ACT Question

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ACT Question for September 24th

If 7 + 3x = 22, then 2x = ?

A) 5

B) 10

C) 12

D) 14

E) 58/3

Correct

Incorrect

The correct answer is (B).

Getting to the Answer: First subtract 7 from both sides to get 3x = 15. Then divide both sides by 3 to get x = 5. The question asks for the value of 2x, so multiply x by 2 to obtain 2(5) = 10.

(A) Incorrect: this is the value of x, not 2x

(B) Correct: this matches the correct calculation

(C) Incorrect: this is the result of subtracting 3 from 15 rather than dividing by 3

(D) Incorrect: this is the result of reasoning that 2x is 1 less than 3x = 15

(E) Incorrect: this is the result of adding 7 to the right side rather than subtracting 7