About This Chapter
MTLE Basic Skills: Linear & Nonlinear Functions - Chapter Summary
Lessons in this chapter explore systems of equations and how they are used as you prepare for the MTLE Basic Skills exam. Review facts about one-variable inequalities and the definition of nonlinear functions. After completing this chapter's lessons, you should be ready for exam questions on topics including:
- Intecepts, standard form and graphing linear equations
- Uses for a system of equations and how to solve them by graphing
- How to solve one-variable inequalities
- Definition of relations and functions
- Uses for nonlinear functions
Our engaging video lessons average between five and ten minutes and are led by knowledgeable instructors who are available to answer any questions you may have. Short self-assessment quizzes let you test your knowledge, and you can also print them as worksheets to help you study when you're offline.
1. The Difference Between Relations & Functions
Relations and functions are a huge part of mathematics. In this lesson, we will define relations and functions. We will look at the differences between the two and how to determine whether a given relation is a function.
2. What is a Linear Equation?
Most cars won't be able to run for more than 250,000 miles, so how much longer will your car live? Linear Equations are the most basic kind of algebraic function and can help you answer questions exactly like this. Learn about what they look like, how they come up in your life and why they are powerful tools.
3. Linear Equations: Intercepts, Standard Form and Graphing
Do you know what to do if an equation doesn't look like y=mx+b?! If not, then this video is for you. Chances are the equation is in standard form, so we'll learn how to use standard form equations, how to graph them and why they can be helpful.
4. Using Tables and Graphs in the Real World
We use tables and graphs in algebra as ways to visually show an equation or function. But do we really use these in the real world? Is it that important to learn about tables and graphs? Find out in this video lesson.
5. Linear & Nonlinear Relationships in Data Graphs
After watching this video, you will be able to explain the difference between linear and nonlinear relationships when plotting graphs. A short quiz will follow.
6. Identify Where a Function is Linear, Increasing or Decreasing, Positive or Negative
Functions do all kinds of fun things. In this lesson, learn how to identify traits of functions such as linear or nonlinear, increasing or decreasing and positive or negative.
7. Using Nonlinear Functions in Real Life Situations
In this lesson, we will define non-linear functions and look at examples of non-linear functions being used in real-world situations. We will also touch on determining which non-linear function is best to use in different real-world scenarios.
8. What is a System of Equations?
So what happens if we want to compare more than one equation? Welcome to a 'system' of equations! Learn what one is, how to solve them and when they come up in real life.
9. How Do I Use a System of Equations?
There are a few classic algebra word problems, such as the one about two trains traveling at different speeds. In this lesson, you'll learn how to take a word problem and convert it into the system of equations that will allow you to find the answer using either substitution or elimination.
10. How to Solve a System of Equations by Graphing
Watch this video lesson to learn how you can solve a system of equations by graphing. Learn when you have a solution and when you don't. Also learn how easy the solution is to spot.
11. How to Solve and Graph One-Variable Inequalities
In this lesson, we will learn that solving inequalities is very similar to solving equations, but the solutions to inequalities are not so similar. Learn how to graph these solutions to better understand inequalities.
12. Nonlinear Function: Definition & Examples
In this lesson, we will familiarize ourselves with linear functions in order to define and understand what nonlinear functions are. We will become comfortable determining if a function is linear or nonlinear through definitions and examples.
Earning College Credit
Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.
To learn more, visit our Earning Credit Page
Transferring credit to the school of your choice
Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.
Other chapters within the MTLE Basic Skills: Practice & Study Guide course
- MTLE Basic Skills: Determining Word Meanings
- MTLE Basic Skills: Figurative Language
- MTLE Basic Skills: Increasing Vocabulary
- MTLE Basic Skills: Main Idea in Literature
- MTLE Basic Skills: Literary Purpose & Audience
- MTLE Basic Skills: Word Choice in Literature
- MTLE Basic Skills: Relationships Between Ideas in Writing
- MTLE Basic Skills: Analyzing Written Material
- MTLE Basic Skills: Summarizing & Interpreting Information
- MTLE Basic Skills: Presenting Ideas in Writing
- MTLE Basic Skills: Writing Mechanics
- MTLE Basic Skills: Spelling & Punctuation
- MTLE Basic Skills: Writing for Intent & Audience
- MTLE Basic Skills: Numbers
- MTLE Basic Skills: Operations With Integers
- MTLE Basic Skills: Fractions
- MTLE Basic Skills: Decimals
- MTLE Basic Skills: Percentages
- MTLE Basic Skills: Exponents
- MTLE Basic Skills: Solving Math Problems
- MTLE Basic Skills: Algebraic Patterns & Expressions
- MTLE Basic Skills: Equations, Functions & Factoring
- MTLE Basic Skills: Measurement, Units & Operations
- MTLE Basic Skills: Measurement, Shapes & Angles
- MTLE Basic Skills: Calculating Measurements Indirectly
- MTLE Basic Skills: Solving Measurement Problems
- MTLE Basic Skills: Principles of Geometry
- MTLE Basic Skills: Using Geometry to Solve Problems
- MTLE Basic Skills: Statistics & Discrete Mathematics
- MTLE Basic Skills: Probability
- MTLE Basic Skills: Applications of Discrete Mathematics
- MTLE Basic Skills: Problem Solving Strategies
- MTLE Basic Skills: Using Logic to Solve Problems
- MTLE Basic Skills: Mathematical Language & Connections
- MTLE Basic Skills Flashcards