If x ≠ −2, then 5x+10x+2=5x+10x+2

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If \(x \neq −2,\) then \(\dfrac{5x+10}{x+2}=\)

A. 2
B. 3
C. 4
D. 5
E. 6

[spoiler]OA=D[/spoiler]

Source: Princeton Review

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by [email protected] » Mon Jun 10, 2019 6:17 am
Gmat_mission wrote:If \(x \neq −2,\) then \(\dfrac{5x+10}{x+2}=\)

A. 2
B. 3
C. 4
D. 5
E. 6

[spoiler]OA=D[/spoiler]

Source: Princeton Review
(5x+10)/(x+2) = (5(x+2))/(x+2) = 5

Answer: D

Cheers,
Brent
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by [email protected] » Mon Jun 10, 2019 6:19 am
Gmat_mission wrote:If \(x \neq −2,\) then \(\dfrac{5x+10}{x+2}=\)

A. 2
B. 3
C. 4
D. 5
E. 6

[spoiler]OA=D[/spoiler]

Source: Princeton Review
Approach #2:
We're asked to evaluate (find the value of) the given expression.
Since all of the answer choices are constants (just numbers), we know that the given expression must evaluate to be ONE of the answer choices FOR ALL VALUES OF X.
So, let's test a value of x

Try x = 1
We get: (5x + 10)/(x + 2) = (5(1) + 10)/(1 + 2) = 15/3 = 5

Answer: D

Cheers,
Brent
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by [email protected] » Tue Jun 11, 2019 7:15 pm
Gmat_mission wrote:If \(x \neq −2,\) then \(\dfrac{5x+10}{x+2}=\)

A. 2
B. 3
C. 4
D. 5
E. 6

[spoiler]OA=D[/spoiler]

Source: Princeton Review
Simplifying, we have:

5(x + 2)/(x + 2) = 5

Answer: D

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