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Exam 3 Form B - College Algebra I | MATH 112, Exams of Algebra

Material Type: Exam; Class: College Algebra I; Subject: Mathematics and Statistics; University: Bowling Green State University; Term: Spring 2009;

Typology: Exams

Pre 2010

Uploaded on 08/18/2009

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Math 112 – College Algebra I
EXAM THREE: Sections 2.5, R.3, R.5, R.6, R.7
Tuesday, March 31, 2009
Name:
Instructor: ClassTime/Section:
Show all work to receive credit for each of the problems.
Incorrect answers with incorrect work shown or no work shown will NOT receive any credit.
Circle your answers and when appropriate label them.
Give answers to written questions in complete sentences.
1. (4 pts) Solve the following equation for symbolically for x.
x25=4
2. (4 pts) Solve the inequality symbolically for x. Write the solution set in interval notation.
43x>5
3. (3 pts) The graphs of two functions f and g are
shown in the figure at the right. Solve the
inequality
f x
( )
g x
( )
. Give answer in interval
notation.
f x
( )
g x
( )
pf3
pf4
pf5

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Math 112 – College Algebra I

EXAM THREE: Sections 2.5, R.3, R.5, R.6, R.

Tuesday, March 31, 2009

Name: Instructor: ClassTime/Section:

  • Show all work to receive credit for each of the problems.
  • Incorrect answers with incorrect work shown or no work shown will NOT receive any credit.
  • Circle your answers and when appropriate label them.
  • Give answers to written questions in complete sentences.
  1. (4 pts) Solve the following equation for symbolically for x. € x − 2 − 5 = 4
  2. (4 pts) Solve the inequality symbolically for x. Write the solution set in interval notation. € 4 − 3 x > 5
  3. (3 pts) The graphs of two functions f and g are shown in the figure at the right. Solve the inequality € f (^) ( x ) ≥ g (^) ( x ). Give answer in interval notation. (^) € f (^) ( x ) g (^) ( x )
  1. (4 pts) The table below shows the temperature at three times during the day on March 12, 2009 in Bowling Green. Assume that the temperature rose and fell at a constant rate. Time (hours past midnight) 9 17 23 Temperature in degrees Fahrenheit 23.5 28.9 24. Find the values for the constants a, b and c symbolically, so that €

T ( x ) models the data exactly. Let x be

the hours past midnight. You must show your work to get credit for the problem. €

T ( x ) =

0.675( x − 9 ) + 23.5 if 9 ≤ x < 17

a ( x − b ) + c if 17 ≤ x ≤ 23

  1. Use €

f ( x ) to complete the following.

f ( x ) =

2 x + 7 if - 5 ≤ x ≤ - 4 if - 3 < x ≤ 4

a. (2 pts) Give the domain of €

f ( x )

b. (4 pts) Evaluate each of the following. €

f (− 3 ) =

f ( 2 ) =

c. (5 pts) Sketch the graph of

f ( x ).

  1. (3 pts each) Simplify the expressions. Assume that all variables are positive. Write answers in exponential notational without negative exponents. a. € xy^4

3 x −^3 y^12 b. € − 3 −^3 x^4 xy −^2

− 2 a. € x 6 y^4 b. € x^4 3 ⋅ x^4 c. x −^2

1 5 x^4

2 3 d. € p 1 5 p 4 / 5

  • p
  1. (4 pts each) Factor each polynomial completely. a. € 15 x^3 + 2 x^2 − x b. € 24 x^2 y + 3 xy + 6 y c. € 3 x 3
  • 4 x 2
  • 3 x + 4 d. € 9 x 2 − 42 x + 49
  1. (4 pts each) Simplify the following expressions. a. x^2 + 9 x + 6 x 2
  • 2 x − 15

x − 9 x 2

  • 2 x − 15 b. €

x + 4

5 x + 1 x 2

  • 9 x + 20