To apply the Associative Property, we will group the terms with the same variable together. Then, we will apply the Commutative Property to reorder the terms.
Step 1: Group the terms with the same variable:
2(a+5) + 4(2a+3) - 10
= 2a + 10 + 8a + 12 - 10
Step 2: Reorder the terms:
= (2a + 8a) + 10 + 12 - 10
= 10a + 12
Therefore, the expression equivalent to 2(a+5)+4(2a+3)−10 is 10a + 12.
Question
Apply the Associative and Commutative Properties to generate an expression equivalent to 2(a+5)+4(2a+3)−10.(1 point)
Responses
10a +12
10 A plus 12
10a +22
10 A plus 22
12a+10
12 A plus 10
9a +12
1 answer