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

I hope this helps you

Answer 2

`-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)`