Apply the Associative and Commutative Properties to generate an expression equivalent to 2(a+5)+4(2a+3)−10.(1 point)

Question

9a +12

10a +22

12a+10

10a +12

Answer 1

First, apply the distributive property:

2(a+5) + 4(2a+3) - 10 = 2a + 10 + 8a + 12 - 10

Now, use the commutative property to rearrange the terms:

2a + 10 + 8a + 12 - 10 = 2a + 8a + 10 + 12 - 10

Use the associative property to group the like terms:

2a + 8a + 10 + 12 - 10 = (2a + 8a) + (10 + 12 - 10)

Combine the like terms:

10a + 12

The equivalent expression is 10a + 12.