Chapter 2.5, Problem 1STP

For Exercises $1-5,$ choose the correct letter.

What is the value of the expression $-2(3x-2)+x+9$

when $x=-3?$

A. -16

B. -2

C. 28

D. 34

To determine

To find: the value of expression at given point

Answer to Problem 1STP

Option C is correct.

Explanation of Solution

Given information: expression $-2\left(3x-2\right)+x+9$ .

  Plugging $x=-3$ in the given expression

  $\begin{array}{c}-2\left(3x-2\right)+x+9=-2\left(3\left(-3\right)-2\right)+\left(-3\right)+9\\ =-2\left(-9-2\right)-3+9\\ =-2\left(-11\right)+6\\ =22+6\\ =28\end{array}$