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

Bowling Green State University (BGSU)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

koofers-user-aed
koofers-user-aed 🇺🇸

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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.
€
x−2−5=4
2. (4 pts) Solve the inequality symbolically for x. Write the solution set in interval notation.
€
4−3x>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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Download Exam 3 Form B - College Algebra I | MATH 112 and more Exams Algebra in PDF only on Docsity!

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