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Simplify each expression using the order of operations. Then, match the expression (term) on the left with its solution (definition) on the right.

Match Term Definition

−5 − (32 +2) A) 28

22 − 3 ⋅ 6 B) 29

−2 + 4 ⋅ 32 − 6 C) −14

5 + 42 ÷ 2(3) D) −16

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Simplify each expression using the order of operations. Then, match the expression-example-1
User User User
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Answer:


-5 - (3^2 +2) D) −16


2^2 - 3 \cdot 6 C) −14


-2 + 4 \cdot 3^2 - 6 A) 28


5 + (4^2 / 2)(3) B) 29

Explanation:

Order of operations:

B - Bracket

O - Of

D- Division

M-Multiplication

A-Addition

S-Subtraction

1)
-5 - (3^2 +2)

Solving the expression using rule


\Rightarrow -5 - (9+2)


\Rightarrow -5 - (9+2)


\Rightarrow-16

So, D) −16 is the solution of
-5 - (3^2 +2)

2)
2^2 - 3 \cdot 6


\Rightarrow 4 - 18


\Rightarrow -14

So, C) −14 is the solution of
2^2 - 3 \cdot 6

3)
-2 + 4 \cdot 3^2 - 6


\Rightarrow - 2 + 4 \cdot 9 - 6


\Rightarrow - 2 +36 - 6


\Rightarrow 28

So, A) 28 is the solution of
-2 + 4 \cdot 3^2 - 6

4)
5 + (4^2 / 2)(3)


\Rightarrow 5 +(16 / 2)(3)


\Rightarrow 5 +(8)(3)


\Rightarrow 5 +24


\Rightarrow 29

So, B) 29 is the solution of
5 + (4^2 / 2)(3)

User Wim Hermans
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