Which of the following answers applies the Distributive Property of Multiplication Over Addition correctly for simplifying 23−9(2x+5)+11x?(1 point)
Responses
14(2x+5+11x)
14 left parenthesis 2 x plus 5 plus 11 x right parenthesis
23−18x−45+11x
23 minus 18 x minus 45 plus 11 x
14(2x+5)+11x
14 left parenthesis 2 x plus 5 right parenthesis plus 11 x
14(2x+5)+11x
Simplify −4(7b+3)+24b−8 .(1 point)
Responses
−4b−20
negative 4 b minus 20
4b+20
4 b plus 20
4b−20
4 b minus 20
−4b+20
negative 4 b plus 20
The correct answer that applies the Distributive Property of Multiplication Over Addition correctly for simplifying 23−9(2x+5)+11x is option:
23−18x−45+11x
To correctly apply the Distributive Property of Multiplication Over Addition, we need to distribute the number outside of the parentheses to each term inside the parentheses.
Given the expression 23 - 9(2x + 5) + 11x, we can simplify it as follows:
First, distribute -9 to each term inside the parentheses:
-9 * 2x = -18x
-9 * 5 = -45
Now the expression becomes 23 - 18x - 45 + 11x.
Next, combine like terms:
-18x + 11x = -7x
Therefore, the correct simplified expression using the Distributive Property of Multiplication Over Addition is:
23 - 18x - 45 + 11x, option 2.