Intermediate Algebra with Review


1. Hawkes Learning Systems Intermediate Algebra – ISBN: 0-918091-40-3 (courseware only)
-OR- ISBN: 0-918091-78-0 (text & courseware)
2. Required Hardware if installed on home computer:
400 MHz or faster processor
Windows 98SE or later
64 MB RAM (128 MB recommended)
150 MB hard drive space
256 color display (800 x 600, 16-bit color recommended)
Internet Explorer 6.0 or later
CD-ROM drive
3. Optional Textbook (use textbook/courseware bundle ISBN)
4. Scientific calculator

The course covers both elementary and intermediate algebra topics and prepares the student for
MAT1083 College Algebra.

This will be a problem- solving oriented class. Lesson presentations may include WriteBoard or
chalkboard, power point, and practice problems from the courseware. Homework will have three
options and unit tests will be given over the homework assignments. It is the responsibility of the
student to complete all homework assignments in order to be ready for unit tests. Due dates for
the homework will be given determined by the homework option selected by the student.
Optional practice tests will be available.


This course will:
1. Help the student develop skills which will enable him or her to solve problems and
communicate effectively using the language and techniques of algebra.
2. Acquaint the student with some of the general concepts and principles of mathematics that
serve as a basis for further studies in mathematics.
3. Help the student build confidence in his or her ability to solve problems in mathematics.
4. Encourage the student to develop and use a sound mathematical vocabulary.


1. Real Numbers , Solving Equations, and Exponents (Chapter 1)
A. Properties of Real Numbers
B. Operations with Real Numbers
C. Linear Equations and Absolute Value Equations
D. Evaluating and Solving Formulas
E. Linear Inequalities
F. Properties of Exponents
G. Exponents and Scientific Notation
2. Straight Lines and Functions (Chapter 2)
A. Cartesian Coordinate System and Straight Lines
B. Slope-intercept Form
C. Point- Slope Form
D. Introduction to Functions
E. Graphing Linear Inequalities
3. Systems of Linear Equations (Chapter 3)
A. Systems of Linear Equations (Two Variables)
B. Applications
4. Polynomials (Chapter 4)
A. Addition and Subtraction of Polynomials
B. Multiplication of Polynomials
C. Division with Polynomials
D. Introduction to Factoring
E. Special Factoring Techniques
F. Polynomial Equations and Applications
5. Rational Expressions (Chapter 5)
A. Multiplication and Division of Rational Expressions
B. Addition and Subtraction of Rational Expressions
C. Complex Fractions
D. Equations and Inequalities with Rational Expressions
E. Applications
6. Roots, Radicals, and Complex Numbers (Chapter 6)
A. Roots and Radicals
B. Rational Exponents
C. Arithmetic with Radicals
D. Functions with Radicals
E. Introduction to Complex Numbers
F. Multiplication and Division with Complex Numbers
7. Quadratic Equations and Inequalities (Chapter 7)
A. Quadratic Equations: The Quadratic Formula


At the completion of this course, the student will be able to:

1. Understand properties of real numbers.
2. Solve using operations with real numbers.
3. Solve linear and absolute value equations.
4. Evaluate and solve using formulas. *
5. Solve applications. *
6. Solve linear inequalities and absolute value inequalities. *
7. Understand and apply properties of exponents. *
8. Understand scientific notation.
9. Solve linear inequalities in one variable showing solution on a number line and in interval
notation. *
10. Solve linear absolute value equations and inequalities in one variable. *
11. Graph linear inequalities. *
12. Determine an equation of a line given two points, perpendicular to a given line, through a specific
point, parallel to a given line through a specific point. *
13. Distinguish between functions and non-functions using the vertical line test. *
14. Identify the domain and range of a function given its graph. *
15. Solve systems of linear equations in two variables. *
16. Develop and solve mathematical models including variation, mixture, motion, work and
geometrical applications. *
17. Factor quadratic, quadratic forms, special forms and grouping . *
18. Solve literal equations including those that require factoring. *
19. Solve equations by factoring and quadratic formula. *
20. Perform addition, subtraction, multiplication, and division on rational expressions. *
21. Simplify complex fractions. *
22. Solve equations containing rational expressions. *
23. Apply the laws of exponents to simplify expressions containing rational exponents. *
24. Apply the laws of radicals to perform addition, subtraction, and multiplication. *
25. Rationalize denominators containing radicals. *
26. Simplify radicals containing negative radicands . *
27. Perform operations with complex numbers. *
28. Evaluate functions using function notation. *

* Designates core outcomes and competencies for Intermediate Algebra from the Kansas Core
Outcome Project (2001, 2004, 2005).

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