Which expression is equivalent to 2 ( x - 9/2 ) ( x + 8 ) ?

The correct answer is B. Choice B is correct. In the given expression, 2 ( x - 9/2 ) can be rewritten as 2 x - 2 ( 9/2 ) , or 2 x - 9 . Applying the distributive property to the expression ( 2 x - 9 ) ( x + 8 ) yields 2 x ( x + 8 ) - 9 ( x + 8 ) , or 2 x^2 + 16 x - 9 x - 72 . Combining like terms in this expression yields 2 x^2 + 7 x - 72 . Thus, 2 ( x - 9/2 ) ( x + 8 ) is equivalent to 2 x^2 + 7 x - 72 .

Note: The blue and green curves trace the same path, so choice B is equivalent to the original form.

SAT Question f8871ccd: Answer, Explanation & Desmos Solution

Which expression is equivalent to $2 (x - \frac{9}{2}) (x + 8)$ ?

108

Difficulty:Medium

$2 x^{2} - 72$

$2 x^{2} + 7 x - 72$

$2 x^{2} - x - 36$

$x^{2} + 7 x - 36$

Explanation

Enter in Desmos:

Why the other choices are wrong

SAT Question f8871ccd: Equivalent Expressions answer and explanation with Desmos solution

Explanation

Enter in Desmos:

Why the other choices are wrong