Gn tutorials maths worksheet on simple equations worksheet | Live ... - Free Printable

Let's solve each of the simple equations step by step. These are basic linear equations that involve one variable, and we'll isolate the variable on one side of the equation.

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1) $ x + 9 = 15 $

Step: Subtract 9 from both sides:
$$
x = 15 - 9 = 6
$$
✔ Answer: $ x = 6 $

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2) $ x - 6 = -3 $

Step: Add 6 to both sides:
$$
x = -3 + 6 = 3
$$
✔ Answer: $ x = 3 $

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3) $ 7v = 42 $

Step: Divide both sides by 7:
$$
v = \frac{42}{7} = 6
$$
✔ Answer: $ v = 6 $

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4) $ z + 6 = 8 $

Step: Subtract 6 from both sides:
$$
z = 8 - 6 = 2
$$
✔ Answer: $ z = 2 $

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5) $ 5w = 10 $

Step: Divide both sides by 5:
$$
w = \frac{10}{5} = 2
$$
✔ Answer: $ w = 2 $

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6) $ u - 7 = -5 $

Step: Add 7 to both sides:
$$
u = -5 + 7 = 2
$$
✔ Answer: $ u = 2 $

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7) $ y + 2 = 11 $

Step: Subtract 2 from both sides:
$$
y = 11 - 2 = 9
$$
✔ Answer: $ y = 9 $

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8) $ v - 3 = 4 $

Step: Add 3 to both sides:
$$
v = 4 + 3 = 7
$$
✔ Answer: $ v = 7 $

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9) $ x + 9 = 17 $

Step: Subtract 9 from both sides:
$$
x = 17 - 9 = 8
$$
✔ Answer: $ x = 8 $

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10) $ 2x = 4 $

Step: Divide both sides by 2:
$$
x = \frac{4}{2} = 2
$$
✔ Answer: $ x = 2 $

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✔ Final Answers:

1) $ x = 6 $
2) $ x = 3 $
3) $ v = 6 $
4) $ z = 2 $
5) $ w = 2 $
6) $ u = 2 $
7) $ y = 9 $
8) $ v = 7 $
9) $ x = 8 $
10) $ x = 2 $

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🔍 Explanation Summary:

- For addition/subtraction equations (like $ x + a = b $), move constants to the other side using opposite operations.
- For multiplication/division equations (like $ ax = b $), divide both sides by the coefficient of the variable.

These are foundational skills in algebra — solving for the unknown variable by keeping the equation balanced.

Let me know if you'd like this as a printable answer key!