# Course Syllabus: Algebra 101: Beginner to Intermediate Level

no certificate

with CEU Certificate*

## 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

## 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

## Grading Policy

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

- 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

Introduction | 1 |

Lesson 1 – Algebra Terms and Motivation | 10 |

Lesson 2 – The Set of Real Numbers | 10 |

Lesson 3 Exercises | 7 |

Lesson 3 – Algebraic Operations | 11 |

Lesson 4 Exercises | 8 |

Lesson 4 - Functions | 10 |

Lesson 5 Exercises | 9 |

Lesson 5 – Linear Equations | 10 |

Lesson 6 Exercises | 3 |

Lesson 6 – Linear Inequalities | 11 |

Lesson 7 – Systems of Linear Equations | 10 |

Lesson 8 – Systems of Linear Inequalities | 10 |

Lesson 9 Exercises | 4 |

Lesson 9 – Solving Word Problems I | 10 |

Lesson 10 Exercises | 8 |

Lesson 10 – Polynomial Functions | 10 |

Lesson 11 – Exponential and Logarithmic Functions | 10 |

Lesson 12 Exercises | 3 |

Lesson 12 – Polynomial Functions II | 9 |

Lesson 13 Exercises | 4 |

Lesson 13 – Application of Algebra to Geometry | 9 |

Lesson 14 – Application of Algebra to Statistics and Probability | 9 |

The Final Exam | 47 |

Total Points: | 233 |

## Related Articles

- Algebra Terminology: Operations, Variables, Functions, and Graphs
- How to Solve Polynomial Functions
- Solving Exponential and Logarithmic Functions
- How to Solve Algebra Word Problems
- How to Solve Linear Equations
- Precalculus Functions: Domain, Range, Composite, and Inverse
- Applied Statistics: Repeated Measures
- Math Skills: How to Do Subtraction
- Understanding Measures of Dispersion in Statistics
- Understanding the Algebraic and Graphical Properties of Ellipses and Hyperbolas
- Understanding Waves: Motions, Properties and Types
- The Mathematical Rules of Solving Exponent Problems
- What is Geometry?
- Calculating the Mean and Standard Deviation of a Distribution
- How to Solve Geometry Problems involving Rectangles and Triangles