Applications of Linear Functions and Equations
Developing Problem-Solving Strategies
1. During one year of a study on international tourism, France was the leading destination of foreign tourists
with 70 million arrivals. This exceeded the number of forei
College Algebra Spring 2008
Exam 1
1. (35 points)
(a) Factor the square of the binomial: z2 + 16z + 64
(c)
Factor completely: 81 - z4
(b)
Factor completely: 5a2 10ab + 5b2
(d)
Subtract and simplify as much as possible:
(e)
b
a
Simplify: a b
1 1
a b
y
2
y
Leading
Term
Degree
Leading
Coefficient
Classification
Match of graph
at x
(A, B, C, or D below)
1.
g ( x)
2.
1 3
x 10 x 8
2
_
_
_
_
_
f ( x) 15x 2 10 0.11x 4 7 x 3
_
_
_
_
_
3.
h( x) 0.9 x 0.13
_
_
_
_
_
4.
f ( x) 6
_
_
_
_
_
5.
g ( x) 305x 4 4021
_
_
College Algebra Worksheet
Review - Section R5 (pgs. 30-38)
A. Simplify each expression as much as possible. Some expressions may already be in
simplified form.
1.
4a b a
a
2.
4a b a
b
3.
a3
a
4.
a3
3a
5.
z 3z
3z
6.
mn nm
4
7.
x 5x
1 5
8.
1 5x
1 5
B. Add o
College Algebra Case Studies
Polynomial Inequalities (Section 3.6)
Business Application
Big Kids Toy Co. analyzed profits and losses from their games and their stuffed toy divisions. They
developed mathematical models describing how profits change from mo
Exponential Functions and Their Graphs (Section 4.2)
1. Graph and label each exponential function on the grid given below. Answer the questions for each
function by inspecting your graph and from what we discussed in class.
x
(a) f ( x) 2
1
(b) g ( x) [or
College Algebra Spring 2008
Exam 1
1. (35 points)
2
(a) Factor the square of the binomial: z2 + 16z + 64 z 8
(c)
Factor completely: 81 - z4 9 z 2 9 z 2 3 z 3 z 9 z 2
(b)
Factor completely: 5a2 10ab + 5b2 5 a 2 2ab b2 5a b
(d)
Subtract and simplify as much
Worksheet - Review of Circles (Section 6.2)
Write each circle equation in standard form: (x h)2 + (y k)2 = r2. For each circle: (a)
give the coordinates of its center; (b) state the exact value of its radius; and (c) carefully
sketch it on the appropriate
Graphs of Logarithm Functions (Sect. 4.3) Tutorial Worksheet
(a) Follow the instructions to construct the graph of f(x) = log2x.
Recall, f(x) = log2x means y = log2x. The exponential form of y = log2x is 2y = x. So, we find (x, y) values
to plot y = log2x
Worksheet - Ellipses (Section 6.2)
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
Write the following ellipse equations in standard fo
College Algebra
Spring 2009
Quiz No. 1
1. (2 pts.) Factor completely the square of the binomial a 2 10a 25 a 5
2
2. (2 pts.) Factor the difference of squares 8b 2 8c 2 8b c b c
3. (2 pts.) Simplify
7y y 8y
2
4y
4y
4. (2 pts.) Find the slope and the y-int
(Section 4.2) Application of Exponential Functions Calculating Compounded Interest
Last class we introduced exponential functions.
Illustrating the basic difference between polynomial and exponential expressions:
Polynomial expressions: x2 + x, x3 - 4x2 +
I, _, have been to my College Algebra
professors office and to the Math Center as documented by the signatures below.
Math Professor Office (Ron 154)
Printed name: _
Signature: _
Date & Time: _
Math Center (Wynn 103) Must be signed by a student tutor at t
College Algebra
Spring 2009
Quiz No. 1
1. (2 pts.) Factor the trinomial x 2 2 x 15 x 3 x 5
2. (2 pts.) Factor the difference of squares 6a 2 6b 2 6a ba b
3. (2 pts.) Simplify
7y y
7 1
7 1 y
7 1
y
4. (2 pts.) Find the slope and the y-intercept of the grap