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Algebra 1

About This Course

Course Description: This course focuses on developing a solid foundation of algebra thought. 

One of the key characteristics of success in mathematics is learning how to find solutions when answers are not provided; in other words, learning how to problem-solve questions. In this course, you will build upon the concepts found in Fundamentals as you learn how to solve problems algebraically and geometrically.

Topics in this course include an introduction to the real number system, solving numerical and symbolical linear equations, factoring polynomials, solving inequalities, linear functions, systems of equations and inequalities, solving exponential equations, and solving radical equations. There will also be an emphasis on both factoring and graphing quadratic polynomials. 

Course Information

Course Topics

  • Arithmetic Basics
  • Real Number System
  • Order of Operations
    • Adding and Substracting
    • Multiplying and Dividing
    • Combining Like Terms
  • Solving Basic Equations
  • Distribution property
  • Solving Basic Equations
  • Ratios and Proportions
  • Percentage
  • Solving for x and y
  • Coordinate Plane
  • Ploting Functions
  • Graphing Linear Equations
  • Slope (Rate of Change)
  • Slope-Intercept Form
  • Parallel and Perpendicular Lines
  • Linear Model (line of best fit)
  • Single Inequalities
  • Compound Inequalities
  • Absolute Value Function
  • Solving Inequalities
    • Interval Notation
  • Linear Inequalities Two Variables
    • Graphing
  • System of Linear Equations
  • Graphing Linear Systems
  • Solving Linear Systems
    • Substitution
    • Elimination
  • Systems of Linear Inequalities
  • Solving Systems of Inequalities
  • Operations
    • Adding and Substracting
    • Multiplying and FOIL
    • Binomial Theorem
  • Distribution Property
  • Special Products
  • Factoring Quadratics
    • x^2+bx+c
    • ax^2+bx+c
  • Graphing Quadratics
  • Properties of Exponents
  • Expand and Condense 
  • Scientific Notation
  • Simplifying Radicals
  • Solving Radical Equations
  • Square roots and Cube Roots
  • Solving Quadratics
    • Square-Root Property
    • Quadratic Formula

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