**Grouping symbols worksheet :**

Here we are going to see some practice problems on grouping symbols.

Practice questions :

(1) Evaluate the following expression.

2(5) + 3(4 + 3)

(2) Evaluate the following expression.

2 [5 + (30 ÷ 6)²]

(3) Evaluate the following expression.

[7(2) - 4] + [9 + 8(4)]

(4) Evaluate the following expression.

[(4 ⋅3)²⋅5]/(9 + 3)

(5) Evaluate the following expression.

4(11 + 7) - 9 ⋅ 8

(6) Evaluate the following expression.

288 ÷ [3(9 + 3)]

(7) Evaluate the following expression.

390 ÷ [5(7 + 6)]

(8) Evaluate the following expression.

(4 ⋅ 6² - 4² ⋅ 6) / 4 ⋅ 6

(9) Evaluate the following expression.

(2 ⋅ 8² - 2² ⋅ 8) / 2 ⋅ 8

(10) Evaluate the following expression.

12(9 + 5) - 6 ⋅ 3

**Question 1 :**

Evaluate the following expression.

2(5) + 3(4 + 3)

**Solution :**

= 2(5) + 3**(4 + 3)**

**= 2(5) + 3(7)**

**= 10 + 21**

** = 31**

**Question 2 :**

Evaluate the following expression.

2 [5 + (30 ÷ 6)²]

**Solution :**

= 2 [5 + **(30 ****÷ 6)**²]

= 2 [5 + **(5****)**²]

= 2 [**5 + 25**]

= 2 [30]

= 60

**Question 3 :**

Evaluate the following expression.

[7(2) - 4] + [9 + 8(4)]

**Solution :**

= [7**(2)** - 4] + [9 + 8**(4)**]

= [**14 - 4**] + [**9 + 32**]

= 10 + 41

= 51

**Question 4 :**

Evaluate the following expression.

[(4 ⋅3)²⋅5]/(9 + 3)

**Solution :**

= [(**4 ****⋅3**)² ⋅ 5]/(9 + 3)

= [(**7**)² ⋅ 5] / (9 + 3)

= [**49 ****⋅ ****5**] / (**9 + 3**)

= 245 / 12

**Question 5 :**

Evaluate the following expression.

4(11 + 7) - 9 ⋅ 8

**Solution :**

= 4(**11 + 7**) - 9 ⋅ 8

= 4(**18)** - 9 ⋅ 8

= 72 - 72

= 0

**Question 6 :**

Evaluate the following expression.

288 ÷ [3(9 + 3)]

**Solution :**

= 288 ÷ [3(**9 + 3**)]

= 288 ÷ [3(**12**)]

= 288 ÷ [36]

= 8

**Question 7 :**

Evaluate the following expression.

390 ÷ [5(7 + 6)]

**Solution :**

= 390 ÷ [5(**7 + 6**)]

= 390 ÷ [5(**13**)]

= 390 ÷ [45]

= 78/9

**Question 8 :**

Evaluate the following expression.

(4 ⋅ 6² - 4² ⋅ 6) / 4 ⋅ 6

**Solution :**

= (4 ⋅** 6****²** - **4² **⋅ 6) / 4 ⋅ 6

= (4 ⋅** 36** - **16**** **⋅ 6) / 4 ⋅ 6

= (144 - 96) / 24

= 48 / 24

= 2

**Question 9 :**

Evaluate the following expression.

(2 ⋅ 8² - 2² ⋅ 8) / 2 ⋅ 8

**Solution :**

= (2 ⋅** 8****²** - **2² **⋅ 8) / 2 ⋅ 8

= (2 ⋅ 64 - 4** **⋅ 8) / 2 ⋅ 8

= (128 - 32) / 16

= 96 / 16

= 6

**Question 10 :**

Evaluate the following expression.

12(9 + 5) - 6 ⋅ 3

**Solution :**

= 12(**9 + 5**) - 6 ⋅ 3

= 12(**14)** - 18

= 168 - 18

= 150

After having gone through the stuff given above, we hope that the students would have understood "Grouping-symbols worksheet".

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