For x > 0, which expression is equivalent to 12x^2 + 8x4x?

SAT Equivalent expressions Practice Question 6 (Easy)

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For $x > 0$ , which expression is equivalent to $\frac{12x^2 + 8x}{4x}$ ?

$3x^2 + 2x$

$12x + 2$

$3x + 2$

$3x + 8$

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Answer: C

Divide each term of the numerator by $4x$ : $\frac{12x^2}{4x} = 3x$ and $\frac{8x}{4x} = 2$ . The result is $3x + 2$ .

Choice D divides only the first term by $4x$ and leaves the $8x$ term unchanged except for the variable.

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