Unformatted text preview: Intermediate Algebra – Final Exam
Name: ______________________________________________________
Notes: This is a 100point final. Work must be shown in order to receive credit for an answer. Word
problems must be solved using algebra, not guessandcheck. You have roughly one hour to complete
the test, so manage your time wisely. Good luck!
Intermediate Algebra – Chapter 9 Section (1) Perform the polynomial division: (x3 – 2x2 + x – 20) ÷ (x – 2) (2) Reduce to lowest terms: . (3) Solve the equation: (4) Perform the subtraction: (5) Perform the division: . . (6) Phyllis paddles her canoe 4 miles per hour in still water. In a certain river, it takes her the same
amount of time to paddle 12 miles downstream as it does to paddle 6 miles upstream. Determine the
speed of the current. Intermediate Algebra – Chapter 9 Section
(1) Use the product rule to simplify the following expressions. All variables represent nonnegative real
numbers. (a) (b) (c) (2) Use the rules of exponents to simplify each expression. Assume variables represent any real
numbers and use absolute value as necessary:
(a) (b) (c) (3) Simplify each expression:
(a) (b) (4) Simplify the products:
(a) (b) (5) Simplify each rational expression:
(a) (b) (6) Find all real solutions to each equation:
(a) Explain what the even root property is. (b) (c) Intermediate Algebra – Chapter 10 Section
(1) Solve the equation by completing the square (a) (b) (2) Solve the equation by the quadratic formula. (a) Give the Quadratic formula. (b) (c) (3) Find all real solutions to each equation
(a) (b) (4) Calculate the vertex, X Intercepts, Y Intercepts (and clearly label your answers). Sketch the
parabola:
(a) (b) (5) Graph the solution set to the inequality and give the solution set in set notation.:
(a) (b) (c) Intermediate Algebra – Chapter 10 Section
(1) Determine whether each table expresses the second variable as a function of the first variable.
(a) x y
2
3
4
5
8
9
10 4
9
16
25
36
49
100 (b) x y
2
3
4
4
8
9
10 4
9
16
25
36
49
100 (2) Graph each function and state its domain and range (a) (b) (c) (7) For each set of functions, determine (g
(a) (b) g g : ...
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 Fall '11
 olekas
 Algebra, Quadratic equation, real solutions

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