Docsity
Docsity

Prepare for your exams
Prepare for your exams

Study with the several resources on Docsity


Earn points to download
Earn points to download

Earn points by helping other students or get them with a premium plan


Guidelines and tips
Guidelines and tips

MATH 101 College Algebra: Practice Exam II Solutions - Spring 2009, Exams of Algebra

The solutions to practice exam ii for college algebra (math 101) at harford community college, taught by instructor s. Rook, during spring 2009. The solutions cover topics in chapters 3-4, 5.1, and 6.1, including long division, synthetic division, rational zeros theorem, rational functions, vertical and horizontal asymptotes, and logarithmic and exponential equations.

Typology: Exams

Pre 2010

Uploaded on 08/18/2009

koofers-user-uqd
koofers-user-uqd 🇺🇸

10 documents

1 / 10

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
Harford Community College Name: KEY
STEM Division Date_____________________
Spring 2009 Instructor: S. Rook
MATH 101 – College Algebra: Practice Exam II Detailed Key, Chapters 3 – 4, 5.1, 6.1
1) Divide using long division:
12832
23
+ xxx
2) Use synthetic division to show whether
(
)
7
x
is a factor of the polynomial
(
)
77
23
++= xxxxP - make a conclusion based on the result:
pf3
pf4
pf5
pf8
pf9
pfa

Partial preview of the text

Download MATH 101 College Algebra: Practice Exam II Solutions - Spring 2009 and more Exams Algebra in PDF only on Docsity!

Harford Community College Name: KEY

STEM Division Date_____________________

Spring 2009 Instructor: S. Rook

MATH 101 – College Algebra: Practice Exam II Detailed Key, Chapters 3 – 4, 5.1, 6.

  1. Divide using long division : 2 3 8 12

3 2 x + xx

2) Use synthetic division to show whether ( x − 7 )is a factor of the polynomial

3 2 P x = − x + x + x − - make a conclusion based on the result :

  1. Use the Rational Zeros Theorem to find the zeros of

Q ( x ) 2 x 7 x 10 x 24 x

4 3 2 = − − +

Use the rational function 3 13 12

2

2

x x

x R x for 4) – 8) to find:

  1. The equations of any vertical asymptotes :
  1. Find f

- ( x ) (the inverse) of ( ) 32 1

5 f x = x − AND algebraically verify that f( x ) and f

- ( x )

are inverses :

10) Solve: ( ) ( )

x x

− −  

13

  1. Write in logarithmic format :

a) a

9 = w b) 12 = 144

x

log (^) a w = 9 log 12144 = x

  1. Write in exponential format AND find the value : log 2128 = x

13) Solve – exclude any extraneous solutions : log 4 ( 5 x + 4 )= 2 +log 4 ( 2 x − 5 )

  1. Find the amount when $9,800 is invested for 6 years at a rate of 5.25%, compounded

quarterly – round to the nearest hundred dollars :

nt

n

r A P  

  1. Find the equation of the parabola in standard form with directrix of y = 5 and focus of

(-1, -3).

  1. Find the vertex , focus , directrix , AND sketch the parabola: y 2 x

2 =−

  1. Solve the system of equations by using either substitution or elimination :

x y

y x