Simple equations worksheet - Free Printable

Let’s solve each problem one by one, step by step.

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Problem 1: The solution of 7n + 5 = 12

We want to find the value of n that makes this equation true.

Step 1: Subtract 5 from both sides
→ 7n + 5 - 5 = 12 - 5
→ 7n = 7

Step 2: Divide both sides by 7
→ n = 7 ÷ 7
→ n = 1

Check: Plug n=1 back in → 7(1) + 5 = 7 + 5 = 12 ✔

So, correct answer is c) 1

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Problem 2: The solution of equation m/3 = 3

We want to find m.

Step 1: Multiply both sides by 3 to cancel the denominator
→ (m/3) × 3 = 3 × 3
→ m = 9

Check: 9 ÷ 3 = 3 ✔

Correct answer is c) 9

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Problem 3: The solution of 3(x – 1) + 8 = 11

Step 1: Subtract 8 from both sides
→ 3(x – 1) = 11 - 8
→ 3(x – 1) = 3

Step 2: Divide both sides by 3
→ x – 1 = 1

Step 3: Add 1 to both sides
→ x = 2

Check: 3(2 – 1) + 8 = 3(1) + 8 = 3 + 8 = 11 ✔

Correct answer is a) 2

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Problem 4: Which equation can be constructed with x = 2?

This means: plug x = 2 into each option and see which one becomes a true statement.

a) x + 4 = 8 → 2 + 4 = 6 ≠ 8 ✘
b) 3x – 1 = 2 → 3(2) – 1 = 6 – 1 = 5 ≠ 2 ✘
c) x – 2 = 2 → 2 – 2 = 0 ≠ 2 ✘
d) x + 5 = 7 → 2 + 5 = 7 ✔

Only d) works.

Correct answer is d) x + 5 = 7

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Problem 5: The solution of 10 – 3y = 1

Step 1: Subtract 10 from both sides
→ –3y = 1 – 10
→ –3y = –9

Step 2: Divide both sides by –3
→ y = (–9) ÷ (–3)
→ y = 3

Check: 10 – 3(3) = 10 – 9 = 1 ✔

Correct answer is d) 3

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Final Answer:
1) c) 1
2) c) 9
3) a) 2
4) d) x + 5 = 7
5) d) 3