# Emporium Math Videos

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## Emporium Math Videos

Below are links to the YouTube videos used in the emporium. Each video corresponds to a page in the workbook which can be downloaded via the link below. After each title is the name of the instructor who recorded the video. Some titles have been recorded by more than one instructor to provide diversity of instructional strategies.

These videos can also serve as a review before taking the Math placement test (Accuplacer).

### Introduction to Algebra (MATH 094)

1. Integers and Algebraic Expressions

Whole Numbers and Decimals

1. Rounding Whole Numbers – M. Whitney
2. Rounding Decimals – M. Whitney
3. Adding Whole Numbers – M. Whitney
4. Add Decimals – M. Whitney
5. Subtract Whole Numbers – M. Whitney
6. Subtract Decimals – M. Whitney
7. Multiply Whole Numbers – M. Whitney
8. Multiply Decimals – M. Whitney
9. Divide Whole Numbers – M. Whitney
10. Divide Decimals – M. Whitney

Operations with Integers

1. Integers and Absolute Value – M. Whitney
2. Multiply and Divide with Different Signs – M. Whitney
3. Multiply and Divide with the Same Sign – M. Whitney
4. Add with the Same Sign – M. Whitney
5. Add with Different Signs – M. Whitney
6. Add and Subtract Several Integers – M. Whitney

Exponents and Order of Operations

1. Exponents – M. Whitney
2. Exponents on Negatives – M. Whitney
3. Order of Operations – M. Whitney
4. Order with Absolute Value – M. Whitney

Simplify Algebraic Expressions

1. Substitute a Value – M. Whitney
2. Is it a Solution? – M. Whitney
3. Combine Like Terms – M. Whitney
4. Distributive Property – M. Whitney
5. Distribute and Combine Like Terms – M. Whitney
6. Perimeter Problems – M. Whitney
2. Fractions

Prime Factorization

1. Prime and Composite – M. Whitney | Mayer
2. Divisibility Tests – M. Whitney | Mayer
3. Prime Factorization – M. Whitney | Mayer

Reduce Fractions

1. Introduction to Fractions – M. Whitney | Mayer
2. Convert Fractions to Decimals – M. Whitney | Mayer
3. Equivalent Fractions – M. Whitney | Mayer
4. Reduce with Prime Factorizations – M. Whitney | Mayer
5. Reduce – M. Whitney | Mayer
6. Reduce with Variables – M. Whitney | Mayer

Multiply and Divide Fractions

1. Multiply with No Reducing – M. Whitney | Mayer
2. Multiply with Reducing – M. Whitney | Mayer
3. Multiply with Variables – M. Whitney | Mayer
4. Multiply with Whole Numbers and Fractions – M. Whitney | Mayer
5. Reciprocals – M. Whitney | Mayer
6. Divide Fractions – M. Whitney | Mayer
7. Divide with Variables – M. Whitney | Mayer
8. Divide with Whole Numbers and Fractions – M. Whitney | Mayer

Least Common Multiple

1. Multiples – M. Whitney | Mayer
2. LCM Using Mental Math – M. Whitney | Mayer
3. LCM Using Prime Factorization – M. Whitney | Mayer
4. LCM with Variables – M. Whitney | Mayer

1. With Common Denominator – M. Whitney | Mayer
2. With Different Denominators – M. Whitney | Mayer
3. With Different Large Denominators – M. Whitney | Mayer

Order of Operations with Fractions

1. Exponents on Fractions – M. Whitney | Mayer
2. Order of Operations with Fractions – M. Whitney | Mayer

Mixed Numbers

1. Mixed Numbers and Conversions – M. Whitney | Mayer
2. Add and Subtract Mixed Numbers – M. Whitney | Mayer
3. Multiply and Divide Mixed Numbers – M. Whitney | Mayer
3. Linear Equations

One Step Equations

1. Addition Principle – M. Whitney
2. Subtraction Principle – M. Whitney
3. Division Principle – M. Whitney
4. Multiplication Principle – M. Whitney

Two Step Equations

1. Two Steps – M. Whitney
2. Negative Variables – M. Whitney

General Linear Equations

1. Variable on Both Sides – M. Whitney
2. Combine Like Terms – M. Whitney
3. Distirbute and Combine – M. Whitney

Equations with Decimals and Fractions

1. Decimals – M. Whitney
2. Clear Fractions with LCD – M. Whitney
4. Stats, Graphing, Proportions and Percents

Averages

1. Mean – M. Whitney
2. Missing Value – M. Whitney
3. Weighted Mean – M. Whitney
4. Median – M. Whitney
5. Mode – M. Whitney

Probability and Plotting Points

1. Basic Probability – M. Whitney
2. Compound Events – M. Whitney
3. Give Coordinate – M. Whitney
4. Plot Point – M. Whitney

Rates and Unit Rates

1. Find Rate – M. Whitney
2. Find Unit Rate – M. Whitney

Proportions and Applications

1. Solving Proportions – M. Whitney
2. Proportion Applications – M. Whitney

Introduction to Percents

1. Convert Percents and Decimals – M. Whitney
2. Convert Percents and Fractions – M. Whitney

Translate Percents and Applications

1. Translate and Solve – M. Whitney
2. Discount – M. Whitney
3. Sales Tax – M. Whitney
4. Commission – M. Whitney
5. Simple Interest – M. Whitney

Percents as Proportions and Applications

1. Translate and Solve – M. Whitney
2. General Applications – M. Whitney
3. Percent Increase/Decrease – M. Whitney
5. Geometry and Intro to Polynomials

Convert Units

1. One Step Conversions –M. Whitney
2. Multi-Step Conversions –M. Whitney
3. Dual Unit Conversions –M. Whitney

Area, Volume, and Temperature

1. Area of Rectangle and Parallelogram –M. Whitney
2. Area of Triangle –M. Whitney
3. Area of Trapezoid –M. Whitney
4. Area of Circle –M. Whitney
5. Composition of Shapes –M. Whitney
6. Volume of a Rectangular Solid –M. Whitney
7. Volume of a Cylinder –M. Whitney
8. Volume of a Cone –M. Whitney
9. Volume of a Sphere –M. Whitney
10. Composition of Solids –M. Whitney
11. Convert Temperature –M. Whitney

Pythagorean Theorem

1. Square Roots –M. Whitney
2. Find Missing Side –M. Whitney
3. Applications –M. Whitney

Introduction to Polynomials

2. Subtract Polynomials –M. Whitney
3. Multiply Monomials –M. Whitney
4. Multiply a Monomial by a Polynomial –M. Whitney

Scientific Notation

1. Convert Scientific Notation to Standard Notation –M. Whitney
2. Convert Standard Notation to Scientific Notation –M. Whitney

### Intermediate Algebra I (MATH 098)

(Pre-Requisite for MATH&146 – Statistics, MATH&107 – Math in Society or PHIL&120 – Symbolic Logic)

7. Linear Equations and Applications

Order of Operations

1. The Order – Wallace
2. Lots of Parentheses – Wallace
3. Fractions – Wallace
4. Absolute Value – Wallace

Evaluate and Simplify Algebraic Expressions

1. Substitute a Value – Wallace
2. Combine Like Terms – Wallace
3. Distributive Property – Wallace
4. Distribute and Combine Like Terms – Wallace

Solve Linear Equations

1. Variable on Both Sides – Wallace
2. Simplify First – Wallace
3. Fractions – Wallace
4. Special Cases – Wallace

Formulas

1. Two Step Formulas – Wallace
2. Multi-Step Formulas – Wallace
3. Fractions and Formulas – Wallace
4. Factoring the Variable – Wallace

Word Problems

1. Number – Wallace
2. Consecutive Integers – Wallace
3. Consecutive Even/Odd Integers – Wallace
4. Triangles – Wallace
5. Perimeter – Wallace

Age Problems

1. Unknown Now – Wallace
2. Given the Sum Now – Wallace
3. Unknown Time – Wallace

Distance, Rate, Time Problems

1. Opposite Directions – Wallace
2. Catch Up – Wallace
3. Total Time – Wallace
8. Graphing Linear Equations and Solving Systems of Equations

Slope

1. Graphing Points and Lines – Adams | Wallace
2. Slope from Graph – Adams | Wallace
3. Slope from Points – Adams | Wallace

Equations of Lines

1. Slope-Intercept Equation – Adams | Wallace
2. Equation Through a Point – Adams | Wallace
3. Put in Slope-Intercept Form – Adams | Wallace
4. Graph a Linear Equation – Adams | Wallace
5. Given Two Points – Adams | Wallace

Parallel and Perpendicular Lines

1. Slopes – Adams | Wallace
2. Parallel Equations – Adams | Wallace
3. Perpendicular Equations – Adams | Wallace

Systems by Graphing

1. Solutions – Adams | Wallace
2. Solve with Intercept Form – Adams | Wallace

Systems by Substitution

1. Introduction to Substitution – Adams | Wallace
2. Substitute an Expression – Adams | Wallace
3. Solve for a Variable – Adams | Wallace
4. Substitution Special Cases – Adams | Wallace

Systems by Elimination

9. Polynomials

Exponents

1. Product Rule – Adams | Wallace
2. Quotient Rule – Adams | Wallace
3. Power Rules – Adams | Wallace
4. Zero Exponent – Adams | Wallace
5. Negative Exponets – Adams | Wallace
6. Properties – Adams | Wallace

Scientific Notation

1. Convert Scientific and Standard Notation – Adams | Wallace
2. Almost Scientific Notation – Adams | Wallace
3. Multiply or Divide – Adams | Wallace
4. Multiply or Divide where Answer is not in Scientific Notation – Adams | Wallace
5. Multiply and Divide – Adams | Wallace

1. Evaluate – Adams | Wallace
3. Multiply Monomial by Polynomial – Adams | Wallace
4. Multiply Binomials – Adams | Wallace
5. Multiply Trinomials – Adams | Wallace
6. Multiply Monomials and Binomials – Adams | Wallace
7. Multiply Sum and Difference – Adams | Wallace
8. Perfect Squares – Adams | Wallace

Polynomial Long Division

1. Division by Monomial – Adams | Wallace
2. Review Long Division – Adams | Wallace
3. Division by Binomial – Adams | Wallace
4. Division with Missing Term – Adams | Wallace
10. Factoring

Factor Common Factors and Grouping

1. Find a GCF – Mayer | Wallace
2. Factor a GCF – Mayer | Wallace
3. Binomial GCF – Mayer | Wallace
4. Grouping – Mayer | Wallace
5. Grouping with Change of Order – Mayer | Wallace

Factor Trinomials

1. Reverse FOIL – Mayer | Wallace
2. Two Variables – Mayer | Wallace
3. With GCF – Mayer | Wallace
4. Without a Leading Coefficient – Mayer | Wallace

Factoring Tricks

1. Perfect Squares – Mayer | Wallace
2. Difference of Squares – Mayer | Wallace
3. Sum of Squares – Mayer | Wallace
4. Sum and Difference of Cubes – Mayer | Wallace
5. Difference of 4th Powers – Mayer | Wallace
6. Difference of 6th Powers – Mayer | Wallace
7. With GCF – Mayer | Wallace

Factoring Strategy

1. Factoring Strategy – Mayer | Wallace

Reduce Rational Expressions

1. Evaluate Rational Expressions – Mayer | Wallace
2. Review Reducing Fractions – Mayer | Wallace
3. Reduce Rational Expressions – Mayer | Wallace

Solving Equations by Factoring

1. Zero Product Rule – Mayer | Wallace
2. Solve by Factoring – Mayer | Wallace
3. Must Equal Zero – Mayer | Wallace
4. Simplify First – Mayer | Wallace
5. GCF’s as Factors – Mayer | Wallace

1. Using the Formula – Adams | Mayer
2. Make Equation Equal Zero – Adams | Mayer
3. Missing Terms – Adams | Mayer
11. Functions

Evaluate Functions

1. Functions – Adams | Wallace
2. Function Notation – Adams | Wallace
3. Evaluate Function at an Expression – Adams | Wallace
4. Domain – Adams | Wallace

Exponential Equations

1. With Common Base – Adams | Wallace
2. Find a Common Base – Adams | Wallace
3. With Negative Exponents – Adams | Wallace

Logarithms

1. Convert Between Logs and Exponents – Adams | Wallace
2. Evaluate Logs – Adams | Wallace
3. Solve Log Equations – Adams | Wallace

Compound Interest

1. N Compounds a Year – Adams | Wallace
2. Continuous Interest – Adams | Wallace

Dimensional Analysis

1. One Step Conversions – Mayer | Wallace
2. Multi-Step Conversions – Mayer | Wallace
3. Dual Unit Conversions – Mayer | Wallace

### Intermediate Algebra II (Math 099)

(Pre-Requisite for MATH&141 – Pre-Calculus, MATH&147 – Finite Math)

13. Compound Inequalities

Inequalities

1. Graphing – Wallace
2. Interval Notation – Wallace
3. Solving – Wallace
4. Multiply or Divide by a Negative – Wallace
5. Tripartite – Wallace

Compound Inequalities

1. OR (two directions) – Adams | M. Whitney
2. OR (one direction) – Adams | M. Whitney
3. AND (between) – Adams | M. Whitney
4. AND (one direction) – Adams | M. Whitney
5. Special Cases – Adams | M.Whitney

Absolute Value Equations

1. Two Solutions – Wallace
2. Isolate the Absolute Value – Wallace
3. Dual Absolute Values – Wallace

Absolute Value Inequalities

1. GreatOR Than – Adams | M. Whitney
2. Less Than – Adams | M. Whitney
3. Isolate Absolute Value – Adams | M. Whitney
14. Systems of Equations

Systems

1. Introduction to Substitution – Adams | Wallace
2. Substitute an Expression – Adams | Wallace
3. Solve for a Variable – Adams | Wallace
4. Substitution Special Cases – Adams | Wallace

Systems with Three Variables

1. Simple – Adams | Wallace
2. Multiply to Eliminate – Adams | Wallace

Applications of Systems – Value

1. Value Comparison – Adams | Wallace
2. Value with Total – Adams | Wallace
3. Interest Comparison – Adams | Wallace
4. Interest with Total Principle – Adams | Wallace

Applications of Systems – Mixture with Final Amount

1. Mixture with Starting Amount – Adams | Wallace
2. Mixture with Final Amount – Adams | Wallace

Applications of Systems – Mixture

1. Value Comparison – Adams | Wallace
2. Value with Total – Adams | Wallace
3. Interest Comparison – Adams | Wallace
4. Interest with Total Principle – Adams | Wallace
5. Mixture with Starting Amount – Adams | Wallace
6. Mixture with Final Amount – Adams | Wallace

1. Variables – Adams | M. Whitney
2. Several Variables – Adams | M. Whitney
3. Using Prime Factorization – Adams | M. Whitney
4. Binomials – Adams | M. Whitney

4. Multiply Monomial by Binomial Radical Expressions – Adams | M. Whitney
7. Multiply Conjugates – Adams | M. Whitney

Rationalize Denominators

2. Quotient Rule – Adams | M. Whitney
3. Rationalize Monomial Roots in the Denominator – Adams | M. Whitney
4. Rationalize Binomial Denominators – Adams | M. Whitney

Rational Exponents

1. Convert – Adams | M. Whitney
2. Evaluate – Adams | M. Whitney
3. Simplify – Adams | M .Whitney

1. Reduce Index – Adams | M. Whitney
2. Multiply Mixed Index – Adams | M. Whitney
3. Divide Mixed Index – Adams | W. Whitney

Complex Numbers

1. Square Roots of Negatives – Adams | M. Whitney
2. Simplify Square Roots of Negatives – Adams | M. Whitney
4. Powers of “i” – Adams | Mayer
5. Multiply – Adams | M. Whitney
6. Rationalize Monomial Denominators – Adams | M. Whitney
7. Rationalize Binomial Denominators – Adams | M. Whitney

Complete the Square

1. Find c – Adams | Mayer
2. Rational Solutions – Adams | Mayer
3. Irrational and Complex Solutions – Adams | Mayer

1. Finding the Formula – Adams | Mayer
2. Using the Formula – Adams | Mayer
3. Make Equation Equal Zero – Adams | Mayer
4. Missing Terms – Adams | Mayer
16. College Algebra Topics

Multiply and Divide Rational Expressions

1. Review Multiply and Divide Fractions – Mayer | Wallace
2. Multiply or Divide Rational Expressions – Mayer | Wallace
3. Multiply and Divide Rational Expressions – Mayer | Wallace

1. Review LCD of Numbers with Prime Factorization – Mayer | Wallace
2. LCD of Monomials – Mayer | Wallace
3. LCD of Polynomials – Mayer | Wallace
4. Review Adding and Subtracting Fractions – Mayer | Wallace
5. Add and Subtract with Common Denominator – Mayer | Wallace
6. Add and Subtract with Different Denominators – Mayer | Wallace

Compound Fractions

1. Numbers – Adams | Mayer
2. Monomials – Adams | Mayer
3. Binomials – Adams | Mayer
4. Negative Exponents – Adams | Mayer

Rational Equations

1. Clear Denominator – Adams | Mayer
2. Factoring Denominator – Adams | Mayer
3. Extraneous Solutions – Adams | Mayer

1. Odd Roots – Adams | Mayer
2. Even Roots – Adams | Mayer

Equations with Exponents

1. Odd Exponents – Adams | Mayer
2. Even Exponents – Adams | Mayer
3. Isolate Exponent – Adams | Mayer
4. Rational Exponents – Adams | Mayer

Rectangle Problems

1. Area Problems – Adams | Mayer
2. Perimeter Problems – Adams | Mayer
3. Bigger – Adams | Mayer
4. Frames – Adams | Mayer
5. Percent of a Field – Adams | Mayer

Work Problems

1. One Unknown Time – Adams | Mayer
2. Two Unknown Times – Adams | Mayer

Distance and Revenue Problems

1. Simultaneous Products – Adams | Mayer
2. Revenue – Adams | Mayer
3. Distance – Adams | Mayer
4. Streams and Wind – Adams | Mayer
17. Functions

Evaluate Functions

1. Functions – Adams | Wallace
2. Function Notation – Adams | Wallace
3. Evaluate Function at an Expression – Adams | Wallace
4. Domain – Adams | Wallace

Operations on Functions

2. Subtract Functions – Adams | Wallace
3. Multiply Functions – Adams | Wallace
4. Divide Functions – Adams | Wallace
5. Composition of Functions – Adams | Wallace
6. Compose a Function with Itself – Adams | Wallace
7. Composition of Several Functions – Adams | Wallace

Inverse Functions

1. Show Functions are Inverses – Adams | Wallace
2. Finding an Inverse Function – Adams | Wallace
3. Inverse of Rational Functions – Adams | Wallace