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Question (11)

QN0030968

A student solved the equation below: 5x − 12 = 28 Step 1: 5x = 28 + 12 Step 2: 5x = 40 Step 3: x = 8 Which statement is correct?

(A) Only Step 1 is incorrect.
(B) Only Step 2 is incorrect.
(C) Only Step 3 is incorrect.
(D) All steps are correct.

Correct Answer: D

Explanation:

Each step correctly maintains equality.

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Question (12)

QN0030969

A student solved: 4y + 9 = 33 Step 1: 4y = 33 + 9 What is the mistake?

(A) 9 should have been subtracted from both sides.
(B) 9 should have been multiplied.
(C) 4 should have been added.
(D) There is no mistake.

Correct Answer: A

Explanation:

To remove +9, subtract 9 from both sides.

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Question (13)

QN0030970

A student solved: 6p = 42 Step: p = 42 − 6 The correct step should be

(A) p = 36
(B) p = 7
(C) p = 48
(D) p = 6

Correct Answer: B

Explanation:

Divide both sides by 6.

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Question (14)

QN0030971

A student solved: 8m − 15 = 25 Step 1: 8m = 40 Step 2: m = 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 15 to both sides before dividing by 8.

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Question (15)

QN0030972

While solving an equation, a student subtracts 7 from the left side only. What happens?

(A) The equation remains balanced.
(B) The value of the variable becomes zero.
(C) Equality is not maintained.
(D) The solution remains unchanged.

Correct Answer: C

Explanation:

The same operation must be performed on both sides.

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Question (16)

QN0030973

A student solved: 3x + 5 = 20 Step 1: 3x = 15 Step 2: x = 5 Which statement is correct?

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

Correct Answer: A

Explanation:

The equation is solved correctly.

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Question (17)

QN0030974

A student solved: 9a = 81 Step: a = 81 + 9 The correct operation should be

(A) Addition
(B) Multiplication
(C) Division
(D) Subtraction

Correct Answer: C

Explanation:

Divide both sides by 9.

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Question (18)

QN0030975

A student solved: 7k + 6 = 48 Step 1: 7k = 42 Step 2: k = 6 Where is the mistake?

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

Correct Answer: B

Explanation:

42 ÷ 7 = 6.

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Question (19)

QN0030976

A student solved: 10n − 4 = 56 Step 1: 10n = 60 Step 2: n = 5 Which step contains the mistake?

(A) Step 1
(B) Step 2
(C) Both
(D) None

Correct Answer: B

Explanation:

10n = 60 gives n = 6.

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Question (20)

QN0030977

Which of the following is the correct first step for solving 11x − 8 = 47?

(A) 11x = 47 − 8
(B) 11x = 47 + 8
(C) x = 47 + 8
(D) 11x = 39

Correct Answer: B

Explanation:

Add 8 to both sides to remove −8.

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Question (11)

A student solved the equation below: 5x − 12 = 28 Step 1: 5x = 28 + 12 Step 2: 5x = 40 Step 3: x = 8 Which statement is correct?

Explanation:

Link:

Question (12)

A student solved: 4y + 9 = 33 Step 1: 4y = 33 + 9 What is the mistake?

Explanation:

Link:

Question (13)

A student solved: 6p = 42 Step: p = 42 − 6 The correct step should be

Explanation:

Link:

Question (14)

A student solved: 8m − 15 = 25 Step 1: 8m = 40 Step 2: m = 5 Which statement is correct?

Explanation:

Link:

Question (15)

While solving an equation, a student subtracts 7 from the left side only. What happens?

Explanation:

Link:

Question (16)

A student solved: 3x + 5 = 20 Step 1: 3x = 15 Step 2: x = 5 Which statement is correct?

Explanation:

Link:

Question (17)

A student solved: 9a = 81 Step: a = 81 + 9 The correct operation should be

Explanation:

Link:

Question (18)

A student solved: 7k + 6 = 48 Step 1: 7k = 42 Step 2: k = 6 Where is the mistake?

Explanation:

Link:

Question (19)

A student solved: 10n − 4 = 56 Step 1: 10n = 60 Step 2: n = 5 Which step contains the mistake?

Explanation:

Link:

Question (20)

Which of the following is the correct first step for solving 11x − 8 = 47?

Explanation:

Link:

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