2023 AMC 8 Problem 1

Attempt Problem 1 of the 2023 AMC 8 below, then check your answer against the video solution and professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2023 AMC 8 solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

1.

What is the value of the following expression?
(8×4+2)−(8+4×2) (8 \times 4 + 2) - (8 + 4 \times 2)
00
66
1010
1818
2424
Answer: D
Concepts:order of operations
Small hint:
Follow order of operations before subtracting
Big hint:
Compute the two parenthesized expressions separately
Video solution:
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Written solution:
We can simplify this as follows.
(32+2)−(8+8)=34−16=18\begin{align*} (32 + 2) - (8 + 8) &= 34 - 16 \\ &= 18 \end{align*}
Thus, D is the correct answer.
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