Which of the following answers applies to distribute property of multiplication or addition correctly for simplifying 23-9(2×+5)+11x
To simplify the expression 23-9(2x+5)+11x, we can apply the distributive property of multiplication over addition:
First, apply the distributive property of 9 over the terms (2x + 5):
9(2x + 5) = 9 * 2x + 9 * 5 = 18x + 45
Now, substitute this expression back into the original expression:
23 - (18x + 45) + 11x
To simplify further, apply the distributive property of -1 over the expression (18x + 45):
-1 * (18x + 45) = -18x - 45
Substitute this expression back into the simplified expression:
23 - 18x - 45 + 11x
Now, we can simplify the expression further by combining like terms:
-7x - 22
So, the correct answer is: -7x - 22
To simplify the expression 23 - 9(2x + 5) + 11x, we need to apply the distributive property.
The distributive property of multiplication over addition states that for any real numbers a, b, and c, a(b + c) is equal to ab + ac.
Therefore, we can begin by distributing the -9 to the terms inside the parentheses, (2x + 5):
= 23 - 9(2x) - 9(5) + 11x
Next, we can simplify the terms:
= 23 - 18x - 45 + 11x
Now, we can combine like terms:
= (23 - 45) + (-18x + 11x)
= -22 - 7x
So, the correct answer is -22 - 7x.
To simplify the expression 23-9(2x+5)+11x, we need to apply the distributive property of multiplication and addition correctly. The distributive property states that multiplying a value outside parentheses with each term inside the parentheses.
Let's break down the expression step by step:
1. Start with the original expression: 23 - 9(2x+5) + 11x.
2. Begin by applying the distributive property inside the parentheses by multiplying 9 with each term inside: 23 - 18x - 45 + 11x.
3. Simplify the expression further: 23 - 45 - 18x + 11x.
4. Combine like terms: -22 - 7x.
So, the simplified form of the expression 23-9(2x+5)+11x is -22 - 7x.