Let's solve each of these algebra problems step by step.
---
1. $ 8 + \frac{35}{w} = 15 $
Subtract 8 from both sides:
$$
\frac{35}{w} = 7
$$
Now multiply both sides by $ w $:
$$
35 = 7w
$$
Divide by 7:
$$
w = 5
$$
✔ Answer: d. 5
---
2. $ 5 = \frac{s}{8} - 3 $
Add 3 to both sides:
$$
8 = \frac{s}{8}
$$
Multiply both sides by 8:
$$
s = 64
$$
✔ Answer: c. 64
---
3. $ 6 = \frac{27}{n} - 3 $
Add 3 to both sides:
$$
9 = \frac{27}{n}
$$
Multiply both sides by $ n $:
$$
9n = 27
$$
Divide by 9:
$$
n = 3
$$
✔ Answer: b. 3
---
4. $ 11 + \frac{72}{z} = 20 $
Subtract 11:
$$
\frac{72}{z} = 9
$$
Multiply both sides by $ z $:
$$
72 = 9z
$$
Divide by 9:
$$
z = 8
$$
✔ Answer: d. 8
---
5. $ 10 = \frac{s}{7} - 1 $
Add 1:
$$
11 = \frac{s}{7}
$$
Multiply by 7:
$$
s = 77
$$
✔ Answer: c. 77
---
6. $ 5y - 15 = 60 $
Add 15:
$$
5y = 75
$$
Divide by 5:
$$
y = 15
$$
✔ Answer: d. 15
---
7. $ 101 = 5 + 4x $
Subtract 5:
$$
96 = 4x
$$
Divide by 4:
$$
x = 24
$$
✔ Answer: b. 24
---
8. $ \frac{87}{y} - 10 = 19 $
Add 10:
$$
\frac{87}{y} = 29
$$
Multiply both sides by $ y $:
$$
87 = 29y
$$
Divide by 29:
$$
y = 3
$$
✔ Answer: b. 3
---
9. $ 66 + n - 17 = 76 $
Simplify left side:
$$
49 + n = 76
$$
Subtract 49:
$$
n = 27
$$
✔ Answer: d. 27
---
10. $ 3 + \frac{50}{s} = 28 $
Subtract 3:
$$
\frac{50}{s} = 25
$$
Multiply both sides by $ s $:
$$
50 = 25s
$$
Divide by 25:
$$
s = 2
$$
✔ Answer: c. 2
---
✔ Final Answers:
1.
d. 5
2.
c. 64
3.
b. 3
4.
d. 8
5.
c. 77
6.
d. 15
7.
b. 24
8.
b. 3
9.
d. 27
10.
c. 2
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Parent Tip: Review the logic above to help your child master the concept of mathematics pre algebra 4 5 worksheet.
