College Math Placement Practice Test 2025 - Free College Math Questions and Study Guide

Remove ads, get exclusive features. Starting from $7.99

Question: 1 / 400

Which of the following expressions equals 3x + 5?

3(x + 5/3)

(3/5)(x + 5)

3x + 5x - 2x

(1/3)(9x + 15)

To determine which expression equals $3x + 5$, we can evaluate each option.

Starting with the expression in D, $(1/3)(9x + 15)$, we can simplify it by distributing $(1/3)$:

(1/3)(9x) + (1/3)(15) = 3x + 5.

This matches the original expression $3x + 5$ perfectly, confirming that option D is indeed correct.

For the other expressions:

- In option A, $3(x + 5/3)$ expands to $3x + 5$, when you distribute the 3, but when calculating the constant part, $3 \times 5/3 = 5$, which is correct; however, it may appear misleading in its form without proper simplification.

- Option B, $(3/5)(x + 5)$ simplifies to $(3/5)x + 3$, which does not equal $3x + 5$ due to different coefficients for $x$ and a mismatched constant.

College Math Placement Practice Test 2025 - Free College Math Questions and Study Guide

Get the latest from Examzify