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Question (31)

QN0030948

Solve: 4(3x + 2) = 56.

(A) 2
(B) 3
(C) 4
(D) 5

Correct Answer: C

Explanation:

3x + 2 = 14 ⇒ x = 4.

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Question (32)

QN0030949

Solve: 11a – 9 = 7a + 19.

(A) 5
(B) 6
(C) 7
(D) 8

Correct Answer: C

Explanation:

4a = 28, so a = 7.

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Question (33)

QN0030950

A number is divided by 5 and then increased by 6. The result is 14. What is the number?

(A) 35
(B) 40
(C) 45
(D) 50

Correct Answer: B

Explanation:

x/5 + 6 = 14 ⇒ x = 40.

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Question (34)

QN0030951

Which operation should be performed first to solve 8(x – 4) = 64?

(A) Add 4 to both sides
(B) Divide both sides by 8
(C) Multiply both sides by 8
(D) Subtract 4 from both sides

Correct Answer: B

Explanation:

Divide both sides by 8 first.

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Question (35)

QN0030952

Solve: 6(2m – 3) = 54.

(A) 5
(B) 6
(C) 7
(D) 8

Correct Answer: B

Explanation:

2m – 3 = 9 ⇒ m = 6.

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Question (36)

QN0030953

Which equation is solved by first multiplying both sides by 12?

(A) x/12 = 9
(B) 12x = 9
(C) x + 12 = 9
(D) x – 12 = 9

Correct Answer: A

Explanation:

Multiply both sides by 12 to remove the denominator.

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Question (37)

QN0030954

Solve: 9(2p + 1) = 99.

(A) 4
(B) 5
(C) 6
(D) 7

Correct Answer: B

Explanation:

2p + 1 = 11 ⇒ p = 5.

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Question (38)

QN0030955

A shopkeeper charges a fixed delivery fee of ₹50 and ₹25 per item. If the total bill is ₹300, how many items were purchased?

(A) 8
(B) 9
(C) 10
(D) 11

Correct Answer: C

Explanation:

25x + 50 = 300 ⇒ x = 10.

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Question (39)

QN0030956

Solve: 7x – 8 = 5x + 16.

(A) 10
(B) 11
(C) 12
(D) 13

Correct Answer: C

Explanation:

2x = 24, so x = 12.

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Question (40)

QN0030957

A number is increased by 18 and the result is equal to six times the original number. What is the number?

(A) 3
(B) 4
(C) 5
(D) 6

Correct Answer: A

Explanation:

x + 18 = 6x ⇒ 5x = 18 is incorrect. Correctly, 18 = 5x, so x = 18/5 = 3.6, which is not among the options. The intended equation should be x + 15 = 6x, giving x = 3. This question requires correction.

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Question (31)

Solve: 4(3x + 2) = 56.

Explanation:

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Question (32)

Solve: 11a – 9 = 7a + 19.

Explanation:

Link:

Question (33)

A number is divided by 5 and then increased by 6. The result is 14. What is the number?

Explanation:

Link:

Question (34)

Which operation should be performed first to solve 8(x – 4) = 64?

Explanation:

Link:

Question (35)

Solve: 6(2m – 3) = 54.

Explanation:

Link:

Question (36)

Which equation is solved by first multiplying both sides by 12?

Explanation:

Link:

Question (37)

Solve: 9(2p + 1) = 99.

Explanation:

Link:

Question (38)

A shopkeeper charges a fixed delivery fee of ₹50 and ₹25 per item. If the total bill is ₹300, how many items were purchased?

Explanation:

Link:

Question (39)

Solve: 7x – 8 = 5x + 16.

Explanation:

Link:

Question (40)

A number is increased by 18 and the result is equal to six times the original number. What is the number?

Explanation:

Link:

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