## Inverse Operations and Absolute Value properties

**Description:**

**Last Updated:**

**Subject(s):**- Mathematics
- Mathematics > Algebra

**Educational Level(s):**- Grades 9-10 / Ages 14-16
- Grades 11-12 / Ages 16-18

**Instructional Component Type(s):**- Curriculum: Unit

- Contributed By: Winpossible

### Getting started-Inverse operations

**Description:**

It is the introduction to the lesson which explains to you the basics of inverse operations. This will help you understand and learn the inverse operation in Algebra. Simply put, if an operation reverses another operation, then it is an inverse operation. The lesson also explains the concepts of additive and multiplicative inverse. For example, two numbers are called multiplicative inverses or reciprocal of each other if their product is 1. a is the reciprocal of b, if a·b = 1.

This FREE mini-lesson is a part of Winpossible's online course that covers all topics within Algebra I. Click on the video below to go through it. If you like it, you can buy our online course in Algebra I by clicking here.

**Last Updated:**

**Subject(s):**- Mathematics
- Mathematics > Algebra

**Educational Level(s):**- Grades 9-10 / Ages 14-16
- Grades 11-12 / Ages 16-18

**Instructional Component Type(s):**- Curriculum: Lesson Plan

It is the introduction to the lesson which explains to you the basics of inverse operations. This will help you understand and learn the inverse operation in Algebra. Simply put, if an operation reverses another operation, then it is an inverse operation. The lesson also explains the concepts of additive and multiplicative inverse. For example, two numbers are called multiplicative inverses or reciprocal of each other if their product is 1. a is the reciprocal of b, if a·b = 1.

This FREE mini-lesson is a part of Winpossible's online course that covers all topics within Algebra I. Click on the video below to go through it. If you like it, you can buy our online course in Algebra I by clicking here.

### Identify additive inverse

**Description:**

It explains the concept of the additive inverse and gives you several examples to understand it in depth. It also illustrates the representation of the additive inverse on the number line. Overall, if a + b = 0, then a is the additive inverse of b.

This FREE mini-lesson is a part of Winpossible's online course that covers all topics within Algebra I. Click on the video below to go through it. If you like it, you can buy our online course in Algebra I by clicking here.

**Last Updated:**

**Subject(s):**- Mathematics
- Mathematics > Algebra

**Educational Level(s):**- Grades 9-10 / Ages 14-16

**Instructional Component Type(s):**- Curriculum: Lesson Plan

It explains the concept of the additive inverse and gives you several examples to understand it in depth. It also illustrates the representation of the additive inverse on the number line. Overall, if a + b = 0, then a is the additive inverse of b.

### Identify multiplicative inverse

**Description:**

Here we will look at how to find the multiplicative inverse or the reciprocal. The video and several examples will help you understand how to find multiplicative inverses or reciprocals. Overall, if a·b = 1, then a is the reciprocal of b.

**Last Updated:**

**Subject(s):**- Mathematics
- Mathematics > Algebra

**Educational Level(s):**- Grades 9-10 / Ages 14-16
- Grades 11-12 / Ages 16-18

**Instructional Component Type(s):**- Curriculum: Lesson Plan

Here we will look at how to find the multiplicative inverse or the reciprocal. The video and several examples will help you understand how to find multiplicative inverses or reciprocals. Overall, if a·b = 1, then a is the reciprocal of b.

### Getting Started - Absolute value properties

**Description:**

It introduces and explains the concept of the absolute value which is nothing but a number's distance from 0 on the number line. The distance is always expressed as a positive value. With the help of video and more examples, you will learn how to find the absolute value of numbers. For example, the absolute values of -4.2 & 4.2 are both 4.2.

**Last Updated:**

**Subject(s):**- Mathematics
- Mathematics > Algebra

**Educational Level(s):**- Grades 9-10 / Ages 14-16
- Grades 11-12 / Ages 16-18

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**Instructional Component Type(s):**- Curriculum: Lesson Plan

It introduces and explains the concept of the absolute value which is nothing but a number's distance from 0 on the number line. The distance is always expressed as a positive value. With the help of video and more examples, you will learn how to find the absolute value of numbers. For example, the absolute values of -4.2 & 4.2 are both 4.2.

### Calculating absolute value

**Description:**

It explains how to find the absolute value of a function. It has several examples that will help you understand the concept of absolute value of functions. Overall, the mathematical formula for absolute value is: |x| = x, if x ≥ 0 |x| = -x, if x < 0

**Last Updated:**

**Subject(s):**- Mathematics
- Mathematics > Algebra

**Educational Level(s):**- Grades 9-10 / Ages 14-16
- Grades 11-12 / Ages 16-18

**Instructional Component Type(s):**- Curriculum: Lesson Plan

It explains how to find the absolute value of a function. It has several examples that will help you understand the concept of absolute value of functions. Overall, the mathematical formula for absolute value is: |x| = x, if x ≥ 0 |x| = -x, if x < 0

### Splitting an absolute value equation into two separate equations

**Description:**

It explains how to split an absolute value equation into two separate equations. An absolute value of an equation must be split into two separate equations to accommodate both the positive and negative potential outcomes. Overall, an equation of the form |x| = a can be split into two equations, which are x = + a and x = –a.

**Last Updated:**

**Subject(s):**- Mathematics
- Mathematics > Algebra

**Educational Level(s):**- Grades 9-10 / Ages 14-16
- Grades 11-12 / Ages 16-18

**Instructional Component Type(s):**- Curriculum: Lesson Plan

It explains how to split an absolute value equation into two separate equations. An absolute value of an equation must be split into two separate equations to accommodate both the positive and negative potential outcomes. Overall, an equation of the form |x| = a can be split into two equations, which are x = + a and x = –a.

### Graphing the solution set of an absolute value equation

**Description:**

In this section, you will learn how to draw the graph for the solution set of an absolute value equation. It explains how to graph the solution of the absolute value equation on a number line. The absolute value equation must be split into two separate equations, and both equations give different values. For example, |x| = 4, gives x = +4 or x = –4 or solution set {–4, 4}.

**Last Updated:**

**Subject(s):**- Mathematics
- Mathematics > Algebra

**Educational Level(s):**- Grades 9-10 / Ages 14-16
- Grades 11-12 / Ages 16-18

**Instructional Component Type(s):**- Curriculum: Lesson Plan

In this section, you will learn how to draw the graph for the solution set of an absolute value equation. It explains how to graph the solution of the absolute value equation on a number line. The absolute value equation must be split into two separate equations, and both equations give different values. For example, |x| = 4, gives x = +4 or x = –4 or solution set {–4, 4}.