Algebra Practice Test

Disable ads (and more) with a membership for a one time $2.99 payment

Enhance your algebra skills with our comprehensive test. Tackle multiple-choice questions and receive hints with explanations. Ace your exam with our targeted learning tools!

Each practice test/flash card set has 50 randomly selected questions from a bank of over 500. You'll get a new set of questions each time!

Practice this question and more.

What is the result of simplifying 7 - 2(5 - 2x)?

7 + 10 - 4x
3 - 4x
4x - 3
7 - 10 + 4x

The correct answer is: 4x - 3

To simplify the expression $ 7 - 2(5 - 2x) $, first, distribute the $-2$ into the parentheses. This involves multiplying $-2$ by both terms inside the parentheses: \[ 7 - 2 \cdot 5 + 2 \cdot 2x \] Calculating this gives: \[ 7 - 10 + 4x \] Next, combine the like terms $7 - 10$: \[ -3 + 4x \] Rearranging the terms gives: \[ 4x - 3 \] This is the correct simplification of the initial expression, leading us to the choice of $4x - 3$. Thus, the correct answer accurately reflects the process of distribution and combination of like terms engaged throughout the simplification.