Ch 10: ILTS Mathematics: Linear Relations & Functions

About This Chapter

Linear functions and relations are addressed in this chapter's engaging video lessons. Reviewing these lessons will get you ready for related questions on the ILTS Mathematics test.

ILTS Mathematics: Linear Relations & Functions - Chapter Summary

Better your skills at calculating the slope of a line as well as writing an augmented matrix by going through these video lessons. These lessons also will improve your grip on the following potential ILTS Mathematics exam topics:

  • Linearization
  • Characteristics of a matrix
  • Operations with vectors
  • Vector spaces
  • Function notation

The short video lessons help speed up the preparation process for the exam. Confirm your comprehension of the material by completing the practice quizzes and chapter exam.

8 Lessons in Chapter 10: ILTS Mathematics: Linear Relations & Functions
Test your knowledge with a 30-question chapter practice test
Linearization of Functions

1. Linearization of Functions

Over the river and through the woods to Grandmother's house we go ... Are we there yet? In this lesson, apply linearization to estimate when we will finally get to Grandma's house!

Calculating the Slope of a Line: Point-Slope Form, Slope-Intercept Form & More

2. Calculating the Slope of a Line: Point-Slope Form, Slope-Intercept Form & More

Being able to calculate the slope of a line is a very useful skill to have. Why? Watch this video lesson to find out and learn how to find the slope when working with various equations and various lines.

Functions: Identification, Notation & Practice Problems

3. Functions: Identification, Notation & Practice Problems

A function is simply a rule that takes one number and turns it into another. But some special conditions must apply for it to be a true mathematical function. Learn about those conditions and how we write functions here!

How to Solve a System of Linear Equations in Two Variables

4. How to Solve a System of Linear Equations in Two Variables

Watch this video lesson to learn how you can solve a system of linear equations in two variables by using the substitution method. Learn how easy it is to use on any linear system in two variables.

What is a Matrix?

5. What is a Matrix?

As math gets more and more complicated and there become more and more numbers flying around, it becomes really handy to put all these numbers in a nice organized grid... hello matrices! Learn about what they are and why there are used.

How to Write an Augmented Matrix for a Linear System

6. How to Write an Augmented Matrix for a Linear System

Watch this video lesson to learn how you can turn your system of equations into matrix form. The matrix form is another way of writing your linear system that is sometimes easier to work with.

Performing Operations on Vectors in the Plane

7. Performing Operations on Vectors in the Plane

After watching this video lesson, you should be able to add, subtract, and multiply your vectors. Learn how easy it is to perform these operations and what you need to keep in mind when performing these operations.

Vector Spaces: Definition & Example

8. Vector Spaces: Definition & Example

In this lesson, we'll discuss the definition and provide some common examples of vector spaces. We'll go over set theory, the axioms for vector spaces, and examples of axioms using vector spaces of the real numbers over a field of real numbers.

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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