Grade 9 Practice worksheet on Order of Operations with 20 math problems.

Let's solve each expression step by step using the Order of Operations (PEMDAS: Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).

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1) $(-8) - (-8) + 10 - 4$

- $-(-8) = +8$
- So: $-8 + 8 + 10 - 4$
- $0 + 10 - 4 = 6$

✔ Answer: 6

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2) $-\frac{25 \times 2}{5}$

- First: $25 \times 2 = 50$
- Then: $\frac{50}{5} = 10$
- Negative sign: $-10$

✔ Answer: -10

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3) $2 - \left(\frac{-30}{-6}\right) - (-5)$

- $\frac{-30}{-6} = 5$ (negative divided by negative is positive)
- So: $2 - 5 - (-5)$
- $2 - 5 = -3$
- $-3 - (-5) = -3 + 5 = 2$

✔ Answer: 2

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4) $(7 - |-7|) \times 2 + 6$

- $|-7| = 7$
- $7 - 7 = 0$
- $0 \times 2 = 0$
- $0 + 6 = 6$

✔ Answer: 6

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5) $\frac{9 \times 2}{3 - 1}$

- Numerator: $9 \times 2 = 18$
- Denominator: $3 - 1 = 2$
- $\frac{18}{2} = 9$

✔ Answer: 9

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6) $(-5) - 1 - ((-7) + 7)$

- $(-7) + 7 = 0$
- So: $-5 - 1 - 0 = -6$

✔ Answer: -6

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7) $(-8) - 2 \times (-2) - 8$

- First: $2 \times (-2) = -4$
- Now: $-8 - (-4) - 8$
- $-8 + 4 - 8 = -4 - 8 = -12$

✔ Answer: -12

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8) $(10 - 2 \times 9) \times 5$

- $2 \times 9 = 18$
- $10 - 18 = -8$
- $-8 \times 5 = -40$

✔ Answer: -40

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9) $(-4) - 4 + (-6) - 9$

- All are additions/subtractions:
- $-4 - 4 = -8$
- $-8 - 6 = -14$
- $-14 - 9 = -23$

✔ Answer: -23

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10) $(-8) + ((-1) - (-3)) \times (-3)$

- Inside parentheses: $(-1) - (-3) = -1 + 3 = 2$
- Then: $2 \times (-3) = -6$
- Now: $-8 + (-6) = -14$

✔ Answer: -14

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11) $\frac{20}{(-2)(-8) + 9}$

- Denominator: $(-2)(-8) = 16$
- $16 + 9 = 25$
- $\frac{20}{25} = \frac{4}{5}$

✔ Answer: $\frac{4}{5}$

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12) $(-6) - 2 - 1 - 5$

- Left to right: $-6 - 2 = -8$
- $-8 - 1 = -9$
- $-9 - 5 = -14$

✔ Answer: -14

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13) $(-8) - ((-10) - 8 - 1)$

- Inside inner parentheses: $(-10) - 8 = -18$, then $-18 - 1 = -19$
- So: $-8 - (-19) = -8 + 19 = 11$

✔ Answer: 11

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14) $(-8) \times 3 - 2 \times (-10)$

- $(-8) \times 3 = -24$
- $2 \times (-10) = -20$
- But it's $-2 \times (-10) = +20$? Wait — let's check:

Wait: Expression is: $(-8) \times 3 - 2 \times (-10)$

So:
- $(-8) \times 3 = -24$
- $2 \times (-10) = -20$
- So: $-24 - (-20) = -24 + 20 = -4$

✔ Answer: -4

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15) $(-10) \times (-4) - (5 - (-7))$

- $(-10) \times (-4) = 40$
- $5 - (-7) = 5 + 7 = 12$
- $40 - 12 = 28$

✔ Answer: 28

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16) $6 \times (-9) + 8 + 6$

- $6 \times (-9) = -54$
- $-54 + 8 = -46$
- $-46 + 6 = -40$

✔ Answer: -40

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17) $(-6) + (7 + 1) \times 4$

- $7 + 1 = 8$
- $8 \times 4 = 32$
- $-6 + 32 = 26$

✔ Answer: 26

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18) $\frac{5 - 2 \times 6}{3}$

- First: $2 \times 6 = 12$
- $5 - 12 = -7$
- $\frac{-7}{3} = -\frac{7}{3}$

✔ Answer: $-\frac{7}{3}$

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19) $(-8) - (5 - 1)^2$

- $5 - 1 = 4$
- $4^2 = 16$
- $-8 - 16 = -24$

✔ Answer: -24

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20) $7 - (-5) \times 3 \times 3$

- First: $(-5) \times 3 = -15$
- $-15 \times 3 = -45$
- $7 - (-45) = 7 + 45 = 52$

✔ Answer: 52

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✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 1) | 6 |
| 2) | -10 |
| 3) | 2 |
| 4) | 6 |
| 5) | 9 |
| 6) | -6 |
| 7) | -12 |
| 8) | -40 |
| 9) | -23 |
| 10) | -14 |
| 11) | $\frac{4}{5}$ |
| 12) | -14 |
| 13) | 11 |
| 14) | -4 |
| 15) | 28 |
| 16) | -40 |
| 17) | 26 |
| 18) | $-\frac{7}{3}$ |
| 19) | -24 |
| 20) | 52 |

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