Chapter 1 Practice Test

 Solve the following inequality algebraically:

 $\left|3q-1\right|\ge2$ 

•  $\left\{q:\ q\le-1\ or\ q\ge1\right\}$  

•  $\left\{q:\ q\le-\frac{1}{3}\ or\ q\ge1\right\}$  

•  $\left\{q:\ -\frac{1}{3}\le q\le1\right\}$  

•  $\left\{q:\ -1\le q\le1\right\}$  

 $14-\left(-5\right)=$  

 $9\left(-\frac{1}{2}+\frac{1}{6}\right)=$  

 $9-4\left(3-5\right)^2=$  

•  $25$  

•  $73$  

•  $-7$  

•  $-54$  

Which graph matches the inequality $r\ge-6$ ?

• A

• B

• C

• D

What inequality is shown in the picture?

• $\ \left\{x:\ -8<x<-2\right\}$

• $\left\{x:\ x>-8\ or\ x<-2\right\}$

• $\left\{x:\ -8<x>-2\right\}$

• $\left\{x:\ x<-8\ or\ x>-2\right\}$

The sum of three consecutive odd integers is less than 40. What is the largest possible value for the integers?

Please enter your answer as three numbers separated by a comma, from smallest to largest.

Solve the following. Check for extraneous solutions.

 $-3\left|2x-\frac{1}{3}\right|=-6x-3$ 

•  $x=-\frac{1}{6}$  

• No solutions

•  $x=\frac{1}{3}$  

• All real numbers

Solve the following. Check for extraneous solutions.

 $\frac{1}{2}\left|x+6\right|=x$  

•  $x=-2,\ x=6$  

•  $x=6$  

•  $x=-2$  

Solve the following equation.

 $4-\frac{x}{3}=\frac{1}{4}$  

•  $x=\frac{45}{4}$  

•  $x=\frac{5}{4}$ 

•  $x=-\frac{45}{4}$  

•  $x=-\frac{5}{4}$