Modules
Algebra11 – Solving Linear Equations and Inequalities of Two Variables
A11.1 – Applying Rules of Exponents
- Multiplying Powers with Like Bases
- Dividing Powers with Like Bases
- Power-of-a-Power Rule
- Power-of-a-Product
- Power-of-a-Quotient
- Conclusion
A11.2 – Using Scientific Notation
- Understanding Scientific Notation
- Converting a Number from Scientific Notation to Standard Form
- Converting a Number from Standard Form to Scientific Notation
- Calculating Using Scientific
- Conclusion
A11.3 – Adding and Subtracting Polynomials
- Understanding Polynomials
- Subtracting Polynomials
- Conclusion
A11.4 – Multiplying Monomials and Binomials
- Multiplying Monomials
- Multiplying a Binomial by a Monomial
- Multiplying a Binomial by a Binomial
- Conclusion
A11.5 – Multiplying Polynomials
- Special Products
- Multiplying General Polynomials
- Conclusion
A11.6 – Dividing Polynomials by Monomials
- Dividing Monomials by Monomials
- Dividing Polynomials by Monomials
- Conclusion
A11.7 – Dividing Polynomials Using Long Division
- Dividing Polynomials Using Long Division
- Conclusion
Algebra12 – Simplifying Algebraic Expressions by Factoring Polynomials
A12.1 – Factoring by Removing the Greatest Common Factor
- Introducing Factoring
- Greatest Common Monomial Factor
- Factoring Polynomials Containing More Than One Variable
- Conclusion
- Common Binomial Factors
- Factoring by Grouping
- Conclusion
A12.3 – Factoring the Difference of Two Squares
- How to Factor the Difference of Two Squares
- Recognizing Perfect Squares
- Factoring the Differences of Two Squares
- Factoring the Differences of Two Squares with a Leading Coefficient Than One
- Using the Difference of Square Rule Twice
- Conclusion
A12.4 – Factoring x2 + b x + c
- Factoring Trinomials of the Form x2 + bx + c, b>0, c>0
- Factoring x2 + bx + c, b<0 and/or c<0
- Conclusion
A12.5 – Factoring ax2 + b x + c
- Factoring ax2 + bx + c; Guess and Checkk
- Factoring ax2 + bx + c; Factoring by Grouping
- Conclusion
A12.6 – Factoring Using Several Methods
- Review of Factoring Methods
- Factoring Using Several Methods
- Conclusion
A12.7 – Dividing Polynomials Using Factoring
- Dividing Polynomial by Factoring: Factoring Numerator Only
- Dividing Polynomial by Using Factoring: Factoring Numerator and Denominator
- Conclusion
Algebra13 – Solving Quadratic Equations of One Variable
A13.1 – Defining Quadratic Equations of One Variable
- Identifying Quadratic Equations
- Conclusion
A13.2 – Solving Quadratic Equations by Evaluating Square Roots
- Solving Equations of the Form ax2=k
- Solving Equations of the Form ax2-b=k
- Solving Quadratic Equations of the Form a(x+b)^2=k
- Solving Quadratic Equations of the Form a(x=b)^2+c=k
- Conclusion
A13.3 – Solving Quadratic Equations by Factoring
- Solving Quadratic Equations by Factoring
- Conclusion
A13.4 – Solving Quadratic Equations by Completing the Square
- Completing the Square and Factoring Perfect Square Trinomials
- Solving Quadratic Equations by Completing the Square
- Conclusion
A13.5 – Solving Quadratic Equations by the Quadratic Formula
- The Quadratic Formula
- Using the Quadratic Formula
- Using the Discriminant
- Conclusion
A13.6 – Solving Problems Using Quadratic Equations of One Variable
- Rectangular Area Applications
- Vertical Motion Applications
- Conclusion
Algebra14 – Graphing Quadratic Relations
A14.1 – Graphing Simple Quadratic Relations
- Defining Parabola
- Graphing Relations of the Form y=ax2+bx+c
- Conclusion
A14.2 – Graphing Quadratic Relations by Analysis
- Graphing y=ax2
- Review of Graphics y=ax2
- Graphics Equations of the Form y=x2+k
- Graphing Equations of the Form y+a(x-h)^2+k
- Graphing Equations of the Form y=(x-h)^2
- Conclusion
A14.3 – Solving Problems Using Quadratic Graphs
- Vertical Motion Application
- Sports Application
- Conclusion