Apply the associative and communative properties to generate an expression equivelent to 2 (a+5) + 4 (2a+3) - 10

Question

A- 10a + 22
B- 12a + 10
C- 9a + 12
D- 10a + 12

Answer 1

To apply the associative property, we group the terms together.

The given expression is: 2(a+5) + 4(2a+3) - 10

Using the associative property, we can rewrite it as:
2a + 10 + 8a + 12 - 10

Combining like terms, we have:
(2a + 8a) + (10 + 12 - 10)

Simplifying further:
10a + 22 - 10

Finally, combining like terms again, we get:
10a + 12

So, the expression equivalent to 2(a+5) + 4(2a+3) - 10 using the associative and commutative properties is 10a + 12.

Therefore, the correct answer is D- 10a + 12.