Algebra Homework
Page 6 of 6
I have completed this assignment myself; working independently and not consulting anyone except the instructor.
Write your name here:
Multiple-choice: Select the correct answer and write it in the space provided.
Do not show work; write only one of the letters A, B, C, or D.
01. (4 pts) Solve using the Quadratic formula: 
. 1. Ans: ____
A. 2
B. 
C. 
D. 
02. (4 pts) Solve the equation: 
2. Ans: _____
A. 
B. 
C. 
D. 
03. (4 pts) Solve the rational equation: 
. 3. Ans: _____
A. 
B. 
C. 
D. No solution
04. (4 pts) Solve the rational equation: 
4. Ans: ___
A. 2
B. 3
C. 4
D. 5
05. (4 pts) Solve the inequality. 
Write the solution using interval notation: 5. Ans: ____
A. 
B. 
C. 
D. 
06. (4 pts) Find the minimum or maximum value of
,
and give the coordinates of the vertex of the parabola.
6. Ans: ____
A. Maximum = 3; vertex (3, 4)
B. Maximum = 4; vertex (4, 3)
C. Minimum = 4; vertex 
D. None of the above
07. (4 pts) Find the Vertex and indicate the direction that the parabola opens:
7. Ans: _____
A. Vertex 
and Opens Up.
B. Vertex 
and Opens Up.
C. Vertex and Opens Down.
D. Vertex and Opens Down.
8. (4 pts) Simplify: 
8. Ans: _____
A. 1
B. -1
C. 
D. 
09. (4 pts) Multiply: 
. 9. Ans: ____
A. 
B. 7
C. 
D. 
10. (4 pts) Express in the standard form
: 
10. Ans: ____
A. 
B. 
C. 
D. 
11. (4 pts) Find the Vertical Asymptote: 
11. Ans: _____
A. x=2
B. x=-2
C. x=-4
D. x=4
12. (4 pts) Find the Horizontal Asymptote: 12. Ans: _____
A. x=2
B. x=-2
C. x=-1
D. x=1
13. (4 pts) Let f (x) = -2x3+4x2-x+1. Use the Intermediate Value Theorem to determine which interval must contain a zero of f(x).
13. Ans: _____
A. Between 0 and 1
B. Between 1 and 2
C. Between 2 and 3
D. Between 3 and 4
14. (4 pts) True or False: Let y=f(x) be a polynomial function. The x-intercepts of the function f(x) are the roots of the equation f(x) = 0.
14: Ans._____
15. (4 pts) True or False. Let y=f(x) be a polynomial function of degree 3.
The function y=f(x) must have at least one real root. 15. Ans: ____
16. (4 pts) True or False. It is possible for a quadratic equation with real coefficients to have one real and one complex root.
16. Ans: ____
17. (6 pts) Consider the graph of the polynomial y=p(x). Answer the following questions. (No explanation needed)
(a) Is the degree of p(x) even or odd? Ans: _____
(b) Is the leading coefficient positive or negative? Ans. ______
(c) How many real number zeros are there? Ans: _____
18. (15 pts) Let 
. (No explanations required)
(a) State the y-intercept.
(b) State the x-intercept(s).
(c) State the vertical asymptote(s).
(d) State the horizontal asymptote.
(e) Draw the graph. Show the asymptotes.
19. (5 pts). Translate this sentence about area into a mathematical equation.
The area A of a regular hexagon is directly proportional to the square of the length s of its side.
20. (10 pts). Find all solutions, real and complex, of the equation x2-4x+5=0.
Simplify as much as possible and clearly show all the steps.
