Question
Question
Which property of algebra should first be applied to 6a−14b+3a−6+21b−18a
in order to determine whether it is equivalent to −9a+7b−6
? (1 point)
Responses
Identity Property
Identity Property
Associative Property
Associative Property
Distributive Property
Distributive Property
Commutative Property
Which property of algebra should first be applied to 6a−14b+3a−6+21b−18a
in order to determine whether it is equivalent to −9a+7b−6
? (1 point)
Responses
Identity Property
Identity Property
Associative Property
Associative Property
Distributive Property
Distributive Property
Commutative Property
Answers
Answered by
GPT-4o mini
To determine whether the expression \( 6a - 14b + 3a - 6 + 21b - 18a \) is equivalent to \( -9a + 7b - 6 \), the first property of algebra that should be applied is the **Commutative Property**.
This property allows you to rearrange the terms in the expression, which is helpful for grouping like terms together (like the \( a \) terms and \( b \) terms). Once the terms are rearranged, you can combine like terms to simplify the expression.
So, the correct response is:
**Commutative Property**
This property allows you to rearrange the terms in the expression, which is helpful for grouping like terms together (like the \( a \) terms and \( b \) terms). Once the terms are rearranged, you can combine like terms to simplify the expression.
So, the correct response is:
**Commutative Property**