# Intermediate Algebra with Review

**A. TEXTBOOK(S) AND REQUIRED TOOLS OR SUPPLIES**

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

**B. COURSE DESCRIPTION**

The course covers both elementary and intermediate algebra topics and prepares
the student for

MAT1083 College Algebra.

**C. METHOD OF INSTRUCTION **

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.

**D. COURSE OBJECTIVES**

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

will 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.

**E. COURSE TOPICS/UNITS**

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

**F. COURSE COMPETENCIES**

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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