# 2.2 Solving Absolute Value Equations Worksheet Answers

2.2 Solving Absolute Value Equations Worksheet Answers – In the above example, we can see that the number 5 is 0 to 5, so the absolute value of 5 is 5.

We can also see that the number 2 is 2 away from 0. So the absolute value of -2 is 2.

## 2.2 Solving Absolute Value Equations Worksheet Answers

The opposite of a number is the number on the opposite side of the number line equal to 0.

#### Algebra 2 1 6 Complete Lesson: Absolute Value Equations And Inequalities

In the example above, we can see that the opposite of 4 is the same distance as 0 on the opposite side of the number line, which is -4.

We have a number of different absolute value worksheets for different abilities and age levels for grades 6 and up.

This worksheet involves comparing the values ​​of different expressions involving absolute values ​​and placing the appropriate symbols (>, < or =) between the two expressions.

If you’re looking for simple algebra worksheets to use with your kids to help them understand simple equations, check out our Basic Algebra Worksheets.

### Worksheet 1 On Inequalities And Absolute Value

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### Definition, Properties And Graphing Of Absolute Value

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This quick quiz will test your knowledge and skills using absolute and inverse values. There are also some computational problems with absolute values.

Math Salamanders hopes you enjoy using these free printable math worksheets and our other math games and resources.

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## Intro To Absolute Value Equations And Graphs (video)

If you are a regular visitor to our website and appreciate all that we do, please consider making a donation to help pay for it. 1/18/2019 Absolute Value Equation 1.7 1/18/2019 3:38 AM 1/18/2019 3:38 AM 1.7: Solving the Absolute Value Equation 1

Absolute value is defined as the distance from zero. When plotted in absolute value, it is formed as “v” >, , <or = points must be closed or bracketed solution must be rejected because it does not satisfy the original. Equations 1/18/2019 3:38 AM 1.7: Solving Absolute Value Equations

1/18/2019 Quick Example 1) What is the absolute value of 25? 2) | -25 | = x, what is x? 3) | x| = 25, what is x? 1/18/2019 3:38 AM 1.7: Solving Absolute Value Equations

Jan 18, 2019 Faster Examples | π – 3| | 3 – π| 1/18/2019 3:38 AM 1.7: Solving Equation 4 with Absolute Values

## Solving Absolute Value Equations

Jan 18, 2019 Steps to Solving Absolute Value Equations Write two equations, one with a positive answer and one with a negative answer. Solve each equation by plugging in. Check each solution to make sure there are no redundant solutions. 1.7: The absolute resolution value is 5

1/18/2019 Example 1 Solution | x – 4 | = 9 and list any external solutions. 1/18/2019 3:38 AM 1.7: Solving Absolute Value Equations 6

1/18/2019 Solution to Example 2 | 2x + 12 | = 4x ​​and list any solutions. 1/18/2019 3:38 AM 1.7: Solving Absolute Value Equations 7

1/18/2019 it’s your turn | 4x – 1| = 2x + 9 and list any external solutions

#### Solving Absolute Value Equations Foldable

1/18/2019 Example 3 Solution | 2x + 5| – 3 = 8 and list any external solutions

1/18/2019 Example 4 2 | x + 1 | Solve for = 14 and list the outer solutions. 1/18/2019 3:38 AM 1.7: Solving Equation 10 with Absolute Values

1/18/2019 Fix Your Cycle 8 | 3x – 10| – 12 = 20 and list any solutions. 1/18/2019 3:38 AM 1.7: Solving Absolute Value Equations 11

1/18/2019 Example 5 Solutions | x + 4| = 3x – 8 and list the external solutions. 1/18/2019 3:38 AM 1.7: Solving Absolute Value Equations 12

#### How To Solve Absolute Value Equations?

1/18/2019 Example 6 Solution | 3x + 1 | = | 2x + 3| and listing external solutions. 1/18/2019 3:38 AM 1.7: Solving Absolute Value Equations 13

1/18/2019 it’s your turn | x + 1 | = | x − 1 | and list any external solutions. 1/18/2019 3:38 AM 1.7: Solving Absolute Value Equations 14

1/18/2019 Example 7 Solution | 3x – 1| = 0 and list all external solutions. 1/18/2019 3:38 AM 1.7: Solving Equation 15 Using Absolute Values

1/18/2019 Example 8 Solution | 5x – 1 | = –2 and list any solutions. 1/18/2019 3:38 AM 1.7: Solving Absolute Value Equations 16

## Algebra 1 Notes

1/18/2019 Example 9–2 | x + 1 | Solve for = 14 and list any external solutions. 1/18/2019 3:38 AM 1.7: Solving Absolute Value Equations 17

1/18/2019 it’s your turn | x + 1 | = | x − 1 | and list any external solutions. 1/18/2019 3:38 AM 1.7: Solving Absolute Value Equations 18

1/18/2019 Example 10 Solution | x| +| x + 3 | = 3 and solve any mystery 1/18/2019 3:38 AM 1.7: Solving Absolute Value Equations 19

1/18/2019 is your turn to solve | x| +| x – 5| = 5 and list the external solutions. 1/18/2019 3:38 AM 1.7: Solving 20 Equations with Absolute Values

#### Absolute Value Notes And Worksheets

For the proper functioning of this website, we record and share user data with processors. To use this website, you must agree to our privacy policy, including our cookie policy. Learn how to solve absolute value equations in 3 easy steps! The following step-by-step guide shows you how to solve absolute value equations and absolute value functions. easy (algebra)

Welcome to this free course guide to Solving Absolute Value Equations, where you’ll learn answers to the following key questions and information:

This complete guide to solving absolute value equations includes many examples, step-by-step tutorials, and animated tutorials.

Introduction to Solving Absolute Value Equations Before we look at some absolute value equation examples, let’s quickly review some important information:

#### Solving Absolute Value Equations Worksheet

Note that the absolute value graph in Figure 1 shows that the range of values ​​for y is greater than or equal to 0 (never negative).

This makes sense when plotting the line y = 5 on an absolute value function plot because you can see that there are two intersections and therefore two possible solutions.

We use the following 3-step procedure to solve the absolute value equation:

In this example, the absolute value is split to one side of the equals sign, meaning there are no other terms outside of the absolute value, so you can skip to step two.

### Absolute Value Exploration: Making Absolute Value Clear

For the second step, you can replace the original equation with | x + 3 | = 6 and split it into two equations, one for positive 6 and one for negative 6. You are also out of the absolute value chain.

Finally, to ensure that both answers are correct, back the original equation | x + 3 | = 6 for a quick check:

As in the previous example, the absolute value on one side of the equals sign is not divided, because +8 is outside it, so it must be shifted to the following side:

Now that you have isolated the absolute value of one side of the equation, you can move on to the next step.

## Equations And Inequalities And Absolute Value Worksheet

The last step is to add the two solutions x = 3 and x = 1 to the original equation 2x-4| + 8 = 10 and make sure each solution is checked.

The absolute value calculator basically explains how to plot and solve absolute value equations to find the X and Y intervals of a function!

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