Solving Equations Algebra 1 Worksheet Printable - Free Printable

Let's solve each equation step by step. These are all one- or two-step equations, so we'll isolate the variable using inverse operations.

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1. $ 12 + b = 42 $

Subtract 12 from both sides:
$$
b = 42 - 12 = 30
$$

✔ Answer: $ b = 30 $

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2. $ m - 12 = -16 $

Add 12 to both sides:
$$
m = -16 + 12 = -4
$$

✔ Answer: $ m = -4 $

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3. $ -224 = 4x $

Divide both sides by 4:
$$
x = \frac{-224}{4} = -56
$$

✔ Answer: $ x = -56 $

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4. $ -3 = \frac{b}{12} $

Multiply both sides by 12:
$$
b = -3 \times 12 = -36
$$

✔ Answer: $ b = -36 $

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5. $ \frac{v}{4} = 12 $

Multiply both sides by 4:
$$
v = 12 \times 4 = 48
$$

✔ Answer: $ v = 48 $

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6. $ 2(n + 3) = -12 $

First, divide both sides by 2:
$$
n + 3 = -6
$$

Then subtract 3:
$$
n = -6 - 3 = -9
$$

✔ Answer: $ n = -9 $

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7. $ -3 + \frac{x}{5} = -8 $

Add 3 to both sides:
$$
\frac{x}{5} = -8 + 3 = -5
$$

Multiply both sides by 5:
$$
x = -5 \times 5 = -25
$$

✔ Answer: $ x = -25 $

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8. $ -2 = \frac{x + 2}{6} $

Multiply both sides by 6:
$$
-12 = x + 2
$$

Subtract 2:
$$
x = -12 - 2 = -14
$$

✔ Answer: $ x = -14 $

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9. $ 2(n + 6) = -8 $

Divide both sides by 2:
$$
n + 6 = -4
$$

Subtract 6:
$$
n = -4 - 6 = -10
$$

✔ Answer: $ n = -10 $

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10. $ -3x - 20 = -155 $

Add 20 to both sides:
$$
-3x = -155 + 20 = -135
$$

Divide by -3:
$$
x = \frac{-135}{-3} = 45
$$

✔ Answer: $ x = 45 $

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✔ Final Answers:

1. $ b = 30 $
2. $ m = -4 $
3. $ x = -56 $
4. $ b = -36 $
5. $ v = 48 $
6. $ n = -9 $
7. $ x = -25 $
8. $ x = -14 $
9. $ n = -10 $
10. $ x = 45 $

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