Math AllInOne (Arithmetic, Algebra, and Geometry Review)
no certificate
with CEU Certificate*

39Lessons

76Exams &Assignments

35Hoursaverage time

3.5CEUs

0Studentshave taken this course
Course Description
This selfpaced AllInOne Math Course reviews the basics of arithmetic, algebra and geometry. This condensed course covers the following material:
Arithmetic: reviewing the use of numbers, signs and symbols, how to perform various operations, how to solve problems with Fractions, Percents and Decimals, and much more.
Algebra: reviewing Linear Equations and Inequalities, how to solve various word problems, how to simplify and factor numbers, and much more.
This compact course is an ideal "crash course" for anyone needing review or instruction in these math areas or anyone who wants to improve results on high school or college exams. If you want a jump start before starting college or just interested in learning how to solve math problems, this is the course for you.
 Completely Online
 SelfPaced
 Instructor Support
 IACET CEUs
 6 Months to Complete
 24/7 Availability
 Start Anytime
 PC & Mac Compatible
 Android & iOS Friendly
Course Lessons
Arithmetic Lesson 1  Numbers and Terminology
This lesson focuses on numbers and terminology, such as digits, place values, and variables.Arithmetic Lesson 2  Addition
This lesson focuses on addition, both simple and carrying.Arithmetic Lesson 3  Subtraction
This lesson covers subtraction, both basic and borrowing.Arithmetic Lesson 4  Multiplication
This lesson focuses on multiplication, including both single and multiple digits.Arithmetic Lesson 5  Division
This lesson covers division, including grouping, facts, and single and multiplier divisors.Arithmetic Lesson 6  Signs used in Operations  Positive and Negative Numbers
This lesson focuses on signs used in operations, including positive and negative numbers.Arithmetic Lesson 7  Operations and Properties
This lesson looks at operations and properties, including closure, and order of operations.Arithmetic Lesson 8  Fractions
This lesson focuses on fractions, including adding, subtracting, multiplying, and dividing.Arithmetic Lesson 9  Decimals/The Decimal Number System
This lesson focuses on decimals, including moving them, converting fractions, adding and subtracting, etc.Arithmetic Lesson 10  Percents
This lesson focuses on using percents, including converting.Arithmetic Lesson 11  Other Operations
This lesson looks at other operations, including rounding, estimating, exponents, powers, etc.Arithmetic Lesson 12  Calculators: Using a Calculator
This final lesson in this section focuses on correctly using a calculator.Basic Algebra Lesson 13  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 ProperBasic Algebra Lesson 14  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 PrincipBasic Algebra Lesson 15  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; HowBasic Algebra Lesson 16  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.Basic Algebra Lesson 17  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.Algebra Lesson 18  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.Algebra Lesson 19  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; MultiplyAlgebra Lesson 20  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 BinomialAlgebra Lesson 21  Factoring to Solve Problems (Part 2)
This lesson will cover these topics:
Combining Types of Factoring; Uses of Factoring  Examples.Algebra Lesson 22  Linear Equations and Inequalities
This lesson will cover these topics:
What Do Linear Equations Look Like?; The x and y InterceptsAlgebra Lesson 23  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.Algebra Lesson 24  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 InequalitiesGeometry Lesson 25  Geometry Terms and Motivation
To begin the sectionn on Geometry, we first discuss why the study of geometry can be beneficial, both in school and work as well as in daily life.Geometry Lesson 26  Geometric Reasoning and Measurement
To aid in our discussion of geometry, this lesson reviews some fundamental principles of geometric reasoning and measurement that will aid our analysis throughout the course.Geometry Lesson 27  Angles and Parallelism
In this lesson, we introduce the concept of an angle and discuss the relationships among angles formed by intersecting lines.Geometry Lesson 28  Triangles I: Properties of Triangles
This lesson introduces our first polygon: the triangle. We consider what constitutes a triangle as well as several types of triangles with special properties.Geometry Lesson 29  Triangles II: Congruent Triangles
This lesson uses concepts from our introduction to triangles in the previous lesson and applies them to congruent triangles.Geometry Lesson 30  Triangles III: Similar Triangles
This lesson concludes our focus on triangles by considering another sense in which we can understand congruence and similarityMore Class Lessons...
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Learning Outcomes
 Identify numbers and signs.
 Solve addition, subtraction, division, and multiplication problems.
 Identify symbols and operations.
 Solve fraction, decimal and percent problems.
 Summarize basic algebra terms.
 Solve linear equations and inequalities.
 Solve algebra word problems.
 Demonstrate solving algebra problems with simplification.
 Solve algebraic fraction problems.
 Define lines, points, and space in geometric terms.
 Summarize geometric concepts and relationships.
 Identify the Pythagorean Theorem.
 Summarize measurements of congruence and similarity.
 Summarize coordinate geometry.
 Solve geometric problems involving perimeters and areas.
 Solve geometric problems involving volumes and surface areas, and
 Demonstrate mastery of lesson content at levels of 70% or higher.
An Introduction  Assignment  5 
Lesson 1 Assignment: Identifying Numbers  Assignment  20 
Quiz for Lesson 1  Numbers and Terminology  Exam  10 
Lesson 2 Assignment: Practicing Addition  Assignment  20 
Quiz for Lesson 2  Addition  Exam  10 
Lesson 3 Assignment: Subtraction Practice  Assignment  20 
Quiz for Lesson 3  Subtraction  Exam  10 
Lesson 4 Assignment: Multiplication Exercises  Assignment  20 
Quiz for Lesson 4 : Multiplication  Exam  10 
Lesson 5 Assignment: Division Practice  Assignment  20 
Quiz for Lesson 5  Division  Exam  10 
Lesson 6 Assignment: Practice with Signs  Assignment  20 
Quiz for Lesson 6  Signs used in Operations – Positive and Negative Numbers  Exam  10 
Lesson 7 Assignment: Order of Operation Problems  Assignment  20 
Lesson 8 Assignment: Practice with Fractions  Assignment  20 
Quiz for Lesson 8  Fractions  Exam  10 
Lesson 9 Assignment: Decimal Practice  Assignment  20 
Quiz for Lesson 9  Decimals/The Decimal Number System  Exam  10 
Lesson 10 Assignment: Practicing Percents  Assignment  20 
Quiz for Lesson 10  Percents  Exam  10 
Lesson 11 Assignment: Practicing Other Operations  Assignment  20 
Quiz for Lesson 11  Other Operations  Exam  10 
Lesson 12 Assignment: Using the Calculator  Assignment  20 
Basic Math Review  Exam  53 
Quiz for Lesson 13 Terminology: Words and Symbols  Exam  10 
Lesson 14 Assignment  Assignment  20 
Quiz for Lesson 14 Properties and Principles of Equations  Exam  10 
Quiz for Lesson 15  Directed Numbers in Equations  Exam  9 
Lesson 16 Assignment  Assignment  20 
Quiz for Lesson 16 Solving Problems using Equations and Inequalities  Exam  9 
Lesson 17 Assignment  Assignment  20 
Quiz for Lesson 17  Exponents and Roots  Exam  10 
Lesson 18 Assignment  Assignment  20 
Quiz for Lesson 18  Polynomials  Exam  9 
Lesson 19 Assignment  Assignment  20 
Quiz for Lesson 19  Fractions  Exam  10 
Lesson 21 Assignment  Assignment  20 
Quiz for Lesson 21  Factoring to Solve Problems  Exam  10 
Lesson 22 Assignment  Assignment  20 
Quiz for Lesson 22  Linear Equations and Inequalities  Exam  7 
Lesson 23 Assignment  Assignment  20 
Quiz for Lesson 23  Solving Systems of Equations  Exam  8 
Lesson 24 Assignment  Assignment  20 
Quiz for Lesson 24  More Quadratic Equation Solution Methods  Exam  8 
Basic Algebra Review  Exam  225 
Lesson 25 Assignment  Assignment  25 
Quiz for Lesson 25 Terms and Motivation  Exam  10 
Lesson 26 Assignment  Assignment  20 
Quiz for Lesson 26 Reasoning and Measurement  Exam  10 
Lesson 27 Assignment  Assignment  20 
Lesson 27B Assignment  Assignment  25 
Lesson 28 Assignment  Assignment  25 
Quiz for Lesson 28  Triangles I: Properties of Triangles  Exam  10 
Lesson 29 Assignment  Assignment  25 
Quiz for Lesson 29 Triangles II: Congruent Triangles  Exam  10 
Lesson 30 Assignment  Assignment  25 
Quiz for Lesson 30 Triangles III: Similar Triangles  Exam  7 
Lesson 31 Assignment  Assignment  20 
Quiz for Lesson 31 Quadrilaterals  Exam  10 
Lesson 32 Assignment  Assignment  20 
Lesson 32B Assignment  Assignment  25 
Quiz for Lesson 32 Polygons  Exam  10 
Lesson 33 Assignment  Assignment  20 
Quiz for Lesson 33 Circles  Exam  10 
Lesson 34 Assignment  Assignment  20 
Quiz for Lesson 34 Composite Figures  Exam  10 
Lesson 35 Assignment  Assignment  20 
Quiz for Lesson 35 Classical Construction  Exam  10 
Lesson 36 Assignment  Assignment  20 
Quiz for Lesson 36 Practical Geometry Problems  Exam  10 
Lesson 37 Assignment  Assignment  20 
Quiz for Lesson 37 ThreeDimensional Geometry I  Exam  10 
Lesson 38 Assignment  Assignment  20 
Quiz for Lesson 38 ThreeDimensional Geometry II  Exam  10 
Lesson 39 Assignment  Assignment  20 
Quiz for Lesson 39 Geometry and Trigonometry  Exam  10 
Total Points:  1410 
Student Testimonials
 "The organization was the most helpful. When studying for a review exam in Math as I was, it is extremely difficult to narrow the material in to a coherent package. The instructor did this for me. This was truly a lifesaver for me to pass this exam."  Mary H.
 "Instructor was answering quite fast, very good!"  Agata S.