Which of the following expressions is equivalent to 2(ab - 3) + 2 ?

The correct answer is B. Choice B is correct. Applying the distributive property to the given expression yields 2 × ab + 2 × (-3) + 2 , or 2ab - 6 + 2 . Adding the like terms -6 and 2 results in the expression 2ab - 4 .

Note: The listed a and b values make the original expression and choice B print the same outputs.

SAT Question fb96a5b3: Answer, Explanation & Desmos Solution

Choice A

Choice A is incorrect and may result from multiplying $ab$ by $2$ without multiplying $- 3$ by $2$ when applying the distributive property.

Choice C

Choice C is incorrect and may result from computational or conceptual errors.

Choice D

Choice D is incorrect and may result from computational or conceptual errors.

Explanation

Enter in Desmos:

Why the other choices are wrong

SAT Question fb96a5b3: Equivalent Expressions answer and explanation with Desmos solution

Explanation

Enter in Desmos:

Why the other choices are wrong