Course Syllabus

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.

Completely Online
Self-Paced
6 Months to Complete
24/7 Availability
Start Anytime
PC & Mac Compatible
Android & iOS Friendly
Accredited CEUs

Universal Class is an IACET Accredited Provider

Learning Outcomes

By successfully completing this course, students will be able to:

Define and distinguish between different types of numbers such as natural, whole, integers, rational, and irrational numbers using original definitions and examples.
Identify and apply properties of equality and axioms in algebraic expressions and sentences to demonstrate relationships between variables and constants.
Apply the distributive property to simplify algebraic expressions, utilizing multiplication over addition or subtraction, and verify results through calculation.
Define the closure property for both addition and multiplication of whole numbers and explain its significance with examples.
Demonstrate understanding of multiplicative and additive inverse properties by accurately solving equations that include directed numbers.
Identify and apply rules for addition and subtraction of directed numbers to solve algebraic expressions involving both positive and negative integers.
Define and apply the order of operations to simplify algebraic expressions accurately using PBBEMDAS.
Demonstrate proficiency in using the FOIL method to multiply two binomial expressions, resulting in the correct expression.
Demonstrate the ability to simplify expressions involving negative exponents by using the reciprocal of the base.
Identify the base and exponent in a given mathematical expression and describe their roles in determining the power.
Calculate the degree of a polynomial by determining the greatest degree of its terms, adding exponents for each variable present in each term.#
Define a polynomial as a mathematical expression consisting of monomials, where each monomial is either a numeral, a variable, or their product.
Define the terms numerator and denominator and explain their roles in fractions.
Demonstrate mastery of lesson content at levels of 70% or higher.

Assessment Guide

Assessment	Points
Introduction Assignment	1 points
Lesson 1 Terminology: Words and Symbols	6 points
Lesson 2 Exercises	8 points
Lesson 2 - Properties and Principles of Equations	8 points
Lesson 3 - Directed Numbers in Equations	9 points
Lesson 3 Exercises	5 points
Lesson 4 Exercises	8 points
Lesson 4 - Solving Problems using Equations and Inequalities	8 points
Additional Resources for Radicals and Exponents	1 points
Lesson 5 Exercises	20 points
Lesson 5 - Exponents and Roots	8 points
Lesson 6 Activity	1 points
Lesson 6 Exercises	10 points
Lesson 6 - Polynomials	10 points
Lesson 7 Exercises	8 points
Lesson 7 - Fractions	9 points
Lesson 8 Exam - Factoring	5 points
Lesson 9 Activity	1 points
Lesson 9 Exercises	6 points
Lesson 9 - Factoring to Solve Problems	9 points
Lesson 10 Activity	1 points
Lesson 10 Exercises	6 points
Lesson 10 - Linear Equations and Inequalities	9 points
Lesson 11 Activity	1 points
Lesson 11 Exercises	8 points
Lesson 11 - Solving Systems of Equations	8 points
Lesson 12 Activity	1 points
Lesson 12 - More Quadratic Equation Solution Methods	7 points
The Final Exam	220 points