Using Equations Printable (5th - 6th Grade) - TeacherVision - Free Printable

Let’s go through each problem step by step. We’re checking if the given value of the variable makes the equation true.

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1. x + 5 = 17, x = 22
Plug in x = 22: 22 + 5 = 27 → not 17 → False

2. 3 - y = 1, y = 2
3 - 2 = 1 → matches → True

3. 4x = 24, x = 6
4 × 6 = 24 → matches → True

4. g - 7 = 11, g = 18
18 - 7 = 11 → matches → True

5. s ÷ 7 = 3, s = 21
21 ÷ 7 = 3 → matches → True

6. u + 12 = 31, u = 20
20 + 12 = 32 → not 31 → False

7. h - 13 = 21, h = 34
34 - 13 = 21 → matches → True

8. 64 ÷ n = 16, n = 8
64 ÷ 8 = 8 → not 16 → False

Wait — let me double-check that:
64 ÷ 8 = 8? No! 8 × 8 = 64 → so 64 ÷ 8 = 8? That’s wrong.
Actually: 8 × 8 = 64 → so 64 ÷ 8 = 8? No — wait, 8 × 8 is 64, yes — but we need 64 ÷ n = 16 → so n should be 4, because 64 ÷ 4 = 16.
Given n = 8 → 64 ÷ 8 = 8 ≠ 16 → False

9. 20 × t = 300, t = 160
20 × 160 = 3200 → way too big → False

10. 18 - c = 10, c = 8
18 - 8 = 10 → matches → True

11. m + 40 = 92, m = 50
50 + 40 = 90 → not 92 → False

12. x ÷ 5 = 15, x = 75
75 ÷ 5 = 15 → matches → True

13. 3k = 27, k = 9
3 × 9 = 27 → matches → True

14. z - 9 = 61, z = 52
52 - 9 = 43 → not 61 → False

15. 12 + v = 21, v = 7
12 + 7 = 19 → not 21 → False

Wait — 12 + 7 = 19? Yes. But 21 - 12 = 9 → so v should be 9. Given v=7 → False

16. 5w = 20, w = 4
5 × 4 = 20 → matches → True

17. n - 6 = 24, n = 18
18 - 6 = 12 → not 24 → False

18. k ÷ 8 = 9, k = 56
56 ÷ 8 = 7 → not 9 → False

(Should be k = 72 for 72 ÷ 8 = 9)

19. m + 12 = 61, m = 49
49 + 12 = 61 → matches → True

20. j + 17 = 86, j = 79
79 + 17 = 96 → not 86 → False

Wait — 79 + 17: 79 + 10 = 89, +7 = 96 → yes → False

But let’s check what j should be: 86 - 17 = 69 → so j=79 is wrong → False

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Now write equations for situations:

21. Jim had 18 CDs. He bought x more. Then he had 21 CDs.
Start with 18, add x, end with 21 →
Equation: 18 + x = 21

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

23. Veronica had m marbles. She gave 5 to Marco. She had 12 marbles left.
Started with m, subtract 5, left with 12 →
Equation: m - 5 = 12

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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