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Course Description

Algebra is a branch of mathematics in which symbols, usually letters of the alphabet, represent numbers or members of a specified set and are used to represent quantities and to express general relationships that hold for all members of the set.

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Course Syllabus
  • Evaluating Algebraic Expressions
  • Simplifying Algebraic Expressions Combining Like Terms
  • Writing Algebraic Expressions from Word Problems
  • Solving Linear Equations
  • Solving 1 Variable Multi-Step Inequalities & Compound Inequalities
  • Absolute Value Equations & Inequalities
  • Function vs Relation
  • Solving Equations with 2 Absolute Value Functions or More
  • Direct Variation
  • Inverse Variation
  • Joint and Combined Variation
  • Rate of Change Slope & Point Slope Equation of Lines
  • Graphing Lines in Slope-Intercept form y=mx+b
  • Graphing lines using X & Y Intercepts
  • Equations of Lines and Graphing
  • Equations of Parallel and Perpendicular Lines
  • Solving Linear Systems with Substitution and Linear Combination
  • Given a Tangent Line & Circle Find the Point of Tangency
  • Distance Between Point and Line
  • Graphing Linear Inequalities
  • Graphing 1 Variable Inequalities
  • Graphing System of Linear Inequalities
  • Solving 3 Variable Linear Systems Substitution / Gaussian Elimination
  • Graphing Non-Linear Inequalities
  • Determining Domain of Functions
  • Properties of Exponents Multiplication & Power
  • Multiplying Polynomials Distributive Property
  • Properties of Exponents Simplifying Quotients Negative Exponents
  • Negative Exponents and Power of Zero
  • Factoring Overview
  • Factoring Monomials from a Polynomial
  • Factoring Polynomials Difference of Squares
  • Factoring Polynomials Sum Difference of Cubes
  • Factoring Quadratic Trinomial x^2+bx+c Polynomial
  • Factoring Quadratic Trinomial ax^2+bx+c
  • Factoring by Grouping
  • Simplifying Complex Fractions
  • Cooperative Work Word Problems (Time to Finish)
  • Alligation or Percent Mixture Problems
  • Graphing Parabolas w/ vertex & intercepts
  • Parabola Applications Maximizing Minimizing Reflectors, etc
  • Simplifying Numerical Square Roots
  • Simplifying Square Roots (Radicals) with Variables
  • Multiplying & Dividing Radicals Properties of Roots
  • Solving Equations with Radicals
  • Equations with Radicals
  • Rational Exponents & Simplifying Radicals
  • Solving Equations Rational Exponents
  • Pythagorean Theorem
  • Pythagorean Theorem Algebraic Examples
  • Converse Pythagorean Theorem & Triples
  • Rationalizing Square Roots from Monomial Denominator
  • Rationalizing Square Roots from Binomial Denominator
  • Completing the Square to Solve Quadratic Equations
  • Quadratic Formula Derivation
  • Quadratic Formula to Solve Quadratic Equations
  • Complex (imaginary) Numbers Part 1
  • Complex (imaginary) Numbers Part 2
  • 2 Variable Non Linear Systems Substitution Method
  • 2 Variable Non Linear Systems Addition/Elimination Method
  • Long Division of Polynomials
  • Synthetic Division & Remainder Theorem
  • Finding polynomials using the Linear Factorization Theorem
  • Even and Odd Functions Many Examples
  • Solving Higher Order Polynomials Pt 1 Rational Zeros Descartes Rule
  • Solving Higher Order Polynomials Pt 2 Rational Zeros Descartes Rule
  • Polynomial Graphs Part 1
  • Polynomial Graphs Part 2
  • Combining Functions & Function Operations
  • Combining Functions Function Operations
  • Composition of Functions
  • Graphing Exponential Functions w/ t-table or Transformations
  • Inverse Functions
  • Logarithm Introduction
  • Graphing Logarithms
  • Using Properties of Logarithms to Expand Logs
  • Using Properties of Logarithms to Condense Logs
  • Change of Base Formula Logarithms
  • Solving Equations with Logarithms Pt 1
  • Solving Equations with Logarithms Pt 2
  • Solving Equations with Logarithms Pt 3
  • Finding vertical asymptotes and holes of rational equations
  • Horizontal Asymptotes of rational equations
  • Graphing Rational Functions Part 1
  • Graphing Rational Functions Part 2
  • Graphing Rational Functions with Slant Asymptotes
  • Rational Algebraic Expressions Simplified
  • Sum and Difference of Rational Expressions
  • Product & Quotient of Rational Expressions
  • Solving Rational Equations
  • Solving Rational Inequalities
  • Factorial Notation
  • Summation Notation (Sigma)
  • Intro to Sequences
  • Arithmetic Means
  • Partial Sum Arithmetic Sequence
  • Intro to Geometric Sequences
  • Geometric Means in a Geometric Sequence
  • Partial Sum Geometric Sequences
  • Infinite Sum Geometric Series
  • Converting Repeating Decimal to a Fraction
  • Graphing Parabolas in Standard Form
  • Applications of Parabolas in Standard Form
  • Graphing Ellipses & Circles
  • Application of Ellipses
  • Finding Equations of Conics from Given Conditions
  • Graphing Hyperbolas in Standard Form
  • Application of Hyperbolas
  • Binomial Theorem Introduction to Raise Binomials to High Powers

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