College Algebra Study Guide and Interactive Labs
Melanie Butler, Mike Mays, Anthony Pyzdrowski, Laura Pyzdrowski
,
, College Algebra Study Guide and Interactive Labs
• This study guide belongs to _________________________________.
• If found, please return to ___________________________________.
• My instructor’s name is ____________________________________.
• My instructor’s office is ____________________________________.
• My instructor’s office hours are ______________________________.
• My instructor’s e-mail address is _____________________________.
• My instructor’s office phone number is ________________________.
• My assigned seat is _______________________________________.
• My lab partners’ names are _________________________________.
• Contact information for lab partners: __________________________
__________________________________________________________________
, College Algebra Lecture Guide and Interactive Labs
Table of Contents
Content Page Numbers
LECTURE GUIDES
UNIT 1: REVIEW AND SOLVING EQUATIONS 1 - 51
Chapter 1: Review 2
1.1 Number Systems and Sets of Numbers 3
1.2 Integer and Rational Exponents 7
1.3 Polynomial Expressions 13
1.4 Rational Expressions 16
Chapter 2: Introduction to Graphing and Solving Equations 18
2.1 Graphing Basics 19
2.2 Distance and Midpoint 23
2.3 Solving Equations 26
Chapter 3: Quadratic Functions Algebraically in the Real 33
Number System
3.1 Solving Quadratic Equations Algebraically 34
3.2 Applications with Quadratic Equations 39
Chapter 4: Solving Special Equations 43
4.1 Radical Equations 44
4.2 Distance on the Number Line 46
4.3 Absolute Value Equations 48
4.4 Solving Equations that are Quadratic in Form 50
UNIT 2: Inequalities, Lines and Circles, Introduction to 52 - 125
Functions
Chapter 5: Solving Inequalities 53
5.1 Interval Notation Review 54
5.2 Solving Inequalities 56
5.3 Solving Inequalities with Absolute Value 62
Chapter 6: Intercepts and Symmetry 66
6.1 Intercepts 67
6.2 Symmetry 71
Chapter 7: Lines and Circles 77
7.1 Basics of Lines 78
7.2 Parallel and Perpendicular Lines 83
7.3 Circles 86
Chapter 8: Functions 89
8.1 Definition of Function 90
8.2 Domain and Range 94
8.3 Operations with Functions 98
8.4 Reading Graphs of Functions 100
Chapter 9: Graphs of Functions 103
9.1 Properties of Graphs of Functions 104
9.2 Average Rate of Change 107
Melanie Butler, Mike Mays, Anthony Pyzdrowski, Laura Pyzdrowski
,
, College Algebra Study Guide and Interactive Labs
• This study guide belongs to _________________________________.
• If found, please return to ___________________________________.
• My instructor’s name is ____________________________________.
• My instructor’s office is ____________________________________.
• My instructor’s office hours are ______________________________.
• My instructor’s e-mail address is _____________________________.
• My instructor’s office phone number is ________________________.
• My assigned seat is _______________________________________.
• My lab partners’ names are _________________________________.
• Contact information for lab partners: __________________________
__________________________________________________________________
, College Algebra Lecture Guide and Interactive Labs
Table of Contents
Content Page Numbers
LECTURE GUIDES
UNIT 1: REVIEW AND SOLVING EQUATIONS 1 - 51
Chapter 1: Review 2
1.1 Number Systems and Sets of Numbers 3
1.2 Integer and Rational Exponents 7
1.3 Polynomial Expressions 13
1.4 Rational Expressions 16
Chapter 2: Introduction to Graphing and Solving Equations 18
2.1 Graphing Basics 19
2.2 Distance and Midpoint 23
2.3 Solving Equations 26
Chapter 3: Quadratic Functions Algebraically in the Real 33
Number System
3.1 Solving Quadratic Equations Algebraically 34
3.2 Applications with Quadratic Equations 39
Chapter 4: Solving Special Equations 43
4.1 Radical Equations 44
4.2 Distance on the Number Line 46
4.3 Absolute Value Equations 48
4.4 Solving Equations that are Quadratic in Form 50
UNIT 2: Inequalities, Lines and Circles, Introduction to 52 - 125
Functions
Chapter 5: Solving Inequalities 53
5.1 Interval Notation Review 54
5.2 Solving Inequalities 56
5.3 Solving Inequalities with Absolute Value 62
Chapter 6: Intercepts and Symmetry 66
6.1 Intercepts 67
6.2 Symmetry 71
Chapter 7: Lines and Circles 77
7.1 Basics of Lines 78
7.2 Parallel and Perpendicular Lines 83
7.3 Circles 86
Chapter 8: Functions 89
8.1 Definition of Function 90
8.2 Domain and Range 94
8.3 Operations with Functions 98
8.4 Reading Graphs of Functions 100
Chapter 9: Graphs of Functions 103
9.1 Properties of Graphs of Functions 104
9.2 Average Rate of Change 107
