Ch 12: Functions & Inequalities: Smarter Balanced Math - Grade 11

About This Chapter

This chapter contains lessons that were designed to enhance your knowledge of functions and inequalities so you can do well on the Smarter Balanced Math - Grade 11 exam. You can log in from your mobile device to work on your program whenever you have a few minutes.

Functions & Inequalities: Smarter Balanced Math - Grade 11 - Chapter Summary

The lessons our experts have put together in this chapter will boost your understanding of functions and inequalities. Study them before taking the Smarter Balanced Math - Grade 11 exam. Improve your ability to answer test questions on such math topics as:

  • The meaning of an inequality in math
  • Graphs of 1- and 2-variable inequalities
  • Systems of inequalities, compound inequalities and set notation
  • Absolute value inequality solutions and graphs
  • Identification and notation of functions, and practice problems
  • Function domain and range
  • Addition, subtraction, multiplication and division of functions
  • Composition of functions

These video lessons average 5-10 minutes in length. They are hosted by our expert instructors and each includes a short quiz you can take for self-assessment as you go along. You can submit questions you have to the instructor. An end-of-chapter test will validate your understanding of the material.

8 Lessons in Chapter 12: Functions & Inequalities: Smarter Balanced Math - Grade 11
Test your knowledge with a 30-question chapter practice test
What is an Inequality?

1. 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!

How to Graph 1- and 2-Variable Inequalities

2. 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!

Set Notation, Compound Inequalities, and Systems of Inequalities

3. Set Notation, Compound Inequalities, and Systems of Inequalities

In this lesson, we'll explore the conditions of compound inequalities and learn how to express them using set notation and interval notation. Test you knowledge afterward with a short quiz.

How to Solve and Graph an Absolute Value Inequality

4. How to Solve and Graph an Absolute Value Inequality

Taking two skills and combining them to make a more complicated problem is a classic tactic in mathematics. If you feel confident with absolute values and inequalities, see if you can tackle them with their powers combined here!

Functions: Identification, Notation & Practice Problems

5. 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!

What Is Domain and Range in a Function?

6. What Is Domain and Range in a Function?

The domain and range are the possible outputs and inputs of a function. In this lesson, learn about what might restrict the domain and how to figure out the domain and range from a graph.

How to Add, Subtract, Multiply and Divide Functions

7. How to Add, Subtract, Multiply and Divide Functions

Adding, subtracting, multiplying and dividing functions is about as simple as substituting in expressions and then just doing whichever operation it asks you to do. Check out this video lesson to see some examples of this and learn just how easy it is!

How to Compose Functions

8. How to Compose Functions

Function composition is the process of putting two or more functions together. This video lesson will explain how this process works and also show you how to evaluate functions that have been composed.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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