(2x + 3) - (x - 7) Which of the following is equivalent to the given expression?

The correct answer is C. Choice C is correct. Distributing the negative sign to the terms in the second parentheses yields (2x + 3) - x + 7 . This expression can be rewritten as 2x - x + 3 + 7 . Combining like terms results in x + 10 .

Note: Graph the original expression and test the answer choices; the green graph overlaps it, matching choice C.

SAT Question 7348f046: Answer, Explanation & Desmos Solution

Choice A

Choice A is incorrect and may result from not distributing the negative sign to the $7$ .

Choice B

Choice B is incorrect and may result from adding $x - 7$ to $2 x + 3$ instead of subtracting $x - 7$ .

Choice D

Choice D is incorrect and may result from adding the product of $2 x$ and $x$ to the product of $3$ and $7$ .

Explanation

Enter in Desmos:

Why the other choices are wrong

SAT Question 7348f046: Equivalent Expressions answer and explanation with Desmos solution

Explanation

Enter in Desmos:

Why the other choices are wrong