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Course Syllabus: Algebra 101: Beginner to Intermediate Level

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Course Description



Algebra 101 is intended for students who need to gather a basic understanding of how to perform Algebra operations. This course will benefit current students and adult learners who need to know how to perform basic Algebra operations which involve simplifying, factoring, or solving equations in the form of inequalities, fractions, exponents and word problems.


This online course takes the student's knowledge of arithmetic and extends it by introducing the concepts of variables and functions. These new concepts allow students to solve a range of problems involving unknown quantities in areas such as geometry, probability and statistics, and various real-world scenarios.

Course Requirements

There are no pre requisites. Anyone over the age of 13 is welcome to join this course. It is recommended though that individuals have obtained a ninth grade education in order to grasp the Math information presented.

Course Topics


Lesson 1 – Algebra Terms and Motivation

Lesson 2 – The Set of Real Numbers

Lesson 3 – Algebraic Operations

Lesson 4 – Functions

Lesson 5 – Linear Equations

Lesson 6 – Linear Inequalities

Lesson 7 – Systems of Linear Equations

Lesson 8 – Systems of Linear Inequalities

Lesson 9 – Solving Word Problems I

Lesson 10 – Polynomial Functions

Lesson 11 – Exponential and Logarithmic Functions

Lesson 12 – Polynomial Functions II

Lesson 13 – Application of Algebra to Geometry

Lesson 14 – Application of Algebra to Statistics and Probability

Course Materials

No additional course materials required to complete this course.

Grading Policy

Each lesson will include a written and practice assignment that will directly apply what you have learned.A brief 10 pt. quiz will follow each lesson. Students will successfully complete this course by mastering all learning outcomes with 70% or higher overall grade.

Learning Outcomes

By successfully completing this course, students will be able to:
  • Identify and define Algebra terms.
  • Identify Real Numbers.
  • Perform basic Algebraic Operations.
  • Identify and create Algebra Functions.
  • Identify and solve Linear Equations.
  • Identify and solve Linear Inequalities.
  • Identify and solve Algebra Word Problems.
  • Identify and solve Polynomial Functions.
  • Identify and solve Exponential and Logarithmic Functions, and
  • Demonstrate mastery of lesson content at levels of 70% or higher.

Assessment Guide

Assessment Points
Lesson 1 – Algebra Terms and Motivation10
Lesson 2 – The Set of Real Numbers10
Lesson 3 Exercises7
Lesson 3 – Algebraic Operations11
Lesson 4 Exercises8
Lesson 4 - Functions10
Lesson 5 Exercises9
Lesson 5 – Linear Equations10
Lesson 6 Exercises3
Lesson 6 – Linear Inequalities11
Lesson 7 – Systems of Linear Equations10
Lesson 8 – Systems of Linear Inequalities10
Lesson 9 Exercises4
Lesson 9 – Solving Word Problems I10
Lesson 10 Exercises8
Lesson 10 – Polynomial Functions10
Lesson 11 – Exponential and Logarithmic Functions10
Lesson 12 Exercises3
Lesson 12 – Polynomial Functions II9
Lesson 13 Exercises4
Lesson 13 – Application of Algebra to Geometry9
Lesson 14 – Application of Algebra to Statistics and Probability9
The Final Exam47
Total Points:233

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