Free Practice Question

PS · Problem Solving

sub-505

Algebra

Consider a positive integer x such that $5^x – 2 = y$ . Which of the following values cannot be represented by y?

Answer Choices

Correct answer marked below

A

2

B

8

C

18

D

78

None

Correct

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What this question tests

What it tests

Your ability to manipulate linear and quadratic expressions, substitute unknowns, and solve equations under time pressure.

Common trap

Losing a sign when moving terms across the equals sign, or dividing both sides by a variable that could equal zero.

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Consider a positive integer x such that 5x–2=y5^x – 2 = y5x–2=y. Which of the following values cannot be represented by y?