Elementary Algebra: Graphs and Authentic Applications

Note: Each chapter concludes with Chapter Summary, Key Points of the Chapter, Chapter Review Exercises, and Chapter Practice Tests.

  

Chapter 1:  Introduction to Modeling

1.1 Variables and Constants

1.2 Scattergrams

1.3 Exact Linear Relationships

1.4 Approximate Linear Relationships

 

Chapter 2:  Operations and Expressions

2.1 Expressions

2.2  Operations with Fractions

2.3 Adding Real Numbers

2.4 Change in a Quantity and Subtracting Real Numbers

2.5 Ratios, Percents, and Multiplying and Dividing Real Numbers

2.6 Exponents and Order of Operations

 

Chapter 3:  Using Slope to Graph Linear Equations

3.1 Graphing Equations of the Form y = mx + b

3.2  Graphing Linear Models; Unit Analysis

3.3 Slope of a Line

3.4 Using Slope to Graph Lines

3.5 Rate of Change

 

Chapter 4:  Simplifying Expressions and Solving Equations

4.1 Commutative, Associative, and Distributive Laws

4.2 Simplifying Expressions

4.3 Solving Linear Equations in One Variable

4.4 solving More Linear Equations in One Variable

4.5 comparing Expressions and Equations

4.6 Formulas

 

Chapter 5:  Linear Equations in Two Variables

5.1 Graphing Linear Equations

5.2 Finding Linear Equations

5.3  Finding Equations of Linear Models

5.4 using Linear Equations to make Estimates and Predications

5.5  Solving Linear Inequalities in One Variable

 

Chapter 6:  Systems of Linear Equations

6.1 Using Graphs and Tables to Solve Systems

6.2 Using Substitution to Solve Systems

6.3 Using Elimination to Solve Systems

6.4 Using Systems to Model Data

6.5 Perimeter, Value, Interest, and Mixture Problems

6.6 Linear Inequalities in Two Variables; Systems of Linear Inequalities in 2 Variables

 

Chapter 7:  Polynomials

7.1 Graphing Quadratic Equations

7.2 Quadratic Models

7.3 Adding and Subtracting Polynomials

7.4 Multiplying Polynomials

7.5 Powers of Polynomials; Product of Binomial Conjugates

7.6 Properties of Exponents

7.7 Negative Exponents

 

Chapter 8:  Factoring Polynomials and Solving Polynomial Equations

8.1 Factoring Trinomials of the Form x² + bx + c and Differences of Two Squares

8.2 Factoring Out the GCF; Factoring by Grouping

8.3 Factoring Trinomials of the Form ax² + bx + c

8.4 Sums and Differences of Cubes; A Factoring Strategy

8.5 Solving Polynomial Equations

8.6 Using Factoring to Make Predications with Quadratic Models

 

Chapter 9:  Solving Quadratic Equations

9.1 Simplifying Radical Expressions

9.2 Simplifying More Radical Expressions

9.3 Solving Quadratic Equations by the Square Root Property; Pythagorean Theorem

9.4 Solving Quadratic Equations by Completing the Square

9.5 Solving Quadratic Equations by the Quadratic Formula

9.6 More Quadratic Models

 

Chapter 10:  Rational Expressions and Equations

10.1 Simplifying Rational Expressions

10.2 Multiplying and Dividing Rational Expressions

10.3 Adding Rational Expressions

10.4 Subtracting Rational Expressions

10.5 Solving Radical Equations

10.6 Proportions; Similar Triangles

10.7 Variation

10.8 Simplifying Complex Rational Expressions

 

Chapter 11:  More Radical Expressions and Equations

11.1 Adding and Subtracting Radical Expressions

11.2 Multiplying Radical Expressions

11.3 Solving Square Root Equations

 

Appendix A:  Using a TI-83 or TI-84 Graphing Calculator

A.1 Turing a Graphing Calculator On or Off

A.2 making the Screen Lighter or Darker

A.3 Entering an Equation

A.4 Graphing an Equation

A.5 Tracing A Curve with out a Scattergram

A.6 Zooming

A.7 Setting the Window Format

A.8 Plotting Points in a Scattergram

A.9 Tracing A Scattergram

A.10 Graphing Equations with a Scattergram

A.11 Tracing a Curve with a Scattergram

A.12 Turning a Plotter on or off

A.13 Creating a Table

A.14 Creating a Table for Two Equations

A.15 Using “Ask” in a Table

A.16 Plotting Points on Two Scatter Grams

A.17 Finding the Intersection Point(s) of Two Curves

A.18 Finding the Minimum or Maximum of a Curve

A.19 Finding any x-Intercepts of a Curve

A.20 Turing an Equation On or Off

A.21 Finding Coordinates of Points

A.22 Entering an Equation by Using Yn References

A.23 Responding to Error Messages

 

Answers to Odd-Numbered Exercises