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Appendix A – Further Algebraic Topics
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Division of
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Mathematics
Course Resources
DSPM 0850 - Intermediate Algebra
Worksheets
These worksheets correspond with certain podcast videos below.
Factoring by Grouping Factoring Part 2
Factoring Trinomials Factoring Part 4
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 12 – Exponents and Polynomials
12.1 Exponents
- Exponent Rules 1
- Exponent Rules 2
- Level 1 Exponents
- Exponent Rules Part 1 : Introduction to exponent rules
- Exponent Rules Part 2
- Exponent Properties 1
- Exponent Properties 2
- Exponent Properties 3
- Exponent Properties 5
- Exponent Properties 6
- Exponent Properties Involving Products
- Simplifying Expressions with Exponents 2
- Simplifying Expressions with Exponents 3
- Dividing Monomials
- Multiplying and Dividing Monomials 1
- Multiplying and Dividing Monomials 3
12.2 Negative Exponents and Scientific Notation
- Level 2 Exponents: negative exponents
- Negative Exponent Intuition: Intuition on why a^-b = 1/(a^b) (and why a^0 =1)
- Exponent Properties 4
- Exponent Properties 7
- Negative and Positive Exponents
- Exponent Properties Involving Quotients
- Simplifying Expressions with Exponents
- Evaluating exponential expressions 3
- Scientific notation 1
- Scientific notation 2
- Scientific notation 3
-
Scientific Notation I
(same number as Scientific notation 1 but different explanation) - Scientific Notation Example 2
-
Scientific Notation 3 (new)
(same number as Scientific notation 2 but different explanation) - Scientific Notation Examples : More scientific notation examples
- Multiplying in Scientific Notation
12.3 Introduction to Polynomials
- Terms coefficients and exponents in a polynomial
- Simply a polynomial
- Opposite of a Polynomial
- Evaluating a polynomial at a given value
- Polynomials 2
- Polynomials1
12.4 Adding and Subtracting Polynomials
- Adding Polynomials
- Adding polynomials with multiple variables
- Subtracting Polynomials
- Subtracting polynomials with multiple variables
- Adding and Subtracting Polynomials 1
- Adding and Subtracting Polynomials 2
- Adding and Subtracting Polynomials 3
- Addition and Subtraction of Polynomials
12.5 Multiplying Polynomials
- Multiplying Monomials
- Level 1 multiplying expressions
- Multiplying Monomials by Polynomials
- Multiplying Polynomials
- Multiplying Polynomials 3
- Multiplication of Polynomials
- More multiplying polynomials
12.6 Special Products
- Multiplying Binomials
- Square a Binomial
- Special Products of Binomials
- Multiplying Polynomials1
- Multiplying Polynomials 1
- Multiplying Polynomials 2
- Special Polynomials Products 1
- Special Products of Polynomials 1
- Special Products of Polynomials 2
- Special Products of Polynomials 3
12.7 Dividing Polynomials (This section is omitted from our course content)
Chapter 13 – Factoring Polynomials
13.1 The Greatest Common Factor
-
Greatest Common Factors
Beth Dixon WSCC Podcast -
Factoring by Grouping - Factoring Part 2
Beth Dixon WSCC Podcast - Monomial Greatest Common Factor
- Factor polynomials using the GCF
- Factoring and the Distributive Property
- Factoring and the Distributive Property 2
- Factoring and the Distributive Property 3
13.2 Factoring Trinomials of the Form x^2+bx+c
- Factoring x^2 + bx + c -- Factoring part 4
Beth Dixon WSCC Podcast - Factoring Quadratic Expressions
- Factoring trinomials with a leading 1 coefficient
- Factoring trinomials with a common factor
13.3 Factoring Trinomials of the form ax^2+bx+c
- Factoring Trinomials by Grouping 4
- Factoring Trinomials by Grouping 5
- Factoring Trinomials by Grouping 6
- Factor by Grouping and Factoring Completely
13.4 Factoring Trinomials of the form by Grouping ax^2+bx+c
- Factoring ax^2 + bx + c -- Factoring part 3a
Beth Dixon WSCC Podcast -
Factoring ax^2 + bx + c -- Factoring part 3b
Beth Dixon WSCC Podcast - Factoring Trinomials by Grouping 1
- Factoring Trinomials by Grouping 2
- Factoring Trinomials by Grouping 3
- Factoring trinomials with a non-1 leading coefficient by grouping
(Teacher will choose either section 13.3 or 13.4 method of factoring.)
13.5 Factoring Perfect Square Trinomials and the Difference of Two Squares
- Factoring Special Products 1
- Factoring Special Products 2
- Factoring Special Products 3
- Factoring perfect square trinomials
- Factoring difference of squares
Putting it all together:
13.6 Solving Quadratic Equations by Factoring
- Factoring Special Products
- Solving a quadratic by factoring
- Solving Quadratic Equations by Factoring
- Solving Quadratic Equations by Factoring 2
- Applications Problem Factoring Quadratics
13.7 Quadratic Equations and Problem Solving
Chapter 16 – Quadratic Equations
16.1 Solving Quadratic Equations by the Square Root Property
16.2 Solving Quadratic Equations by the Completing the Square
- Completing the square
- Completing the Square 1
- Completing the Square 3
- Completing the Square 2
- Completing the Square 4
- Completing the Square to Solve Quadratic Equations
- Solving Quadratic Equations by Completing the Square
- Completing Perfect Square Trinomials
16.3 Solving Quadratic Equations by the Quadratic Formula
- Quadratic Equation part 2
- Quadratic Formula 1
- Quadratic Formula 2
- Quadratic Formula 3
- Quadratic Equations in Standard Form
- Applying the Quadratic Formula
- Application Problem with Quadratic Formula
- Discriminant for Types of Solutions for a Quadratic
- Discriminant of Quadratic Equations
- Applying Quadratic Functions 1
- Applying Quadratic Functions 2
- Applying Quadratic Functions 3
16.4 Graphing Quadratic Equations in Two Variables
- Quadratic Functions 1
- Graphing a Quadratic Function
- Introduction to the quadratic equation
- Quadratic Functions 2
- Quadratic Functions 3
- Graphing a Quadratic Function
16.5 Interval Notation, Finding Domains and Ranges from Graphs, and Graphing Piecewise-Defined Functions
Chapter 14 – Rational Expressions
14.1 Simplifying Rational Expressions
14.2 Multiplying and Dividing Rational Expressions
- Multiplying and Dividing Rational Expressions 1
- Multiplying and Dividing Rational Expressions 2
- Multiplying and Dividing Rational Expressions 3
- Multiplying and Simplifying Rational Expressions
14.3 Adding and Subtracting Rational Expressions with the Same Denominator and Least Common Denominator
14.4 Adding and Subtracting Rational Expressions with Different Denominators
14.5 Solving Equations Containing Rational Expressions
- Algebra: Linear Equations 4:Solving linear equations with variable expressions in the denominator
- Rational Equations
- Solving Rational Equations 1
- Solving Rational Equations 2
- Solving Rational Equations 3
14.6 Rational Equations and Problem Solving (This section is omitted from our course content)
- Ratio problem with basic algebra (new HD)
- More advanced ratio problem--with Algebra
- Alternate Solution to Ratio Problem (HD Version)
- Advanced ratio problems
- Applying Rational Equations 1
- Applying Rational Equations 2
- Applying Rational Equations 3
- Extraneous Solutions to Rational Equations
14.7 Simplifying Complex Fractions (This section is omitted from our course content)
Sup 1. Unit Analysis
- Unit conversion: Metric unit conversion
- Conversion between metric units
- Converting within the metric system
- Converting pounds to ounces
- Converting Gallons to quarts pints and cups
- Converting Fahrenheit to Celsius
- Comparing Celsius and Fahrenheit temperature scales
- Converting Yards into Inches
- Performing arithmetic calculations on units of volume
- Application problems involving units of weight
- Solving application problems involving units of volume
- Unit Conversion Example: Drug Dosage
Chapter 15 – Roots and Radicals
15.1 Introduction to Radicals
15.2 Simplifying Radicals
15.3 Adding and Subtracting Radicals
15.4 Multiplying and Dividing Radicals
15.5 Solving Equations Containing Radicals
15.6 Radical Equations and Problem Solving
6.6 Square Roots and the Pythagorean Theorem
- Pythagorean Theorem 1
- Pythagorean Theorem 2
- Pythagorean Theorem 3
- Introduction to the Pythagorean Theorem
- The Pythagorean Theorem
- Pythagorean Theorem II
A.4 The Distance and Midpoint Formulas
A.7 Rational Exponents
- Zero, Negative, and Fractional Exponents
- Level 3 exponents : fractional exponents
- Rational Exponents and Exponent Laws
- More Rational Exponents and Exponent Laws
- Fractional Exponent Expressions 1
- Radical Equivalent to Rational Exponents 2
Sup 2 Exponential and Log supplement
Appendix A – Further Algebraic Topics
These are the appendix topics omitted from our content:
A.1 Factoring Sums and Differences of Cubes
A.2 Sets and Compound Inequalities
- Compound Inequalities -- and
- Compound Inequalities 2
- Compound Inequalities -- (2 inequalities)
- Compound Inequalities 3
- Compound Inequalities 4
