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Front Matter
Acknowledgements
To All
I
Preparation for STEM
1
Topics in Graphing
1.1
Review of Graphing
1.1.1
Cartesian Coordinates
1.1.2
Graphing Equations by Plotting Points
1.1.3
Graphing Lines Using Intercepts
1.1.4
Exercises
1.2
Key Features of Quadratic Graphs
1.2.1
Properties of Quadratic Graphs
1.2.2
Finding the Vertex and Axis of Symmetry Algebraically
1.2.3
Graphing Quadratic Equations by Making a Table
1.2.4
Applications of Quadratic Graphs Involving the Vertex.
1.2.5
Reading Questions
1.2.6
Exercises
1.3
Graphing Quadratic Expressions
1.3.1
Finding the Vertical and Horizontal Intercepts Algebraically
1.3.2
Graphing Quadratic Equations Using Their Key Features
1.3.3
Applications of Quadratic Equations
1.3.4
Distinguishing Quadratic Equations from Other Equations
1.3.5
Reading Questions
1.3.6
Exercises
1.4
Graphically Solving Equations and Inequalities
1.4.1
Solving Equations Using a Graph
1.4.2
Solving Inequalities Using a Graph
1.4.3
Reading Questions
1.4.4
Exercises
1.5
Topics in Graphing Chapter Review
1.5.1
Review of Graphing
1.5.2
Key Features of Quadratic Graphs
1.5.3
Graphing Quadratic Equations
1.5.4
Graphically Solving Equations and Inequalities
1.5.5
Exercises
Appendices
A
Basic Math Review
A.1
Arithmetic with Negative Numbers
A.1.1
Signed Numbers
A.1.2
Adding
A.1.3
Subtracting
A.1.4
Multiplying
A.1.5
Powers
A.1.6
Summary
A.1.7
Exercises
A.2
Fractions and Fraction Arithmetic
A.2.1
Visualizing Fractions
A.2.2
Equivalent Fractions
A.2.3
Multiplying with Fractions
A.2.4
Division with Fractions
A.2.5
Adding and Subtracting Fractions
A.2.6
Mixed Numbers and Improper Fractions
A.2.7
Exercises
A.3
Absolute Value and Square Root
A.3.1
Introduction to Absolute Value
A.3.2
Square Root Facts
A.3.3
Calculating Square Roots with a Calculator
A.3.4
Square Roots of Fractions
A.3.5
Square Root of Negative Numbers
A.3.6
Exercises
A.4
Percentages
A.4.1
Converting Percents, Decimals, and English
A.4.2
Setting up and Solving Percent Equations
A.4.3
Exercises
A.5
Order of Operations
A.5.1
Grouping Symbols
A.5.2
Order of Operations
A.5.3
Absolute Value and Implied Grouping
A.5.4
Understanding
(
−
a
)
m
versus
−
a
m
A.5.5
Exercises
A.6
Set Notation and Types of Numbers
A.6.1
Set Notation
A.6.2
Different Number Sets
A.6.3
Converting Repeating Decimals to Fractions
A.6.4
Exercises
B
Unit Conversions
C
PCC Course Content and Outcome Guides
C.1
MTH 60
C.2
MTH 65
D
Answers to Exercises
Index
Appendix
A
Basic Math Review
This appendix is intended to review topics from basic math. These topics are covered differently than they would be covered for a student seeing them for the first time.
🔗
A.1
Arithmetic with Negative Numbers
A.2
Fractions and Fraction Arithmetic
A.3
Absolute Value and Square Root
A.4
Percentages
A.5
Order of Operations
A.6
Set Notation and Types of Numbers
🔗