Conquer the College Math Placement Challenge 2025 – Step Up and Shine!

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Question: 1 / 400

What is the simplified form of the expression 3(2x + 4) - 2(x - 5)?

4x + 22

5x + 4

6x + 22

To simplify the expression 3(2x + 4) - 2(x - 5), we begin by using the distributive property to eliminate the parentheses.

First, distribute the 3 across the terms inside the first set of parentheses:

3(2x) + 3(4) = 6x + 12.

Next, distribute the -2 across the terms inside the second set of parentheses:

-2(x) + -2(-5) = -2x + 10.

Now, we combine both results:

6x + 12 - 2x + 10.

Combine like terms:

6x - 2x gives us 4x,

And 12 + 10 gives us 22.

So, the entire expression simplifies to:

4x + 22.

This shows that the correct answer is indeed 4x + 22. The confusion may arise from miscalculating the distributive steps or adding the constants incorrectly. However, the steps outlined lead us consistently to the correct simplified expression.

Conquer the College Math Placement Challenge 2025 – Step Up and Shine!

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