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Lecture Videos

Elementary and Intermediate Algebra

 

  Chapter 1 Introduction to Algebraic Expressions

  Chapter 2 Equations, Inequalities, and Problem Solving

  Chapter 3 Introduction to Graphing

  Chapter 4 Polynomials

  Chapter 5 Polynomials and Factoring

  Chapter 6 Rational Expressions and Equations

  Chapter 7 Functions and Graphs

  Chapter 8 Systems of Linear Equations and Problem Solving

  Chapter 9 Inequalities and Problem Solving

  Chapter 10 Exponents and Radicals

  Chapter 11 Quadratic Functions and Equations

  Chapter 12 Exponential and Logarithmic Functions

  Chapter 13 Conic Sections

  Chapter 14 Sequences, Series, and the Binomial Theorem

  Chapter  R  Elementary Algebra Review

 

 

Chapter 1 Introduction to Algebraic Expressions

Video Presentation Practice Exercises
1.1  Introduction to Algebra

1.2  The Commutative, Associative, and Distributive Laws
1.3  Fraction Notation
1.4  Positive and Negative Real Numbers
1.5  Addition of Real Numbers
1.6  Subtraction of Real Numbers
1.7  Multiplication and Division of Real Numbers
1.8  Exponential Notation and Order of Operations
Chapter Test (Page 75): 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44
 

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Chapter 2 Equations, Inequalities, and Problem Solving

Video Presentation

Practice Exercises

2.1 Solving Equations

2.2 Using the Principles Together

2.3 Formulas

2.4 Applications with Percent

2.5 Problem Solving

2.6 Solving Inequalities

2.7 Solving Applications with Inequalities

Chapter Test (Page 144): 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36

 

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Chapter 3 Introduction to Graphing

Video Presentation

Practice Exercises

3.1 Reading Graphs, Plotting Points, and Scaling Graphs

3.2 Graphing Linear Equations

3.3 Graphing and Intercepts

3.4 Rates

3.5 Slope

3.6 Slope-Intercept Form

3.7 Point-Slope Form

Chapter Test (Page 222-223): 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30

 

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Chapter 4: Polynomials

Video Presentation

Practice Exercises

4.1 Exponents and Their Properties

4.2 Negative Exponents and Scientific Notation

4.3 Polynomials

4.4 Addition and Subtraction of Polynomials

4.5 Multiplication of Polynomials

4.6 Special Products

4.7 Polynomials in Several Variables

4.8 Division of Polynomials

Chapter Test (Page 299) 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45

 

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Chapter 5: Polynomials and Factoring

Video Presentation

Practice Exercises

5.1 Introduction to Factoring

5.2 Factoring Trinomials of the Type x + bx + c

5.3 Factoring Trinomials of the Type ax + bx + c

5.4 Factoring Perfect-Square Trinomials and Differences of Squares

5.5 Factoring Sums or Differences of Cubes

5.6 Factoring: A General Strategy

5.7 Solving Polynomial Equations by Factoring

5.8 Solving Applications

Chapter Test (Page 371-372): 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 29 30 31 32
 

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Chapter 6: Rational Expressions and Equations

Video Presentation

Practice Exercises

6.1 Rational Expressions

6.2 Multiplication and Division

6.3 Addition, Subtraction, and Least Common Denominators

6.4 Addition and Subtraction with Unlike Denominators

6.5 Complex Rational Expressions

6.6 Solving Rational Equations

6.7 Applications Using Rational Equations and Proportions

Chapter Test (Page 440-441): 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27
 

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Chapter 7: Functions and Graphs

Video Presentation

Practice Exercises

7.1 Introduction to Functions

7.2 Domain and Range

7.3 Graphs of Functions

7.4 The Algebra of Functions

7.5 Formulas, Applications, and Variation

Chapter Test (Page 501-502): 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27
 

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Chapter 8: Systems of Linear Equations and Problem Solving

Video Presentation

Practice Exercises

8.1 Systems of Equations in Two Variables

8.2 Solving by Substitution or Elimination

8.3 Solving Applications: Systems of Two Equations

8.4 Systems of Equations in Three Variables

8.5 Solving Applications: Systems of Three Equations

8.6 Elimination Using Matrices

8.7 Determinants and Cramer’s Rule

8.8 Business and Economics Applications

Chapter Test (Page 572-573): 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
 

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Chapter 9: Inequalities and Problem Solving

Video Presentation

Practice Exercises

9.1 Interval Notation and Applications

9.2 Intersections, Unions, and Compound Inequalities

9.3 Absolute-Value Equations and Inequalities

9.4 Inequalities in Two Variables

9.5 Applications Using Linear Programming

Chapter Test (Page 629): 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31
 

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Chapter 10: Exponents and Radicals

Video Presentation

Practice Exercises

10.1 Radical Expressions and Functions

10.2 Rational Numbers as Exponents

10.3 Multiplying Radical Expressions

10.4 Dividing Radical Expressions

10.5 Expressions Containing Several Radical Terms

10.6 Solving Radical Equations

10.7 Geometric Applications

10.8 The Complex Numbers

Chapter 10 (Page 700): 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33
 

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Chapter 11: Quadratic Functions and Equations

Video Presentation

Practice Exercises

11.1 Quadratic Equations

11.2 The Quadratic Formula

11.3 Applications Involving Quadratic Equations

11.4 Studying Solutions of Quadratic Equations

11.5 Equations Reducible to Quadratic

11.6 Quadratic Functions and Their Graphs

11.7 More About Graphing Quadratic Functions

11.8 Problem Solving and Quadratic Functions

11.9 Polynomial and Rational Inequalities

Chapter Test (Page 780): 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27
 

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Chapter 12: Exponential and Logarithmic Functions

Video Presentation

Practice Exercises

12.1 Composite and Inverse Functions

12.2 Exponential Functions

12.3 Logarithmic Functions

12.4 Properties of Logarithmic Functions

12.5 Common and Natural Logarithms

12.6 Solving Exponential and Logarithmic Equations

12.7 Applications of Exponential and Logarithmic Functions

Chapter Test (Page 849): 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43
 

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Chapter 13: Conic Sections

Video Presentation

Practice Exercises

13.1 Conic Sections: Parabolas and Circles

13.2 Conic Sections: Ellipses

13.3 Conic Sections: Hyperbolas

13.4 Nonlinear Systems of Equations

Chapter Test (Page 892): 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21
 

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Chapter 14: Sequences, Series, and the Binomial Theorem

Video Presentation

Practice Exercises

14.1 Sequences and Series

14.2 Arithmetic Sequences and Series

14.3 Geometric Sequences and Series

14.4 The Binomial Theorem

Chapter Test (Page 934): 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25

 

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Chapter R: Elementary Algebra Review

Video Presentation

Quick Check Exercises

R.1 Introduction to Algebraic Expressions

R.2 Equations, Inequalities, and Problem Solving
R.3 Introduction to Graphing
R.4 Polynomials
R.5 Polynomials and Factoring
R.6 Rational Expressions and Equations

 

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If you have question about this page contact Ahmad Shafiee at (361) 698-1361 or ashafiee@delmare.du