College Algebra Chapter 2 Practice Test

Find the solutions to the equation

 $\left|2x-3\right|=5$  

• x=1, 4

• x=-1, 4
  

• x=-1,1
  

• x=-4, 4

• x=-4,1

If a>0 and b>0, which of the following could be an equation of the line graphed in the xy-plane below?

• y=-ax-b

• y=ax-b

• y=ax+b

• y=-ax+b

• y=abx

Which of the following can never be true?

•  $\left|a+b\right|=\left|a\right|+\left|b\right|$  

•  $\left|a+b\right|<\left|a\right|+\left|b\right|$  

•  $\left|a+b\right|\le\left|a\right|+\left|b\right|$  

•  $\left|a+b\right|>\left|a\right|+\left|b\right|$  

•  $\left|a+b\right|=\left|a\right|\cdot\left|b\right|$  

In the xy-plane, the line given by which of the following is perpendicular to the line  $5x-2y=7$  ?

•  $2x+5=7$  

•  $2x-5y=7$  

•  $5x+2y=7$  

•  $5x-2y=10$  

•  $5x-5y=10$  

The shaded region in the figure represents the intersection of the graphs of  $x\le0$  ,   $y\ge0$  , and which of the following inequalities? 

•  $y\le-2x-1$  

•  $y\le-\frac{1}{2}x-1$  

•  $y\ge-2x-1$  

•  $y\ge-\frac{1}{2}x-1$  

•  $y\ge\frac{1}{2}x-1$  

 $3x^2-4x+6=2$  Find all solutions to

•  $x=\frac{1\pm i\sqrt{6}}{2}$  

•  $x=\frac{2\pm i\sqrt{6}}{3}$  

•  $x=\frac{3\pm i\sqrt{8}}{2}$  

•  $x=\frac{8\pm i\sqrt{2}}{3}$  

•  $x=\frac{2\pm2i\sqrt{2}}{3}$  

Which of the following products is a real number?

• $\left(1+i\right)\left(1-i\right)$

• $\left(1+i\right)\left(1+i\right)$

• $\left(-1-i\right)\left(-1-i\right)$

• $\left(-1+i\right)\left(-1+i\right)$

• $\left(-1+i\right)\left(1-i\right)$

When $\frac{3+4i}{2+i}$ is expressed in the form   $a+bi$  , what is the value of  $a$  ? 

• 1

• 3/2

• 2

• 3

• 4

Which of the following is equivalent to   $i^{101}$  , where   $i=\sqrt{-1}$  is the imaginary unit

• 1

• -1

•  $i$  

• 0

•  $-1$  

What is the value of  $q$  in the equation   $\frac{2}{2q+3}=\frac{1}{8}$  ?  

• 5/2

• -13/2

• 13/2

• 1/2

• -1/2