Unit 4 Practice Test
Algebra II
Important Questions
When is the test? Can you use a graphing calculator?
How long should the average student study for this test?
How can quadratic functions and equations be recognized?
What are complex numbers and how can they be represented?
What is the quadratic formula used for?
What formulas need to be memorized?
What formulas will be given?
What are synonyms for solution?
How are solutions of quadratics determined by graphing?
What are the different methods for solving quadratic equations?
How can the motion of a projectile be expressed using a quadratic?
How are complex numbers added, subtracted and multiplied?
How can the imaginary and complex number sets be represented using a Venn
diagram?
What is i?
Vocabulary
quadratic, modeling, vertex form, vertex, axis of symmetry, y-intercept, transformation,
translation, stretch, shrink, standard form, gcf, factor, binomial, trinomial, difference of
square, perfect square trinomials, square roots, simplify, solve, solution, root, zero, xintercepts, projectile motion, projectile, acceleration, velocity, height, gravity, time, initial,
imaginary, complex, quadratic formula
Review Questions
5.1-5.3 Properties of Quadratics (5%, 1 question)
1-2 Create an accurate graph by hand
1. y  3( x  1) 2  3
2. y   12 ( x  4) 2
3-4 Determine the equation that is represented by the graphs
3.
4.
5.4 Factoring (20%, 3 questions)
5.
6.
7.
8.
9.
10.
5 x 2  25 x
9n 5  27 n 7  24n10
80a 2 b 3  68a 4 b 5  28a 3 b 2 c 3
x 2  17  72
x 2  x  72
x 2  12 x  36
11.
n 2  x  20
12.
3 p 2  9 p  12
13.
12 x 2  35 x  25
14.
10 g 2  10 g  60
5.5 Quadratic Equations (20%, 2 questions)
15-18 Solve the Equation
15.
x 2  4 x  21  0
17.
x 2  24  11x
x 2  7 x  10  0
16.
18.
8 x 2  5 x  42  4 x 2  2 x
Projectile Motion (10%, 1 question)
18.5. Ryan drop kicks a soccer ball with an initial vertical velocity of 20 m/s. Write a
function to represent the height of the ball. Find the hang time of the ball.
18.6. Luke sky dives from an altitude of 3,500 ft. He drops out of the plane, so he has
no intial velocity. Write a function to represent how far above the ground Luke is. How
far has he fallen in 60 seconds?
5.6 Complex Numbers (25%, 7 questions)
19.
20.
21.
22.
(6  3i )  (5  2i )
(2  9i )  (2  5i )
27.
(9  5i )  (2  19i )
28.
(  8i)  (  i)
29.
1
2
2
3
30.
23.
24.
25.
26.
4i (3  7i )
(2  7i )( 2  4i )
(3  i )(1  4i )
48
 96
  1792
 605
6
i
31.
i 83
32.
(6  i ) 2
5.8 Quadratic Formula (20%, 2 questions)
33. Solve
34. Solve
x 2  9 x  14  0
36. Solve
4 x 2  20 x  11  0
37. Solve
3x  10  4 x
2
35. Solve
7 x 2  3x  1  0
x2
 5 x  17
2