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
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
_
_
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
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 ma
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
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 +
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
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
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
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
7
(Section 4.2) Application of Exponential Functions Calculating Compounded Interest
Last class we introduced exponential functions.
Illustrating the basic difference between polynomial and exponential
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 C
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.