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Question (11)

QN0020142

Let the starting number be x. Which expression represents the final step before simplification?

(A) x + 2 + x
(B) x + 2 − x
(C) 2x + 2
(D) x − 2

Correct Answer: B

Explanation:

This simplifies directly to 2.

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Question (12)

QN0020143

If the chosen number is 100, the final answer is:

(A) 50
(B) 100
(C) 2
(D) 0

Correct Answer: C

Explanation:

The final answer is always 2.

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Question (13)

QN0020144

Which algebraic statement proves the trick?

(A) x + x = 2x
(B) (2x + 4)/2 = x + 2
(C) x + 2 − x = 2
(D) All of these

Correct Answer: D

Explanation:

All steps are used in the algebraic proof.

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Question (14)

QN0020145

If a student starts with 14, doubles it, adds 4, and divides by 2, the result before the final subtraction is:

(A) 14
(B) 15
(C) 16
(D) 18

Correct Answer: C

Explanation:

(28 + 4)/2 = 16.

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Question (15)

QN0020146

Which operation makes the original number reappear after it was doubled?

(A) Adding 4
(B) Dividing by 2
(C) Subtracting x
(D) Doubling again

Correct Answer: B

Explanation:

Dividing 2x by 2 gives x.

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Question (16)

QN0020147

If the chosen number is 1.5, the final answer is:

(A) 1.5
(B) 0
(C) 2
(D) 3

Correct Answer: C

Explanation:

The result remains 2.

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Question (17)

QN0020148

A student obtains 2 as the final answer. Which starting number could have been chosen?

(A) 7
(B) −12
(C) 100
(D) Any number

Correct Answer: D

Explanation:

The trick works for every starting number.

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Question (18)

QN0020149

In algebra, the unknown number used in such tricks is called a:

(A) Constant
(B) Variable
(C) Coefficient
(D) Factor

Correct Answer: B

Explanation:

A variable represents an unknown value.

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Question (19)

QN0020150

If the chosen number is 50, what is the value after doubling and adding 4?

(A) 100
(B) 102
(C) 104
(D) 54

Correct Answer: C

Explanation:

2×50 + 4 = 104.

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Question (20)

QN0020151

If x = 12, then (2x + 4)/2 equals:

(A) 12
(B) 13
(C) 14
(D) 16

Correct Answer: C

Explanation:

(24 + 4)/2 = 14.

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Question (11)

Let the starting number be x. Which expression represents the final step before simplification?

Explanation:

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Question (12)

If the chosen number is 100, the final answer is:

Explanation:

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Question (13)

Which algebraic statement proves the trick?

Explanation:

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Question (14)

If a student starts with 14, doubles it, adds 4, and divides by 2, the result before the final subtraction is:

Explanation:

Link:

Question (15)

Which operation makes the original number reappear after it was doubled?

Explanation:

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Question (16)

If the chosen number is 1.5, the final answer is:

Explanation:

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Question (17)

A student obtains 2 as the final answer. Which starting number could have been chosen?

Explanation:

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Question (18)

In algebra, the unknown number used in such tricks is called a:

Explanation:

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Question (19)

If the chosen number is 50, what is the value after doubling and adding 4?

Explanation:

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Question (20)

If x = 12, then (2x + 4)/2 equals:

Explanation:

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