Which of the following answers applies the distributive property of multiplication over addition correctly for simplifying 23-9(2x+5)+11x
The 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, you need to distribute the number outside the parentheses to each term inside the parentheses.
In the expression 23 - 9(2x + 5) + 11x, the term to be distributed is -9. To distribute -9, you multiply it by each term inside the parentheses:
-9(2x) = -18x
-9(5) = -45
After distributing the -9, the expression becomes:
23 - 18x - 45 + 11x
Now you can simplify further by combining like terms:
(23 - 45) + (-18x + 11x) = -22 - 7x
Therefore, the correct simplification of the expression is -22 - 7x.
To simplify the expression 23 - 9(2x + 5) + 11x using the distributive property of multiplication over addition, we need to distribute the multiplication across the terms inside the parentheses.
Step 1: Distribute -9 to both 2x and 5
23 - 9 * 2x - 9 * 5 + 11x
Step 2: Simplify the expression inside the parentheses
23 - 18x - 45 + 11x
Step 3: Combine like terms
(23 - 45) + (-18x + 11x)
-22 + (-7x)
The correct answer for simplifying 23 - 9(2x + 5) + 11x using the distributive property of multiplication over addition is -22 - 7x.