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Course Description
Find out how algebra is simply a natural extension of the math you learned in elementary school. Basic Algebra is designed for all students who need a basic understanding of algebraic operations including simplifying, factoring, solving equations and inequalities, working with fractions or exponents, graphing, and word problems.
In Basic Algebra we will walk step-by-step through a wide variety of explained problems. Learn to perform the steps to solve equations and graph solutions. Understand FOIL (when it isn't wrapping your baked potato). Discover methods for factoring trinomials quickly and easily. Understand slopes and line equations so that you can identify a slope from two points or draw a line with a slope and a point. See how word problems help you translate your math skills to your real world. Explore additional resources for more explanations and practice problems with immediate feedback. Allow the course to lead you from topic to topic, building on what you already know.
Learning Outcomes
By successfully completing this course, students will be able to:
Identify properties and principles of equations.
Define algebra terminology.
Understand directed numbers in equations.
Solve problems using equations and inequalities.
Solve problems using exponents and roots.
Solve polynomials.
Solve problems involving fractions.
Solve problems by using factoring.
Solve linear equations and inequalities.
Solve systems of equations.
Solve quadratic equations, and
Demonstrate mastery of lesson content at levels of 70% or higher.
Course Lessons
Lesson 1 - Terminology: Words and Symbols
This lesson will cover these topics: Numbers;
Numerals, Numbers, and Digits – What's the Difference?;
Equivalent, Greater Than, and Less Than (mathematical sentences: equality or inequality?);
Variables and Constants;
Axioms and Proper
Lesson 2 - Properties and Principles of Equations
This lesson will cover these topics: Special
Addition and Subtraction Properties of Equations;
Multiplication and Division Properties of Equations;
Using the Properties to Simplify Terms in Equations, including Variables;
Transformation Princip
Lesson 3 - Directed Numbers in Equations
This lesson will cover these topics: Understanding Directed (Positive and Negative) Numbers;
Adding and Subtracting with Directed Numbers;
Additive Inverse;
Multiplying and Dividing with Directed Numbers;
Multiplicative Inverse of a Number;
How
Lesson 4 - Solving Problems using Equations and Inequalities
This lesson will cover these topics:
Parentheses, Brackets, and Order of Operations;
Simplifying an Algebraic Expression;
The Steps to Solving a Problem;
Problem Solving Examples;
Practice Problems.
Lesson 5 - Exponents and Roots
This lesson will cover these topics: Bases, Factors, and Exponents;
Expressing Exponents in Words;
Negative Exponents and Negative Bases;
Adding and Subtracting Numbers with Exponents;
Multiplying and Dividing Numbers with Exponents.
Lesson 6 - Polynomials
Lesson topics will include: What is a Polynomial?;
Adding and Subtracting Polynomials;
Multiplying and Dividing Polynomials;
The Product of Powers and the Power of a Product;
Uses of Polynomials – Area and Volume Problems.
Lesson 7 - Fractions
This lesson will cover these topics: What is a Fraction?;
Proper Fractions, Improper Fractions, and Mixed Numbers;
Equivalent Fractions and Lowest Terms;
Greatest Common Factor and Lowest Common Denominator;
Adding and Subtracting Fractions;
Multiply
Lesson 8 - Factoring to Solve Problems
This lesson will cover these topics:
Common Factors;
Using the Distributive Property in Graphing;
Factoring the Difference of Two Squares;
Squaring a Binomial
Lesson 8 - Factoring to Solve Problems (Part 2)
This lesson will cover these topics: Combining Types of Factoring;
Uses of Factoring - Examples.
Lesson 9 - Linear Equations and Inequalities
This lesson will cover these topics: What Do Linear Equations Look Like?;
The x and y Intercepts
Lesson 10 - Solving Systems of Equations
This lesson will cover these topics: Two Variables and Two Sentences;
Solving by Substitution;
Solving with Addition or Subtraction to Eliminate a Variable;
Solving by Graphing;
Systems of Three or More Sentences.
Lesson 11 - More Quadratic Equation Solution Methods
This lesson will cover these topics: The Property of Square Roots of Equal Numbers;
Completing the Trinomial Square;
The Quadratic Formula;
Quadratic Inequalities
This is a non-credit course, and is provided for your personal enrichment.
This course is not intended to be a substitute for any state, government, licensing, certification or educational requirements.
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($65.00) An understanding of algebra is a foundational skill to virtually all topics in higher-level mathematics, and it is useful in science, statistics, accounting, and numerous other professional and academic areas. more
($70.00) This course will provide the learner with a better understanding of the underlying concepts of geometry. more
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