# data[].attributes.body
with answers

# data[].attributes.headline
Practice Solving Systems of Equations by Graphing

# data[].attributes.subject
Practice Solving Systems of Equations by Graphing

# data[].attributes.body
with answers

# data[].attributes.attachment_link.readable_text
Learn your areas of strength and weakness to help focus your study time

Try it risk-free

Study.com offers a PERT practice test to identify your areas of strength and weakness

Practice tests, video lessons, diagnostic knowledge assessments, and personalized answers help you be ready on test day.

Your performance on practice tests can be a fairly accurate indicator of how you'll score on a placement test like the Postsecondary Education Readiness Test, or PERT. With Study.com's PERT study guide, you'll have access to dozens of practice quizzes and tests to help you prepare for this important pre-college evaluation. Gauging your areas of strength and weakness through our practice assessments can help you structure your studying more efficiently, ensuring you're spending your valuable time on the areas where you're most in need.

Florida colleges and universities use your PERT results to determine if you're academically ready for entry-level college courses in math and English. If your scores aren't high enough, you'll likely need to complete remedial work before starting your college classes. Our PERT test prep course covers key topics in math, reading and writing, aim to keep that from happening. You'll have ample opportunity to test your mastery of this material through lesson-based quizzes, chapter tests and a full-length PERT practice test. All of these assessments were designed with the content, style and format of the PERT in mind so you'll know exactly what to expect on test day.

Have we grabbed your attention yet? If so, take a free, 15-question PERT practice test today. We'll provide you with a diagnostic report that shows your competence with the material, as well as recommend a study path to address any academic needs. And this is just a preview of what you'll get with a full Study.com membership!

In addition to practice tests, Study.com members have access to dozens of engaging, bite-sized PERT video lessons. Designed by our team of subject-matter experts, these lessons pack a punch, giving you a comprehensive overview of topics likely to be covered on the PERT, often in less than eight minutes! As a bonus, you can study anytime, anywhere, just by logging in to our Study.com Mobile App on your smartphone or tablet.

Speaking of studying, we'll help you create a custom plan that's optimized to align with your schedule and academic needs. You'll get helpful email reminders to make sure you're sticking to your study plan, as well as 24/7 access to our subject-matter experts, who are available via email to answer your content questions. Study.com members also can learn about the logistics of the PERT, including where and how it's administered and how long you'll have to complete the test, through our suite of PERT information resources.

Get started on your PERT prep path today by taking our free, no-risk practice test. Then, sign up for a Study.com membership to get access to all our assessment resources. We're so confident that you'll be an ex-PERT with the material by test day that we offer a 100% money-back guarantee!

Professionally-designed PERT lessons & study guide

Covering all topics you can expect to be tested on

We help millions of students every month.

Try it risk-free today! No obligation, cancel anytime.

# data[].attributes.attachment_link.keywords[]
take a pert  practice test & pert test prep | study.com

# data[].attributes.attachment_link.title
Take a PERT Practice Test & PERT Test Prep | Study.com

# data[].attributes.attachment_link.description
Learn your areas of strength and weakness to help focus your study time Try it risk-free Practice tests, video lessons, diagnostic knowledge assessments, and personalized answers help you be ready on test day. Your performance on practice tests can be a fairly accurate indicator of how you'll score on a placement test like the Postsecondary Education Readiness Test, or PERT.

# data[].attributes.body
Solving Equations

# data[].attributes.body
Exponents Involving Fractions

# data[].attributes.body
Solving Systems of Equation Including Negatives

# data[].attributes.attachment_link.title
Converting Between Percents Decimals Fractions

# data[].attributes.headline
How to Solve and Graph Inequalities on a Number Line

# data[].attributes.subject
How to Solve and Graph Inequalities on a Number Line

# data[].attributes.attachment_link.readable_text
Are you ready to dive into our solving inequalities unit? Let's do a very quick review of inequality basics that you probably first learned about in second grade.

Always remember that inequalities do not have just one solution. There are always multiple solutions! Think about the following inequality:

x < 5 (Read as x is less than 5)

We could replace x with 4 because 4 is less than 5.

We could replace x with 2 because 2 is less than 5.

We could even replace x with -3 because -3 is less than 5.

We could go on forever, so as you can see there are many many solutions to this inequality!

Let's take a look at the inequality symbols and their meanings again.

When you graph inequalities that have only one variable, we use a number line. We will use open and closed circles and arrows pointing to the left or right to graph our answers.

An open circle on the graph indicates less than (<) or greater than (>).

A closed circle on the graph represents less than or equal to (<) or greater than or equal to (>).

Take a look at the models below.

x is greater than 5. I use an open circl e on 5, since x is NOT equal to 5. Then I draw an arrow to the right to indicate that x can be any number greater than 5.

x is less than -3. I use an open circle on -3 since x is NOT equal to -3. Then I draw an arrow to the left to indicate that x can be any number less than -3.

x is greater than OR equal to -2. I use a closed circle on -2 since x is also equal to -2. Then draw an arrow to the right to indicate that x can be any number greater than -2.

x is less than OR equal to 10. I use a closed circle on 10 since x is also equal to 10. Then draw an arrow to the left to indicate that x can be any number less than 10.

Ok... enough review. Let's solve a few inequalities. You are going to solve inequalities using the exact same rules that you used when solving equations. Let's quickly review those rules:

Rules for Solving Inequalities

Whatever you do to one side of the inequality, you must do to the other side.

Always get rid of the constant first and then any coefficients last.

If you have fractions, get rid of the fractions first and then proceed with solving the inequality.

Example 1: Solving an Inequality

Did you notice that you took the exact same steps that you would've taken in order to solve a regular equation? The only difference was that you had a less than sign instead of an equal sign.

Now that was pretty easy!

The next example is similar to example 1, but I would like to show you how to reverse your answer to make it easier to read and graph. Don't be afraid to do this if your variable ends up the right hand side of the inequality.

Example 2: Reversing the Inequality Symbol

Ok... The first two examples should have been pretty easy since you are a superstar at solving equations. Luckily there's only one trick that you have to remember when solving inequalities and that is:

Special Rule for Inequalities

Whenever you multiply or divide by a negative number, you must reverse the sign!

I knew you were going to ask "Why?" And.... you should be asking why. It's important to understand these rules. Sometimes, the best explanations are through examples. Let's take a look.

See What Happens.....
3 < 5 3 is less than 5 is a true statement.
**I know that I can keep my inequality balanced by multiplying or dividing every term by the same number, so.... let's multiply every term by -1.

-3 < -5 Now we have -3 is less than -5. Is that a true statement?

No, -3 is greater than -5, so in order to make it a true statement, we must reverse the sign.

This works with any true statement as long as you multiply or divide by a negative number. Go ahead, try another one. Write a true statement, and then divide by -2.

Ok... let's look at a few examples.

Our next example revisits how to solve equations and/or inequalities with variables on both sides.

Example 3: Variables on Both Sides and Dividing By a Negative Number

Let's take a look at how our new rule applies to solving equations. Pay special attention to the part where we divide by negative 1.

Our last example revisits how to solve equations and/or inequalities with fractions. I hope you remember the trick.

Example 4: Working with Fractions

Now are you ready for a few on your own?
Click here to move onto Solving Inequalities Practice Problems.
Need Help With Your Homework?

Try this calculator for step by step answers (with subscription).

# data[].attributes.attachment_link.description
Are you ready to dive into our solving inequalities unit? Let's do a very quick review of inequality basics that you probably first learned about in second grade. Always remember that inequalities do not have just one solution. There are always multiple solutions!

# data[].attributes.body
10 minute Video

# data[].attributes.body
tune of Pop Goes the Weasel

# data[].attributes.attachment_link.title
Quadratic Formula Songs- MathBitsNotebook(A1 - CCSS Math)

# data[].attributes.attachment_link.description
MathBitsNotebook Algebra 1 CCSS Lessons and Practice is free site for students (and teachers) studying a first year of high school algebra.

# data[].attributes.body
tune of "Pop Goes the Weasel"

# data[].attributes.attachment_link.title
The Quadratic Formula Song - With Harmony

# data[].attributes.attachment_link.entities[].name
Beginning Algebra & Addition Of Radicals

# data[].attributes.attachment_link.title
Pre-Algebra 31 - Simplifying Radical Expressions

# data[].attributes.attachment_link.description
We don't like knocking people down to size, but we do like simplifying radicals. Join us?

# data[].attributes.headline
Simplifying Radicals using a Factor Tree

# data[].attributes.subject
Simplifying Radicals using a Factor Tree

# data[].attributes.attachment_link.title
how to simplify radicals video - Google Search

# data[].attributes.body
12 min Video

# data[].attributes.attachment_link.title
Algebra Basics: The Distributive Property - Math Antics

# data[].attributes.body
9:40 min Video

# data[].attributes.body
11 min Video

# data[].attributes.headline
Roots and Exponents as Inverse Operations

# data[].attributes.subject
Roots and Exponents as Inverse Operations

# data[].attributes.body
12 min Video

# data[].attributes.attachment_link.title
Algebra Basics: Exponents In Algebra - Math Antics

# data[].attributes.body
10 min Video (Math Antics)

# data[].attributes.attachment_link.title
Algebra Basics: Graphing On The Coordinate Plane - Math Antics

# data[].attributes.body
Simplifying Polynomials

# data[].attributes.attachment_link.title
Algebra Basics: Simplifying Polynomials - Math Antics

# data[].attributes.body
What are polynomials?

# data[].attributes.attachment_link.title
Algebra Basics: What Are Polynomials? - Math Antics

# data[].attributes.attachment_link.title
Addition and Subtraction of Polynomials (Simplifying Math)

# data[].attributes.body
Lots of Examples (14 min)

# data[].attributes.body
Subtracting Polynomials 7 min