Introductory Algebra Videos and Guided Notes (MATH 082)
Unit 1: Arithmetic with Integers and Rational Numbers
Part 1: Integers
Adding and Subtracting Integers Part 1 of 3 (20:13)
Adding and Subtracting Integers Part 2 of 3 (6:27)
Adding and Subtracting Integers Part 3 of 3 (6:15)
Intro to Adding and Subtracting Signed Numbers (3:43)
Multiplying and Dividing Signed Numbers (23:46)
Why You Can't Divide By Zero (5:39)
Order of Operations for Integers (26:06) Guided Notes for All Part 1 Videos
Part 2: Rational Numbers
Introduction to Rational Numbers (18:29)
Convert mixed number to improper fraction (7:31)
Convert decimal to improper fraction (6:35)
Raising Fractions to a Power (8:06)
Introduction to Fractions (9:58)
Adding and Subtracting Fractions (12:50)
Order of Operations with Rational Numbers (20:22) Guided Notes for All Part 2 Videos
Part 3: Unit Conversions
Unit 2: Simplifying and Evaluating Linear Expressions
Introduction to Algebraic Expressions (11:00)
Defining and Combining Like Terms (22:47)
Simplifying Algebraic Expressions Using Commutative, Associative and Distributive Properties (22:07)
Simplifying Rational Algebraic Expressions Using Algebraic Properties (6:04)
Evaluating Algebraic Expressions (12:03)
Translating English Phrases into Algebraic Expressions (13:21)
Unit 3: Solving Linear Equations, Formulas and Linear Inequalities
Solving Equations with Integer Coefficients
Expressions vs. Equations (12:16)
Solving One-step Equations (14:21)
Solving Two-step equations (14:22)
Solving Equations with Variables on Both Sides (9:20)
Three Common Mistakes in Solving Algebra Problems (10:05)
Multi-Step Equations Part 1 of 3 (14:50)
Multi-Step Equations Part 2 of 3 (14:54)
Multi-Step Equations Part 3 of 3 (9:48)
Solving Equations with Fractions
Solving Equations with Fractions Part 1 of 3 (10:58)
Solving Equations with Fractions Part 2 of 3 (10:19)
Solving Equations with Fractions Part 3 of 3 (11:31)
Solving Formulas
Solving formulas for a specified variable (Level 1) (9:26)
Solving formulas for a specified variable (Level 2) (5:44)
Solving formulas for a specified variable (Level 3) (3:43)
Solving Linear Inequalities
Introduction to Inequalities (8:02)
Expressing Inequalities by Graphing and Using Interval Notation (13:48)
Unit 5: Exponent Rules and Scientific Notation
Product Rule (Positive Exponents Only) (13:10)
Quotient Rule (Positive Exponents Only) (9:41)
Introducing Zero and Negative Exponents (22:10)
Power Rule of Exponents (14:12)
Application of Rules of Exponents (37:08)
Introduction to Scientific Notation (12:36)
Unit 7: Graphing Linear Functions
The Cartesian Coordinate System
Graphing Ordered Pairs That Contain Zero (2:38)
Using Tables to Organize Ordered Pairs (7:56)
Slope, and Slope Intercept Form and Graphing Lines
Graphing Lines Using Tables and Intercepts (16:10)
Determine the slope of a line given its graph Part 1 (7:04)
Determine the slope of a line given its graph Part 2 (5:32)
Calculate the slope of a line given the ordered pairs of two points on the line (10:23)
Distinguishing Between a Point and a Line (6:49)
Graph horizontal and vertical lines given the equation of the line (3:41)
Write the equation of horizontal and vertical lines given the graph of the line (8:12)
Write the equation of a line given its graph (8:08)
Write the equation of a line given information about the line (11:57)
Graph linear equations given in slope-intercept form Part 1 (8:30)
Graphing linear equations given in slope-intercept form Part 2 (4:22)
Graph linear equations in standard form by rewriting them in slope-intercept form (6:58)
Unit 8: Solving (2x2) Systems of Linear Equations
How to Solve a System of Equations by Graphing (21:31)
How to Solve Equations Using Substitution (33:01)
Making Mistakes when Solving Systems of Equations (13:18)
How to Solve Equations Using Elimination Part 1 of 2 (16:57)
How to Solve Equations Using Elimination Part 2 of 2 (23:55)
How to Solve Word Problems with Systems of Linear Equations Part 1 of 2 (18:39)
How to Solve Word Problems with Systems of Linear Equations Part 2 of 2 (27:15)