Algebra 2 5.0
Review – Quadratics #1
Name ___________________
Date _____________ Pd. ___
Cumulative Questions on Test:
Composition of Functions, Absolute Value Inequality, Transformations from a graph
Solve each quadratic equation by either factoring, extracting the root, or using the quadratic
formula. Show ALL work and give exact solutions.
Please circle your final answer(s).
1) 16x 2  49  0
2) 9x 2  30x  25  0
4)
5) 3  x  2  4  44
6)
8) 2x 2  3x  5  2
9) 3x 2  8x  6  0
4x 2  20
7) 10x 2  3x  2  0
2
3) 3x 2  30x  48  0
10  3x 2  4
Simplify: Remember the pattern: i 1  i i 2  1 i 3  i i 4  1
10) i 62 = ______
11) i 101 = ______
12) i 51 = ______
13) i 1322 = ______
15)
16)
17)
Simplify:
14)
96 = ______
169 = ______
350 = ______
84 = _____
Find the discriminant for each quadratic equation and state the nature of the solutions. Then
solve and simplify. If there are no real solutions write your answers in the form a  bi .
18) 3x 2  4x  5
19) x 2  6x  9
Discriminant: __________
# and Nature of solutions: ____________
Discriminant: __________
# and Nature of solutions: _____________
Solution: ____________________
Solution: _______________________
Perform the indicated operation:
20)
(5  i )  (18  5i )
23) (5  i )(5  i )
26)
2  5i 
3
Find the x and y value such that:
29) -4x + 5iy = 24 – 7i
21) (1  2i )  (4  9i )
2
4 i
24)

22) (7  2i )(1  i )
5  2i
3  6i
25)

27) i 2 5i  3i 3  4i 6
30)
28)
6i 3
i
6x + 4iy = -18 – 32i