# Ch 9: AFOQT: Graphs, Linear Equations & Parabolas

### About This Chapter

## AFOQT: Graphs, Linear Equations & Parabolas - Chapter Summary

As you move through this chapter, you can improve your understanding of linear equations, graphing undefined slopes and writing linear equations as you prepare for the AFOQT exam. You'll also look more closely at these topics for the test:

- Parts of a graph
- Solving simultaneous equations
- Evaluating and solving absolute value expressions
- Inequalities
- Parabolas
- Graphing 1- and 2- variable inequalities
- Using FOIL and the area method to multiply binomials
- Parabolas in different forms

The short videos in this chapter make it easy to study material for the exam. They also come with corresponding quizzes that you can use to gauge your understanding of graphs, linear equations and parabolas. If you need to review a topic again, just click on the video tags located at the bottom of every video.

### 1. What Are the Different Parts of a Graph?

Being able to read a graph isn't just vital for an algebra class. Graphs and charts are used everywhere! We'll take a crash course on the basic x/y plane used in algebra and the fundamental vocab you need.

### 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. 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.

### 5. 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!

### 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. How to Solve Simultaneous Equations

In this lesson, you'll learn what simultaneous equations are and discover methods for solving them, including graphing, the elimination method and the substitution method.

### 8. How to Evaluate Absolute Value Expressions

Substituting values into absolute values doesn't have to be too hard, but it can be if you're given deceiving beginning information. See if you're up to it by checking out this video!

### 9. How to Solve an Absolute Value Equation

Once you get familiar with any new operation, the next step in any algebra class is to learn how to solve equations with that operation in them. Absolute values are no different. Solve absolute value equations here!

### 10. Solving Absolute Value Practice Problems

There are many easy mistakes to make when solving absolute value equations. Learn how to avoid those mistakes here by working on examples of absolute value equations with operations on the inside and the outside of the absolute value.

### 11. What is an Inequality?

Deciding how to spend your money can be a tricky thing. Should you save it, invest it, or enjoy it? Learn how inequalities can help you make your decision!

### 12. How to Graph 1- and 2-Variable Inequalities

So an inequality is just an equation with a less than or greater than symbol. But what is the difference between 1 and 2 variable inequalities? What does have a greater than or equal to symbol change? When do you use a number line instead of a coordinate plane? Get those answers here!

### 13. What is a Parabola?

A parabola is the U shape that we get when we graph a quadratic equation. We actually see parabolas all over the place in real life. In this lesson, learn where, and the correct vocab to use when talking about them.

### 14. Parabolas in Standard, Intercept, and Vertex Form

By rearranging a quadratic equation, you can end up with an infinite number of ways to express the same thing. Learn about the three main forms of a quadratic and the pros and cons of each.

### 15. Multiplying Binomials Using FOIL and the Area Method

From the distributive property, to FOIL, to the area model, to happy faces and claws, there are many different ways to learn how to multiply binomials. In this lesson, you'll learn how to use all of them and get to pick which one you like the most.

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### Other Chapters

Other chapters within the AFOQT: Practice & Study Guide course

- AFOQT: Word Comprehension
- AFOQT: Analogies
- AFOQT: Arithmetic Comprehension
- AFOQT: Arithmetic Equations
- AFOQT: Factoring
- AFOQT: Exponents & Roots
- AFOQT: Word Problems
- AFOQT: Algebraic Expressions
- AFOQT: Quadratic Equations
- AFOQT: Polynomials, Functions & Rational Expressions
- AFOQT: Principles of Geometry
- AFOQT: Lines & Angles
- AFOQT: Circles & Triangles
- AFOQT: Rectangles & Solids
- AFOQT: Figures & Polygons
- AFOQT: Three-dimensional Blocks
- AFOQT: Object Visualization & Manipulation
- AFOQT: Table Knowledge
- AFOQT: Instrument Knowledge
- AFOQT: Aviation
- AFOQT: The Metric System & Scientific Notation
- AFOQT: Atoms & Matter
- AFOQT: Thermodynamics & Electricity
- AFOQT: Magnetism
- AFOQT: Earth Science
- AFOQT: Biomolecules & Cells
- AFOQT: Human Anatomy
- AFOQT: Personality Traits & Attitudes
- AFOQT Flashcards