Modules
Algebra1 – Getting Ready for Algebra
A1.1 – Defining Sets and Real Numbers
- Elements of a Set
- Subsets
- Disjoint of Two Sets
- Empty Set
- Union of Sets
- Natural Numbers, Whole Number, Integers
- Rational Numbers
- Irrational Numbers
- Number Line
- Conclusion
A1.2 – Simplifying Expressions with Integers
- Adding Integers
- Subtracting Integers
- Multiplying Integers
- Dividing Integers
- Conclusion
A1.3 – Simplifying Expressions with Rational Numbers
- Operations with Fractions
- Multiplying Fractions
- LCD
- Adding Fractions
- Subtracting Fractions
- Dividing Fractions
- Adding Decimals
- Subtracting Decimals
- Multiplying Decimals
- Dividing Decimals
- Conclusion
A1.4 – Simplifying Expressions with Exponents and Roots
- Exponential Expressions
- Zero Exponent
- Positive Bases
- Negative Bases to Even Powers
- Negative Bases to Odd Powers
- Square Roots and Cube Roots
- Conclusion
A1.5 – Applying the Order of Operations
- Order of Operations without Grouping Symbols or Exponents
- Order of Operation without Grouping Symbols
- Order of Operations Using All Steps
- Order of Operations with Two Levels of Nested Groups Symbols
- Conclusion
Algebra2 – Writing and Simplifying Algebraic Expressions
A2.1 – Using the Language of Algebra
- Variable
- Algebraic Expression
- Term
- Monomials
- Coefficients
- Polynomials
- Special Polynomial
- Degree of a Monomial
- Degree of a Polynomial
- Conclusion
A2.2 – Translating Word Phrases into Algebraic Expressions
- Expressions with One Operation
- Exponents
- More than One Operation
- Conclusion
A2.3 – Identifying Algebraic Properties
- Commutative Property of Addition
- Associative Property of Addition
- Commutative Property of Multiplication
- Associative Property of Multiplication
- Identity Property of Addition
- Zero Property of Multiplication
- Identity Property of Multiplication
- Multiplicative Inverse
- Additive Inverse
- Distributive Property
- Conclusion
- Term and Coefficient
- Adding Polynomials
- Subtracting Polynomials
- Conclusion
- Algebraic Expression
- Baseball Application Problem
- Evaluating Exponential Expressions
- Evaluating Expressions with Roots
- Evaluating Formulas