2020 AMC 10B Problem 1

Attempt Problem 1 of the 2020 AMC 10B below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2020 AMC 10B solutions, or check the answer key.

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What is the value of $\begin{aligned} &1 - (-2) - 3 - (-4) \\ &\quad {}- 5 - (-6)? \end{aligned}$

$-20$

$-3$

$3$

$5$

$21$

Answer: D

Concepts:whole number operations

Difficulty rating: 450

Solution:

Subtracting a negative is the same as adding the corresponding positive number, so $\begin{aligned} &1-(-2)-3-(-4) \\ &\quad {}-5-(-6) \\ &\quad = 1+2-3+4-5+6. \end{aligned}$ Now combine the terms: $\begin{aligned} &(1+2+4+6)-(3+5) \\ &\quad = 13-8=5. \end{aligned}$

Thus, D is the correct answer.

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