About This Chapter
Linear Equations Overview - Chapter Summary
In these lessons, you'll improve your understanding of linear equations by reviewing topics like how to write a linear equation, how to use a system of equations, and more. After completing the chapter, you should be able to do the following:
- Describe linear equations, including intercepts, standard form, and graphing
- Provide abstract algebraic examples, including how to go from a graph to a rule
- Graph undefined slope and zero slope
- Write a linear equation
- Demonstrate how to use a system of equations
Our subject-matter experts teach on the topic of linear equations using engaging video lessons with plenty of examples to ensure you understand the concepts presented. The video timelines let you navigate the videos and review topics in order of your preference. A brief multiple-choice quiz is available for each lesson to test your knowledge. You can also print the lesson quizzes and use them as worksheets.
1. 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.
2. 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.
3. Abstract Algebraic Examples and Going from a Graph to a Rule
Just because you now know what a linear equation is doesn't mean that you are a master! This video will help you learn how to apply your knowledge of linear equations in more abstract algebraic ways.
4. Graphing Undefined Slope, Zero Slope and More
There are two special cases when it comes to slopes on the xy plane: horizontal and vertical lines. Without any more information, these examples can be pretty confusing. But with a little instruction, they end up being some of the easiest lines to graph!
5. 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.
6. 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.
7. 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.
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 PCAT: Study Guide & Test Prep course
- Verbal Ability: Analogies
- Verbal Ability: Sentence Completion
- Biology: Cell Structure & Division
- Biology: Cellular Processes
- Biology: DNA & Enzymes
- Biology: Genetics
- Animal & Human Behavior
- Biology: Evolution & Natural Selection
- Speciation, Extinction & Taxonomy
- Biology: Intro to Nutrition
- Biology: Nutrition - Carbohydrates
- Biology: Nutrition - Lipids
- Protein in Nutrition
- Minerals & Nutrition
- Vitamins in Nutrition
- Biology: Diseases & Prevention
- Biology: Types of Diseases
- Microrganisms & Microbial Ecology
- Medical Microbiology
- Microbiology: The Immune System
- Structures of Human Anatomy & Physiology
- Human Skeletal System
- Muscular System
- The Human Nervous System
- Human Circulatory System Basics
- The Circulatory System, Blood & Blood Vessels
- Respiratory System
- Urinary Systems & Structures
- Functions of the Human Digestive System
- Overview of the Endocrine System
- Male Reproductive System
- Female Reproductive System
- Integumentary System Overview
- The Five Senses of the Human Body
- The Atom and Atomic Theory
- Chemical Bonding in Physical Chemistry
- Types of Reactions in Chemistry
- Equilibrium in Chemistry
- Overview of Stoichiometry
- Properties of Liquids & Solids
- Gas Laws
- Kinetics & Thermodynamics
- Elements, Compounds & Mixtures
- Nuclear Processes
- Organic & Inorganic Chemistry
- Reading Comprehension & Analysis
- Fractions & Percents
- Solving Algebraic Equations
- Inequalities Overview
- Understanding the Basics of Functions
- Interpreting Tables & Plots
- Basic Statistics & Probability
- Linear Regression & Correlation
- Solving Exponential & Logarithmic Functions
- Complex Numbers & Vectors
- Limits of Functions
- Overview of Continuity
- Rate of Change & Calculating Derivatives
- Integrals & Antiderivatives
- PCAT Flashcards