1. Basic Arithmetic

6hr

1.1.1. Intro to Rational Numbers7 min

1.1.2. Example5 min

1.1.3. Practice Level 13 min

1.1.4. Example7 min

1.1.5. Practice Level 25 min

1.1.6. Example5 min

1.1.7. Practice Level 37 min

1.2.1. Adding & Subtracting Integers & Decimals5 min

1.2.2. Example4 min

1.2.3. Practice Level 13 min

1.2.4. Multiplying & Dividing Integers & Decimals9 min

1.2.5. Practice Level 13 min

1.2.6. Practice Level 22 min

1.2.7. Practice Level 35 min

1.3.1. The Real Number System4 min

1.4.1. Adding & Subtracting Fractions4 min

1.4.2. Practice Level 17 min

1.4.3. Practice Level 12 min

1.4.4. Multiplying & Dividing Fractions5 min

1.4.5. Practice Level 13 min

1.4.6. Practice Level 15 min

1.4.7. Practice Level 26 min

1.5.1. Representing Numbers as Fractions, Decimals, and Percentages9 min

1.5.2. Practice Level 13 min

1.5.3. Converting Between Fractions, Decimals, and Percentages3 min

1.5.4. Example5 min

1.5.5. Practice Level 23 min

1.5.6. Practice Level 35 min

1.6.1. Adding & Subtracting Mixed Numbers6 min

1.6.2. Practice Level 12 min

1.6.3. Practice Level 11 min

1.6.4. Practice Level 12 min

1.6.5. Practice Level 12 min

1.6.6. Example2 min

1.6.7. Practice Level 247 sec

1.6.8. Practice Level 247 sec

1.6.9. Practice Level 232 sec

1.7.1. Multiplying & Dividing Mixed Numbers5 min

1.7.2. Practice Level 12 min

1.7.3. Practice Level 22 min

1.7.4. Practice Level 22 min

1.8.1. Powers & Exponents9 min

1.8.2. Practice Level 13 min

1.8.3. Practice Level 12 min

1.8.4. Practice Level 23 min

1.8.5. Practice Level 33 min

1.8.6. Practice Level 3 (Financial Application)8 min

1.9.1. Exponent Rules4 min

1.10.1. Exponent Rules for Fractions & Products5 min

1.10.2. Example3 min

1.10.3. Practice Level 12 min

1.10.4. Practice Level 12 min

1.10.5. Practice Level 23 min

1.10.6. Practice Level 34 min

1.11.1. Exponent Product Rule for Multiplying Powers3 min

1.11.2. Example2 min

1.11.3. Practice Level 13 min

1.11.4. Practice Level 25 min

1.12.1. Exponent Quotient Rule for Dividing Powers3 min

1.12.2. Example2 min

1.12.3. Practice Level 14 min

1.12.4. Practice Level 24 min

1.13.1. Exponent Power of a Power Rule3 min

1.13.2. Example56 sec

1.13.3. Practice Level 14 min

1.13.4. Practice Level 24 min

1.13.5. Example (⭐Important!)4 min

1.13.6. Practice Level 34 min

1.14.1. Practice Level 15 min

1.14.2. Practice Level 23 min

1.14.3. Practice Level 37 min

1.15.1. Investigating Integer Exponents6 min

1.15.2. Integer Exponents1 min

1.15.3. Practice1 min

1.15.4. Practice4 min

1.15.5. Practice3 min

1.16.1. Roots & Radicals6 min

1.16.2. Square Roots of Perfect Squares4 min

1.16.3. Practice Level 15 min

1.16.4. Example4 min

1.16.5. Practice Level 260 sec

1.16.6. Practice Level 236 sec

1.16.7. Practice Level 248 sec

1.16.8. Practice Level 34 min

1.17.1. Radical Expressions5 min

1.17.2. Multiplying Radicals6 min

1.17.3. Example2 min

1.17.4. Practice Level 12 min

1.17.5. Practice Level 25 min

1.17.6. Practice Level 34 min

1.18.1. Rationalizing the Denominator5 min

1.18.2. Simplifying Radicals7 min

1.18.3. Example4 min

1.18.4. Practice Level 12 min

1.18.5. Practice Level 25 min

1.18.6. Practice Level 33 min

2. Basic Algebra

4hr

2.1.1. The Language of Algebra8 min

2.1.2. Practice2 min

2.1.3. Practice3 min

2.1.4. Polynomials6 min

2.1.5. Practice2 min

2.1.6. Practice1 min

2.1.7. Monomials, Binomials, Trinomials2 min

2.1.8. Practice

2.1.9. Degree of a Polynomial3 min

2.1.10. Practice

2.2.1. The Meaning of

x

,

x^2

,

x^3

, and

\sqrt x

3 min

2.2.2. Practice Level 13 min

2.3.1. Adding & Subtracting Polynomials12 min

2.3.2. Practice Level 1

2.3.3. Practice Level 1

2.3.4. Algebra Tiles3 min

2.3.5. Example4 min

2.3.6. Practice Level 25 min

2.3.7. Practice Level 27 min

2.3.8. Practice Level 35 min

2.4.1. Multiplying a Polynomial by a Monomial10 min

2.4.2. Example3 min

2.4.3. Practice Level 12 min

2.4.4. Practice Level 25 min

2.4.5. Practice Level 37 min

2.5.1. Binomial

\times

Binomial7 min

2.5.2. Using Algebra Tiles3 min

2.5.3. Example7 min

2.5.4. Practice Level 15 min

2.5.5. Practice Level 29 min

2.5.6. Practice Level 38 min

2.6.1. Binomial

\times

Trinomial4 min

2.6.2. Example3 min

2.6.3. Practice Level 13 min

2.6.4. Practice Level 1

2.6.5. Practice Level 2

2.6.6. Practice Level 3

2.7.1. Dividng a Polynomial by a Monomial6 min

2.7.2. Practice Level 11 min

2.7.3. Practice Level 23 min

2.8.1. Practice Level 17 min

2.8.2. Practice Level 24 min

2.8.3. Practice Level 37 min

2.9.1. Factoring a Difference of Squares3 min

2.9.2. Example2 min

2.9.3. Practice Level 11 min

2.9.4. Practice Level 22 min

2.9.5. Practice Level 34 min

2.9.6. Extra Difference of Squares Drills 💪

2.10.1. Factoring 5 min

2.10.2. Factoring a Difference & Sum of Cubes3 min

2.10.3. Example2 min

2.10.4. Practice Level 146 sec

2.10.5. Practice Level 22 min

2.10.6. Practice Level 32 min

2.11.1. Factoring Perfect Square Trinomials4 min

2.11.2. Example3 min

2.11.3. Practice Level 12 min

2.11.4. Practice Level 21 min

2.11.5. Practice Level 34 min

2.11.6. Extra Perfect Square Trinomial Factoring Drills 💪8 min

3. Linear Functions/Equations

5hr

3.1.1. Relations5 min

3.1.2. Review: Graphing Points3 min

3.1.3. Example7 min

3.1.4. Practice5 min

3.2.1. Functions5 min

3.2.2. Domain and Range of a Function4 min

3.2.3. Example3 min

3.2.4. Practice (Level 1)2 min

3.2.5. Practice (Level 2)39 sec

3.2.6. Practice (Level 3)1 min

3.3.1. Domain2 min

3.3.2. Range2 min

3.3.3. Example2 min

3.3.4. Practice 40 sec

3.3.5. Practice 3 min

3.4.1. Function Notation7 min

3.4.2. Example3 min

3.4.3. Practice (Level 1)2 min

3.4.4. Practice (Level 2)1 min

3.5.1. Linear Equations4 min

3.5.2. Practice Level 113 min

3.5.3. Practice Level 27 min

3.5.4. Parallel & Perpendicular Lines7 min

3.5.5. Practice Level 35 min

3.6.1. Equation of a Line4 min

3.6.2. Example5 min

3.6.3. Practice4 min

3.6.4. Horizontal & Vertical Lines4 min

3.6.5. Practice2 min

3.7.1. Slope of a Line8 min

3.7.2. Practice Level 12 min

3.7.3. Finding the Slope of a Line8 min

3.7.4. Practice Level 24 min

3.7.5. Practice Level 36 min

3.7.6. Example4 min

3.7.7. Practice Level 33 min

3.8.1. Different Forms of the Equation of a Line4 min

3.8.2. Example9 min

3.8.3. Practice Level 14 min

3.8.4. Practice Level 23 min

3.8.5. Practice Level 213 min

3.8.6. Practice Level 34 min

3.9.1. Finding the Equation of a Line4 min

3.9.2. Practice Level 27 min

3.9.3. Practice Level 35 min

3.10.1. Parallel & Perpendicular Lines7 min

3.10.2. Practice Level 25 min

3.10.3. Practice Level 24 min

3.11.1. Graphing Linear Equations - Table of Values3 min

3.11.2. Graphing Linear Equations - Slope y-Intercept Form5 min

3.11.3. Practice6 min

3.11.4. Graphing Linear Equations - Using Intercepts4 min

3.11.5. Practice5 min

3.11.6. Practice4 min

3.12.1. Solving Equations2 min

3.12.2. Example8 min

3.12.3. Practice2 min

3.13.1. Solving Multi-Step Equations1 min

3.13.2. Example7 min

3.13.3. Practice Level 16 min

3.13.4. Example6 min

3.13.5. Practice Level 13 min

3.13.6. Example5 min

3.13.7. Practice Level 24 min

3.13.8. Example7 min

3.13.9. Practice Level 26 min

3.14.1. Intro to Systems of Linear Equations (Simultaneous Equations)2 min

3.14.2. Solving Graphically7 min

3.14.3. Example2 min

3.14.4. Practice Level 12 min

3.14.5. Practice Level 22 min

3.14.6. Practice Level 22 min

4. Systems of Linear Equations/Inequalities

4hr

4.1.1. Intro to Systems of Linear Equations (Simultaneous Equations)3 min

4.2.1. Solving Graphically7 min

4.2.2. Example2 min

4.2.3. Practice Level 12 min

4.2.4. Practice Level 22 min

4.2.5. Practice Level 22 min

4.3.1. Solving by Substitution12 min

4.3.2. Example5 min

4.3.3. Practice Level 12 min

4.3.4. Practice Level 25 min

4.3.5. Practice Level 37 min

4.4.1. Solving by Simple Elimination12 min

4.4.2. Example3 min

4.4.3. Practice Level 13 min

4.4.4. Practice Level 22 min

4.4.5. Practice Level 24 min

4.5.1. Solving by Multiplication before Elimination8 min

4.5.2. Example4 min

4.5.3. Example4 min

4.5.4. Practice Level 14 min

4.5.5. Practice Level 24 min

4.5.6. Practice5 min

4.6.1. No Solution or Many Solutions5 min

4.6.2. Example 1 7 min

4.6.3. Example 2 4 min

4.6.4. Practice4 min

4.7.1. Solving Inequalities2 min

4.7.2. Example (Single Step Inequalities)5 min

4.7.3. Practice Level 12 min

4.7.4. Practice Level 13 min

4.7.5. Example (Multi-Step Inequalities)3 min

4.7.6. Practice Level 22 min

4.7.7. Practice Level 33 min

4.7.8. Practice Level 33 min

4.8.1. Solving Inequalities2 min

4.8.2. Example (Single Step Inequalities)5 min

4.8.3. Practice Level 12 min

4.8.4. Practice Level 13 min

4.8.5. Example (Multi-Step Inequalities)3 min

4.8.6. Practice Level 22 min

4.8.7. Practice Level 33 min

4.8.8. Practice Level 33 min

4.9.1. Solving Linear Inequalities in Two Variables5 min

4.9.2. Example5 min

4.9.3. Practice Level 13 min

4.9.4. Practice Level 36 min

4.9.5. Solving Quadratic Inequalities in Two Variables5 min

4.9.6. Example3 min

4.9.7. Practice Level 13 min

4.9.8. Practice Level 23 min

4.10.1. Solving Quadratic Inequalities in One Variable7 min

4.10.2. Example4 min

4.10.3. Practice Level 13 min

4.10.4. Practice Level 23 min

4.10.5. Practice Level 3

4.11.1. Solving Polynomial Inequalities Using a Graph5 min

4.11.2. Example2 min

4.11.3. Practice Level 1

4.11.4. Practice Level 2

4.11.5. Practice Level 32 min

4.12.1. Solving Rational Inequalities 5 min

4.12.2. Example5 min

4.12.3. Practice Level 11 min

4.12.4. Practice Level 2

4.12.5. Practice Level 3

5. Quadratic Functions/Equations

7hr

5.1.1. Quadratic Relations13 min

5.1.2. Example7 min

5.1.3. Practice Level 15 min

5.1.4. Practice Level 25 min

5.1.5. Practice Level 37 min

5.2.1. Properties of Quadratic Graphs5 min

5.2.2. Example9 min

5.2.3. Practice Level 13 min

5.2.4. Practice Level 13 min

5.2.5. Practice Level 23 min

5.2.6. Practice Level 37 min

5.2.7. Practice Level 38 min

5.3.1. Factored Form of a Quadratic Equation9 min

5.3.2. Example8 min

5.3.3. Practice Level 14 min

5.3.4. Practice Level 27 min

5.3.5. Practice Level 35 min

5.3.6. Summary - Factored Form of a Quadratic Equation

5.4.1. Factoring Simple Trinomials

y=x^2+bx+c

5 min

5.4.2. Practice Level 16 min

5.4.3. Example11 min

5.4.4. Practice Level 25 min

5.4.5. Practice Level 37 min

5.4.6. Practice Level 35 min

5.4.7. Extra Simple Trinomial Factoring Drills 💪

5.5.1. Factoring Harder Trinomials

y=ax^2+bx+c

4 min

5.5.2. Example5 min

5.5.3. Practice Level 14 min

5.5.4. Practice Level 22 min

5.5.5. Decompose Strategy (Easier but Longer Method❗)5 min

5.5.6. Practice Level 34 min

5.5.7. Practice Level 38 min

5.5.8. Extra Trinomial Factoring Drills 💪

5.6.1. Completing the Square (

x^2+bx+c

)4 min

5.6.2. Example4 min

5.6.3. Practice Level 15 min

5.6.4. Practice Level 25 min

5.6.5. Practice Level 34 min

5.6.6. Extra Completing the Square Practice Drill 💪

5.7.1. Completing the Square (

ax^2+bx+c

)3 min

5.7.2. Example4 min

5.7.3. Practice Level 14 min

5.7.4. Practice Level 25 min

5.7.5. Practice Level 37 min

5.7.6. Extra Completing the Square Practice Drill 💪

5.8.1. Solving Quadratic Equations by Factoring2 min

5.8.2. Example5 min

5.8.3. Practice Level 14 min

5.8.4. Example3 min

5.8.5. Example4 min

5.8.6. Practice Level 27 min

5.8.7. Practice Level 311 min

5.8.8. Practice Level 37 min

5.9.1. Solving Quadratic Equations by Completing the Square4 min

5.9.2. Example4 min

5.9.3. Practice Level 14 min

5.9.4. Practice Level 25 min

5.9.5. Practice Level 38 min

5.9.6. Practice Level 34 min

5.10.1. Quadratic Formula7 min

5.10.2. Example6 min

5.10.3. Practice Level 14 min

5.10.4. Practice Level 23 min

5.10.5. Practice Level 25 min

5.10.6. Practice Level 33 min

5.11.1. Solutions From the Quadratic Formula3 min

5.11.2. Practice Level 14 min

5.11.3. Practice Level 24 min

5.11.4. Practice Level 33 min

5.12.1. Solving Quadratic Equations4 min

5.12.2. Practice Level 25 min

5.12.3. Practice Level 33 min

5.12.4. Practice Level 33 min

5.13.1. Rational Expressions & Functions7 min

5.13.2. Practice Level 13 min

5.13.3. Practice Level 24 min

5.13.4. Practice Level 25 min

5.13.5. Practice Level 34 min

5.14.1. Multiplying & Dividing Rational Expressions6 min

5.14.2. Practice Level 13 min

5.14.3. Practice Level 26 min

5.14.4. Practice Level 35 min

5.15.1. Adding and Subtracting Rational Expressions5 min

5.15.2. Practice Level 14 min

5.15.3. Practice Level 1

5.15.4. Practice Level 25 min

5.15.5. Practice Level 34 min

5.16.1. Solving Rational Equations3 min

5.16.2. Example5 min

5.16.3. Practice Level 152 sec

5.16.4. Practice Level 26 min

5.17.1. Example3 min

5.17.2. Practice Level 11 min

5.17.3. Practice Level 22 min

5.18.1. Graphs of Rational Functions4 min

5.18.2. Example3 min

5.18.3. Example2 min

5.18.4. Example3 min

5.18.5. Practice Level 12 min

5.18.6. Practice Level 22 min

5.18.7. Practice Level 3

6. Exponential and Logarithmic Functions/Equations

2.1hr

6.1.1. Investigating Integer Exponents6 min

6.1.2. Integer Exponents1 min

6.1.3. Practice1 min

6.1.4. Practice4 min

6.1.5. Practice3 min

6.2.1. Investigating Rational Exponents5 min

6.2.2. Rational Exponents2 min

6.2.3. Practice Level 19 min

6.2.4. Practice Level 24 min

6.2.5. Practice Level 34 min

6.3.1. Exponent Rules4 min

6.3.2. Example5 min

6.3.3. Practice Level 14 min

6.3.4. Practice Level 25 min

6.3.5. Practice Level 23 min

6.3.6. Practice Level 32 min

6.4.1. Solving Exponential Equations1 min

6.4.2. Example2 min

6.4.3. Practice Level 1

6.4.4. Practice Level 2

6.4.5. Practice Level 3

6.5.1. Characteristics of Exponential Functions2 min

6.5.2. Example53 sec

6.5.3. Practice Level 12 min

6.5.4. Practice Level 22 min

6.6.1. Applications of Exponential Functions1 min

6.6.2. Example2 min

6.6.3. Practice Level 14 min

6.6.4. Practice Level 25 min

6.6.5. Practice Level 33 min

6.7.1. Basics of Logarithms - Natural Logarithms3 min

6.7.2. Example3 min

6.7.3. Practice Level 1

6.7.4. Practice Level 2

6.7.5. Practice Level 3

6.8.1. Logarithm Laws4 min

6.8.2. Example2 min

6.8.3. Example 2 min

6.8.4. Practice Level 1

6.8.5. Practice Level 2

6.8.6. Practice Level 32 min

6.9.1. Solving Logarithmic Equations2 min

6.9.2. Example2 min

6.9.3. Practice Level 1

6.9.4. Practice Level 22 min

6.9.5. Practice Level 31 min

6.10.1. Using Logarithms to Solve Exponential Equations1 min

6.10.2. Example58 sec

6.10.3. Practice Level 1

6.10.4. Practice Level 2

6.10.5. Practice Level 3

6.11.1. Characteristics of Logarithmic Functions2 min

6.11.2. Example57 sec

6.11.3. Practice Level 1

6.11.4. Practice Level 2

6.11.5. Practice Level 3

6.12.1. Semi Log Graphs2 min

6.12.2. Practice: semi-log graph6 min

6.13.1. Applications of Logarithmic Functions30 sec

6.13.2. Example

6.13.3. Practice Level 1

6.13.4. Practice Level 2

6.13.5. Practice Level 3

7. Geometric Series

2.2hr

7.1.1. Sigma Notation4 min

7.2.1. Sequence5 min

7.2.2. Arithmetic Sequence6 min

7.2.3. Practice Level 13 min

7.2.4. Practice Level 13 min

7.2.5. Practice Level 22 min

7.2.6. Practice Level 37 min

7.2.7. Summary - Arithmetic Sequence

7.3.1. Geometric Sequences8 min

7.3.2. Example3 min

7.3.3. Practice Level 13 min

7.3.4. Practice Level 24 min

7.3.5. Practice Level 37 min

7.3.6. Summary - Geometric Sequence

7.4.1. Recursive Sequences9 min

7.4.2. Example6 min

7.4.3. Practice Level 15 min

7.4.4. Practice Level 23 min

7.4.5. Practice Level 33 min

7.5.1. Arithmetic Series9 min

7.5.2. Example3 min

7.5.3. Practice Level 13 min

7.5.4. Practice Level 25 min

7.5.5. Practice Level 34 min

7.5.6. Summary - Arithmetic Series

7.6.1. Geometric Series6 min

7.6.2. Example5 min

7.6.3. Practice Level 13 min

7.6.4. Practice Level 27 min

7.6.5. Practice Level 34 min

7.6.6. Summary - Geometric Series

8. Time Value of Money - Simple Interest/Compound Interest

2.3hr

8.1.1. Simple Interest8 min

8.1.2. Example3 min

8.1.3. Practice Level 13 min

8.1.4. Practice Level 23 min

8.1.5. Practice Level 34 min

8.2.1. Compound Interest9 min

8.2.2. Example5 min

8.2.3. Example4 min

8.2.4. Practice Level 13 min

8.2.5. Practice Level 23 min

8.2.6. Practice Level 36 min

8.3.1. Present Value3 min

8.3.2. Example: Net Present Value6 min

8.3.3. Concept Clarifier: Net Present Value (NPV) 5 min

8.3.4. Practice: Present Value1 min

8.4.1. Time Value of Money27 min

8.4.2. Concept Clarifier: Annuity Due (Future Value)8 min

8.5.1. Investments and Loans with Regular Payments8 min

8.5.2. Example5 min

8.5.3. Example5 min

8.5.4. Practice Level 14 min

8.5.5. Practice Level 1 (Spreadsheets)

8.5.6. Practice Level 24 min

8.5.7. Practice Level 38 min

9. Differential Equations (Possibly Extra)

1.2hr

9.1.1. Differential Equations8 min

9.1.2. Direction Fields/Slope Fields5 min

9.1.3. Practice Question: DE Solution Graphs3 min

9.2.1. Separable First Order Differential Equations3 min

9.2.2. Practice (separable DE)2 min

9.2.3. Practice (IVP)3 min

9.2.4. Practice (IVP)3 min

9.2.5. Practice (IVP*)5 min

9.2.6. Practice (separable DE)1 min

9.3.1. Linear First Order Differential Equations7 min

9.3.2. Practice (integrating factor)1 min

9.3.3. Practice (linear DE)3 min

9.3.4. Practice (IVP)3 min

9.3.5. Practice (IVP)4 min

9.4.1. Exponential Growth and Decay3 min

9.4.2. Example4 min

9.4.3. Example5 min

9.4.4. Practice5 min

9.4.5. Practice (population)3 min

9.4.6. Practice (population)4 min

9.5.1. Second-Order Reducible DE

9.5.2. Practice: Dependent Variable Missing

9.5.3. Practice: Independent Variable Missing

9.Q. DE Quiz4 Qns

Mock Exam

ME.1. Final Exam - Mock Assessment25 Qns

QMS 110

Course Overview

1. Basic Arithmetic

2. Basic Algebra

3. Linear Functions/Equations

4. Systems of Linear Equations/Inequalities

5. Quadratic Functions/Equations

6. Exponential and Logarithmic Functions/Equations

7. Geometric Series

8. Time Value of Money - Simple Interest/Compound Interest

9. Differential Equations (Possibly Extra)

Mock Exam

I Welcome

Free Activity

Welcome to QMS 110!

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