Question

Sara simplified an expression as shown.

image

What property of operations did Sara use to get from Step 3 to Step 4?

A.
Subtracting a number is the same as adding its inverse.

B.
Associative Property of Addition

C.
Commutative Property of Addition

D.
The opposite of a sum is the sum of its opposites.







Sara simplified an expression as shown.

image

What property of operations did Sara use to get from Step 3 to Step 4?

A.
Subtracting a number is the same as adding its inverse.

B.
Associative Property of Addition

C.
Commutative Property of Addition

D.
The opposite of a sum is the sum of its opposites.

Answer 1

B. Associative Property of Addition

Explanation:

Answer 2

The property of operations that Sara used to get from step 3 to 4 is B. Associative Property of Addition

Property of operations

In Step 3, Sara correctly rearranged the terms to group the like terms together. However, in Step 4, the terms were not rearranged or changed in order.

To get from Step 3 to Step 4, Sara actually applied the Associative Property of Addition. The Associative Property of Addition states that the grouping of terms being added does not affect the sum.

Therefore, the terms (-3/4) and (-1/4) were grouped together and added first, followed by the terms (-2) and (-4).

Therefore, the correct answer is:

B. Associative Property of Addition