Question

Kaylee is picking up pizza for her family. She ordered 3 small pizzas and 2 large
pizzas. Each small pizza has x slices and each large pizza has 2x slices.
The expression x+x+x+2x+2x shows how many slices of pizza that Kaylee will have
altogether.
Which expression is NOT equivalent to the number of slices of pizza that Kaylee will
have altogether?
2
a) 7x
c) 2(2x)+3(x)
d) 3x+4x
b) 2(x)+3(2x)

Answer 1

To determine which expression is NOT equivalent to the total number of pizza slices that Kaylee will have, let's first simplify the original expression \( x + x + x + 2x + 2x \).

1. **Combine like terms**:
\[
x + x + x = 3x \quad \text{(from 3 small pizzas)}
\]
\[
2x + 2x = 4x \quad \text{(from 2 large pizzas)}
\]
Now, adding these together:
\[
3x + 4x = 7x
\]
So, the total number of slices is \( 7x \).

Now, let's evaluate each expression to see which one is NOT equivalent to \( 7x \).

a) \( 7x \)
- This is equivalent to \( 7x \).

b) \( 2(x) + 3(2x) \)
- Simplifying:
\[
2(x) + 3(2x) = 2x + 6x = 8x
\]
- This yields \( 8x \), which is NOT equivalent to \( 7x \).

c) \( 2(2x) + 3(x) \)
- Simplifying:
\[
2(2x) + 3(x) = 4x + 3x = 7x
\]
- This is equivalent to \( 7x \).

d) \( 3x + 4x \)
- Simplifying:
\[
3x + 4x = 7x
\]
- This is equivalent to \( 7x \).

Thus, the expression that is NOT equivalent to the total number of slices is:

**b) \( 2(x) + 3(2x) \)**, because it simplifies to \( 8x \) instead of \( 7x \).