About This Chapter
PECT PAPA: Linear and Nonlinear Functions - Chapter Summary
Prior to taking the PECT PAPA examination, review this chapter's lessons. They cover the definitions, rules and concepts related to linear and nonlinear functions. You'll also find practice problems that help you to develop your expertise. Function notation, standard form and slope-intercept form are just some of the topics you'll have the chance to explore. Watching this chapter's online videos might help you with:
- Identifying the characteristics of linear and nonlinear equations
- Discussing function identification and notation
- Providing examples of linear and nonlinear functions
- Reviewing graphing and converting standard-form equations
- Interpreting intercept and slope
- Describing the steps necessary for writing linear equations
- Identifying and solving a system of equations
Review these online tutorial lessons as you get ready for the PECT PAPA examination. You may find that there are areas you're familiar with as well as topics that you should study further. Access the lessons 24/7 via your tablet or other Internet-connected technology. They include written transcripts, navigational video tags and a practice chapter examination.
PECT PAPA: Linear and Nonlinear Functions Chapter Objectives
You may find questions pertaining to linear and nonlinear functions on the PECT PAPA examination's Mathematics module. You could be tested on your expertise in solving linear equations and inequalities as well as your ability to relate linear equations to real-life scenarios.
The computer-administered examination includes three modules, Mathematics, Reading and Writing. The math section consists of 36 selected-response questions and has a 75-minute time limit. Take one test at a time, or sit for all of the tests during one session.
1. Functions: Identification, Notation & Practice Problems
A function is simply a rule that takes one number and turns it into another. But some special conditions must apply for it to be a true mathematical function. Learn about those conditions and how we write functions here!
2. 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.
3. 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.
4. 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.
5. 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!
6. How to Write a Linear Equation
Simply knowing how to take a linear equation and graph it is only half of the battle. You should also be able to come up with the equation if you're given the right information.
7. 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.
8. 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.
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Other chapters within the PECT PAPA: Practice & Study Guide course
- PECT PAPA: Meaning of Words & Phrases in Text
- PECT PAPA: Purpose, Main Idea & Organization of Texts
- PECT PAPA: Analyzing & Interpreting Texts
- PECT PAPA: Drawing Inferences from Texts
- PECT PAPA: Numbers & the Number System
- PECT PAPA: Whole Numbers
- PECT PAPA: Positive & Negative Numbers
- PECT PAPA: Integers
- PECT PAPA: Rational & Irrational Numbers
- PECT PAPA: Decimals
- PECT PAPA: Percents
- PECT PAPA: Fractions
- PECT PAPA: Exponents
- PECT PAPA: Inequalities
- PECT PAPA: Basic Measurement
- PECT PAPA: Geometric Concepts
- PECT PAPA: Measuring Geometric Figures
- PECT PAPA: Data & Statistics
- PECT PAPA: Probability
- PECT PAPA: Problem Solving & Reasoning in Math
- PECT PAPA: Writing Structure
- PECT PAPA: Syntax, Grammar & Sentence Structure
- PECT PAPA: Spelling, Capitalization & Punctuation
- PECT PAPA: Writing Strategy
- PECT PAPA: Revising Your Writing
- PECT PAPA Flashcards