## 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).

### Workbook 6th Edition (Blue Book)

**Introduction to Algebra (MATH 094)**

**Whole Numbers and Decimals**

- Rounding Whole Numbers – M. Whitney
- Rounding Decimals – M. Whitney
- Adding Whole Numbers – M. Whitney
- Add Decimals – M. Whitney
- Subtract Whole Numbers – M. Whitney
- Subtract Decimals – M. Whitney
- Multiply Whole Numbers – M. Whitney
- Multiply Decimals – M. Whitney
- Divide Whole Numbers – M. Whitney
- Divide Decimals – M. Whitney

**Operations with Integers**

- Integers and Absolute Value – M. Whitney
- Multiply and Divide with Different Signs – M. Whitney
- Multiply and Divide with the Same Sign – M. Whitney
- Add with the Same Sign – M. Whitney
- Add with Different Signs – M. Whitney
- Add and Subtract Several Integers – M. Whitney

**Exponents and Order of Operations**

- Exponents – M. Whitney
- Exponents on Negatives – M. Whitney
- Order of Operations – M. Whitney
- Order with Absolute Value – M. Whitney

**Simplify Algebraic Expressions**

- Substitute a Value – M. Whitney
- Is it a Solution? – M. Whitney
- Combine Like Terms – M. Whitney
- Distributive Property – M. Whitney
- Distribute and Combine Like Terms – M. Whitney
- Perimeter Problems – M. Whitney

**Prime Factorization**

- Prime and Composite – M. Whitney | Mayer
- Divisibility Tests – M. Whitney | Mayer
- Prime Factorization – M. Whitney | Mayer

**Reduce Fractions**

- Introduction to Fractions – M. Whitney | Mayer
- Convert Fractions to Decimals – M. Whitney | Mayer
- Equivalent Fractions – M. Whitney | Mayer
- Reduce with Prime Factorizations – M. Whitney | Mayer
- Reduce – M. Whitney | Mayer
- Reduce with Variables – M. Whitney | Mayer

**Multiply and Divide Fractions**

- Multiply with No Reducing – M. Whitney | Mayer
- Multiply with Reducing – M. Whitney | Mayer
- Multiply with Variables – M. Whitney | Mayer
- Multiply with Whole Numbers and Fractions – M. Whitney | Mayer
- Reciprocals – M. Whitney | Mayer
- Divide Fractions – M. Whitney | Mayer
- Divide with Variables – M. Whitney | Mayer
- Divide with Whole Numbers and Fractions – M. Whitney | Mayer

**Least Common Multiple**

- Multiples – M. Whitney | Mayer
- LCM Using Mental Math – M. Whitney | Mayer
- LCM Using Prime Factorization – M. Whitney | Mayer
- LCM with Variables – M. Whitney | Mayer

**Add and Subtract Fractions**

- With Common Denominator – M. Whitney | Mayer
- With Different Denominators – M. Whitney | Mayer
- With Different Large Denominators – M. Whitney | Mayer

**Order of Operations with Fractions**

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

**Mixed Numbers**

- Mixed Numbers and Conversions – M. Whitney | Mayer
- Add and Subtract Mixed Numbers – M. Whitney | Mayer
- Multiply and Divide Mixed Numbers – M. Whitney | Mayer

**One Step Equations**

- Addition Principle – M. Whitney
- Subtraction Principle – M. Whitney
- Division Principle – M. Whitney
- Multiplication Principle – M. Whitney

**Two Step Equations**

- Two Steps – M. Whitney
- Negative Variables – M. Whitney

**General Linear Equations**

- Variable on Both Sides – M. Whitney
- Combine Like Terms – M. Whitney
- Distirbute and Combine – M. Whitney

**Equations with Decimals and Fractions**

- Decimals – M. Whitney
- Clear Fractions with LCD – M. Whitney

**Averages**

- Mean – M. Whitney
- Missing Value – M. Whitney
- Weighted Mean – M. Whitney
- Median – M. Whitney
- Mode – M. Whitney

**Probability and Plotting Points**

- Basic Probability – M. Whitney
- Compound Events – M. Whitney
- Give Coordinate – M. Whitney
- Plot Point – M. Whitney

**Rates and Unit Rates**

- Find Rate – M. Whitney
- Find Unit Rate – M. Whitney

**Proportions and Applications**

- Solving Proportions – M. Whitney
- Proportion Applications – M. Whitney

**Introduction to Percents**

- Convert Percents and Decimals – M. Whitney
- Convert Percents and Fractions – M. Whitney

**Translate Percents and Applications**

- Translate and Solve – M. Whitney
- Discount – M. Whitney
- Sales Tax – M. Whitney
- Commission – M. Whitney
- Simple Interest – M. Whitney

**Percents as Proportions and Applications**

- Translate and Solve – M. Whitney
- General Applications – M. Whitney
- Percent Increase/Decrease – M. Whitney

**Convert Units**

- One Step Conversions –M. Whitney
- Multi-Step Conversions –M. Whitney
- Dual Unit Conversions –M. Whitney

**Area, Volume, and Temperature**

- Area of Rectangle and Parallelogram –M. Whitney
- Area of Triangle –M. Whitney
- Area of Trapezoid –M. Whitney
- Area of Circle –M. Whitney
- Composition of Shapes –M. Whitney
- Volume of a Rectangular Solid –M. Whitney
- Volume of a Cylinder –M. Whitney
- Volume of a Cone –M. Whitney
- Volume of a Sphere –M. Whitney
- Composition of Solids –M. Whitney
- Convert Temperature –M. Whitney

**Pythagorean Theorem**

- Square Roots –M. Whitney
- Find Missing Side –M. Whitney
- Applications –M. Whitney

**Introduction to Polynomials**

- Add Polynomials –M. Whitney
- Subtract Polynomials –M. Whitney
- Multiply Monomials –M. Whitney
- Multiply a Monomial by a Polynomial –M. Whitney

**Scientific Notation**

- Convert Scientific Notation to Standard Notation –M. Whitney
- 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)

**Order of Operations**

**Evaluate and Simplify Algebraic Expressions**

- Substitute a Value – Wallace
- Combine Like Terms – Wallace
- Distributive Property – Wallace
- Distribute and Combine Like Terms – Wallace

**Solve Linear Equations**

- Variable on Both Sides – Wallace
- Simplify First – Wallace
- Fractions – Wallace
- Special Cases – Wallace

**Formulas**

- Two Step Formulas – Wallace
- Multi-Step Formulas – Wallace
- Fractions and Formulas – Wallace
- Factoring the Variable – Wallace

**Word Problems**

- Number – Wallace
- Consecutive Integers – Wallace
- Consecutive Even/Odd Integers – Wallace
- Triangles – Wallace
- Perimeter – Wallace

**Age Problems**

**Distance, Rate, Time Problems**

**Slope**

- Graphing Points and Lines – Adams | Wallace
- Slope from Graph – Adams | Wallace
- Slope from Points – Adams | Wallace

**Equations of Lines**

- Slope-Intercept Equation – Adams | Wallace
- Equation Through a Point – Adams | Wallace
- Put in Slope-Intercept Form – Adams | Wallace
- Graph a Linear Equation – Adams | Wallace
- Given Two Points – Adams | Wallace

**Parallel and Perpendicular Lines**

- Slopes – Adams | Wallace
- Parallel Equations – Adams | Wallace
- Perpendicular Equations – Adams | Wallace

**Systems by Graphing**

**Systems by Substitution**

- Introduction to Substitution – Adams | Wallace
- Substitute an Expression – Adams | Wallace
- Solve for a Variable – Adams | Wallace
- Substitution Special Cases – Adams | Wallace

**Systems by Elimination**

**Exponents**

- Product Rule – Adams | Wallace
- Quotient Rule – Adams | Wallace
- Power Rules – Adams | Wallace
- Zero Exponent – Adams | Wallace
- Negative Exponets – Adams | Wallace
- Properties – Adams | Wallace

**Scientific Notation**

- Convert Scientific and Standard Notation – Adams | Wallace
- Almost Scientific Notation – Adams | Wallace
- Multiply or Divide – Adams | Wallace
- Multiply or Divide where Answer is not in Scientific Notation – Adams | Wallace
- Multiply and Divide – Adams | Wallace

**Add, Subtract, Multiply Polynomials**

- Evaluate – Adams | Wallace
- Add – Adams | Wallace
- Multiply Monomial by Polynomial – Adams | Wallace
- Multiply Binomials – Adams | Wallace
- Multiply Trinomials – Adams | Wallace
- Multiply Monomials and Binomials – Adams | Wallace
- Multiply Sum and Difference – Adams | Wallace
- Perfect Squares – Adams | Wallace

**Polynomial Long Division**

**Factor Common Factors and Grouping**

- Find a GCF – Mayer | Wallace
- Factor a GCF – Mayer | Wallace
- Binomial GCF – Mayer | Wallace
- Grouping – Mayer | Wallace
- Grouping with Change of Order – Mayer | Wallace

**Factor Trinomials**

- Reverse FOIL – Mayer | Wallace
- Two Variables – Mayer | Wallace
- With GCF – Mayer | Wallace
- Without a Leading Coefficient – Mayer | Wallace

**Factoring Tricks**

- Perfect Squares – Mayer | Wallace
- Difference of Squares – Mayer | Wallace
- Sum of Squares – Mayer | Wallace
- Sum and Difference of Cubes – Mayer | Wallace
- Difference of 4th Powers – Mayer | Wallace
- Difference of 6th Powers – Mayer | Wallace
- With GCF – Mayer | Wallace

**Factoring Strategy**

**Reduce Rational Expressions**

- Evaluate Rational Expressions – Mayer | Wallace
- Review Reducing Fractions – Mayer | Wallace
- Reduce Rational Expressions – Mayer | Wallace

**Solving Equations by Factoring**

- Zero Product Rule – Mayer | Wallace
- Solve by Factoring – Mayer | Wallace
- Must Equal Zero – Mayer | Wallace
- Simplify First – Mayer | Wallace
- GCF’s as Factors – Mayer | Wallace

**Quadratic Formula**

**Evaluate Functions**

- Functions – Adams | Wallace
- Function Notation – Adams | Wallace
- Evaluate Function at an Expression – Adams | Wallace
- Domain – Adams | Wallace

**Exponential Equations**

- With Common Base – Adams | Wallace
- Find a Common Base – Adams | Wallace
- With Negative Exponents – Adams | Wallace

**Logarithms**

- Convert Between Logs and Exponents – Adams | Wallace
- Evaluate Logs – Adams | Wallace
- Solve Log Equations – Adams | Wallace

**Compound Interest**

**Dimensional Analysis**

**Intermediate Algebra II (Math 099)**

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

**Inequalities**

- Graphing – Wallace
- Interval Notation – Wallace
- Solving – Wallace
- Multiply or Divide by a Negative – Wallace
- Tripartite – Wallace

**Compound Inequalities**

- OR (two directions) – Adams | M. Whitney
- OR (one direction) – Adams | M. Whitney
- AND (between) – Adams | M. Whitney
- AND (one direction) – Adams | M. Whitney
- Special Cases – Adams | M.Whitney

**Absolute Value Equations**

**Absolute Value Inequalities**

- GreatOR Than – Adams | M. Whitney
- Less Than – Adams | M. Whitney
- Isolate Absolute Value – Adams | M. Whitney

**Systems**

- Introduction to Substitution – Adams | Wallace
- Substitute an Expression – Adams | Wallace
- Solve for a Variable – Adams | Wallace
- Substitution Special Cases – Adams | Wallace
- Addition/Elimination – Adams | Wallace
- Addition/Elimination and Multiplying an Equation – Adams | Wallace
- Addition/Elimination and Multiplying Both Equations – Adams | Wallace
- Addition/Elimination Special Cases – Adams | Wallace

**Systems with Three Variables**

**Applications of Systems – Value**

- Value Comparison – Adams | Wallace
- Value with Total – Adams | Wallace
- Interest Comparison – Adams | Wallace
- Interest with Total Principle – Adams | Wallace

**Applications of Systems – Mixture with Final Amount**

**Applications of Systems – Mixture**

**Simplify Radicals**

- Variables – Adams | M. Whitney
- Several Variables – Adams | M. Whitney
- Using Prime Factorization – Adams | M. Whitney
- Binomials – Adams | M. Whitney

**Add, Subtract, and Multiply Radicals**

- Add Like Radicals – Adams | M. Whitney
- Add with Simplifying – Adams | M. Whitney
- Multiply Monomial Radical Expressions – Adams | M. Whitney
- Multiply Monomial by Binomial Radical Expressions – Adams | M. Whitney
- Multiply Binomial Radical Expressions – Adams | M. Whitney
- Square Binomial Radical Expression – Adams | M. Whitney
- Multiply Conjugates – Adams | M. Whitney

**Rationalize Denominators**

- Simplifying with Radicals – Adams | M. Whitney
- Quotient Rule – Adams | M. Whitney
- Rationalize Monomial Roots in the Denominator – Adams | M. Whitney
- Rationalize Binomial Denominators – Adams | M. Whitney

**Rational Exponents**

- Convert – Adams | M. Whitney
- Evaluate – Adams | M. Whitney
- Simplify – Adams | M .Whitney

**Radical of Mixed Index**

- Reduce Index – Adams | M. Whitney
- Multiply Mixed Index – Adams | M. Whitney
- Divide Mixed Index – Adams | W. Whitney

**Complex Numbers**

- Square Roots of Negatives – Adams | M. Whitney
- Simplify Square Roots of Negatives – Adams | M. Whitney
- Add and Subtract – Adams | M. Whitney
- Powers of “i” – Adams | Mayer
- Multiply – Adams | M. Whitney
- Rationalize Monomial Denominators – Adams | M. Whitney
- Rationalize Binomial Denominators – Adams | M. Whitney

**Complete the Square**

- Find c – Adams | Mayer
- Rational Solutions – Adams | Mayer
- Irrational and Complex Solutions – Adams | Mayer

**Quadratic Formula**

**Multiply and Divide Rational Expressions**

- Review Multiply and Divide Fractions – Mayer | Wallace
- Multiply or Divide Rational Expressions – Mayer | Wallace
- Multiply and Divide Rational Expressions – Mayer | Wallace

**Add and Subtract Rational Expressions**

- Review LCD of Numbers with Prime Factorization – Mayer | Wallace
- LCD of Monomials – Mayer | Wallace
- LCD of Polynomials – Mayer | Wallace
- Review Adding and Subtracting Fractions – Mayer | Wallace
- Add and Subtract with Common Denominator – Mayer | Wallace
- Add and Subtract with Different Denominators – Mayer | Wallace

**Compound Fractions**

- Numbers – Adams | Mayer
- Monomials – Adams | Mayer
- Binomials – Adams | Mayer
- Negative Exponents – Adams | Mayer

**Rational Equations**

- Clear Denominator – Adams | Mayer
- Factoring Denominator – Adams | Mayer
- Extraneous Solutions – Adams | Mayer

**Equations with Radicals**

**Equations with Exponents**

- Odd Exponents – Adams | Mayer
- Even Exponents – Adams | Mayer
- Isolate Exponent – Adams | Mayer
- Rational Exponents – Adams | Mayer

**Rectangle Problems**

- Area Problems – Adams | Mayer
- Perimeter Problems – Adams | Mayer
- Bigger – Adams | Mayer
- Frames – Adams | Mayer
- Percent of a Field – Adams | Mayer

**Work Problems**

**Distance and Revenue Problems**

**Evaluate Functions**

- Functions – Adams | Wallace
- Function Notation – Adams | Wallace
- Evaluate Function at an Expression – Adams | Wallace
- Domain – Adams | Wallace

**Operations on Functions**

- Add Functions – Adams | Wallace
- Subtract Functions – Adams | Wallace
- Multiply Functions – Adams | Wallace
- Divide Functions – Adams | Wallace
- Composition of Functions – Adams | Wallace
- Compose a Function with Itself – Adams | Wallace
- Composition of Several Functions – Adams | Wallace

**Inverse Functions**

- Show Functions are Inverses – Adams | Wallace
- Finding an Inverse Function – Adams | Wallace
- Inverse of Rational Functions – Adams | Wallace

**Graphs of Quadratic Functions**