# Ch 6: Praxis I Math: Equations and Inequalities

### About This Chapter

## Praxis I Math: Equations and Inequalities

The collection of lessons in this chapter are designed to expand your knowledge of equations, the different parts of graphs, variables in algebra, linear equations, abstract algebraic examples, graphing and inequalities. Other video lesson topics include:

- System of equations
- Solving problems using linear equations
- Understanding connections between proportional relationships, lines and linear equations
- Point-slope formulas
- Linear inequalities
- Graphing inequalities
- Graphing variable inequalities
- Using a scientific calculator to solve equations
- Graphing on a scientific calculator

Your video instructors will give you advice on how you can use the information you learn on the test in addition to giving you an in-depth explanation of each lesson. Several learning approaches will be used to prevent lessons from becoming stagnant and so that you can be sure that you're fully prepared for the exam.

### Praxis I Math: Equations and Inequalities Course Objectives

The Praxis I Math test is intended to gauge the mathematical concepts and skills that an adult with a degree might use. Equations and inequalities are included in the algebra portion of the exam, which typically makes up 20% of the full exam. There are roughly nine multiple choice questions on the Praxis I related to algebra, and you'll have 75 minutes to answer all 46 questions on the test.

You'll start to get a better idea of how questions are formatted on the actual test as you work your way through the self-assessment quizzes. You'll also be able to measure how well you're using the testing methods that you learn.

### 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 Variable in Algebra?

Did you ever encounter something like a + b = c and wonder how all these letters snuck into a math problem? In this lesson, we'll learn about variables, as well as other parts of equations, constants and coefficients.

### 3. 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.

### 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. 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. 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!

### 7. 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.

### 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. Problem solving using Linear Equations

From sale prices to trip distances, many real life problems can be solved using linear equations. In this lesson, we'll practice translating word problems into linear equations, then solving the problems.

### 11. 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.

### 12. 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!

### 13. Graphing Inequalities: Practice Problems

If you're already pretty familiar with what inequalities are and just looking for a place to practice your skills, this is the place. This lesson covers topics like 1-variable, 2-variable, compound, and systems of inequalities.

### 14. 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!

### 15. Solving Linear Inequalities: Practice Problems

Linear inequalities may look intimidating, but they're really not much different than linear equations. In this lesson, we'll practice solving a variety of linear inequalities.

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### Other Chapters

Other chapters within the Praxis Core Academic Skills for Educators - Mathematics (5732): Study Guide & Practice course

- About the Praxis Math Core Test
- Praxis I Math: The Real Number System
- Praxis I Math: Square Roots and Exponents
- Praxis I Math: Ratio and Proportions
- Praxis I Math: Algebraic Expressions
- Praxis I Math: Functions
- Praxis I Math: Congruence and Similarity
- Praxis I Math: Right Triangles and Trigonometry
- Praxis I Math: Circles
- Praxis I Math: Geometric Measurement and Dimension
- Praxis I Math: Basic Statistics and Probability
- Praxis I Math: Categorical and Quantitative Data
- Praxis Core Academic Skills for Educators: Math Flashcards