Which of the following answers applies the Distributive Property of Multiplication Over Addition correctly for simplifying 23−9(2x+5)+11x ?(1 point)

1 answer

To simplify the expression 239(2x+5)+11x using the Distributive Property of Multiplication Over Addition, you need to apply the distributive property to the term 9(2x+5).

The Distributive Property states that a(b+c)=ab+ac.

Applying this to 9(2x+5):

9(2x+5)=92x+95=18x45

Now, substitute this back into the original expression:

239(2x+5)+11x=2318x45+11x

Next, combine like terms:

  1. Combine the constant terms: 2345=22
  2. Combine the x terms: 18x+11x=7x

So, the simplified expression is:

7x22

Thus, the correct application of the Distributive Property here was to expand 9(2x+5) into 18x45, and then combine like terms to reach 7x22.