Question

What is the value of this expression when g= -3.5?

8-|2g-5|
a. 20
b. 10
c. 6
d. -4​

Answer 1

D. -4

Explanation:

We are given this expression:

`8-|2g-5|`

and asked to evaluate when g= -3.5 Therefore, we must substitute -3.5 in for g.

`8-|2(-3.5)-5|`

First, multiply 2 and -3.5

2 * -3.5 = -7

`8-|-7-5|`

Next, subtract 5 from -7.

-7-5= -12

`8-|-12|`

Next, evaluate the absolute value of -12. The absolute value is how far away a number is from 0, and it is always positive. The absolute value of -12 is 12.

`8-12`

Subtract 12 from 8.

`-4`

The value of the expression is -4 and D is the correct answer.

Answer 2

d. -4

Explanation:

Let's plug in g

8 - |2(-3.5) - 5|

8 - |-7-5|

8 - |-12|

The absolute value is always positive of any number,

8 - 12

= -4