Use an associative property to complete the statement.
-(9x + 3y)+ 7z =
A)(9x + 3y + 7z)
B)9x + (3y + 7z)
C)9x + 3y + 7z
D)(3y + 9x)+ 7z

Question

Quizplus · Accepted Answer

The associative property states that the way in which numbers are grouped does not change their sum. Therefore, we can group the terms (9x + 3y) together and add 7z separately, resulting in 9x + (3y + 7z). The associative property states that when adding or multiplying three or more numbers, it doesn't matter which two numbers you add or multiply first. Therefore, we can group (9x + 3y) together and add 7z afterwards to get 9x + (3y + 7z). Option A is incorrect because it groups all three terms together without parentheses, which changes the order of operations. Option C is also incorrect because it doesn't group any terms together. Option D groups the first two terms together but adds 7z after, which is not associative.

Use an Associative Property to Complete the Statement