Algebra Practice Test 2025 – Complete Exam Preparation

Question: 1 / 400

Which expression represents the correctly simplified form of 7 - 2(5 - 2x)?

7 - 10 + 4x

4x + 3

To simplify the expression 7 - 2(5 - 2x), you first apply the distributive property to the term -2(5 - 2x). This involves multiplying -2 by both terms inside the parentheses.

1. Start with the expression:

7 - 2(5 - 2x)

2. Distributing -2 gives:

7 - (2 * 5) + (2 * 2x)

= 7 - 10 + 4x

3. Next, combine the constant terms, which are 7 and -10:

7 - 10 = -3

4. Therefore, you can rewrite the expression as:

-3 + 4x

This shows that the simplified expression is indeed -3 + 4x, which corresponds to one of the options provided. The other choices do not accurately reflect the steps taken in distributing and combining like terms, thus reinforcing that -3 + 4x is the correct simplified form.

Get further explanation with Examzify DeepDiveBeta

10x - 3

-3 + 4x

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