Name________________________________
Date__________ Period__________
Algebra 2 – Chapter 5 Test Part 2 (5.6-5.8)
Simplify each expression.
1.
 50
 12
2.
Simplify each expression.
3. (3  i )  (7  6i )
4. (4  9i )  (5  7i )
5. (3  4i )(5  2i )
6. (5i  3)( 2i  6)
Find the additive inverse of each number.
7.
 7  2i
 2  3i
8.
Graph each number on the complex plane and find its absolute value.
9.
3  4i
10.
8  10i
Imaginary
Imaginary
10
10
8
8
6
6
4
4
2
-10 -8
-6 -4
-2
2
2
4
6
8 10
Real
-10 -8
-6 -4
-2
2
-2
-2
-4
-4
-6
-6
-8
-8
-10
-10
Absolute Value __________
4
6
Absolute Value __________
8 10
Real
Name________________________________
Date__________ Period__________
Solve each quadratic equation by using the quadratic formula. Find the solutions.
11. x  5 x  6  0
2
12. 2 x  6 x  1  0
13. 2 x  4 x  4  0
2
2
Solve by completing the square. Show your work.
14. x2 + 4x – 21 = 0
15. x2 – 8x – 33 = 0
16. 3x2 + 18x + 12 = 0
Find the discriminant of each equation. How many real and imaginary solutions does each have?
17. x  4 x  3  0
18. 3 x  4 x  3  0
Discriminant
__________
Discriminant
__________
Real
__________
Real
__________
Imaginary
__________
Imaginary
__________
2
2
19. A ball has been thrown upward from ground level. Its height h, in feet, above the ground after t seconds is h  48t  16t .
Find the maximum height of the ball.
2
20. Suppose a parabola has a vertex in Quadrant IV and a < 0 in the equation
How many real solutions will the equation ax  bx  c  0 have?
2
y  ax 2  bx  c .