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Question (21)

QN0030938

Solve: 5x – 8 = 27.

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

Correct Answer: C

Explanation:

5x = 35, so x = 7.

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Question (22)

QN0030939

Solve: 8m + 12 = 4m + 44.

(A) 6
(B) 7
(C) 8
(D) 9

Correct Answer: C

Explanation:

4m = 32, so m = 8.

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Question (23)

QN0030940

Solve: p/6 + 4 = 13.

(A) 48
(B) 50
(C) 54
(D) 60

Correct Answer: C

Explanation:

p/6 = 9, so p = 54.

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Question (24)

QN0030941

Which operation should be performed first while solving 3(x – 5) = 24?

(A) Add 5 to both sides
(B) Divide both sides by 3
(C) Multiply both sides by 3
(D) Subtract 5 from both sides

Correct Answer: B

Explanation:

Divide both sides by 3 first.

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Question (25)

QN0030942

Solve: 7(2a – 1) = 49.

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

Correct Answer: B

Explanation:

2a – 1 = 7 ⇒ a = 4.

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Question (26)

QN0030943

A number is multiplied by 4 and then reduced by 9. The result is 31. What is the number?

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

Correct Answer: C

Explanation:

4x – 9 = 31 ⇒ x = 10.

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Question (27)

QN0030944

Solve: 9y – 5 = 4y + 20.

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

Correct Answer: B

Explanation:

5y = 25, so y = 5.

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Question (28)

QN0030945

Which of the following equations is solved correctly by first subtracting 15 from both sides?

(A) x + 15 = 42
(B) 15x = 45
(C) x – 15 = 12
(D) x/15 = 4

Correct Answer: A

Explanation:

Remove the added constant first.

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Question (29)

QN0030946

Solve: 5(3k + 2) = 85.

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

Correct Answer: B

Explanation:

3k + 2 = 17 ⇒ k = 5.

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Question (30)

QN0030947

A student has ₹180. After spending ₹35, the remaining money is three times the amount left with another student. If the other student has ₹x, which equation represents the situation?

(A) 180 + 35 = 3x
(B) 180 – 35 = 3x
(C) 3(180 – 35) = x
(D) 180 = 35 – 3x

Correct Answer: B

Explanation:

Remaining amount = ₹145, so 145 = 3x.

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Question (21)

Solve: 5x – 8 = 27.

Explanation:

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Question (22)

Solve: 8m + 12 = 4m + 44.

Explanation:

Link:

Question (23)

Solve: p/6 + 4 = 13.

Explanation:

Link:

Question (24)

Which operation should be performed first while solving 3(x – 5) = 24?

Explanation:

Link:

Question (25)

Solve: 7(2a – 1) = 49.

Explanation:

Link:

Question (26)

A number is multiplied by 4 and then reduced by 9. The result is 31. What is the number?

Explanation:

Link:

Question (27)

Solve: 9y – 5 = 4y + 20.

Explanation:

Link:

Question (28)

Which of the following equations is solved correctly by first subtracting 15 from both sides?

Explanation:

Link:

Question (29)

Solve: 5(3k + 2) = 85.

Explanation:

Link:

Question (30)

A student has ₹180. After spending ₹35, the remaining money is three times the amount left with another student. If the other student has ₹x, which equation represents the situation?

Explanation:

Link:

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