MATH 30 ONLINE
ELEMENTARY ALGEBRA

INSTRUCTOR INFORMATION:

Shannon Gracey

Phone: (760) 757-2121 ext. 6306
e—mail: sgracey@miracosta.edu
web page: www.mathchick.net

 

SYLLABUS

MyMathLab Access Code Instructions

Elementary Algebra Guided Notebook by Shannon Gracey

HOMEWORK can be found on http://pearsonmylabandmastering.com

PREVIOUS EXAM 1/KEY
PREVIOUS EXAM 2/KEY
PREVIOUS EXAM 3/KEY

Lecture Movies

Chapter 1
1.1: Introduction to Algebra--Variables and Mathematical Models
1.2: Fractions in Algebra

1.3: The Real Numbers

1.4: Basic Rules of Algebra

1.5: Addition of Real Numbers

1.6: Subtraction of Real Numbers

1.7: Multiplication and Division of Real Numbers

1.8: Exponents and Order of Operations

Chapter 2
2.1: The Addition Property of Equality

2.2: The Multiplication Property of Equality

2.3: Solving Linear Equations
2.4: Formulas and Percents

2.5: An Introduction to Problem Solving

2.6: Problem Solving in Geometry
2.7: Solving Linear Inequalities

Chapter 3
3.1: Graphing Linear Equations in Two Variables
3.2: Graphing Linear Equations Using Intercepts
3.3: Slope
3.4: The Slope-Intercept Form of the Equation of a Line

3.5: The Point-Slope Form of the Equation of a Line

Chapter 4
4.1: Solving Systems of Linear Equations by Graphing
4.2: Solving Systems of Linear Equations Using Substitution
4.3: Solving Systems of Linear Equations Using the Addition Method
4.4: Problem Solving Using Systems of Equations

Chapter 5
5.1: Adding and Subtracting Polynomials

5.2: Multiplying Polynomials

5.3: Special Products
5.4: Polynomials in Several Variables

5.5: Dividing Polynomials

5.6: Long Division of Polynomials and Synthetic Division
5.7: Negative Exponents and Scientific Notation

Chapter 6
6.1: The Greatest Common Factor and Factoring By Grouping
6.2: Factoring Trinomials Whose Leading Coefficient Is One
6.3: Factoring Trinomials Whose Leading Coefficient Is Not One
6.4: Factoring Special Forms

6.5: A General Factoring Strategy
6.6: Solving Quadratic Equations by Factoring

Chapter 7
7.1: Rational Expressions and Their Simplification

7.2: Multiplying and Dividing Rational Expressions
7.3: Adding and Subtracting Rational Expressions with the Same Denominator

7.4: Adding and Subtracting Rational Expressions with Different Denominators
7.5: Complex Rational Expressions
7.6: Solving Rational Equations
7.7: Applications Using Rational Equations and Proportions

SOLUTIONS:

#9 from Ch.1-2.3 practice

several items from Ch. 2.4-3 practice

several items from Ch. 4 practice

EXAM 1/CH. 2-3  
EXAM 2/CH. 4-5  

USEFUL LINKS

ONLINE TUTORING (RICARDO HAUSZ)

Area of a Circle Animation

Volume of a Sphere Animation

PREREQUISITES

The prerequisite for Math 30 is completion of Math 20 with a grade of “C” or better,
or a qualifying score on the Math Competency Exam (MCE).

COURSE DESCRIPTION

Designed to prepare students for Intermediate Algebra. Elementary Algebra
teaches simplifying algebraic expressions involving polynomials and rational terms; factoring; solving linear equations; solving quadratic equations using factoring; analyzing graphs of linear equations; and solving applied problems. This course will also include an introduction to algebraic operations with rational expressions.

 

STUDENT LEARNING OUTCOMES

Upon successful completion of Math 30:

  1. Students will be able to make use of factoring techniques, solve quadratic equations by factoring, and make use of factoring to simplify rational expressions.

  2. Students will be able to translate English phrases into algebraic expressions and equations, and solve applied problems.

  3. Students will be able to perform operations related to linear equations in two variables, solve systems of linear equations, and solve applications which can be modeled using systems of linear equations.

COURSE OBJECTIVES

At the end of this course you should be able to…

(1) evaluate and simplify algebraic expressions using the rules of exponents, order of operations, combining like terms, and the distributive property
(2) add, subtract, multiply and divide using either monomials or polynomials;
(3) solve a linear equation or inequality and check the solution;
(4) analyze verbal problems, model with appropriate equations, substitute the known values, solve the resulting equations, and interpret the result in the context of the problem;
(5) factor polynomials;
(6) simplify, multiply and divide rational expressions;
(7) graph first degree equations in two variables;
(8) write an equation for a
given line, identify the slope of a line; and
(9) solve quadratic equations by factoring.

 

INDIVIDUAL WORKSHEETS

CHAPTER 1
1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8
FRACTION WORKSHEET

CHAPTER 5
5.1 5.2 5.3 5.4 5.5 5.6 5.7

CHAPTER 2
2.1 2.2 2.3 2.4 2.5 2.6 2.7

CHAPTER 6
6.1 6.2 6.3 6.4 6.5 6.6

CHAPTER 3
3.1 3.2 3.3 3.4 3.5
grahing linear equations in 2 variables

CHAPTER 7
7.1 7.2 7.3

CHAPTER 4
4.1 4.2 4.3 4.4 4.5

Chapter 1 Practice
Practice Exam 1: Ch. 1-2

Practice Exam 2: Ch. 3-4.4
Practice Exam 3: Ch. 5-6
PRACTICE FINAL

 

 

 

 

 

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