Answer:
F
Explanation:
Each of these answer choices represents a different property of equality; however, only answer choice F uses the properties of equality (PoEs) correctly.
Answer Choice F
The first answer choice shows the distributive property. This property states that multiplying a number by a factor in parentheses is the same as multiplying the number outside the parentheses by each of the terms within the parentheses.
- For example,
.
Answer Choice G
This answer choice attempts to show the associative property. The associative property states that when doing addition, the placement of the parentheses does not matter. However, this answer uses addition and multiplication, so the associative property does not apply.
Answer Choice H
This answer choice tries to show the commutative property. The commutative property states that addition and multiplication can be done in andy order. However, this only applies to addition and multiplication. So, it cannot be used for division.
Answer Choice J
This answer choice tries to use the associative property similar to the second answer. However, as I stated earlier, this property only works for addition. So, the use of multiplication in the expression makes it so they are not equal.