About This Chapter
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.
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.
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.
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.
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.
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.
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.
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!
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.
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.
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.
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.
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.
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.
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Other chapters within the FTCE General Knowledge Test (GK) (828): Mathematics Subtest Practice & Study Guide course