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College Algebra - Final Exam Review | MATH 1111, Exams of Algebra

Material Type: Exam; Class: College Algebra; Subject: Mathematics; University: Columbus State University; Term: Fall 2006;

Typology: Exams

Pre 2010

Uploaded on 08/04/2009

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Version A
Last Name: , First Name:
Final Exam, College Algebra, Fall 2006
Please include all the work on the test pages provided.
1.(5 points) Solve the next inequality and express your answer using set
notation or interval notation:
4x2+ 4x3>0.
Answer :
2.(5 points) Find all solutions of the following equation:
25x
3+x1
15 = 1.
Answer :
3.(5 points) Solve the inequality below and express your answer using set
notation or interval notation:
2x5
x+ 3 0.
Answer :
1
pf3
pf4
pf5

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Version A Last Name: , First Name: Final Exam, College Algebra, Fall 2006

Please include all the work on the test pages provided.

  1. (5 points) Solve the next inequality and express your answer using set notation or interval notation:

4 x^2 + 4x − 3 > 0.

Answer :

  1. (5 points) Find all solutions of the following equation: 2 − 5 x 3

x − 1 15

Answer :

  1. (5 points) Solve the inequality below and express your answer using set notation or interval notation:

2 x − 5 x + 3

Answer : 1

  1. (5 points) Given that x = 2 is a zero of the polynomial P , find all re- maining zeros if

P (x) = x^3 − 3 x^2 + 4x − 4.

Answer :

  1. (5 points)Find the coordinates of the center and the radius of the circle of equation

x^2 + y^2 − 6 x + 10y = 87.

Answer :

  1. (5 points) Solve the following logarithmic equation for x:

log 16 (3x − 5) =

Answer :

√^10.^ (5 points)^ Find the domain of the function given by the rule^ h(x) = 2 − 3 x x + 1

and express your answer using set notation or interval notation.

Answer :

  1. (5 points) The function f (x) =

2 x − 1 x + 3

is one-to-one on its implicit

domain. Find its inverse.

Answer :

  1. (5 points) The graph of a one-to-one function, f , is provided. Draw the graph of the inverse function f −^1 on the same system of coordinates.
  1. (5 points) For the two functions, u and v, defined on their implicit domain, by u(x) = 3x^2 − 2 and v(x) =

1 − 2 x , find (a) the rule (in simplified form) of the composition u ◦ v, (b) the domain of u ◦ v.

  1. (5 points) Given the function g(x) = 1 − x − x^2 , find the average rate of

change of g from 2 to a:

g(a) − g(2) a − 2

and write it in a simplified form.

Answer :

  1. (5 points) Solve the inequality and express your answer using set notation or interval notation: | 3 x + 1| ≤ 2.

Answer :

  1. (5 points) Complete the following formulae:

(a) x^2 − y^2 =

(b) n

xm^ = x?^ , x > 0 , m, n = 2, 3 , ...

(c) (xs)(xt) = , x > 0

(d) (x − y)^2 =

(e)

a^2 =

  1. (5 points) Solve the following logarithmic equation: log 10 (3x − 4) + log 10 (x + 1) = 1.

Answer :