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Question (1)

QN0030918

Which method involves trying different values of the unknown until the equation becomes true?

(A) Elimination method
(B) Trial and error method
(C) Graphical method
(D) Factorisation method

Correct Answer: B

Explanation:

In the trial and error method, different values are substituted until the equation is satisfied.

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Question (2)

QN0030919

While solving an equation, which operation always preserves equality?

(A) Performing the same operation on both sides
(B) Adding a number to only one side
(C) Multiplying only the LHS by a number
(D) Dividing only the RHS by a number

Correct Answer: A

Explanation:

Equality is maintained when the same operation is performed on both sides.

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Question (3)

QN0030920

Solve: 4x + 9 = 37.

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

Correct Answer: C

Explanation:

4x = 28, so x = 7.

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Question (4)

QN0030921

Solve: 9m – 18 = 45.

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

Correct Answer: C

Explanation:

Add 18 to both sides to get 9m = 63. Hence, m = 7.

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Question (5)

QN0030922

Solve: y/8 = 11.

(A) 80
(B) 82
(C) 88
(D) 96

Correct Answer: C

Explanation:

Multiply both sides by 8 to get y = 88.

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Question (6)

QN0030923

Solve: 5a + 7 = 3a + 25.

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

Correct Answer: B

Explanation:

2a = 18, so a = 9.

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Question (7)

QN0030924

Which inverse operation is used to remove the term +12 from the left side of the equation x + 12 = 29?

(A) Add 12 to both sides
(B) Multiply both sides by 12
(C) Subtract 12 from both sides
(D) Divide both sides by 12

Correct Answer: C

Explanation:

Addition is undone by subtraction.

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Question (8)

QN0030925

Solve: 6(p – 2) = 30.

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

Correct Answer: C

Explanation:

Divide by 6 to get p – 2 = 5. Therefore, p = 7.

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Question (9)

QN0030926

A number is multiplied by 7 and then 5 is added. The result is 54. What is the number?

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

Correct Answer: B

Explanation:

7x + 5 = 54 ⇒ 7x = 49 ⇒ x = 7.

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Question (10)

QN0030927

Which of the following equations has the solution x = 4?

(A) 3x + 2 = 16
(B) 2x + 5 = 14
(C) 5x – 4 = 18
(D) .

Correct Answer: D

Explanation:

Substituting x = 4 satisfies only option (d).

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Question (1)

Which method involves trying different values of the unknown until the equation becomes true?

Explanation:

Link:

Question (2)

While solving an equation, which operation always preserves equality?

Explanation:

Link:

Question (3)

Solve: 4x + 9 = 37.

Explanation:

Link:

Question (4)

Solve: 9m – 18 = 45.

Explanation:

Link:

Question (5)

Solve: y/8 = 11.

Explanation:

Link:

Question (6)

Solve: 5a + 7 = 3a + 25.

Explanation:

Link:

Question (7)

Which inverse operation is used to remove the term +12 from the left side of the equation x + 12 = 29?

Explanation:

Link:

Question (8)

Solve: 6(p – 2) = 30.

Explanation:

Link:

Question (9)

A number is multiplied by 7 and then 5 is added. The result is 54. What is the number?

Explanation:

Link:

Question (10)

Which of the following equations has the solution x = 4?

Explanation:

Link:

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