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 (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
Difficulty rating: 370
Video solution:
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Written solution:

We can simplify this as follows.

(32+2)(8+8)=3416=18\begin{align*} (32 + 2) - (8 + 8) &= 34 - 16 \\ &= 18 \end{align*}

Thus, D is the correct answer.

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