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Ch 17: Graphing Linear Equations & Inequalities: Tutoring Solution

About This Chapter

The Graphing Linear Equations & Inequalities chapter of this SAT Mathematics Level 2 Tutoring Solution is a flexible and affordable path to learning about linear equations and inequalities. These simple and fun video lessons are each about five minutes long, and they teach all of the graphing methods for linear equations and inequalities required in a typical math course.

How it works:

  • Begin your assignment or other SAT math work.
  • Identify the linear equations and inequalities concepts that you're stuck on.
  • Find fun videos on the topics you need to understand.
  • Press play, watch and learn!
  • Complete the quizzes to test your understanding.
  • As needed, submit a question to one of our instructors for personalized support.

Who's it for?

This chapter of our SAT Mathematics Level 2 Tutoring Solution will benefit any student who is trying to learn about graphs of linear equations and inequalities to prepare for the subject test. This resource can help students, including those who:

  • Struggle with understanding the standard form of a linear equation, zero and undefined slopes, graphs of 1- and 2-variable inequalities, the point-slope formula, dilations and reflections, the midpoint formula or any other linear equations and inequalities topic
  • Have limited time for studying
  • Want a cost effective way to supplement their math learning
  • Prefer learning math visually
  • Find themselves failing or close to failing their linear equations and inequalities unit
  • Cope with ADD or ADHD
  • Want to excel on the SAT Mathematics Level 2 subject test
  • Don't have access to their math teacher outside of class

Why it works:

  • Engaging Tutors: We make learning about linear equations and inequalities simple and fun.
  • Cost Efficient: For less than 20% of the cost of a private tutor, you'll have unlimited access 24/7.
  • Consistent High Quality: Unlike a live math tutor, these video lessons are thoroughly reviewed.
  • Convenient: Imagine a tutor as portable as your laptop, tablet or smartphone. Learn about linear equations and inequalities on the go!
  • Learn at Your Pace: You can pause and re-watch lessons as often as you'd like, until you master the material.

Learning Objectives

  • Determine if a function is linear, increasing or decreasing, positive or negative.
  • Understand intercepts and standard form in linear equations.
  • Review how to find and apply the slope and intercepts of a line.
  • Learn to graph undefined slope and zero slope.
  • Study methods for graphing 1- and 2-variable inequalities.
  • Learn to do transformations and graph absolute value equations.
  • Practice using the distance and midpoint formulas.

12 Lessons in Chapter 17: Graphing Linear Equations & Inequalities: Tutoring Solution
Test your knowledge with a 30-question chapter practice test
Identify Where a Function is Linear, Increasing or Decreasing, Positive or Negative

1. 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.

Linear Equations: Intercepts, Standard Form and Graphing

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.

How to Find and Apply The Slope of a Line

3. 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.

How to Find and Apply the Intercepts of a Line

4. 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.

Graphing Undefined Slope, Zero Slope and More

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!

How to Graph 1- and 2-Variable Inequalities

6. 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!

Graphing Inequalities: Practice Problems

7. 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.

Equation of a Line Using Point-Slope Formula

8. 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.

How to Graph an Absolute Value and Do Transformations

9. How to Graph an Absolute Value and Do Transformations

Absolute value graphs normally look like the letter 'V', but transformations can change that 'V' in a number of different ways. As well as teaching you how to graph absolute values, this video will focus on a specific group of transformations called translations. Learn all about what that means here!

Graphing Absolute Value Equations: Dilations & Reflections

10. Graphing Absolute Value Equations: Dilations & Reflections

Although a basic absolute value graph isn't complicated, transformations can make them sufficiently confusing! In this lesson, you'll practice different transformations of absolute value graphs.

How to Use The Distance Formula

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!

How to Use The Midpoint Formula

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.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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