Which expression is equivalent to 5(y + 3) + 9?
A) 5y + 15 + 9
B) 5y + 8 + 9
C) 5y + 3 + 9
D) 5y + 15 + 45
Use the distributive property to move the 5 into the brackets...
that is
5xy + 5x3 + 9
...
5y +
To simplify the expression 5(y + 3) + 9, we need to distribute the 5 to both terms inside the parentheses.
Step 1: Distribute the 5 to y and 3:
5 * y = 5y
5 * 3 = 15
After distributing, the expression becomes:
5y + 15 + 9
Step 2: Combine like terms:
15 + 9 = 24
The final simplified expression is:
5y + 24
Therefore, the equivalent expression is B) 5y + 24.
To find the expression that is equivalent to 5(y + 3) + 9, we need to simplify the expression by applying the distributive property.
Step 1: Distribute the 5
5(y + 3) + 9 = 5 * y + 5 * 3 + 9
Step 2: Simplify
Simplifying further, we have:
= 5y + 15 + 9
Step 3: Combine like terms
= 5y + 24
So, the expression equivalent to 5(y + 3) + 9 is 5y + 24.
Looking at the answer options, we can see that the correct answer is not provided. There should be an option for 5y + 24.