Algebra 1 Worksheets | Equations Worksheets - Free Printable

Let's solve each equation step by step and round the answers to the nearest hundredth (two decimal places) as instructed.

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1) $ v - 29\frac{4}{5} = \frac{1}{5} $

Convert mixed numbers to improper fractions:
- $ 29\frac{4}{5} = \frac{149}{5} $
- $ \frac{1}{5} $ stays the same

Now:
$$
v - \frac{149}{5} = \frac{1}{5}
$$
Add $ \frac{149}{5} $ to both sides:
$$
v = \frac{1}{5} + \frac{149}{5} = \frac{150}{5} = 30
$$

✔ Answer: $ v = 30.00 $

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2) $ -8 = c - 5 $

Add 5 to both sides:
$$
-8 + 5 = c \Rightarrow c = -3
$$

✔ Answer: $ c = -3.00 $

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3) $ n + 3 = -9 $

Subtract 3 from both sides:
$$
n = -9 - 3 = -12
$$

✔ Answer: $ n = -12.00 $

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4) $ 4a = 28 $

Divide both sides by 4:
$$
a = \frac{28}{4} = 7
$$

✔ Answer: $ a = 7.00 $

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5) $ 24\frac{2}{9} + z = 5\frac{5}{6} $

Convert to improper fractions:
- $ 24\frac{2}{9} = \frac{218}{9} $
- $ 5\frac{5}{6} = \frac{35}{6} $

Now:
$$
\frac{218}{9} + z = \frac{35}{6}
$$
Subtract $ \frac{218}{9} $ from both sides:
$$
z = \frac{35}{6} - \frac{218}{9}
$$

Find common denominator (LCM of 6 and 9 is 18):
- $ \frac{35}{6} = \frac{105}{18} $
- $ \frac{218}{9} = \frac{436}{18} $

$$
z = \frac{105}{18} - \frac{436}{18} = \frac{-331}{18} \approx -18.388...
$$

Round to nearest hundredth:
$$
z \approx -18.39
$$

✔ Answer: $ z = -18.39 $

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6) $ \frac{b}{7} = -5.6 $

Multiply both sides by 7:
$$
b = -5.6 \times 7 = -39.2
$$

✔ Answer: $ b = -39.20 $

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7) $ f - 6.2 = 5.6 $

Add 6.2 to both sides:
$$
f = 5.6 + 6.2 = 11.8
$$

✔ Answer: $ f = 11.80 $

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8) $ s - \frac{2}{9} = 15 $

Add $ \frac{2}{9} $ to both sides:
$$
s = 15 + \frac{2}{9} = \frac{135}{9} + \frac{2}{9} = \frac{137}{9} \approx 15.222...
$$

Round to nearest hundredth:
$$
s \approx 15.22
$$

✔ Answer: $ s = 15.22 $

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9) $ \frac{2}{7} = y + \frac{2}{3} $

Subtract $ \frac{2}{3} $ from both sides:
$$
y = \frac{2}{7} - \frac{2}{3}
$$

Common denominator is 21:
- $ \frac{2}{7} = \frac{6}{21} $
- $ \frac{2}{3} = \frac{14}{21} $

$$
y = \frac{6}{21} - \frac{14}{21} = \frac{-8}{21} \approx -0.38095...
$$

Round to nearest hundredth:
$$
y \approx -0.38
$$

✔ Answer: $ y = -0.38 $

---

10) $ 28 = -7h $

Divide both sides by -7:
$$
h = \frac{28}{-7} = -4
$$

✔ Answer: $ h = -4.00 $

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✔ Final Answers:

| Problem | Answer |
|--------|--------------|
| 1) | $ v = 30.00 $ |
| 2) | $ c = -3.00 $ |
| 3) | $ n = -12.00 $ |
| 4) | $ a = 7.00 $ |
| 5) | $ z = -18.39 $ |
| 6) | $ b = -39.20 $ |
| 7) | $ f = 11.80 $ |
| 8) | $ s = 15.22 $ |
| 9) | $ y = -0.38 $ |
| 10) | $ h = -4.00 $ |

Let me know if you'd like these written in a printable format or need explanations for any steps!