If $16+4 x$ is 10 more than 14 , what is the value of $8 x$ ?
SAT · Math · previous-year question
- A.2
- B.6
- C.16correct
- D.80 5
Answer
C. 16
Explanation
Choice C is correct. The description " $16+4 x$ is 10 more than 14 " can be written as the equation $16+4 x=10+14$, which is equivalent to $16+4 x=24$. Subtracting 16 from each side of $16+4 x=24$ gives $4 x=8$. Since $8 x$ is 2 times $4 x$, multiplying both sides of $4 x=8$ by 2 gives $8 x=16$. Therefore, the value of $8 x$ is 16 .Choice $\mathrm{A}$ is incorrect because it is the value of $x$, not $8 x$. Choices $\mathrm{B}$ and $D$ are incorrect and may be the result of errors made when solving the equation $16+4 x=10+14$ for $x$. For example, choice D could be the result of subtracting 16
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