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Question (1)

QN0030988

A student forms the equation 5x + 12 = 67. What is the value of x?

(A) 9
(B) 10
(C) 11
(D) 12

Correct Answer: C

Explanation:

Subtract 12 from both sides and divide by 5.

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Question (2)

QN0030989

Which of the following equations has the solution x = 12?

(A) 4x − 6 = 42
(B) is satisfied.
(C) 5x − 8 = 50
(D) 2x + 7 = 29

Correct Answer: B

Explanation:

Substitute x = 12 into each equation. Only option (b) is satisfied.

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Question (3)

QN0030990

A library charges a membership fee of ₹150 and ₹40 per book borrowed. If the total amount paid is ₹510, how many books were borrowed?

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

Correct Answer: B

Explanation:

Form the equation 40x + 150 = 510.

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Question (4)

QN0030991

While solving an equation, which statement is always true?

(A) Different operations may be performed on the two sides.
(B) The same operation should be performed on both sides.
(C) The left side should always be simplified first.
(D) Variables should always be moved to the right side.

Correct Answer: B

Explanation:

The same operation on both sides keeps the equation balanced.

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Question (5)

QN0030992

Solve: 4(2x − 1) = 44.

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

Correct Answer: B

Explanation:

Divide both sides by 4, then solve 2x − 1 = 11.

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Question (6)

QN0030993

The perimeter of a square is 84 cm. Which equation correctly represents the side length s?

(A) 4 + s = 84
(B) 4s = 84
(C) 84 − s = 4
(D) s − 4 = 84

Correct Answer: B

Explanation:

Perimeter of a square = 4 × side.

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Question (7)

QN0030994

A student solved 8y − 16 = 48 as follows: Step 1: 8y = 64 Step 2: y = 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:

Add 16 to both sides, then divide by 8.

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Question (8)

QN0030995

A number is first multiplied by 9 and then reduced by 13. The result is 77. What is the number?

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

Correct Answer: C

Explanation:

Form the equation 9x − 13 = 77.

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Question (9)

QN0030996

Solve: x/7 + 5 = 16.

(A) 70
(B) 77
(C) 84
(D) 91

Correct Answer: B

Explanation:

Subtract 5 from both sides and multiply by 7.

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Question (10)

QN0030997

A pattern contains 6n − 1 dots in the nth figure. If a figure contains 119 dots, which figure number is it?

(A) 18
(B) 19
(C) 20
(D) 21

Correct Answer: C

Explanation:

Solve 6n − 1 = 119.

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Question (1)

A student forms the equation 5x + 12 = 67. What is the value of x?

Explanation:

Link:

Question (2)

Which of the following equations has the solution x = 12?

Explanation:

Link:

Question (3)

A library charges a membership fee of ₹150 and ₹40 per book borrowed. If the total amount paid is ₹510, how many books were borrowed?

Explanation:

Link:

Question (4)

While solving an equation, which statement is always true?

Explanation:

Link:

Question (5)

Solve: 4(2x − 1) = 44.

Explanation:

Link:

Question (6)

The perimeter of a square is 84 cm. Which equation correctly represents the side length s?

Explanation:

Link:

Question (7)

A student solved 8y − 16 = 48 as follows: Step 1: 8y = 64 Step 2: y = 8 Which statement is correct?

Explanation:

Link:

Question (8)

A number is first multiplied by 9 and then reduced by 13. The result is 77. What is the number?

Explanation:

Link:

Question (9)

Solve: x/7 + 5 = 16.

Explanation:

Link:

Question (10)

A pattern contains 6n − 1 dots in the nth figure. If a figure contains 119 dots, which figure number is it?

Explanation:

Link:

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