The name of a property is given followed by part of an equation. Complete the equation to the right of the equal sign to
illustrate the given property.
-5(a + b + 9) = distributive property
A) 5a + 5b + 9
B) 5a + b + 9
C) (a + b + 9)5
D) 5a + 5b + 45

Question

Quizplus · Accepted Answer

The distributive property states that when you multiply a number outside parentheses by the sum inside the parentheses, you can distribute the factor to each term inside the parentheses. In this case, we have 5 multiplied by the sum of a, b, and 9. Distributing the 5 gives us 5a + 5b + 45, so the correct choice is D. The distributive property states that when a number is multiplied by a sum of two or more numbers, the result is the same as if each number in the sum is multiplied by the number and then added together. In this case, we need to distribute the 5 to each term inside the parentheses, giving us 5a + 5b + 45. Therefore, the correct answer is D.

The Name of a Property Is Given Followed by Part