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Ch 6: Mathematical Modeling for Precalculus

About This Chapter

Use the lessons in this chapter to strengthen your knowledge of mathematical modeling for precalculus. Self-assessment quizzes and a chapter exam are available to gauge your comprehension of the lessons.

Mathematical Modeling for Precalculus - Chapter Summary and Learning Objectives

This chapter is designed to boost your knowledge of mathematical modeling for precalculus by providing you with various definitions, explanations and mathematical operations associated with the subject area. Make sure you know how to write and evaluate expressions and models, apply systems and solve problems effectively. Examples are available to ensure you fully understand these concepts.

Reviewing this chapter is fun, thanks to expert instructors who have created entertaining video lessons that keep you engaged. Feel free to review the lessons in any sequence you desire, and even access full transcripts with easily identifiable vocabulary words that can deepen your understanding of mathematical modeling. Self-assessment quizzes and a chapter exam are available to gauge your comprehension of the subject matter. After exploring the lessons in this chapter, you will understand the following:

  • How to write and evaluate algebraic expressions for two-dimensional geometric figures and real-life linear models
  • Questions about direct and inverse variation
  • The process of applying systems of linear equations to breakeven point and market equilibrium
  • Steps involved in using quadratic models to find minimum and maximum values
  • Ways to use linear programming to solve problems

Video Objective
Writing & Evaluating Algebraic Expressions for Two-Dimensional Geometric Figures: Lesson & Quiz Examine the process of writing and solving equations that relate the side lengths, perimeter and area of a two-dimensional figure.
Writing & Evaluating Real-Life Linear Models: Process & Examples Learn how to write and solve real-life models, including d=rt and cost determination.
Direct and Inverse Variation Problems: Definition & Examples Discover how to answer questions related to direct and inverse variation by exploring their definitions and learning to apply them to problems.
Applying Systems of Linear Equations to Breakeven Point: Steps & Example Describe how to find the breakeven point by using systems of linear equations with revenue and cost functions.
Applying Systems of Linear Equations to Market Equilibrium: Steps & Example Study how to use linear models to evaluate economic equilibrium and profit functions.
Using Quadratic Models to Find Minimum & Maximum Values: Definition, Steps & Example Explain how to find maximum and minimum values of quadratic models.
Using Linear Programming to Solve Problems Understand the meaning of linear programming, describe problems that require it, list linear program problem elements, and share the process of solving the linear program problem with two variables.

7 Lessons in Chapter 6: Mathematical Modeling for Precalculus
Test your knowledge with a 30-question chapter practice test
Writing & Evaluating Algebraic Expressions for Two-Dimensional Geometric Figures

1. Writing & Evaluating Algebraic Expressions for Two-Dimensional Geometric Figures

Learning more about algebraic expressions and geometric figures will help you solve problems that occur in your life. In this lesson, you will use the perimeter of a two-dimensional geometric shape to solve a real-world problem.

Writing & Evaluating Real-Life Linear Models: Process & Examples

2. Writing & Evaluating Real-Life Linear Models: Process & Examples

You make decisions about budgeting and other financial issues using linear models without even realizing it. Learn how to write and evaluate linear models.

Direct and Inverse Variation Problems: Definition & Examples

3. Direct and Inverse Variation Problems: Definition & Examples

In this lesson, you'll learn how to approach questions about direct and inverse variation with a simple explanation of what the terms mean and how to apply them to problems.

Applying Systems of Linear Equations to Breakeven Point: Steps & Example

4. Applying Systems of Linear Equations to Breakeven Point: Steps & Example

Businesses use breakeven points to determine price and sell products. Learn how to use systems of linear equations with revenue and cost functions to find the breakeven point.

Applying Systems of Linear Equations to Market Equilibrium: Steps & Example

5. Applying Systems of Linear Equations to Market Equilibrium: Steps & Example

Businesses use market equilibrium to determine price and sell products. Learn how to use systems of linear equations to find market equilibrium in this video lesson. Review what you know with a short quiz!

Using Quadratic Models to Find Minimum & Maximum Values: Definition, Steps & Example

6. Using Quadratic Models to Find Minimum & Maximum Values: Definition, Steps & Example

Minimum and maximum values are found in parabolas that open up or down. In this lesson, learn how to find the minimum and maximum values algebraically and graphically.

Using Linear Programming to Solve Problems

7. Using Linear Programming to Solve Problems

This lesson describes the use of Linear Programming to search for the optimal solutions to problems with multiple, conflicting objectives, using linear equations to represent the decision problem.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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