This page is part of the 2016 Lane website archive, and is presented for historical reference only.

Math 95

College Algebra: Math 95

Algebra for College Students (Custom Edition for LCC)

Robert Blitzer 

Chapter 1: Variable, Real Numbers and Mathematical Models

1.2 Fractions in Algebra

Dividing Mixed Numbers

Adding Fractions with Like Denominators

Finding Common Denominators

Adding Fractions with Unlike Denominators

Multiplying fractions

Translating English to algebraic expressions

Determine whether a given number is a solution to an equation

Chapter 2: Linear Equations and Inequalities in One Variable

2.3 Solving Linear Equations

Solving Equations 1

Solving Equations 2

Solving Linear Equations 3

Solving Equations for the Specified Variable

2.4 Formulas and Percents

Identifying Percent Amount and Base

Solving Percent Problems

Solving Percent Problems 2

Solving Percent Problems 3

Percent and Decimals

2.5 An Introduction to Problem Solving

Growing by a Percentage

Solving Problems Involving Consecutive Integers, Consecutive Odd Integers

Solving a Word Problem Involving a Rental Car

Chapter 5: Exponents and Polynomials

5.1 Adding and Subtracting Polynomials

Understand the vocabulary used to describe polynomial 

Adding Polynomials 1

Subtracting Polynomials

5.2 Multiplying polynomial

Product rule of exponents

Additional exponent rules

5.3 Special Products

Special Products of Polynomials

Special Products of Polynomials 2

5.4 Polynomials in Several Variables

Subtracting Polynomials

Multiplying Polynomials

5.5 Dividing Polynomials

Use the quotient rule for exponents

Use the zero exponent rule

5.7 Negative Exponents and Scientific Notation

Exponent Properties

Scientific Notation

Scientific Notation (alternate)

Chapter 6: Factoring Polynomials

6.1 The greatest Common Factor and Factoring by grouping

GCF of Polynomials, Factoring by Grouping

6.2 Factoring Trinomials Whose Leading coefficient is 1

Factoring Trinomials

6.3 Factoring Trinomials Whose Leading Coefficient is not 1

Factoring Trinomials

6.4 Factoring Special Forms

Difference of Squares

Perfect Square Trinomial / Binomial Squared

Sum and Difference of Cubes

6.5 A General Factoring Strategy

Blitzer made this entire section about strategies. Read the strategies in the Blitzer text, applying the same rules of factoring you've learned above.

6.6 Solving quadratic equations by Factoring

Zero Product Property

What is a Quadratic Equation?

A quadratic equation is an equation containing x^2 (x squared) which is set equal to zero
to solve: factor and apply the zero product property.

Chapter 7: Rational Expressions

7.2 Multiplying and Dividing Rational expressions

Multiplying Rational Expressions

Dividing Rational Expressions

7.4 Adding and Subtracting Rational Expressions with Different Denominators

Adding and Subtracting Rational Expressions

7.5 Complex Rational Expressions

Simplifying Complex Rational Expressions

7.6 Solving Rational Equations

Solving Rational Equations

Solving Rational Equations - Examples

7.7 Applications Using Rational Equations and Proportions

Distance, Rate, Time

Word problems about "work"

Work problem example

Similar Triangles

7.8 Modeling Using Variation

Direct Variation

Inverse Variation

Chapter 8: Basics of Functions 

8.1 Introduction to Functions

Functions - an Introduction

Chapter 9: Inequalities and Problem Solving 

9.1 Reviewing Linear Inequalities and Using Inequalities in Business Applications

Solving Linear Inequalities

Systems of Linear Inequalities

9.2 Compound Inequalities

Compound Inequalities

Compound Inequalities (examples and solutions)

note: in your textbook, the N-looking thing means "and" the U-looking thing means "or 10.1

Roots and Radicals

Chapter 10: Radicals, Radical Functions, and Rational Exponents 

10.2 Rational Exponents

Rational Exponents

Exponents Which Are Rational

10.3 Multiplying and Simplifying Radical Expressions

Multiplying Radical Expressions

Multiplying, Simplifying Radicals

10.4 Adding, Subtracting, and Dividing Radical Expressions

Adding Roots

Dividing Radicals

10.5 Multiplying with More Than One Term and Rationalizing Denominators

Rationalizing the Denominator

10.6 Radical Equations

Radical Equations

10.7 Complex Numbers

Complex Numbers (intro)

Introduction to Complex Numbers

Chapter 11: Quadratic Equations and Functions

11.1 The Square Root Property and Completing the Square; Distance and Midpoint Formulas

The Square Root Property

Solving Quadratic Equation Using Square Root Property

Completing the Square 1

Completing the Square 2

Completing the Square 3

Pythagorean Theorem

Distance Formula

Midpoint Formula

 11.2 The Quadratic Formula

Quadratic Formula

Quadratic Formula

Discriminant

 11.3 Quadratic Functions and Their Graohs

Graphing Quadratics

Graphing Quadratics 2

 11.4 Equations Quadratic in Form

Equations in Quadratic Form

Quadratic Form

Chapter 12: Exponential and Logarithmic Functions 

12.1 Exponential Functions

Intro to Exponential Functions

Graphing Exponential Functions

Exponential Functions (lecture video)

Patterns in Exponential Functions

 12.2 Logarithmic Functions

Logarithmic Functions

Logarithm Lecture

Properties of Logarithms

 12.3 Properties of Logarithms

Change of Base of Logarithms