Algebra 101
Table of Contents
Algebra 101
"Building a Strong Foundation in Mathematical Thinking"
Chapter 1: Introduction to Algebra
○ What is Algebra?
○ Understanding Variables, Constants, and Expressions
○ The Order of Operations (PEMDAS)
→ Chapter Quiz: Algebra Basics
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Chapter 2: Solving Linear Equations and Inequalities
○ One-Step and Multi-Step Equations
○ Inequalities and Graphing Solutions
○ Real-World Applications
→ Chapter Quiz: Linear Equations and Inequalities
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Chapter 3: Working with Polynomials
○ Terms, Coefficients, and Exponents
○ Adding, Subtracting, and Multiplying Polynomials
○ Factoring Techniques
→ Chapter Quiz: Polynomial Operations
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Chapter 4: Functions and Graphs
○ Understanding Functions and Relations
○ Plotting Linear Functions
○ Slope, Intercept, and Rate of Change
→ Chapter Quiz: Graphing and Functions
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Chapter 5: Systems of Equations
○ Solving by Substitution and Elimination
○ Graphical Interpretation
○ Applications in Everyday Problems
→ Chapter Quiz: Systems of Equations
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Chapter 6: Exponents and Radicals
○ Laws of Exponents
○ Simplifying Radical Expressions
○ Exponential Growth and Decay
→ Chapter Quiz: Exponents and Radicals
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Chapter 7: Quadratic Equations
○ Standard Form and Factoring Methods
○ Completing the Square and the Quadratic Formula
○ Graphing Parabolas
→ Chapter Quiz: Quadratic Equations
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Chapter 8: Data, Formulas, and Problem Solving
○ Translating Word Problems into Algebra
○ Using Formulas and Ratios
○ Interpreting and Applying Data
→ Final Quiz: Comprehensive Course Assessment
References:
Lial, M. L., Hornsby, J., & McGinnis, T. (2020). Introductory Algebra (13th ed.). Pearson.
Khan Academy. (2024). Algebra 1 Curriculum.
McGraw Hill. (2021). Algebra Essentials Workbook.
Training Certificate Notice
This course is for personal and professional development only and does not provide state or federal certification. After each section, you’ll take a short quiz to reinforce your learning. To complete the course, you’ll take a Final Exam, with a score of 70% or higher required to demonstrate mastery. Upon completion, you’ll receive a Certificate of Training recognizing your hard work, dedication, and commitment to growth.