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Ch 7: FTCE: Equations and Inequalities

About This Chapter

Strengthen your preparations for an upcoming FTCE exam covering equations and inequalities by studying these fun lessons. Mini quizzes and a chapter exam can confirm your knowledge and ensure you're ready to excel on exam day.

FTCE: Equations and Inequalities - Chapter Summary

No matter your current understanding of equations and inequalities, our engaging lessons make it easy to boost your comprehension. Study them at your convenience to refresh your knowledge of linear inequalities and functions, quadratic equations, how to use quadratic formulas in real life situations and more. In no time, you will be ready to do the following:

  • Solve problems with linear equations
  • Graph and solve linear and quadratic inequalities
  • Define linear functions and write and evaluate real-life linear models
  • Interpret the slope and intercept of a linear model
  • Share examples of quadratic equations and solve one by graphing
  • Model a given data set or situation using quadratic functions
  • Compare quadratic, linear and exponential models

This chapter features a self-paced format that enables you to study when and how you desire. Feel free to choose the lessons you want to study, navigate them in any order, and revisit as often as you'd like. If you have questions about specific topics covered in the lessons, don't hesitate to submit them to our subject-matter experts. Before exam day, be sure to test your comprehension of this chapter by taking multiple-choice quizzes and a broader practice exam.

13 Lessons in Chapter 7: FTCE: Equations and Inequalities
Test your knowledge with a 30-question chapter practice test
Problem solving using Linear Equations

1. Problem solving using Linear Equations

From sale prices to trip distances, many real life problems can be solved using linear equations. In this lesson, we'll practice translating word problems into linear equations, then solving the problems.

Solving Linear Equations: Practice Problems

2. Solving Linear Equations: Practice Problems

With practice, linear equations can be straightforward to solve. In this lesson, we'll define linear equations and learn how to solve them. We'll look at multiple practice problems and walk through solving each one.

Linear Inequality: Solving, Graphing & Problems

3. Linear Inequality: Solving, Graphing & Problems

If you can solve linear equations, you can solve linear inequalities. In this lesson, you will learn how similar the solving processes are. You will also learn the notations you need to use when graphing linear inequalities.

Solving Linear Inequalities: Practice Problems

4. Solving Linear Inequalities: Practice Problems

Linear inequalities may look intimidating, but they're really not much different than linear equations. In this lesson, we'll practice solving a variety of linear inequalities.

What is a Linear Function? - Definition & Examples

5. What is a Linear Function? - Definition & Examples

In this lesson, you will learn the key identifying mark of linear functions. You'll also learn how to graph them with just two points and how you can use the graph to easily find your answers.

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

6. 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.

Interpreting the Slope & Intercept of a Linear Model

7. Interpreting the Slope & Intercept of a Linear Model

You've probably seen slope and intercept in algebra. These concepts can also be used to predict and understand information in statistics. Take a look at this lesson!

What is a Quadratic Equation? - Definition & Examples

8. What is a Quadratic Equation? - Definition & Examples

You might be surprised to learn that quadratic equations are an important part of the world we live in. We sometimes even make use of them for our entertainment! Watch this video lesson to learn more about these equations.

How to Solve a Quadratic Equation by Graphing

9. How to Solve a Quadratic Equation by Graphing

This lesson will show us how to solve a quadratic equation by graphing. Through definitions, illustrations, and applications, we will learn the steps involved in this process.

Using Quadratic Formulas in Real Life Situations

10. Using Quadratic Formulas in Real Life Situations

This lesson will show us how to use the quadratic formula in real-life situations. We'll look at a couple of different real-world examples of when this formula can be used to solve problems that can be modeled using quadratic equations.

Graphing & Solving Quadratic Inequalities: Examples & Process

11. Graphing & Solving Quadratic Inequalities: Examples & Process

When you finish watching this video lesson, you will be able to graph and solve your own quadratic inequality. Learn what steps you need to take and what to watch for.

Using Quadratic Functions to Model a Given Data Set or Situation

12. Using Quadratic Functions to Model a Given Data Set or Situation

Watch this video lesson to learn how quadratic functions are used to model situations and data gathered from real world scenarios. See how our function fits our data and situation well.

Comparing Linear, Quadratic & Exponential Models

13. Comparing Linear, Quadratic & Exponential Models

In this lesson, we will compare the algebraic and graphical characteristics of quadratic, linear, and exponential models. We will examine which models are best used in different situations based on these characteristics.

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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