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

Respuesta :

I hope this helps you
Ver imagen Аноним

Answer:

[tex]-5 - (3^2 +2)[/tex]       D) −16

[tex]2^2 - 3 \cdot 6[/tex]             C) −14

[tex]-2 + 4 \cdot 3^2 - 6[/tex]     A) 28

[tex]5 + (4^2 \div 2)(3)[/tex]      B) 29

Step-by-step explanation:

Order of operations:

B  - Bracket

O - Of

D- Division

M-Multiplication

A-Addition

S-Subtraction

1)[tex]-5 - (3^2 +2)[/tex]    

Solving the expression using rule

[tex]\Rightarrow -5 - (9+2)[/tex]  

[tex]\Rightarrow -5 - (9+2)[/tex]  

[tex]\Rightarrow-16[/tex]  

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

2)[tex]2^2 - 3 \cdot 6[/tex]

[tex]\Rightarrow 4 - 18[/tex]

[tex]\Rightarrow -14[/tex]

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

3)[tex]-2 + 4 \cdot 3^2 - 6[/tex]

[tex]\Rightarrow - 2 + 4 \cdot 9 - 6[/tex]

[tex]\Rightarrow - 2 +36 - 6[/tex]

[tex]\Rightarrow 28[/tex]

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

4) [tex]5 + (4^2 \div 2)(3)[/tex]

[tex]\Rightarrow 5 +(16 \div 2)(3)[/tex]

[tex]\Rightarrow 5 +(8)(3)[/tex]

[tex]\Rightarrow 5 +24[/tex]

[tex]\Rightarrow 29[/tex]

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

RELAXING NOICE
Relax