# Simplifying Using “The Order of Operations” Worksheet

Simplify each expression using the Order of Operations.

## Checking Your Answers

Click “Show Answer” underneath the problem to see the answer. Or click the “Show Answers” button at the bottom of the page to see all the answers at once.

If you need assistance with a particular problem, click the “step-by-step” link for an in depth solution.

## Example:

`Equation: 4(x^2 + 2) - 3`
`Answer: 4x^2 + 5`

## Quiz:

1. `Equation: 42 / 22`
`Answer: 4`

2. `Equation: 42 * 22`
`Answer: 64`

3. `Equation: (5 - 1)3`
`Answer: 64`

4. `Equation: 51 + 10 * 10`
`Answer: 151`

5. `Equation: (2a + 12)(3a + 3) + a`
`Answer: 6a^2 + 43a + 36`

6. `Equation: (2a + 6 * 2)(3a + 3) + a`
`Answer: 6a^2 + 43a + 36`

7. `Equation: [2(1 + 3) + 1] * 7 + 1`
`Answer: 64`

8. `Equation: 100 / 2 * 3`
`Answer: 150`

9. `Equation: 2[a(a + b) + b(a + b)]`
`Answer: 2a^2 + 4ab + 2b^2`

10. `Equation: 5 + 9 / 3 + 4`
`Answer: 12`

11. `Equation: a + a(x + 1)`
`Answer: ax + 2a`

12. `Equation: (5 - x(4 - 1))2`
`Answer: 25 - 30x + 9x^2`

13. `Equation: 8 + 8 * (x + y) * 8`
`Answer: 8 + 64x + 64y`

14. `Equation: (y + x + x - y) / x`
`Answer: 2`

15. `Equation: 3(u + v)2`
`Answer: 3u^2 + 6uv + 3v^2`

16. `Equation: (3u + 3v)2 - 3(u - v)2`
`Answer: 6u^2 + 24uv + 6v^2`

17. `Equation: j - 40 / (7 - 3) + j`
`Answer: -10 + 2j`

18. `Equation: (p + q)(p2 / p + q + q)`
`Answer: p^2 + 3pq + 2q^2`

19. `Equation: 2(3(4 + p) + p) + p`
`Answer: 24 + 9p`

20. `Equation: (1 + 9)2 * 2`
`Answer: 200`

## Related Pages

Simplifying Using “The Order of Operations” Lesson

Brush up on your knowledge of the techniques needed to solve problems on this page.

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