Apply the Associative and Commutative Properties to generate an expression equivalent to 2(a+5)+4(2a+3)−10 .(1 point)
Responses
9a +12
9 A plus 12
10a +22
10 A plus 22
10a +12
10 A plus 12
12a+10
12 A plus 10
Skip to navigation
To apply the Associative Property, we can group the terms that involve "a" together and group the constant terms together:
2(a+5) + 4(2a+3) - 10 = 2a + 10 + 8a + 12 - 10
Next, we can simplify the expression by combining like terms:
= (2a + 8a) + (10 + 12) - 10
= 10a + 22 - 10
= 10a + 12.
Therefore, the expression equivalent to 2(a+5) + 4(2a+3) - 10 using the Associative and Commutative Properties is 10a + 12.