Two Step Equations Worksheets - Math Monks - Free Printable

Let's solve each of the two-step equations step by step, following the method shown in the example: using inverse operations to isolate the variable.

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🔹 Example Review (from worksheet):

We are given:
- $ 2x + 5 = 21 $
- $ 5 + \frac{y}{6} = 13 $

#### Example 1: $ 2x + 5 = 21 $
1. Subtract 5 from both sides:
$$
2x = 16
$$
2. Divide both sides by 2:
$$
x = 8
$$

#### Example 2: $ 5 + \frac{y}{6} = 13 $
1. Subtract 5 from both sides:
$$
\frac{y}{6} = 8
$$
2. Multiply both sides by 6:
$$
y = 48
$$

Now let’s apply this method to the problems.

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✔ Problem 1: $ \frac{n}{4} + 3 = 2 $

We want to isolate $ n $.

1. Subtract 3 from both sides:
$$
\frac{n}{4} = 2 - 3 = -1
$$

2. Multiply both sides by 4:
$$
n = -1 \times 4 = -4
$$

✔ Answer: $ n = -4 $

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✔ Problem 2: $ 3d + 4 = 16 $

1. Subtract 4 from both sides:
$$
3d = 12
$$

2. Divide both sides by 3:
$$
d = 4
$$

✔ Answer: $ d = 4 $

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✔ Problem 3: $ \frac{c}{2} - 5 = 25 $

1. Add 5 to both sides:
$$
\frac{c}{2} = 30
$$

2. Multiply both sides by 2:
$$
c = 60
$$

✔ Answer: $ c = 60 $

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✔ Problem 4: $ 8b + 5 = 29 $

1. Subtract 5 from both sides:
$$
8b = 24
$$

2. Divide both sides by 8:
$$
b = 3
$$

✔ Answer: $ b = 3 $

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✔ Problem 5: $ 5d - 11 = 24 $

1. Add 11 to both sides:
$$
5d = 35
$$

2. Divide both sides by 5:
$$
d = 7
$$

✔ Answer: $ d = 7 $

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✔ Problem 6: $ \frac{m}{4} - 2 = 5 $

1. Add 2 to both sides:
$$
\frac{m}{4} = 7
$$

2. Multiply both sides by 4:
$$
m = 28
$$

✔ Answer: $ m = 28 $

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✔ Final Answers:

1. $ n = -4 $
2. $ d = 4 $
3. $ c = 60 $
4. $ b = 3 $
5. $ d = 7 $
6. $ m = 28 $

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Let me know if you'd like these written neatly for a worksheet!