Semester I
Chapter 2: Operations with Negative Numbers
- calculations with negative and signed numbers
- commuting and associating
- equations with two transformations
Chapter 3: Distributing Axioms and Other Properties
- distribution multiplication over addition and subtraction
- like terms and common factors
- more distributive properties
- axioms for adding and multiplying
- properties of equality
Chapter 4: Harder Equations
- equations with like terms and distributing
- equations with variable in both members
- equations that involve decimals
- literal equations and formulas
Chapter 13: Inequalities
- number-line graphs
- solving inequalities
- inequalities involving absolute values
Chapter 5: Some Operations with Polynomials and Radicals
- polynomials
- product of two binomials
- factoring quadratic trinomials
Semester II
Chapter 5: Some Operations with Polynomials and Radicals
- Squaring a binomial
- factoring trinomial squares
- radical and irrational numbers
Chapter 6: Quadratic Equations
- Evaluating radical expressions
- Equations with absolute values
- Equations with squares and trinomial squares
- completing the square
- the Quadratic Formula
- quadratic word problems
- the Discriminant
Chapter 7: Expressions and Equations Containing Two Variables
- Evaluating 2-variable expressions
- the Cartesian Coordinate System
- Graphs of equations with two variables
- intercepts and slopes
- graphing
- solving systems of equations by substitution and combination
- word problems with two variables
Chapter 9: Properties of Exponents
- Prime number and prime factors
- Exponentiation, products, and powers
- Negative and Zero Exponents
- Powers of 10 and Scientific Notation
Chapter 10: More Operations with Polynomials
- Greatest common factors
- factoring polynomials that have common factors
- common binomial factors
- factoring by grouping
- solving quadratic equations by factoring
Chapter 11: Rational Algebraic Expressions
- simplifying rational expressions
- multiplying and dividing rational expressions
- least common multiples
- operations with rational expressions
- long division of polynomials
- extraneous solutions
Chapter 12: Radical Algebraic Expressions (as time allows)
- operations with radicals
- binomials with radicals
- square roots
- radical equations
- higher-order radicals
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