Algebra 2
Review – Unit 3 –Quadratics (Part 2)
Name ________________________________________
Simplify each expression. Leave answer in radical form.
1.
48
2.
 120
3. (  12 )( 8 )
Simplify each expression.
4. (3 + 4i) – (7 – 2i)
5. (5 – i)(9 + 6i)
6. (3 + 8i) + (5 – 2i)
7. 4i(7 + 8i)
8. (4 + 6i)(2 + i)
9. (-5i)(-10i)
Solve each equation by finding square roots.
10. (x + 3)2 = 9
11. 4(x – 2)2 + 2 = 34
12. x2 – 9 = 0
13. 5x2 = 80
Find the additive inverse of each number.
Find the absolute value of each complex number.
(Distribute a Negative 1)
Graph the Point
14. 2 – i
15. -4 + 3i
Imaginary
10
16. 7 – 2i
8
6
4
2
-10 -8
-6 -4
-2
2
-2
-4
-6
-8
-10
4
6
8 10
Real
Solve by completing the square.
17. x2 + 6x – 7 = 0
18. x2 - 4x = 28
19. 2x2 + 8x + 8 = 0
Solve by using the Quadratic Formula.
20. 3x2 + 4x – 10 = 0
21. x2 + 3x + 5 = 0
Evaluate the discriminant of each equation. How many real and imaginary solutions does each have?
22. x2 + 6x – 7 = 0
23. 3x2 – x + 3 = 0
24. For a model rocket, the altitude h, in meters, as a function of time t, in seconds, is given by
SHOW ALL WORK!
a) What is the value of the y-intercept? What does this mean in the context of the problem?
b) What is the maximum height that the rocket reaches?
c) What is the time that the rocket has traveled when it reaches its maximum height?
d) How much time elapses before it hits the ground?
e) What is the average rate of change between t = 3 and t = 6?