2021 AMC 10A Spring Problem 1

Below is the professionally curated solution for Problem 1 of the 2021 AMC 10A Spring, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2021 AMC 10A Spring solutions, or check the answer key.

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Concepts:order of operations

Difficulty rating: 450

1.

What is the value of (222)(323)+(424)?(2^2-2)-(3^2-3)+(4^2-4)?

11

22

55

88

1212

Solution:

(222)(323)+(424)=26+12=8. \begin{align*} (2^2 - 2) - &(3^2 - 3) + (4^2 - 4) \\ &= 2 - 6 + 12 \\ &= 8. \end{align*}

Thus, D is the correct answer.

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