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Question (1)

QN0030958

A student solved the equation below: 4x + 7 = 23 Step 1: 4x = 23 − 7 Step 2: 4x = 16 Step 3: x = 4 Which statement is correct?

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

Correct Answer: A

Explanation:

Each step correctly maintains equality.

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Question (2)

QN0030959

A student solved: 6y − 5 = 25 Step 1: 6y = 25 − 5 Which mistake has been made?

(A) 5 should have been multiplied.
(B) 5 should have been added to both sides.
(C) 6 should have been subtracted.
(D) No mistake has been made.

Correct Answer: B

Explanation:

Removing −5 requires adding 5 to both sides.

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Question (3)

QN0030960

A student solved: 8m = 56 Step: m = 56 − 8 The correct next step is

(A) m = 48
(B) m = 7
(C) m = 64
(D) m = 8

Correct Answer: B

Explanation:

Divide both sides by 8.

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Question (4)

QN0030961

Which step is incorrect while solving 5x + 9 = 29?

(A) 5x = 29 − 9
(B) 5x = 20
(C) x = 4
(D) None of these

Correct Answer: D

Explanation:

All the given steps are correct.

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Question (5)

QN0030962

A student solved: 3p − 4 = 17 Step 1: 3p = 17 + 4 Step 2: p = 7 The solution is

(A) Completely correct.
(B) Incorrect because Step 1 is wrong.
(C) Incorrect because Step 2 should give p = 21.
(D) Incorrect because Step 2 should divide by 3.

Correct Answer: D

Explanation:

3p = 21, then divide by 3 to get p = 7.

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Question (6)

QN0030963

While solving an equation, if 8 is added to the left side, what must be done to the right side?

(A) Add 8
(B) Subtract 8
(C) Multiply by 8
(D) Divide by 8

Correct Answer: A

Explanation:

The same operation must be performed on both sides.

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Question (7)

QN0030964

A student solved: 9a + 6 = 42 Step 1: 9a = 36 Step 2: a = 4 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:

The equation is solved correctly.

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Question (8)

QN0030965

A student solved: 2x + 11 = 19 Step 1: 2x = 8 Step 2: x = 6 Where is the mistake?

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

Correct Answer: B

Explanation:

2x = 8 implies x = 4.

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Question (9)

QN0030966

Which principle is used while correcting mistakes in solving equations?

(A) Change only the left side.
(B) Perform the same operation on both sides.
(C) Always multiply first.
(D) Always divide first.

Correct Answer: B

Explanation:

Equality is maintained by applying identical operations to both sides.

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Question (10)

QN0030967

A student solved: 7n − 8 = 27 Step 1: 7n = 35 Step 2: n = 5 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:

Add 8 to both sides, then divide by 7.

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Question (1)

A student solved the equation below: 4x + 7 = 23 Step 1: 4x = 23 − 7 Step 2: 4x = 16 Step 3: x = 4 Which statement is correct?

Explanation:

Link:

Question (2)

A student solved: 6y − 5 = 25 Step 1: 6y = 25 − 5 Which mistake has been made?

Explanation:

Link:

Question (3)

A student solved: 8m = 56 Step: m = 56 − 8 The correct next step is

Explanation:

Link:

Question (4)

Which step is incorrect while solving 5x + 9 = 29?

Explanation:

Link:

Question (5)

A student solved: 3p − 4 = 17 Step 1: 3p = 17 + 4 Step 2: p = 7 The solution is

Explanation:

Link:

Question (6)

While solving an equation, if 8 is added to the left side, what must be done to the right side?

Explanation:

Link:

Question (7)

A student solved: 9a + 6 = 42 Step 1: 9a = 36 Step 2: a = 4 Which statement is true?

Explanation:

Link:

Question (8)

A student solved: 2x + 11 = 19 Step 1: 2x = 8 Step 2: x = 6 Where is the mistake?

Explanation:

Link:

Question (9)

Which principle is used while correcting mistakes in solving equations?

Explanation:

Link:

Question (10)

A student solved: 7n − 8 = 27 Step 1: 7n = 35 Step 2: n = 5 Which statement is correct?

Explanation:

Link:

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