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

      D) −16

            C) −14

    A) 28

     B) 29

Step-by-step explanation:

Order of operations:

B  - Bracket

O - Of

D- Division

M-Multiplication

A-Addition

S-Subtraction

1)    

Solving the expression using rule

So, D) −16 is the solution of    

2)

So, C) −14 is the solution of

3)

So,  A) 28 is the solution of

4)

So, B) 29 is the solution of

starting with:    

5 + x - 12 = 2x - 7   

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)   

5 - 12 = x - 7 (combine and cancel x's from both sides)   

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)   

0 = x (add numbers together on both sides)       

so in order for the equation to be true, x must be 0.   

trying x = -0.5   

5 + x - 12 = 2x - 7 (original equation)   

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)   

5 + -0.5 - 12 = -1 - 7 (did multiplication)   

-7.5 = -8 (did addition on both sides)       

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.   

trying x = 0   

5 + x - 12 = 2x - 7 (original equation)   

5 + 0 - 12 = 2(0) - 7 (plug in value of x)   

5 + 0 - 12 = 0 - 7 (did multiplication)   

-7 = -7 (did addition on both sides)       

since -7 equals -7, that demonstrates that the value of 0 for x is correct.   

trying x = 1   

5 + x - 12 = 2x - 7 (original equation)   

5 + 1 - 12 = 2(1) - 7 (plug in value of x)   

5 + 1 - 12 = 2 - 7 (did multiplication)   

-6 = -5 (did addition on both sides)       

since -6 is obviously not equal to -5, the value of 1 for x is wrong.

step-by-step explanation: