Alg 2 Final Exam Review 1

Find the Roots by Factoring

 $9x^2+27x=0$  

• x=-3

• x= -9 and x = -27

• x = 0 and x = -3

• x = 0 and x = 3

 Find the roots by factoring: 

 $4x^2+20x+25=0$  

•  $x\ =\ \pm\frac{5}{2}$  

•  $x\ =\ -\frac{5}{2}$  

•  $x\ =\ \pm\frac{2}{5}$  

•  $x\ =\ -\frac{2}{5}$  

Find the roots by using the quadratic formula

 $x^2+4x+13\ =\ 0$  

•  $x\ =\ 2\ \pm3i$ 

• x = 1 and x = -5

•  $x\ =\ -2\ \pm3i$  

•  $x\ =\ -2\ \pm\sqrt{17}$  

Multiply the following complex numbers

 $\left(12\ +\ i\right)\left(12\ -\ i\right)$  

•  $144\ -\ i^2$  

•  $145\ -\ 24i$  

• 145

• 143

Solve by substitution

 $y\ =\ 2x\ -\ 5$  

 $4x-y=7$  

• (-3, 1)

• (6, 7)

• (1, -3)

• (7, 6)

Describe the transformations of the graph f(x) = x³ -----> g(x) = (x - 3)³ -2

• Right 3, Down 2

• Left 3, Up 2

• Right 3, Up 2

• Left 3, Down 2

Expand  $\log\left(\frac{m^3}{n}\right)$  

• logm-log3-logn

• 3logm+logn

• 3logm-logn

• 3log(m-n)

condense log₂x - 5log₂y

• log₂(x/y⁵)

• log₂(xy⁵)

• log₂(x/y)⁵

• log₂(x/5y)

Identify the vertex and whether the graph opens up or down.

• (5, 2); opens up
• (5, 2); opens down
• (-5, 2); opens up
• (-5, 2); opens down

What is the axis of symmetry in the function f(x) = (x-1)² +2

• x = 1

• x = -1

• x = 2

• x = -2