Question

The steps that Lauren used to simplify an expression are shown.

Given expression: 1 (x + 2) • 4
4

Step 1: 1 •
4 • (x + 2).
4 1

Step 2: 1 • (x + 2)

Step 3: x + 2



Which statements are valid?

(Choose 2)
Responses
A The identity property for multiplication was used to move from

Step 1 to Step 2.The identity property for multiplication was used to move from Step 1 to Step 2.
B The inverse property for multiplication was used to move from

Step 1 to Step 2.The inverse property for multiplication was used to move from Step 1 to Step 2.
C The identity property for addition was used to move from

Step 2 to Step 3.The identity property for addition was used to move from Step 2 to Step 3.
D The inverse property for multiplication was used to move from

Step 2 to Step 3.The inverse property for multiplication was used to move from Step 2 to Step 3.
E The identity property for multiplication was used to move from

Step 2 to Step 3.The identity property for multiplication was used to move from Step 2 to Step 3.
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Answer 1

B and E

- Step 1 → Step 2: (1/4)·4 = 1, so the multiplicative inverse property was used (B).
- Step 2 → Step 3: 1·(x+2) = x+2, so the multiplicative identity property was used (E).