lesson 1 problem solving practice integers and absolute value

Essential Question(s)

Apk ​(accessing prior knowledge), math vocabulary, check-in video, learning resources, additional learning resources, these videos are optional., in-class work, reflection/ summary, question(s)/ directions:, create a venn diagram in your in9.   compare and contrast opposite values and absolute values.   ​how are they alike  how are they different, level c homework.

If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

To log in and use all the features of Khan Academy, please enable JavaScript in your browser.

Course: 6th grade   >   Unit 5

• Comparing absolute values on the number line
• Compare and order absolute values
• Placing absolute values on the number line
• Comparing absolute values
• Testing solutions to absolute value inequalities
• Comparing absolute values challenge

Interpreting absolute value

• Negative numbers FAQ

• (Choice A)   Indoor A Indoor
• (Choice B)   Outdoor B Outdoor

If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

To log in and use all the features of Khan Academy, please enable JavaScript in your browser.

Grade 6 (Virginia)

Course: grade 6 (virginia)   >   unit 1.

• Absolute value examples

Intro to absolute value

• Meaning of absolute value
• Finding absolute values
• Absolute value review

Let's practice!

• Your answer should be
• an integer, like 6 ‍  
• a simplified proper fraction, like 3 / 5 ‍  
• a simplified improper fraction, like 7 / 4 ‍  
• a mixed number, like 1   3 / 4 ‍  
• an exact decimal, like 0.75 ‍  
• a multiple of pi, like 12   pi ‍   or 2 / 3   pi ‍  

The absolute value symbol

Want to join the conversation.

• Upvote Button navigates to signup page
• Downvote Button navigates to signup page
• Flag Button navigates to signup page

• English Language Arts
• Graphic Organizers
• Social Studies
• Teacher Printables
• Foreign Language

Home > Math Worksheets > Integers > Absolute Value

Absolute value is simply a measure of how far an integer is from zero on a number line. If look at the number line, ten and negative ten are exactly ten places from zero. This is a measure of how far a value spans from zero. There is no need to regard a positive or negative value. As a result both ten and negative ten have an absolute value of ten. This basically tells us that if we are looking for the absolute value of any positive or negative integer it would have to be positive. The absolute value symbol is denoted by the use of bars (|) surrounding the integer (for example |-12|).

The equation which possesses the absolute value of the solution is the one which can be declared as the absolute value. The answer should be a real number as it represents the distance from the number line. For example, if it is a=|7| then the distance that the digit 7 travels from the zero on the number line is called the absolute value of that number. This has many different applications in the real world. A common measure that is used in this regard is distance. It also has many uses in the financial industry it allows mathematicians to calculate revenue and interest. The business world thrives on the use of this measure. These worksheets explain how to solve equations using absolute value. This skill will serve a much broader purpose when we get to higher levels of algebra.

Get Free Worksheets In Your Inbox!

Absolute value worksheets, click the buttons to print each worksheet and answer key., absolute value lesson and practice.

Students will learn how to solve equations using absolute value. A sample problem is solved and two practice problems are provided.

Absolute Value Worksheet

Ten problems are provided. Example Problem: If the domain is the set of signed numbers, find the solution set for: |x| = 23

Students will solve the equations using absolute value. Ten problems are provided.

Review and Practice

Example exercises: 1) Find the value of the number expression |-11| 2) Simplify: |(12-11|+|-35|

Students demonstrate their proficiency solving equations using absolute value. Ten problems are provided.

Class Check

A good way to see where your class is at with this skill. Three problems are provided, and space is included for students to copy the correct answer when given.

Lesson and Practice

This lesson breaks it down like: solving for - │35 + - 25│ First term is 35 and the second term is -25.

Skill Worksheet

Students will determine the absolute value of a series of operations that they need to process. Ten problems are provided.

Find the Absolute Value Practice

Put everything together to get this rolling in the right direction.

This worksheet reviews how to process complex operations that include this skill to get into the next level.

Students demonstrate their proficiency with working with this skill. Ten problems are provided.

Three problems are provided, and space is included for students to copy the correct answer when given.

Absolute Value Equations Lesson and Practice

Students will solve the absolute value equations and check their work. A sample problem is solved and two practice problems are provided.

Students gain experience solving equations that include this skill and checking their work. Ten problems are provided.

Practice Worksheet

Students will first solve the AV equations and then check their work. Ten problems are provided.

This worksheet offers a wide array of problems that include the use of this skill and helps them expand on to the next level.

Students demonstrate their proficiency solving these types of equations and checking their work. Ten problems are provided.

Students will solve for the variable in different types of equations and check their work. Three problems are provided, and space is included for students to copy the correct answer when given.

Determining Absolute Value Lesson

This worksheet explains how to find the end result of a given expression. A sample problem is solved.

This problem is worked through top to bottom: Look at the given expression carefully. Here, we have a negative 60 and a positive 26. Subtract 60 from 26.

This worksheet will have you combining a bunch of different operations.

We are working on the same skill with just more reps to get our brain muscles in shape.

Students will practice finding the end value of a series of expression. Eight problems are provided.

Students demonstrate skill finding the absolute value of a given expression. Three problems are provided.

Solving Absolute Value Questions Lesson

To find the absolute value of any number just "forget the minus sign", if present inside the modulus sign. If there is no negative sign in front of the number inside the modulus sign then its absolute value will be same as the number i.e. modulus of any positive number is remain unchanged.

To find the modulus of any number whether it is positive or negative its output will be positive (Consider only the inner expression of modulus).

Solving Questions Worksheet

We draw operation outside of the symbols and see what students do with them.

Solving Practice

More work on guess what skill?

More Question Drill

I would take a look at each of the questions that are available here.

Questions Warm Up

Students demonstrate skill solving absolute value questions. Three problems are provided.

Basic Skills Worksheet

Students will find the resulting value of these expressions. Ten problems are provided.

Basic Skills Practice

More practice problems for you to work through.

Intermediate Skills Worksheet

Students will find the absolute value in these intermediate-level problems. Eight problems are provided.

Intermediate Skills Practice

Another set of problems for you to cruise through. Ten problems are provided.

Intermediate Skills Drill

Students will gain proficiency in finding the outcome of these intermediate-level problems. Ten problems are provided.

Opposites and Absolute Value Lesson

This worksheet explains how to find two numbers whose absolute value is equal to the given value. A sample problem is solved.

Students will review and practice finding two numbers whose absolute value is equal to the given value. A sample problem is solved and two practice problems are provided.

Students will find the indicated absolute values to complete the chart. Ten problems are provided.

Opposites and Absolute Value Practice

Students will compare two integers and write the difference between the two. Ten problems are provided.

Students will practice finding the two numbers whose absolute value is equal to the given value. Eight problems are provided.

Opposites Warm Up

Students demonstrate show well they can do with this work. Three problems are provided.

Teaching Integers and Absolute Value (7th Grade)

In the 7th grade, children begin to understand the absolute value of integers and can interpret absolute value as magnitude for both positive and negative quantities in diverse real-life situations.

To help students achieve mastery of integers and absolute value (7th grade level), math teachers can prepare simple strategies for their lessons. We’ve compiled a list of several such strategies in this article, all of which will make teaching integers and absolute value an absolute breeze!

Integers and Absolute Value (7th Grade) Definition

When teaching about integers, define an integer as a whole number that can be positive or negative . Then, you can provide examples of integers, such as -38, -2, 25, 9, -12, etc. Also, check their knowledge of whole numbers by asking if some of the following numbers are integers: -1.54, 9.3, ⅓.

The absolute value of a number refers to the distance of that number from 0 . Point out that we use one vertical bar on each side of the given number to represent absolute value. For instance, the absolute value of -5 is represented as |-5|.

Highlight that we can calculate the absolute value of both positive and negative integers and that negative integers are where things get interesting in terms of absolute value. Explain this with more practical examples, such as the ones in the following paragraphs.

After providing the definitions of integers and absolute value, draw a big number line on the whiteboard to provide examples. Use markers with different colors, so that it’s even clearer. Now provide a few examples of graphing integers on the number line, such as:

• The temperature dropped 10 degrees below zero;
• An increase of 5 points;
• It was 31 feet below sea level;

Explain that each integer has an opposite integer , for instance, the opposite of -34 is +34 and the opposite of 125 is -125. Now use the number line to present this visually again, by asking students to graph an integer and its opposite on the number line.

For example, by asking them to graph -6 and its opposite, they’ll get the following:

Now remind them of the definition of absolute value, that is, the absolute value of a given number is its distance from zero. Provide an example on the number line, for instance, ask children what the absolute value of 9 is.

By applying our definition, children will easily observe on the number line that the distance of 9 from 0 is 9. So the absolute value of 9 is 9, in other words, |9| = 9 . Finding the absolute value of positive integers seems obvious, but as mentioned above, negative integers can be trickier.

To help students understand how to find the absolute value of negative integers, remind them that distance is always a positive quantity . This means that even if we’re asked to find the absolute value of -9, we’ll still have a positive quantity, that is, |-9| = 9 .

Why? Well, according to our definition of absolute value, the absolute value of a number is the distance of that number from 0, so the distance from 0 to 9 is 9, but also, the distance from 0 to – 9 is 9 (we’ll move 9 spaces on the number line again). Use the number line to present this.

If you have the technical equipment in your classroom, you can also use this video by Khan Academy. It’s a great resource for explaining absolute value, as it contains colorful and engaging examples.

Evaluating Expressions with Absolute Value

Once students are comfortable with graphing integers and finding the absolute values of positive and negative numbers, they can move on to more complex tasks, such as evaluating expressions with absolute value .

For example, show students how to evaluate the following expressions:

A) 54 – |+44| – |-8| =

54 – 44 – 8 =

10 – 8 =

B) |-24| – |8| x |-5| = ___ 4

24 – 8 x 5 = ___ 4

6 – 40 =       -34

Activities to Practice Integers and Absolute Value (7th Grade)

Absolute value millionaire game.

This online math game is a twist on the popular TV show ‘Who Wants to Be a Millionaire?’. Math Millionaire consists of several math questions related to integers and absolute value while offering multiple answers.

After answering a question correctly, students earn a money prize. The money prizes vary according to the difficulty of the problem. For example, for an easier question where children have to answer what is the absolute value of |-7|, they get 10$, whereas for evaluating an expression such as |8 x (-7)|, they get 40$.

To prepare for the game, make sure there are enough technical devices for all students in the classroom, such as computers, iPads, or other tablets. The game is played individually, which means that homeschooling parents can also use it to practice with their children.

Absolute Value Matching Game

This is a simple game that requires very little prep work. You’ll need to create two sets of cards, and mark them with different colors, For example, if one set is green, the other one can be red.

Create math questions related to absolute value on one set and answers on the other set.

For example, if you have – | – 547 | in the red cards, make sure you have the solution in the green cards, that is – 547. Or if you have |½ – 20| in the red cards, you need to have 39/2 in the green ones. Include a mixture of easier and more challenging tasks.

• Divide students into groups of 3 or 4.
• Place the two piles of cards in the middle of each group. The cards should be facing downward.
• Explain the rules of the game and tell children that each member of the group works closely with the others to match the green cards with the red cards.
• After you’ve explained the rules of the game, children can open the cards and start playing.
• The first group that manages to match all cards wins the game!
• Play as many rounds as time allows or until children get tired.

If you’re a homeschooling parent, adjust the game by turning it into an individual game and simply place the sets of cards in front of your child and ask them to match them.

Before You Leave…

If you’ve enjoyed these math strategies for teaching integers and absolute value, you’ll love our lesson that’s dedicated to this topic. So if you need guidance to structure your class and teach this, make sure to sign up for more free resources here !

You can also sign up for our membership MathTeacherCoach or head over to our blog – you’ll find plenty of awesome resources that are guaranteed to help you in your teaching!

This article is based on:

Unit 1 – Algebraic Expressions and Integers (Sign Up Required)

• 1-1 Place Value
• 1-2 Variables and Expressions
• 1-3 The Order of Operations
• 1-4 Writing and Evaluating Expressions
• 1-5 Integers and Absolute Value
• 1-6 Adding Integers
• 1-7 Subtracting Integers
• 1-8 Problem-Solving Rounding and Estimating
• 1-9 Inductive Reasoning
• 1-10 Patterns
• 1-11 Multiplying and Dividing Integers
• 1-12 The Coordinate Plane

Share this:

• Click to share on Twitter (Opens in new window)
• Click to share on Facebook (Opens in new window)
• Click to share on Pinterest (Opens in new window)
• Click to share on Reddit (Opens in new window)
• Click to share on LinkedIn (Opens in new window)
• Click to email this to a friend (Opens in new window)

Leave a Reply Cancel reply

Your email address will not be published. Required fields are marked *

Notify me of follow-up comments by email.

Notify me of new posts by email.

• Kindergarten
• Greater Than Less Than
• Measurement
• Multiplication
• Place Value
• Subtraction
• Punctuation
• 1st Grade Reading
• 2nd Grade Reading
• 3rd Grade Reading
• Cursive Writing

Word Problem Practice Integers And Absolute Value Chapter 1

Word Problem Practice Integers And Absolute Value Chapter 1 - Displaying top 8 worksheets found for this concept.

Some of the worksheets for this concept are Absolute value word problems homework, Answers lesson 1 1, Word problem practice workbook, Absolute value, Word problems with integers, Integers and absolute value, Solving absolute value equations, Addingsubtracting integers date period.

Found worksheet you are looking for? To download/print, click on pop-out icon or print icon to worksheet to print or download. Worksheet will open in a new window. You can & download or print using the browser document reader options.

1. Absolute Value Word Problems Homework

2. answers (lesson 1-1), 3. word problem practice workbook, 4. absolute value, 5. 7. word problems with integers, 6. 1.1 integers and absolute value, 7. solving absolute value equations, 8. adding/subtracting integers date period.

Pre-Algebra: Integer Operations, Absolute Value, Exponents & Square Roots

Class experience

Us grade 4 - 7, beginner - intermediate level, follows teacher-created curriculum, aligned with common core state standards (ccss) .css-1gf0lzu{-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none;user-select:none;width:1em;height:1em;display:inline-block;fill:currentcolor;-webkit-flex-shrink:0;-ms-flex-negative:0;flex-shrink:0;-webkit-transition:fill 200ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;transition:fill 200ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;font-size:inherit;vertical-align:-0.125em;color:#380596;margin-left:0.4rem;}, homework offered, assessments offered, grades offered.

• Google Jamboard
• Google Forms
• Google Slides

Self-Paced Class

Financial assistance  , outschool international  , get the app  .

More to Explore  

Classes by age  , classes by grade  .

Equip yourself and your students for success!

Intro to Integers, Absolute Value, and Distance

Positives & Negatives

It is important to have a strong conceptual understanding of negative numbers for both the non-calculator section of the the GED ® Math test and in order to provide a strong foundation for the algebra that the majority of the test consists of. 

STEP 1: WATCH THE VIRTUAL CLASS VIDEO AND TAKE NOTES

Make sure to note the following:.

How to graph numbers and their opposites on the number line.

The definition of absolute value and its symbol. 

The relationship between distance and absolute value.

The relationship between distance and difference. 

How to use the number line to find the difference between two numbers.

Ask a Question

Do you have a question about the class video, practice, or example problems? Post a picture to our FB group for immediate assistance. Be sure to include the lesson name and level in your post. 

STEP 2: COMPLETE ONE LEVEL OF PRACTICE

Preparing for algebra? Practice conceptualizing negative numbers, locating them on the number line, and finding their distance from 0.

Printable Beginner Worksheet

EXPERIENCED

Ready to see how this skill applies to algebra? Find the difference between signed numbers, deepen your conceptualization of negative numbers, and learn to distinguish between opposites and absolute value.

Printable Experienced Worksheet

Already skilled at basic algebra? Practice these GED ® style applications: writing algebraic expressions and finding the distance between signed numbers including fractions and decimals.

Printable Advanced Worksheet

NEED MORE HELP? CHECK OUT THE SOLUTION VIDEOS 

Beginner Solutions Playlist

Experienced Solution Playlist

Advanced Solution Playlist

<--- Previous Lesson

Next Lesson --->

Chapter 2, Lesson 1: Integers and Absolute Value

• Extra Examples
• Personal Tutor
• Self-Check Quizzes

The resource you requested requires you to enter a username and password below:

Please read our Terms of Use and Privacy Notice before you explore our Web site. To report a technical problem with this Web site, please contact the site producer .

Chapter 1, Lesson 3: Integers and Absolute Value

• Extra Examples
• Group Activity Cards
• Personal Tutor
• Self-Check Quizzes

The resource you requested requires you to enter a username and password below:

Please read our Terms of Use and Privacy Notice before you explore our Web site. To report a technical problem with this Web site, please contact the site producer .