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Question (21)

QN0030978

A student solved: 12x − 7 = 53 Step 1: 12x = 60 Step 2: x = 5 Which statement is correct?

(A) Both steps are correct.
(B) Only Step 1 is correct.
(C) Only Step 2 is correct.
(D) Both steps are incorrect.

Correct Answer: A

Explanation:

Add 7 to both sides, then divide by 12.

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Question (22)

QN0030979

A student solved: 5y + 14 = 39 Step 1: 5y = 25 Step 2: y = 5 Which statement is true?

(A) Both steps are correct.
(B) Only Step 1 is correct.
(C) Only Step 2 is correct.
(D) Both steps are incorrect.

Correct Answer: A

Explanation:

5y = 25, so y = 5.

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Question (23)

QN0030980

A student solved: 8p − 9 = 31 Step 1: 8p = 31 − 9 What is the correct first step?

(A) 8p = 31 + 9
(B) 8p = 40 − 9
(C) 8p = 22
(D) p = 31 + 9

Correct Answer: A

Explanation:

Add 9 to both sides.

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Question (24)

QN0030981

A student solved: 15m = 75 Step: m = 75 × 15 The mistake is that the student should

(A) Add 15
(B) Subtract 15
(C) Divide by 15
(D) Multiply by 75

Correct Answer: C

Explanation:

Divide both sides by 15.

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Question (25)

QN0030982

A student solved: 4a + 8 = 40 Step 1: 4a = 32 Step 2: a = 8 Which statement is correct?

(A) Only Step 1 is correct.
(B) Only Step 2 is correct.
(C) Both steps are correct.
(D) Both steps are incorrect.

Correct Answer: C

Explanation:

The equation has been solved correctly.

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Question (26)

QN0030983

Which property is violated if different operations are performed on the two sides of an equation?

(A) Commutative property
(B) Equality of the equation
(C) Associative property
(D) Distributive property

Correct Answer: B

Explanation:

The equation remains balanced only when identical operations are performed on both sides.

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Question (27)

QN0030984

A student solved: 9k − 18 = 45 Step 1: 9k = 63 Step 2: k = 6 Which step contains the mistake?

(A) Step 1 only
(B) Step 2 only
(C) Both steps
(D) No mistake

Correct Answer: B

Explanation:

63 ÷ 9 = 7, not 6.

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Question (28)

QN0030985

A student solved: 7x + 5 = 40 Step 1: 7x = 35 Step 2: x = 5 Which statement is correct?

(A) Both steps are correct.
(B) Only Step 1 is correct.
(C) Only Step 2 is correct.
(D) Both steps are incorrect.

Correct Answer: A

Explanation:

The solution is correct.

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Question (29)

QN0030986

A student solved: 6n − 11 = 19 Step 1: 6n = 8 What should be the correct first step?

(A) 6n = 30
(B) 6n = 19 − 11
(C) 6n = 25
(D) 6n = 11

Correct Answer: A

Explanation:

Add 11 to both sides.

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Question (30)

QN0030987

A student solved: 14z = 98 Step: z = 98 ÷ 14 Which statement is correct?

(A) The step is correct.
(B) The student should subtract 14.
(C) The student should add 14.
(D) The student should multiply by 14.

Correct Answer: A

Explanation:

Divide both sides by 14 to obtain the value of the unknown.

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Question (21)

A student solved: 12x − 7 = 53 Step 1: 12x = 60 Step 2: x = 5 Which statement is correct?

Explanation:

Link:

Question (22)

A student solved: 5y + 14 = 39 Step 1: 5y = 25 Step 2: y = 5 Which statement is true?

Explanation:

Link:

Question (23)

A student solved: 8p − 9 = 31 Step 1: 8p = 31 − 9 What is the correct first step?

Explanation:

Link:

Question (24)

A student solved: 15m = 75 Step: m = 75 × 15 The mistake is that the student should

Explanation:

Link:

Question (25)

A student solved: 4a + 8 = 40 Step 1: 4a = 32 Step 2: a = 8 Which statement is correct?

Explanation:

Link:

Question (26)

Which property is violated if different operations are performed on the two sides of an equation?

Explanation:

Link:

Question (27)

A student solved: 9k − 18 = 45 Step 1: 9k = 63 Step 2: k = 6 Which step contains the mistake?

Explanation:

Link:

Question (28)

A student solved: 7x + 5 = 40 Step 1: 7x = 35 Step 2: x = 5 Which statement is correct?

Explanation:

Link:

Question (29)

A student solved: 6n − 11 = 19 Step 1: 6n = 8 What should be the correct first step?

Explanation:

Link:

Question (30)

A student solved: 14z = 98 Step: z = 98 ÷ 14 Which statement is correct?

Explanation:

Link:

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