Algebra online exercise for Grade 6 - Free Printable

Let's solve each equation step by step. These are basic algebraic equations where we need to isolate the variable $ x $ on one side of the equation.

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1. $ 21 + x = 26 $

Subtract 21 from both sides:
$$
x = 26 - 21 = 5
$$
✔ Answer: $ x = 5 $

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2. $ 12 + 2x = 16 $

Subtract 12 from both sides:
$$
2x = 16 - 12 = 4
$$
Divide both sides by 2:
$$
x = \frac{4}{2} = 2
$$
✔ Answer: $ x = 2 $

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3. $ 4x - 2 = 10 $

Add 2 to both sides:
$$
4x = 10 + 2 = 12
$$
Divide both sides by 4:
$$
x = \frac{12}{4} = 3
$$
✔ Answer: $ x = 3 $

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4. $ x + 7 = 12 $

Subtract 7 from both sides:
$$
x = 12 - 7 = 5
$$
✔ Answer: $ x = 5 $

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5. $ x + 15 = 28 $

Subtract 15 from both sides:
$$
x = 28 - 15 = 13
$$
✔ Answer: $ x = 13 $

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6. $ 6x - 12 = 12 $

Add 12 to both sides:
$$
6x = 12 + 12 = 24
$$
Divide both sides by 6:
$$
x = \frac{24}{6} = 4
$$
✔ Answer: $ x = 4 $

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7. $ 9x - 18 = 9 $

Add 18 to both sides:
$$
9x = 9 + 18 = 27
$$
Divide both sides by 9:
$$
x = \frac{27}{9} = 3
$$
✔ Answer: $ x = 3 $

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8. $ x + 24 = 36 $

Subtract 24 from both sides:
$$
x = 36 - 24 = 12
$$
✔ Answer: $ x = 12 $

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9. $ 7x - 4 = 10 $

Add 4 to both sides:
$$
7x = 10 + 4 = 14
$$
Divide both sides by 7:
$$
x = \frac{14}{7} = 2
$$
✔ Answer: $ x = 2 $

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10. $ x + 14 = 32 $

Subtract 14 from both sides:
$$
x = 32 - 14 = 18
$$
✔ Answer: $ x = 18 $

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✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 1 | $ x = 5 $ |
| 2 | $ x = 2 $ |
| 3 | $ x = 3 $ |
| 4 | $ x = 5 $ |
| 5 | $ x = 13 $ |
| 6 | $ x = 4 $ |
| 7 | $ x = 3 $ |
| 8 | $ x = 12 $ |
| 9 | $ x = 2 $ |
| 10 | $ x = 18 $ |

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Let me know if you'd like this in a printable format or with steps written out more formally!