Alg. 2 : Semester 2 Final Exam 2021

4|5x-2|+7>39

• -6/5<x>2

• x<2 or x> -6/5

• x<2 and x> 6/5

• x< -6/5 or x>2

Solve for x
3 l 4w−1 l −5 = 10

• x = 1.5 and x =-1
• x = -1.5 and x = 1
• x =1 and x = -1
• No Solution

Use the graph to determine the solutions.

• -1 and -3
• 1 and -3
• 1 and 3
• -1 and 3

Solve using the Quadratic Formula.

• A
• B
• C
• D

Identify a, b and c in the standard form of the quadratic equation: $2x^2-3x=5$   

• a = 2 , b = 3, c = -5

• a = 2, b = -3, c = 5

• a = 2, b = -3, c = -5

• a = -2, b = 3, c = 5

Solutions of a quadratic equation are also called

• roots

• x-intercepts

• zeros

• All of the above

Solve using the quadratic formula.  $f\left(x\right)=2x^2-4x+7$  

•  $\frac{2\pm2i\sqrt{10}}{2}$  

•  $\frac{4\pm\sqrt{40}}{4}$  

•  $\frac{2\pm i\sqrt{10}}{2}$  

•  $\frac{2\pm2i\sqrt{40}}{4}$  

Solve by completing the square.
 $x^2-8x-14=0$  

•  $x=\left\{4\pm\sqrt{30}\right\}$  

•  $x=\left\{4\pm i\sqrt{2}\right\}$  

•  $x=\left\{-4\pm\sqrt{30}\right\}$  

•  $x=\left\{4\pm\sqrt{2}\right\}$  

What do you do to the b value to correctly complete the square?

• square it
• divide it by 2 and square the result
• divide it by 2 and take the square root of the result
• divide it by 2 only

Solve by factoring: x² + 3x - 18 = 0

• x = -3 and x = 6
• x = 3 and x = -6
• x = -9 and x = 2
• x = 9 and x = -2