Which of the following answers applies the Distributive Property of Multiplication Over Addition correctly for simplifying 23-9(2x+5)+11x? (1 Point)
Responses
23-18x-45+11x
23-7x-4+11x
14(2x+5+11x)
14(2x+5)+11x
The correct answer is 23-18x-45+11x.
The correct answer that applies the Distributive Property of Multiplication Over Addition correctly for simplifying 23-9(2x+5)+11x is:
23-18x-45+11x
To apply the Distributive Property of Multiplication Over Addition correctly in the expression 23-9(2x+5)+11x, you need to distribute the factor of 9 to both terms inside the parentheses.
Let's break it down step by step:
1. Start with the expression: 23-9(2x+5)+11x
2. Distribute the -9 to both terms inside the parentheses:
-9 * 2x = -18x
-9 * 5 = -45
3. Simplify the expression:
23 - 18x - 45 + 11x
Now, let's see which of the provided answers matches the simplified expression:
- Answer 1: 23 - 18x - 45 + 11x
- Answer 2: 23 - 7x - 4 + 11x
- Answer 3: 14(2x+5+11x)
- Answer 4: 14(2x+5)+11x
The correct answer is Answer 1: 23 - 18x - 45 + 11x
It accurately represents the expression after applying the Distributive Property.