College Algebra Spring 2009
Exam 3
Answer each question in the space provided. Each of the nine questions will count nearly the same.
Formulas for Questions 13:
Exponential growth, P(t) = Poekt
Exponential decay, P(t) = Poekt
1. Skeletons were found at
College Algebra
Spring 2008
Exam No. 3
Formulas
A. Exponential growth, P(t) = Poekt
B. Exponential decay, P(t) = Poekt
1. (a) In 2005, the world population was 6.4 billion, and the exponential growth rate was 1.2% per year.
Assume this growth rate is unc
College Algebra Spring 2008
Exam 2
Answer each question in the space provided. Each of the six question categories will count nearly the same.
1. (a) Given that x = 4 is a zero of f(x) = x3  6x2 + 6x + 8, find the other zeros; that is, solve completely f
College Algebra
Spring 2008
Quiz No. 3
1. (4 pts.)
(a) Write the function f ( x) = 2 x 2 + 12 x + 14 in standard form, i.e., as f ( x) = a ( x h) 2 + k .
f ( x ) = 2 x 2 + 12 x + 14
(
= 2( x
)
= 2 x 2 + 6 x + 14
2
)
+ 6 x + 9 9 + 14
2
= 2( x + 3 ) + 2( 9)
College Algebra
Spring 2009
Quiz No. 6
1. Circle the letter of each graph that shows a onetoone function.
y
y
x
x
B
A
y
y
x
x
C
D
2. Carefully sketch the graph of the inverse function for each function graphed in bold below.
(Solutions are bold dashed l
College Algebra
Spring 2009
Quiz No. 8
1. Skeletons were found at a construction site in San Francisco in 1989. The skeletons had lost 12% of
the amount of carbon14 that would be found in a living person. In 1989, how old were the skeletons?
(The decay c
Azusa Pacific University
Spring 2009
Quiz No. 11
The standard form of the equation of an ellipse discussed in Chapter 6 is:
( x h) 2 ( y k ) 2
( x h) 2 ( y k ) 2
1 or
1 , where a > b, and c a 2 b 2
2
2
2
2
a
b
b
a
The standard form of the equation of a
College Algebra
Spring 2008
Exam No. 3
Formulas
A. Exponential growth, P(t) = Poekt
B. Exponential decay, P(t) = Poekt
1. (a) In 2005, the world population was 6.4 billion, and the exponential growth rate was 1.2% per year.
Assume this growth rate is unc
College Algebra
Spring 2009
Quiz No. 5
1. Solve the polynomial inequality x3 + 3 < 3x2 + x. Express your final answer in interval notation
at the bottom where you see Solution set.
Related inequality: x3  3x2  x + 3 < 0
Related equality: x3  3x2  x +
College Algebra
Spring 2009
Quiz No. 7
1. Evaluate each of the following logarithms (calculators are not needed)
(a) log3 81 = 4
(b) log 0.10 = 1
(c) ln e4 = 4
(d) log16 1 = 0
2. To the right of each logarithm equation, write the corresponding exponentia
College Algebra
Spring 2009
Quiz No. 7
1. Evaluate each of the following logarithms (calculators are not needed)
(a) log2 32 = 5
(b) log 0.01 = 2
(c) log8 1 = 0
(d) ln e5 = 5
2. To the right of each logarithm equation, write the corresponding exponential
College Algebra
Spring 2009
Quiz No. 9
1. Write the system of equations as an augmented matrix.
x
+
2y
+
z
=
6
2x

y

3z
=
7
3x
+
y

7z
=
18
2. Convert the augmented matrix to rowechelon form. As a reminder, the rowechelon form of the
1 a b e
augmen