Pre-Algebra Worksheets | Equations Worksheets - Free Printable

To solve these problems, we need to find the value of $ y $ that makes each equation true. Since all equations involve multiplication and one unknown variable ($ y $), we can isolate $ y $ by dividing both sides of the equation by the known number.

Let’s go through a few examples step by step:

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Problem 1:
$ y \times 6 = 12 $
We want to find what number times 6 equals 12.
Divide both sides by 6:
$ y = 12 ÷ 6 = 2 $ ✔

Problem 2:
$ 9 \times y = 18 $
Divide both sides by 9:
$ y = 18 ÷ 9 = 2 $ ✔

Problem 3:
$ y \times 5 = 15 $
Divide both sides by 5:
$ y = 15 ÷ 5 = 3 $ ✔

Problem 4:
$ 1 \times y = 6 $
Multiplying by 1 doesn’t change the number, so:
$ y = 6 $ ✔

Problem 5:
$ y \times 3 = 12 $
Divide both sides by 3:
$ y = 12 ÷ 3 = 4 $ ✔

Problem 6:
$ 9 \times y = 9 $
Divide both sides by 9:
$ y = 9 ÷ 9 = 1 $ ✔

Problem 7:
$ 9 \times y = 63 $
Divide both sides by 9:
$ y = 63 ÷ 9 = 7 $ ✔

Problem 8:
$ 2 \times y = 2 $
Divide both sides by 2:
$ y = 2 ÷ 2 = 1 $ ✔

Problem 9:
$ y \times 9 = 81 $
Divide both sides by 9:
$ y = 81 ÷ 9 = 9 $ ✔

Problem 10:
$ y \times 1 = 5 $
Again, multiplying by 1 gives the same number:
$ y = 5 $ ✔

Problem 11:
$ 7 \times y = 49 $
Divide both sides by 7:
$ y = 49 ÷ 7 = 7 $ ✔

Problem 12:
$ 7 \times y = 7 $
Divide both sides by 7:
$ y = 7 ÷ 7 = 1 $ ✔

Problem 13:
$ y \times 4 = 36 $
Divide both sides by 4:
$ y = 36 ÷ 4 = 9 $ ✔

Problem 14:
$ y \times 9 = 27 $
Divide both sides by 9:
$ y = 27 ÷ 9 = 3 $ ✔

Problem 15:
$ 4 \times y = 24 $
Divide both sides by 4:
$ y = 24 ÷ 4 = 6 $ ✔

Problem 16:
$ 6 \times y = 48 $
Divide both sides by 6:
$ y = 48 ÷ 6 = 8 $ ✔

Problem 17:
$ 8 \times y = 40 $
Divide both sides by 8:
$ y = 40 ÷ 8 = 5 $ ✔

Problem 18:
$ 3 \times y = 9 $
Divide both sides by 3:
$ y = 9 ÷ 3 = 3 $ ✔

Problem 19:
$ 6 \times y = 30 $
Divide both sides by 6:
$ y = 30 ÷ 6 = 5 $ ✔

Problem 20:
$ y \times 5 = 25 $
Divide both sides by 5:
$ y = 25 ÷ 5 = 5 $ ✔

Problem 21:
$ y \times 5 = 30 $
Divide both sides by 5:
$ y = 30 ÷ 5 = 6 $ ✔

All calculations are verified.

Final Answer:
1. 2
2. 2
3. 3
4. 6
5. 4
6. 1
7. 7
8. 1
9. 9
10. 5
11. 7
12. 1
13. 9
14. 3
15. 6
16. 8
17. 5
18. 3
19. 5
20. 5
21. 6