Algebra 2 Semester 1 Multiple Choice Practice

 
Solve:  $x^2-5x+18\ =\ 0$  

•  $x\ =\ \frac{5\ \pm i\sqrt{47}}{2}$  

•  $x\ =\ \frac{-5\ \pm i\sqrt{47}}{2}$  

•  $x\ =\ \frac{5\ \pm i\sqrt{97}}{2}$  

•  $x\ =\ \frac{-5\ \pm i\sqrt{97}}{2}$  

For the parabola:   $y\ =\ -2\left(x+3\right)^2+5$  determine its max or min and find the axis of symmetry.

• max = 5, x = 5

• max = 5, x = –3       

• min = 3, y = 5              

• min = 5, x = –3

Factor completely:  $g^3-27$  

•  $\left(g-3\right)\left(g^2+9\right)$  

•  $\left(g+3\right)\left(g^2-3g+9\right)$  

•  $\left(g-3\right)\left(g^2+3g+9\right)$  

•  $\left(g-3\right)\left(g-3\right)\left(g-3\right)$  

Solve the system. Give the value of x that satisfied the system:  
  $2x-y+z=1$  
 $3x-2y+2z=0$  
 $-x+y-2z=5$  

• 3

• 0

• -1

• 2

What is the equation of the transformation of y=x² up 4 units and right 2 units?

• $y=\left(x-2\right)^2+4$

• $y=\left(x+2\right)^2+4$

• $y=\left(x-2\right)^2-4$

• $y=2x^2+4$

Find the equation of a line that goes through the points (–4, 2) and (2, 5).

• $y=\frac{1}{2}x+4$

• $y=-\frac{3}{2}x+8$

• $y=2x+1$

• $y=-\frac{1}{2}x+6$

Find all zeros of the equation:  $f\left(x\right)=3x^2+14x-5$  

•  $x=\frac{5}{3},\ -1$  

•  $x=-\frac{1}{3},\ 5$  

•  $x=1,\ -5$  

•  $x=\frac{1}{3},\ -5$  

Find all zeros of the equation: y= 4x³ +2x²+2x+1

• $\frac{1}{2},\ \pm\frac{i}{2}$

• $-\frac{1}{2},\ \pm\frac{i}{2}$

• $1,\ \pm\frac{i\sqrt{2}}{2}$

• $-\frac{1}{2},\ \pm\frac{i\sqrt{2}}{2}$

Write the equation of a polynomial function with roots 5 and 2+i .

• $0=x^3-9x^2+25x-25$

• $0=x^3+x^2-15x+25$

• $0=x^3-9x^2-15x-25$

• $0=x^3-5x^2-25x+25$

Multiply and write your answer in standard form: $\left(-1+8i\right)\left(7+3i\right)$  

• -31 + 53i

• 6 + 11i

• 46 + 24i

• 16 + 53i