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MATH 108: Intermediate Algebra

Continues the algebra sequence with quadratic equations, rational and radical expressions, complex numbers, functions and their graphs, and an introduction to exponential and logarithmic functions. Prerequisite: MATH 106 with a "C" or higher, or placement.

Current Sections Fall 2026

108-03 In Person MWF 2:00 – 2:50 PM · SH 203 · Syllabus & materials

General Information

Office Location and Office Hours: Science Hall 202A — MW 11:00 AM – 1:00 PM, F 11:00 AM – 12:00 PM.

Lecture Notes by Topic

GoodNotes links — opens in the GoodNotes app or web viewer.

Quizzes, module tests, and the final exam are listed for pacing — they don't link anywhere.

Module 1
Notes 1.1 Number Theory: Prime and Composite Numbers ↗ Video Prime Factorization of 700 | Factor Tree Shorts ↗ Video Prime Factorization Practice | Factor Tree Shorts ↗ Notes 1.2 The Integers; Order of Operations ↗ Video The Parentheses Trap: (-6)² vs -6² Shorts ↗ Video Order of Operations Challenge Shorts ↗ Quiz Quiz 1: Lessons 1 & 2, Module 1 Notes 1.3 Rational Numbers ↗ Video Reduce 130/455 to Lowest Terms Shorts ↗ Video The Repeating Decimal Trick: 0.666... as a Fraction Shorts ↗ Notes 1.4 Irrational Numbers ↗ Video Simplifying Square Roots: √48, √75, √17 Shorts ↗ Video The Radical Combining Trap: 3√2 + 5√8 Shorts ↗ Quiz Quiz 2: Lessons 3 & 4, Module 1 Notes 1.5 Real Numbers and Their Properties ↗ Video Classify These Numbers: Natural, Whole, Rational, Irrational Shorts ↗ Video 6-Hour Clock Math: What Is 4 + 3? (Modular Arithmetic) Shorts ↗ Notes 1.6 Exponents and Scientific Notation ↗ Video The National Debt Problem: Scientific Notation in Real Life Shorts ↗ Video Scientific Notation: Big and Small Numbers Made Simple Shorts ↗ Quiz Quiz 3: Lessons 5 & 6, Module 1 Test Test 1 (Module 1)
Module 2
Notes 2.1 Arithmetic and Geometric Sequences ↗ Video Geometric Sequences: First Term and Common Ratio Shorts ↗ Video Arithmetic Sequences: First Term and Common Difference Shorts ↗ Video Find a8 Without Listing Every Term Shorts ↗ Video The Sign-Flipping Sequence: Negative Common Ratio Shorts ↗ Notes 2.2 Algebraic Expressions and Formulas ↗ Video Distribute and Simplify: Two Distributions, One Answer Shorts ↗ Quiz Quiz 4: Lessons 1 & 2, Module 2 Notes 2.3 Linear Equations in One Variable and Proportions ↗ Video Does Every Linear Equation Have One Answer? Shorts ↗ Video Solve and Check a Linear Equation in 4 Steps Shorts ↗ Video Clear the Fractions: Solve x/3 + x/2 = 10 Shorts ↗ Video Reading a Map with Proportions: 1 Inch = 25 Miles Shorts ↗ Video Property Tax Proportions: Find the Tax Shorts ↗ Notes 2.4 Applications of Linear Equations ↗ Video Gym Membership Math: Write and Solve the Equation Shorts ↗ Quiz Quiz 5: Lessons 3 & 4, Module 2 Notes 2.5 Linear Inequalities in One Variable ↗ Video Graphing Inequalities on a Number Line Shorts ↗ Video What Score Do I Need on the Final? Inequality Problem Shorts ↗ Quiz Quiz 6: Lesson 5, Module 2 Test Test 2 (Module 2)
Module 3
Notes 3.1 Quadratic Equations ↗ Video Factor 3x² − 20x + 28 Fast Shorts ↗ Video Solve 2x² + 9x - 5 = 0 by Quadratic Formula Shorts ↗ Video Solve x² − 2x = 35 by Factoring Shorts ↗ Video Application of Quadratic Equation Shorts ↗ Quiz Quiz 7: Lesson 1, Module 3 Notes 3.2 Graphing and Functions ↗ Video Find f(60): Real-Life Function Problem Shorts ↗ Video Is It a Function? Vertical Line Test Shorts ↗ Notes 3.3 Linear Functions and Their Graphs ↗ Video Find the Slope from Two Points Shorts ↗ Video Slope with Real Data: College Freshmen Trend Shorts ↗ Quiz Quiz 8: Lessons 2 & 3, Module 3 Notes 3.4 Systems of Linear Equations in Two Variables ↗ Video A Linear Equation System Has No Solution Shorts ↗ Video Solve a Linear System with the Substitution Shortcut Shorts ↗ Video When Does a Business Start Making Money? Shorts ↗ Notes 3.5 Linear Inequalities in Two Variables ↗ Video Graph 3x − 5y ≥ 15: Which Side Do You Shade? Shorts ↗ Video Special Inequality Graph: Which Way Do You Shade? Shorts ↗ Quiz Quiz 9: Lessons 4 & 5, Module 3 Test Test 3 (Module 3)
Module 4
Notes 4.1 Modeling Data: Exponential, Logarithmic and Quadratic Functions ↗ Video Graph of Exponential Function f(x) = 2^x Shorts ↗ Video Graphs of Logarithmic Functions (the Mirror of Exponentials) Shorts ↗ Video Graphing a Parabola: Vertex and Intercepts Shorts ↗ Notes 4.2 Percent, Sales Tax, and Discounts ↗ Video How Much Tax Are You Really Paying? Shorts ↗ Video This TV Statistic Was Wrong — Can You Spot It? Shorts ↗ Video 15% Off Sounds Nice… But How Much Do You Save? Shorts ↗ Quiz Quiz 10: Lessons 1 & 2, Module 4 Notes 4.3 Simple Interest ↗ Video Savings Goal? Work Backward with Interest Shorts ↗ Video What Interest Rate Are You Really Paying? Shorts ↗ Notes 4.4 Compound Interest ↗ Video 4% Monthly Interest… What's the Real Annual Rate? Shorts ↗ Video Want $20,000 in 5 Years? Work Backward Shorts ↗ Video Higher Interest Rate Isn’t Always the Better Deal Shorts ↗ Quiz Quiz 11: Lessons 3 & 4, Module 4 Exam Final Exam

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