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Course Resources
DSPM 0800 - Elementary Algebra
Worksheets
These worksheets correspond with certain podcast videos below.
Podcasts
Resource List by Course Content
The resources listed on this page are meant only as general instruction materials. Students are expected to contact their instructors regarding the specific requirements for their classes.
*All video resources below link to Khan Academy unless otherwise noted
Chapter 8 – Real Number System and Introduction to Algebra
8.1 Symbols and Sets of Numbers
- Variables Expressions and Equations
- Variables and Expressions 1
- Evaluating Expressions with Two Variables
- Absolute Value and Number Lines
- Absolute Value 1
- Absolute Value of Integers
- Comparing Absolute Values
- Number Sets
- Number Sets 1
- Number Sets 2
- Number Sets 3
- Negative Numbers Introduction
- Negative Numbers Introduction
- Ordering Negative Numbers
- Points on a number line
8.2 Exponents, Order of Operations, and Variable Expressions
8.3 Adding Real Numbers
-
Adding Integers
Beth Dixon WSCC Podcast - Adding Negative Numbers
- Adding integers with different signs
- Adding Whole Numbers and Applications 1
- Adding Real Numbers Application
- Adding fractions with different signs
8.4 Subtracting Real Numbers
-
Subtracting Integers
Beth Dixon WSCC Podcast - Adding/Subtracting negative numbers
8.5 Multiplying and Dividing Real Numbers
8.6 Properties of Real Numbers
- Distributive Property
Beth Dixon WSCC Podcast - Commutative Law of Addition
- Commutative Law of Multiplication
- Associative Law of Addition
- Associative Law of Multiplication
- Commutative Property for Addition
- The Distributive Property
- The Distributive Property 2
- Distributive Property Example 1
- Identity Property of 1
- Identity property of 1 (second example)
- Identity property of 0
- Inverse Property of Addition
- Inverse Property of Multiplication
8.7 Simplifying Expressions
Chapter 9 – Equations, Inequalities, and Problem Solving
9.1 The Addition Property of Equality
9.2 The Multiplication Property of Equality
- Simple Equations: Introduction to basic algebraic equations of the form Ax=B
- Solving One-Step Equations 2
- Algebra: Linear Equations 1
- Algebra: Linear Equations 2 : solving equations of the form AX+B=C
- Equations 2 : slightly more complicated equations
- Solving Equations 1
-
Two Step Equations
Beth Dixon WSCC Podcast
9.3 Further Solving Linear Equations
- Two-Step Equations
- Solving Equations 2
- Equations 3
- Equations with Variables on Both Sides
- Multi-Step Equations
- Multi-step equations 1
- Multi-step equations 2
- Solving Equations with the Distributive Property
- Solving equations with the distributive property 2
- Algebra: Linear Equations 3
- Equation Special Cases
9.4 A Further Introduction to Problem Solving
- Sum of Consecutive Odd Integers
- Integer sums: Adding sums of consecutive integers
- Algebraic Word Problem
- Averages: Introduction to averages and algebra problems involving averages.
- Age word problems 1
- Age word problems 2
- Age word problems 3
- Patterns and Equations (a video on general word problems does include some for systems of equations)
9.5 Formulas and Problem Solving
- Evaluate a formula using substitution
- Example of Solving for a Variable
- Solving for a Variable
- Solving for a Variable 2
- Rearrange formulas to isolate specific variables
- Basic Rate Problem -- Using D=rt
- Application problems with equation in one variable -- Perimeter
- Word Problem Solving 3 -- for 9.5 and 9.6
- Applying the Metric System
9.6 Percent and Mixture Problem Solving
9.7 Linear Inequalities and Problem Solving
- Interpreting Inequalities (concept no example)
- One-Step Inequalities
- One-Step Inequalities 2
- Inequalities Using Addition and Subtraction
- Inequalities Using Multiplication and Division
- Inequalities on a number line -- Kahn Academy
- Multi-Step Inequalities
- Equations and Inequalities
- Solving Inequalities
- Writing and using inequalities 2
- Multi-Step Inequalities 2
- Inequalities -- word problems
A.3 Absolute Value Equations and Inequalities
-
Absolute Value Equations
*do not recommend the graphing absolute value that starts at 5:58 - Absolute Value Equations Example 1
- Absolute Value Equation Example 2
- Absolute Value Inequalities
- Absolute value inequalities Example 1
- Absolute Value Inequalities Example 2
- Absolute value inequalities example 3
- Absolute Value Equations.avi
- Absolute Inequalities 2
We omit the inequalities from our course content.
Chapter 10 – Graphing Equations and Inequalities
10.1 The Rectangular Coordinate System
- Quadrants of Coordinate Plane
- The Coordinate Plane
- Exploring linear relationships
- Plot ordered pairs
- Ordered pair solutions of equations
10.2 Graphing Linear Equations
- Plotting (x,y) relationships
- Application problem with graph
- Interpreting Linear Graphs -- Kahn Academy
- Algebra: graphing lines 1: Graphing linear equations
- Graphs of Linear Equations
10.3 Intercepts
10.4 Slope and Rate of Change
- Patterns in Sequences 1
- Slope of a line
- Slope Example
- Slope and Rate of Change
- Algebra: Slope: Figuring out the slope of a line
- Graphical Slope of a Line
- Slope of a Line 2
- Slope of a Line 3
- Algebra: Slope and Y-intercept intuition
10.5 Equations of Lines
- Slope and Y-intercept Intuition
- Algebra: Slope 2: Second part of determining the slope of a line
- Algebra: Slope 3 : Part 3 of slope (continuation of part 2)
- Graphing a line in slope intercept form
- Algebra: Equation of a line: Determining the equation of a line
- CA Algebra I: Slope and Y-intercept
- Graphs Using Slope-Intercept Form
- Linear Equations in Slope Intercept Form
- Linear Equations in Point Slope Form
- Equation of a line 1
- Equation of a line 2
- Equation of a line 3
- Converting to slope-intercept form
- Point-slope and standard form
- Word Problem Solving 4
A.5 Writing Equations of Parallel and Perpendicular Lines
- Parallel Lines
- Parallel Lines 2
- Parallel lines 3
- Perpendicular Lines
- Perpendicular lines 2
- Parallel Line Equation
- Equations of Parallel and Perpendicular Lines
10.6 Introduction to Functions
- Introduction to functions
- Functional Relationships 1
- Testing if a relationship is a function
- Basic Linear Function
- Recognizing Linear Functions (1.4/1.5)
- Graphing a Basic Function
- Relations and Functions
- Graphical Relations and Functions
- Domain and Range of a Function
- Domain and Range 1
- Domain and Range 2
- Domain and Range of a Relation
- Domain and Range of a Function Given a Formula
- Linear Function Graphs
Chapter 11 – Systems of Equations
11.1 Solving Systems of Linear Equations by Graphing
- Testing a solution for a system of equations
- Solving Linear Systems by Graphing
- Solving systems by graphing
- Solving systems by graphing 2
- Solving systems by graphing 3
- Graphing Systems of Equations
- Consistent and Inconsistent Systems
- Independent and Dependent Systems
11.2 Solving Systems of Linear Equations by Substitution
- Solving systems by substitution 1
- Solving systems by substitution 2
- Solving systems by substitution 3
- The Substitution Method
- Substitution Method 2
- Solving Linear Systems by Substitution
11.3 Solving Systems of Linear Equations by Addition
- Systems of equations
- Solving systems by elimination 2
- Solving systems by elimination 3
- Solving Systems of Equations by Elimination
- Solving Systems of Equations by Multiplication
- Addition Elimination Method 1
- Addition Elimination Method 2
- Addition Elimination Method 3
- Special Types of Linear Systems
11.4 Systems of Linear Equations and Problem Solving
- Problem Solving Word Problems 2
- Solving systems by elimination
- Systems and rate problems
- Systems and rate problems 2
- Systems and rate problems 3
- Mixture problems 1
- Mixture problems 2
- Mixture problems 3
- Graphical Systems Application Problem
- Substitution Method 3
- Addition Elimination Method 4
10.7 Graphing Linear Inequalities in Two Variables
- Solving and graphing linear inequalities in two variables 1
- Graphing linear inequalities in two variables 2
- Graphing Linear Inequalities in Two Variables Example 2
-
Graphing Linear Inequalities in Two Variables Example 2
(same problem as 2, differentexplanation) - Graphing linear inequalities in two variables 3
- CA Algebra I: Graphing Inequalities
- Graphing Inequalities
- Graphing Inequalities 1
- Graphing Inequalities 2
10.8 Direct and Inverse Variation (This section is omitted from our course content)
- Direct Variation 1
- Proportionality Constant for Direct Variation
- Direct Variation Application
- Direct Variation Models
A.8 System of Linear Inequalities
- Graphing systems of inequalities
- Graphing Systems of Inequalities
- Graphing systems of inequalities 2
- Graphing systems of inequalities 3 (with calculator)
- CA Algebra I: Systems of Inequalities
- Graphical System of Inequalities
- Testing Solutions for a System of Inequalities
- System of Inequalities Application
