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Videos for MATH 10023 and MATH 10024

Videos created by Bev Reed for the online Core Math 10023/24 courses.

As of Fall 11: called Basic Algebra III/IV.

Ebook:

Ebook:

All ebooks:

MATH 10023

EXPONENTS

Integer Exponents

Rational Exponents:

Rational Exponents II:

RADICALS

Simplifying Radicals:

Radicals Cont’d:

FACTORING

Factoring Trinomials:

Factor by Grouping:

Sum or Difference of Cubes:

Difference of Squares:

Greatest Common Factor:

Binomial Common Factors:

Factoring quadratic form:

OPERATIONS ON POLYNOMIALS

Polynomial Multiplication:

RATIONAL EXPRESSIONS

Adding or Subtracting Rational Expressions:

Multiplying Rational Expressions:

Dividing Rational Expressions:

Compound Rational Expressions:

RATIONAL EQUATIONS

Solving Rational Equations:

Proportions and similar triangles:

Work Rate and Distance-Rate-Time problems:

SYSTEMS OF EQUATIONS

Modeling with system of 2 equations:

Systems of 2 equations modeling:

QUADRATICS

Vertex of parabola:

Perimeter/area:

Intro to quadratic equations:

Intro to quadratic functions:

Completing the square:

Solving Quadratic Form Equations:

Solving Quadratic Inequalities:

Equations Reducible to Quadratic Form:

MATH 10024

ABSOLUTE VALUE EQUATIONS AND INEQUALITIES

Absolute Value Equations:

Absolute Value inequalities:

EXPONENTIAL FUNCTIONS, GRAPHS, AND EQUATIONS

Exponential Functions I:

Writing Exponential Models:

Exponential Decay:

Exponential Functions:

Graphs of Exponential Functions:

Exponential Equations 10024:

The number e:

Exponential equations 10024:

INTRO TO LOGARITHMS

Basic logarithms:

Natural Log Function:

Graphs of log functions:

Domains of Log functions:

Solving log equations:

RATIONAL FUNCTIONS

Intro to Rational Functions:

Graphs of simple rational functions:

Vertical asymptotes and domains:

Finding horizontal asymptotes:

Graphing rational functions:

Changing the form of a rational function:

Horizontal Asymptotes revisited:

Other:

Equations for Lines:

Function intro:

Domain and Range:

Graphing funcs with transformations:

All translations combined:

All translations combined II:

Laws of Logarithms:

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