Question

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

Answer 1

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 $5 + (4^2 \div 2)(3)$

Answer 2

I hope this helps you