Description

Book Synopsis


Table of Contents
Table of Contents

  1. Linear Equations and Linear Functions
    • 1.1 Using Qualitative Graphs to Describe Situations
    • 1.2 Graphing Linear Equations
    • 1.3 Slope of a Line
    • 1.4 Meaning of Slope for Equations, Graphs, and Tables
    • 1.5 Finding Linear Equations
    • 1.6 Functions
  2. Modeling With Linear Functions
    • 2.1 Using Lines to Model Data
    • 2.2 Finding Equations of Linear Models
    • 2.3 Function Notation and Making Predictions
    • 2.4 Slope Is a Rate of Change
    • Taking It to the Lab: Climate Change Lab • Used-Car Lab • Golf Ball Lab • Walking Student Lab • Linear Lab: Topic of Your Choice
  3. Systems of Linear Equations and Systems of Linear Inequalities
    • 3.1 Using Graphs and Tables to Solve Systems
    • 3.2 Using Substitution and Elimination to Solve Systems
    • 3.3 Using Systems to Model Data
    • 3.4 Value, Interest, and Mixture Problems
    • 3.5 Using Linear Inequalities in One Variable to Make Predictions
    • 3.6 Linear Inequalities in Two Variables; Systems of Linear Inequalities
    • Taking It to the Lab: Climate Change Lab (continued from Chapter 2) • Sports Lab • Truck Lab
  4. Exponential Functions
    • 4.1 Properties of Exponents
    • 4.2 Rational Exponents
    • 4.3 Graphing Exponential Functions
    • 4.4 Finding Equations of Exponential Functions
    • 4.5 Using Exponential Functions to Model Data
    • Taking It to the Lab: Stringed Instrument Lab • Cooling Water Lab • Exponential Lab: Topic of Your Choice
  5. Logarithmic Functions
    • 5.1 Composite Functions
    • 5.2 Inverse Functions
    • 5.3 Logarithmic Functions
    • 5.4 Properties of Logarithms
    • 5.5 Using the Power Property with Exponential Models to Make Predictions
    • 5.6 More Properties of Logarithms
    • 5.7 Natural Logarithm
    • Taking It to the Lab: China and India Populations Lab • Folding Paper Lab • Exponential/Logarithmic Lab: Topic of Your Choice
  6. Polynomial Functions
    • 6.1 Adding and Subtracting Polynomial Expressions and Functions
    • 6.2 Multiplying Polynomial Expressions and Functions
    • 6.3 Dividing Polynomials: Long Division and Synthetic Division
    • 6.4 Factoring Trinomials of the Form x2 + bx + c; Factoring Out the GCF
    • 6.5 Factoring Polynomials
    • 6.6 Factoring Special Binomials; A Factoring Strategy
    • 6.7 Using Factoring to Solve Polynomial Equations
    • Taking It to the Lab: Climate Change Lab (continued from Chapter 3) • Projectile Lab
  7. Quadratic Functions
    • 7.1 Graphing Quadratic Functions in Vertex Form
    • 7.2 Graphing Quadratic Functions in Standard Form
    • 7.3 Using the Square Root Property to Solve Quadratic Equations
    • 7.4 Solving Quadratic Equations by Completing the Square
    • 7.5 Using the Quadratic Formula to Solve Quadratic Equations
    • 7.6 Solving Systems of Linear Equations in Three Variables; Finding Quadratic Functions
    • 7.7 Finding Quadratic Models
    • 7.8 Modeling with Quadratic Functions
    • Taking It to the Lab: Climate Change Lab (continued from Chapter 6) • Projectile Lab (continued from Chapter 6) • Projectile Lab (Using a CBR or CBL) • Water Flow Lab • Quadratic Lab: Topic of Your Choice
  8. Rational Functions
    • 8.1 Finding the Domains of Rational Functions and Simplifying Rational Expressions
    • 8.2 Multiplying and Dividing Rational Expressions; Converting Units
    • 8.3 Adding and Subtracting Rational Expressions
    • 8.4 Simplifying Complex Rational Expressions
    • 8.5 Solving Rational Equations
    • 8.6 Modeling with Rational Functions
    • 8.7 Variation
    • Taking It to the Lab: Climate Change Lab (continued from Chapter 7) • Illumination Lab • Boyle’s Law Lab
  9. Radical Functions
    • 9.1 Simplifying Radical Expressions
    • 9.2 Adding, Subtracting, and Multiplying Radical Expressions
    • 9.3 Rationalizing Denominators and Simplifying Quotients of Radical Expressions
    • 9.4 Graphing and Combining Square Root Functions
    • 9.5 Solving Radical Equations
    • 9.6 Modeling with Square Root Functions
    • Taking It to the Lab: Pendulum Lab
  10. Sequences and Series
    • 10.1 Arithmetic Sequences
    • 10.2 Geometric Sequences
    • 10.3 Arithmetic Series
    • 10.4 Geometric Series
    • Taking It to the Lab: Bouncing Ball Lab • Stacked Cups Lab
  11. Additional Topics
    • 11.1 Absolute Value: Equations and Inequalities
    • 11.2 Performing Operations with Complex Numbers
    • 11.3 Pythagorean Theorem, Distance Formula, and Circles
    • 11.4 Ellipses and Hyperbolas
    • 11.5 Solving Nonlinear Systems of Equations
Appendix A: Reviewing the Prerequisite Material Appendix B: Using a TI-83 or TI- 84 Graphing Calculator Appendix C: Using StatCrunch

Intermediate Algebra

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      Book details

      Publisher Pearson Education (US)
      Published 20 February 2018
      ISBN-13 9780134756981
      978-0134756981
      ISBN-10 0134756983
      Also in:
      Algebra

      Description

      Book Synopsis


      Table of Contents
      Table of Contents

      1. Linear Equations and Linear Functions
        • 1.1 Using Qualitative Graphs to Describe Situations
        • 1.2 Graphing Linear Equations
        • 1.3 Slope of a Line
        • 1.4 Meaning of Slope for Equations, Graphs, and Tables
        • 1.5 Finding Linear Equations
        • 1.6 Functions
      2. Modeling With Linear Functions
        • 2.1 Using Lines to Model Data
        • 2.2 Finding Equations of Linear Models
        • 2.3 Function Notation and Making Predictions
        • 2.4 Slope Is a Rate of Change
        • Taking It to the Lab: Climate Change Lab • Used-Car Lab • Golf Ball Lab • Walking Student Lab • Linear Lab: Topic of Your Choice
      3. Systems of Linear Equations and Systems of Linear Inequalities
        • 3.1 Using Graphs and Tables to Solve Systems
        • 3.2 Using Substitution and Elimination to Solve Systems
        • 3.3 Using Systems to Model Data
        • 3.4 Value, Interest, and Mixture Problems
        • 3.5 Using Linear Inequalities in One Variable to Make Predictions
        • 3.6 Linear Inequalities in Two Variables; Systems of Linear Inequalities
        • Taking It to the Lab: Climate Change Lab (continued from Chapter 2) • Sports Lab • Truck Lab
      4. Exponential Functions
        • 4.1 Properties of Exponents
        • 4.2 Rational Exponents
        • 4.3 Graphing Exponential Functions
        • 4.4 Finding Equations of Exponential Functions
        • 4.5 Using Exponential Functions to Model Data
        • Taking It to the Lab: Stringed Instrument Lab • Cooling Water Lab • Exponential Lab: Topic of Your Choice
      5. Logarithmic Functions
        • 5.1 Composite Functions
        • 5.2 Inverse Functions
        • 5.3 Logarithmic Functions
        • 5.4 Properties of Logarithms
        • 5.5 Using the Power Property with Exponential Models to Make Predictions
        • 5.6 More Properties of Logarithms
        • 5.7 Natural Logarithm
        • Taking It to the Lab: China and India Populations Lab • Folding Paper Lab • Exponential/Logarithmic Lab: Topic of Your Choice
      6. Polynomial Functions
        • 6.1 Adding and Subtracting Polynomial Expressions and Functions
        • 6.2 Multiplying Polynomial Expressions and Functions
        • 6.3 Dividing Polynomials: Long Division and Synthetic Division
        • 6.4 Factoring Trinomials of the Form x2 + bx + c; Factoring Out the GCF
        • 6.5 Factoring Polynomials
        • 6.6 Factoring Special Binomials; A Factoring Strategy
        • 6.7 Using Factoring to Solve Polynomial Equations
        • Taking It to the Lab: Climate Change Lab (continued from Chapter 3) • Projectile Lab
      7. Quadratic Functions
        • 7.1 Graphing Quadratic Functions in Vertex Form
        • 7.2 Graphing Quadratic Functions in Standard Form
        • 7.3 Using the Square Root Property to Solve Quadratic Equations
        • 7.4 Solving Quadratic Equations by Completing the Square
        • 7.5 Using the Quadratic Formula to Solve Quadratic Equations
        • 7.6 Solving Systems of Linear Equations in Three Variables; Finding Quadratic Functions
        • 7.7 Finding Quadratic Models
        • 7.8 Modeling with Quadratic Functions
        • Taking It to the Lab: Climate Change Lab (continued from Chapter 6) • Projectile Lab (continued from Chapter 6) • Projectile Lab (Using a CBR or CBL) • Water Flow Lab • Quadratic Lab: Topic of Your Choice
      8. Rational Functions
        • 8.1 Finding the Domains of Rational Functions and Simplifying Rational Expressions
        • 8.2 Multiplying and Dividing Rational Expressions; Converting Units
        • 8.3 Adding and Subtracting Rational Expressions
        • 8.4 Simplifying Complex Rational Expressions
        • 8.5 Solving Rational Equations
        • 8.6 Modeling with Rational Functions
        • 8.7 Variation
        • Taking It to the Lab: Climate Change Lab (continued from Chapter 7) • Illumination Lab • Boyle’s Law Lab
      9. Radical Functions
        • 9.1 Simplifying Radical Expressions
        • 9.2 Adding, Subtracting, and Multiplying Radical Expressions
        • 9.3 Rationalizing Denominators and Simplifying Quotients of Radical Expressions
        • 9.4 Graphing and Combining Square Root Functions
        • 9.5 Solving Radical Equations
        • 9.6 Modeling with Square Root Functions
        • Taking It to the Lab: Pendulum Lab
      10. Sequences and Series
        • 10.1 Arithmetic Sequences
        • 10.2 Geometric Sequences
        • 10.3 Arithmetic Series
        • 10.4 Geometric Series
        • Taking It to the Lab: Bouncing Ball Lab • Stacked Cups Lab
      11. Additional Topics
        • 11.1 Absolute Value: Equations and Inequalities
        • 11.2 Performing Operations with Complex Numbers
        • 11.3 Pythagorean Theorem, Distance Formula, and Circles
        • 11.4 Ellipses and Hyperbolas
        • 11.5 Solving Nonlinear Systems of Equations
      Appendix A: Reviewing the Prerequisite Material Appendix B: Using a TI-83 or TI- 84 Graphing Calculator Appendix C: Using StatCrunch

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