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Mastery, Not Mystery: Algebra Prerequisites
Rating: 4.7 out of 5(17 ratings)
675 students

Mastery, Not Mystery: Algebra Prerequisites

What you need to know about properties, order of operations, exponents, roots and polynomials before starting algebra.
Created byRick Martinez
Last updated 2/2025
English
English [Auto],

What you'll learn

  • Students will understand mathematical properties.
  • Students will understand and apply the order of mathematical operations.
  • Students will understand and analyze the relationship between exponents and roots.
  • Students will understand the differences between monomials, binomials and polynomials.
  • Students will understand and apply absolute value operations.

Course content

6 sections • 20 lectures • 1h 37m total length

  • Numbers4:56
  • Commutative Property4:32
  • Associative Property1:58

    Explore how the associative property regroups terms in addition and multiplication without changing the value. See examples like 4 + 3 + 2 and 4 × 3 × 2.

  • Symmetry Property1:32
  • Distribution Property8:17
  • Transitive Property1:22

    Explore the transitive property: if A = B and B = C, A = C. Relate it to substitution by replacing A with B when A = B.

  • Substitution Property1:53
  • Inverse Property3:21
  • Identity Property1:35

    Explore the additive and multiplicative identity properties, showing how numbers plus zero and times one keep their value. Use simple examples like ten plus zero and negative three times one.

  • Zero Product Property2:04
  • Properties of Equality7:39

    maintain balance by applying equality properties: add, subtract, multiply, and divide to both sides, ensuring every term is treated consistently to solve for x.

Requirements

  • Students should have completed pre-algebra at secondary school or college level.

Description

This course is designed for anyone at least 18 years of age starting an algebra course, pre-algebra course or basic mathematics.  This course can even be used for adults or parents wanting to learn algebra for their own use or to help their own children with these topics.  Included in this free course are:

-Numbers:  a basic description of the development of the number system including integers, rational and irrational numbers.

-Properties:  Includes a description and examples of the basic mathematical properties used in algebra, i.e. commutative, associative, symmetric, distributive, transitive, substitution, inverse, identity, zero product and properties of equality.

- Order of operations: describes use of order of mathematical operations using the acronym PEMDAS.

- Exponents and roots: Defines exponents and roots and their relationship.

- Absolute Value: Describes absolute value and how to solve for various equations involving absolute values expressions.

-Variable of Interest:  Using mostly properties of equality, shows how to solve for a single variable in a multivariable equation scenario.

This free course can be used as a refresher at all levels or it can be used for students seeing these topics for the first time to help with the more challenging topics in a full algebra course.

Who this course is for:

  • This course is intended to refresh or introduce learners to the basics of pre-algebra and algebra.

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