2023 AMC 8

Complete problem set with solutions and individual problem pages

Problem 1 Easy

What is the value of (8 \times 4 + 2) - (8 + 4 \times 2)?

  • A.

    0

  • B.

    6

  • C.

    10

  • D.

    18

  • E.

    24

Answer:D

Solution 1

By the order of operations, we have

(8 \times 4 + 2) - (8 + 4 \times 2) = (32+2) - (8+8) = 34 - 16 = \boxed{\textbf{(D)}\ 18}.

 

Solution 2

We can simplify the expression above in another way:

(8 \times 4 + 2) - (8 + 4 \times 2)=8\times4+2-8-4\times2=32+2-8-8=34-16=\boxed{\textbf{(D)}\ 18}.