Introductory Algebra
MAT 092
Course Information
Textbook Information
Title:
Author:
Publisher:
ISBN:
Developmental Mathematics (MAT 092/101/121)
Bittinger, Beecher
Pearson Custom Publishing
0-536-38895-4
Sections to Cover
This textbook contains TWO (2) Chapter 8s. To designate, the Chapter 8 in the back of
the book will be referred to as Supplemental Chp. 8
Chapter or
Appendix
Chp. 8
Chp. 9
Appendix G
Chp. 10
Chp. 11
Section
8.3
8.4
8.5
8.6
8.7
8.8
All
All
11.1
11.2
11.3
11.4
11.5
Appendix F
Chp. 12
12.1
12.2
12.3
12.4
12.5
12.9
Topic
Solving Linear Equations
Formulas
Applications of Percent
Applications and Problem Solving
Solving Inequalities
Applications and Problem Solving with Inequalities
Graphs of Linear Equations
Finding Equations of lines: Point-Slope Equations
Polynomials: Operations
Introduction to Factoring
Factoring trinomials of the type x2 + bx + c
FOIL Method of Factoring
The ac Method of Factoring
Factoring Trinomial Square and the Difference of Squares
Factoring Sums or Differences of Cubes
Multiplying and Simplifying Rational Expressions
Division and Reciprocals
Least Common Multiples and Denominators
Adding Rational Expressions
Subtracting Rational Expressions
Direct and Inverse Variation
Notes
MAT 092
Learning Outcomes and Standards
Learning Outcome
1. Perform the basic operations with polynomials.
2. Apply the laws of exponents.
3. Evaluate problems involving scientific notation.
4. Solve variation problems.
5. Utilize various factoring techniques to completely
factor polynomials.
6. Perform the basic operations with rational
expressions.
7. Construct linear models and graphs given multiple
representations of the function.
8. Describe the rate of change of a linear function.
Standard(s)
1a. Apply appropriate rules to add, subtract, multiply
and divide two or more polynomials.
1b. From a list of algebraic terms, identify those terms
that are like terms.
1c. Evaluate the sum, difference, product, and quotient
of algebraic expressions by applying the appropriate
rules of combining and multiplying.
2. Apply the appropriate laws of exponents to simplify
problems involving the product and/or quotient of
expressions with exponents and to express answers
without any negative exponents.
3a. Covert numbers expressed as scientific notation to
standard notation and vice versa.
3b. Solve problems with extreme values and express
the solution in scientific notation.
4. Apply the formulas for direct and inverse variation
to set up and solve variation problems
5a. Factor polynomials completely using the Greatest
Common Factor and grouping techniques.
5b. Factor polynomials that are the difference of two
perfect squares or the sum or difference of two perfect
cubes.
6a. Add, subtract, multiply and divide rational
expressions.
6b. Determine the domain and range of rational
expressions.
7a. Given a set of data, construct a linear model and
use it to describe trends and make predictions.
7b. Given a function represented as a table, graph,
equation or verbal description, represent the function
in the three other forms.
8. Within an application describe the meaning of the
rate of change of a function.