Let's solve each equation step by step to find the value of
y.
---
1. 3y = 27
Divide both sides by 3:
$$ y = \frac{27}{3} = 9 $$
---
2. 9y = 81
Divide both sides by 9:
$$ y = \frac{81}{9} = 9 $$
---
3. 12y = 132
Divide both sides by 12:
$$ y = \frac{132}{12} = 11 $$
---
4. 6y = 72
Divide both sides by 6:
$$ y = \frac{72}{6} = 12 $$
---
5. 20y = 120
Divide both sides by 20:
$$ y = \frac{120}{20} = 6 $$
---
6. 15y = 75
Divide both sides by 15:
$$ y = \frac{75}{15} = 5 $$
---
7. 10y = 160
Divide both sides by 10:
$$ y = \frac{160}{10} = 16 $$
---
8. 9y = 72
Divide both sides by 9:
$$ y = \frac{72}{9} = 8 $$
---
9. 11y = 88
Divide both sides by 11:
$$ y = \frac{88}{11} = 8 $$
---
10. 4y = 36
Divide both sides by 4:
$$ y = \frac{36}{4} = 9 $$
---
11. 5y + 15 = 65
Subtract 15 from both sides:
$$ 5y = 50 $$
Divide by 5:
$$ y = \frac{50}{5} = 10 $$
---
12. 9y + 20 = 83
Subtract 20 from both sides:
$$ 9y = 63 $$
Divide by 9:
$$ y = \frac{63}{9} = 7 $$
---
13. 7y + 9 = 44
Subtract 9 from both sides:
$$ 7y = 35 $$
Divide by 7:
$$ y = \frac{35}{7} = 5 $$
---
14. 4y + 18 = 34
Subtract 18 from both sides:
$$ 4y = 16 $$
Divide by 4:
$$ y = \frac{16}{4} = 4 $$
---
15. 6y + 40 = 100
Subtract 40 from both sides:
$$ 6y = 60 $$
Divide by 6:
$$ y = \frac{60}{6} = 10 $$
---
16. 12y - 15 = 45
Add 15 to both sides:
$$ 12y = 60 $$
Divide by 12:
$$ y = \frac{60}{12} = 5 $$
---
17. 8y - 22 = 42
Add 22 to both sides:
$$ 8y = 64 $$
Divide by 8:
$$ y = \frac{64}{8} = 8 $$
---
18. 5y - 8 = 27
Add 8 to both sides:
$$ 5y = 35 $$
Divide by 5:
$$ y = \frac{35}{5} = 7 $$
---
19. 11y - 13 = 53
Add 13 to both sides:
$$ 11y = 66 $$
Divide by 11:
$$ y = \frac{66}{11} = 6 $$
---
20. 3y - 24 = 0
Add 24 to both sides:
$$ 3y = 24 $$
Divide by 3:
$$ y = \frac{24}{3} = 8 $$
---
✔ Final Answers:
| Problem | Answer |
|--------|--------|
| 1 | 9 |
| 2 | 9 |
| 3 | 11 |
| 4 | 12 |
| 5 | 6 |
| 6 | 5 |
| 7 | 16 |
| 8 | 8 |
| 9 | 8 |
| 10 | 9 |
| 11 | 10 |
| 12 | 7 |
| 13 | 5 |
| 14 | 4 |
| 15 | 10 |
| 16 | 5 |
| 17 | 8 |
| 18 | 7 |
| 19 | 6 |
| 20 | 8 |
---
🔍 Explanation:
Each problem involves solving a linear equation for
y. The steps are:
1.
Isolate the term with y (by adding/subtracting constants).
2.
Solve for y by dividing both sides by the coefficient of y.
These are foundational algebra skills used to find unknown values in equations. Let me know if you'd like this in a printable format!
Parent Tip: Review the logic above to help your child master the concept of math worksheet grade 5.
