About This Chapter
THEA Test: Graphing Linear Equations - Chapter Summary
The video lessons are designed to simplify the process of preparing for the THEA test by helping you get reacquainted with the graphing of linear equations. In no time, you'll be ready to answer questions that address the following:
- Defining a linear equation, and examining intercepts and standard form
- Writing linear equations and graphing functions
- Understanding abstract algebra examples of linear equations and going from a graph to a rule
- Making the distinctions between linear, increasing, decreasing, positive and negative functions
- Finding and applying the slope and intercepts of lines
- Knowing how to graph undefined slope and zero slope
- Exploring the use of the distance and midpoint formulas
Instructors make a special effort to keep you engaged as you review the lessons in this chapter. They provide you with definitions, formulas and other details you need to better understand the graphing of linear equations while presenting the materials in a fun and entertaining fashion.
THEA Test: Graphing Linear Equations Objectives
This chapter helps you review topics you will be required to address in the mathematics section of the THEA test. To help you refresh your knowledge of linear equations, you can review the lessons as videos and written transcripts. Short quizzes are available to gauge how well you understand lesson concepts. If you answer any quiz questions incorrectly, simply click the link next to the answer to revisit the related topic in the video lesson.
The THEA test is designed to ensure that individuals interested in entering a Texas public college or university are prepared to perform at the freshman level. The test is broken into three sections with the mathematics section consisting of 50 multiple-choice questions that explore fundamental mathematics, problem solving techniques, geometry and algebra. Passing this section of the test requires earning a minimum score of 230.
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. 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.
4. Graph Functions by Plotting Points
Let's say you have a function. What does it look like? How do you graph it? In this lesson, we'll learn how to graph functions by determining and plotting points.
5. 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.
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. How to Find and Apply The Slope of a Line
In this lesson, we'll discover all about the slopes of lines. We'll learn about different types of slopes and how to find the slopes of lines. We'll use two methods: the slope formula and the slope-intercept form.
8. How to Find and Apply the Intercepts of a Line
How can you take an equation of a line and find out where it will cross the x- or y-axis? In this lesson, we'll define x-intercepts and y-intercepts and learn how to find them.
9. 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!
10. Equation of a Line Using Point-Slope Formula
It's time for a road trip to Las Vegas, and after four hours of driving at 60 mph ... Are we there yet? Learn the point-slope form of the equation of a line to help answer this age-old question.
11. How to Use The Distance Formula
You can't always rely on your smartphone to tell you how far you need to travel to get from point A to point B. The distance formula will tell you the distance between any two points on a graph. In this lesson, you'll learn where it comes from and how to use it!
12. How to Use The Midpoint Formula
The formula for the midpoint of a line segment will tell you how to find the middle of any line segment on the x, y plane. Learn about this formula and see how it is used to find the midpoint of a line segment.
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Other chapters within the THEA Test: Practice & Study Guide course
- THEA Test: Understanding Words & Phrases
- THEA Test: Analyzing Literature
- THEA Test: Reading Comprehension & Interpretation
- THEA Test: Point of View & Meaning in Literature
- THEA Test: Drawing Conclusions from Ideas in Text
- THEA Test: Using Critical Thinking to Evaluate Writing
- THEA Test: Understanding Reading Assignments
- THEA Test: Writing Style
- THEA Test: Writing Organization
- THEA Test: Writing Grammar & Mechanics
- THEA Test: Using Verbs
- THEA Test: Using Modifiers
- THEA Test: Using Nouns & Pronouns
- THEA Test: Proofreading & Editing Your Writing
- THEA Test: Fundamental Arithmetic
- THEA Test: Simplifying Whole Number Expressions
- THEA Test: Negative Numbers
- THEA Test: Absolute Value
- THEA Test: Properties of Basic Math
- THEA Test: Solving Word Problems
- THEA Test: Fractions
- THEA Test: Decimals & Percentages
- THEA Test: Ratios & Proportions
- THEA Test: Units of Measurement
- THEA Test: Scientific Notation
- THEA Test: Radicals & Square Roots
- THEA Test: Radical Expressions
- THEA Test: Exponents
- THEA Test: Calculating & Plotting Data
- THEA Test: Solving Rational Equations
- THEA Test: Principles of Algebra
- THEA Test: Algebraic Expressions & Equations
- THEA Test: Word Problems in Algebra
- THEA Test: Properties of Functions
- THEA Test: Quadratic Equations
- THEA Test: Two-Variable Equations & Systems of Equations
- THEA Test: Properties of Polynomial Functions
- THEA Test: Properties & Theorems of Geometry
- THEA Test: Principles of Geometry
- THEA Test: Area, Perimeter & Volume in Geometry
- THEA Test: Problem Solving in Math