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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

Verified Answer :

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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

\(5 + (4^2 \div 2)(3)\)      B) 29

Step-by-step 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) \(5 + (4^2 \div 2)(3)\)

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

\(\Rightarrow 5 +(8)(3)\)

\(\Rightarrow 5 +24\)

\(\Rightarrow 29\)

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