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Math All-In-One (Arithmetic, Algebra, and Geometry Review)

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Course Description

This self-paced All-In-One 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.


Geometry: reviewing Geometric Concepts and Relationships, Understanding Measurements of Congruence and Similarity, the Pythagorean Theorem, 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.

The course goal of Math All-In-One is for students to be able to successfully solve math related problems in various formats that deal with topics in arithmetic, algebra and geometry.
  • Completely Online
  • Self-Paced
  • Instructor Support
  • 6 Months to Complete
  • 24/7 Availability
  • Start Anytime
  • PC & Mac Compatible
  • Android & iOS Friendly
IACET Accredited Provider
Universal Class, Inc. has been approved as an Accredited Provider by the International Association for Continuing Education and Training (IACET). In obtaining this approval, Universal Class, Inc. has demonstrated that it complies with the ANSI/IACET Standard which is widely recognized as the Standard of good practice internationally. As a result of their Accredited Provider status, Universal Class, Inc. is authorized to offer IACET CEUs for its courses that qualify under the ANSI/IACET Standard.

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Course Lessons

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  • 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 Proper
  • Basic 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 Princip
  • Basic 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; How
  • Basic 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; Multiply
  • Algebra 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 Binomial
  • Algebra 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 Intercepts
  • Algebra 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 Inequalities
  • Geometry 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 similarity
  • More Class Lessons...

Additional Course Information
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Course Title: Math All-In-One (Arithmetic, Algebra, and Geometry Review)
Course Number: 7550574
Languages: English - United States, Canada, United Kingdom, Australia, New Zealand, and other English speaking countries
Course Type: General Education
CEU Value: 3.5 IACET CEUs (Continuing Education Units)
CE Accreditation: Universal Class, Inc. has been accredited as an Authorized Provider by the International Association for Continuing Education and Training (IACET).
Grading Policy: Earn a final grade of 70% or higher to receive an online/downloadable CEU Certification documenting CEUs earned
Assessment Method: Lesson assignments and review exams
Instructor: Jeff Clark
Syllabus: View Syllabus
Duration: Continuous: Enroll anytime!
Course Fee: $85.00 (no CEU Certification) || with CEU Certification: $110.00

Learning Outcomes

By successfully completing this course, students will be able to:
  • 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 IntroductionAssignment5
Lesson 1 Assignment: Identifying NumbersAssignment20
Quiz for Lesson 1 - Numbers and TerminologyExam10
Lesson 2 Assignment: Practicing AdditionAssignment20
Quiz for Lesson 2 - AdditionExam10
Lesson 3 Assignment: Subtraction PracticeAssignment20
Quiz for Lesson 3 - SubtractionExam10
Lesson 4 Assignment: Multiplication ExercisesAssignment20
Quiz for Lesson 4 : MultiplicationExam10
Lesson 5 Assignment: Division PracticeAssignment20
Quiz for Lesson 5 - DivisionExam10
Lesson 6 Assignment: Practice with SignsAssignment20
Quiz for Lesson 6 - Signs used in Operations – Positive and Negative NumbersExam10
Lesson 7 Assignment: Order of Operation ProblemsAssignment20
Lesson 8 Assignment: Practice with FractionsAssignment20
Quiz for Lesson 8 - FractionsExam10
Lesson 9 Assignment: Decimal PracticeAssignment20
Quiz for Lesson 9 - Decimals/The Decimal Number SystemExam10
Lesson 10 Assignment: Practicing PercentsAssignment20
Quiz for Lesson 10 - PercentsExam10
Lesson 11 Assignment: Practicing Other OperationsAssignment20
Quiz for Lesson 11 - Other OperationsExam10
Lesson 12 Assignment: Using the CalculatorAssignment20
Basic Math ReviewExam53
Quiz for Lesson 13- Terminology: Words and SymbolsExam10
Lesson 14 AssignmentAssignment20
Quiz for Lesson 14- Properties and Principles of EquationsExam10
Quiz for Lesson 15 - Directed Numbers in EquationsExam9
Lesson 16 AssignmentAssignment20
Quiz for Lesson 16- Solving Problems using Equations and InequalitiesExam9
Lesson 17 AssignmentAssignment20
Quiz for Lesson 17 - Exponents and RootsExam10
Lesson 18 AssignmentAssignment20
Quiz for Lesson 18 - PolynomialsExam9
Lesson 19 AssignmentAssignment20
Quiz for Lesson 19 - FractionsExam10
Lesson 21 AssignmentAssignment20
Quiz for Lesson 21 - Factoring to Solve ProblemsExam10
Lesson 22 AssignmentAssignment20
Quiz for Lesson 22 - Linear Equations and InequalitiesExam7
Lesson 23 AssignmentAssignment20
Quiz for Lesson 23 - Solving Systems of EquationsExam8
Lesson 24 AssignmentAssignment20
Quiz for Lesson 24 - More Quadratic Equation Solution MethodsExam8
Basic Algebra ReviewExam225
Lesson 25 AssignmentAssignment25
Quiz for Lesson 25- Terms and MotivationExam10
Lesson 26 AssignmentAssignment20
Quiz for Lesson 26 Reasoning and MeasurementExam10
Lesson 27 AssignmentAssignment20
Lesson 27B AssignmentAssignment25
Lesson 28 AssignmentAssignment25
Quiz for Lesson 28 - Triangles I: Properties of TrianglesExam10
Lesson 29 AssignmentAssignment25
Quiz for Lesson 29- Triangles II: Congruent TrianglesExam10
Lesson 30 AssignmentAssignment25
Quiz for Lesson 30- Triangles III: Similar TrianglesExam7
Lesson 31 AssignmentAssignment20
Quiz for Lesson 31- QuadrilateralsExam10
Lesson 32 AssignmentAssignment20
Lesson 32B AssignmentAssignment25
Quiz for Lesson 32- PolygonsExam10
Lesson 33 AssignmentAssignment20
Quiz for Lesson 33- CirclesExam10
Lesson 34 AssignmentAssignment20
Quiz for Lesson 34- Composite FiguresExam10
Lesson 35 AssignmentAssignment20
Quiz for Lesson 35- Classical ConstructionExam10
Lesson 36 AssignmentAssignment20
Quiz for Lesson 36- Practical Geometry ProblemsExam10
Lesson 37 AssignmentAssignment20
Quiz for Lesson 37- Three-Dimensional Geometry IExam10
Lesson 38 AssignmentAssignment20
Quiz for Lesson 38- Three-Dimensional Geometry IIExam10
Lesson 39 AssignmentAssignment20
Quiz for Lesson 39- Geometry and TrigonometryExam10
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 life-saver for me to pass this exam." -- Mary H.
  • "Instructor was answering quite fast, very good!" -- Agata S.
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