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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)

1 answer

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 \( 7x \).