Use the distributive property to write an expression that is equivalent to the example below:
5(2x + 7)
I think my answer is...
45.....How I got this answer was 5 x 2 + 5 x 7=45
10 + 35 = 45
Can you please double check my work?
You can't just drop the variable.
5(2x + 7) = 10x + 35
Now you can see that we can't add the 10 and 35
since they are "unlike" terms
To use the distributive property, you need to distribute the 5 to each term inside the parentheses. Here's the correct step-by-step calculation:
5(2x + 7) = 5 * 2x + 5 * 7
When multiplying, you multiply the coefficient (5) with each term inside the parentheses.
= 10x + 35
So the expression that is equivalent to 5(2x + 7) is 10x + 35, not 45.
To use the distributive property, you need to multiply the number outside the parentheses (in this case, 5) by each term inside the parentheses.
Using the distributive property, you can rewrite the expression as:
5 * 2x + 5 * 7
Simplifying further:
10x + 35
So, your answer is incorrect. The correct expression equivalent to 5(2x + 7) is 10x + 35.