. Jim had 18 CDs. He bought x more. Then he had 21 CDs.
- Equation: 18 + x = 21

22. Rolando baked 4 loaves of bread, each weighing w oz. The total weight was 80 oz.
- Equation: 4w = 80

23. Veronica had m marbles. She gave 5 to Marco. She had 12 marbles left.
- Equation: m - 5 = 12

Final Answer:
1. False
2. True
3. True
4. True
5. True
6. False
7. True
8. False
9. False
10. True
11. False
12. True
13. True
14. False
15. False
16. True
17. False
18. False
19. True
20. False
21. 18 + x = 21
22. 4w = 80
23. m - 5 = 12