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NAME DATE PERIOD 25 Skills Practice Solving Equations Involving Absolute Value Evaluate each expression if a 2, b 3, and c 4. 1. 2. + + 3. + 4. + Solve each equation. Then graph the solution set.

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Most "solving by graphing" system-of-equations problems work nicely, but sometimes they'll give you a system of equations that is a special case. These special cases are (1) an inconsistent system or (2) a dependent system.

Absolute values must be solved for values greater than or equal to zero, and less than zero. Two equations must be performed, one for positive values and the other for negative values. Absolute values will have two solutions when they are equations, functions, in the inequalities that will give a set of results.

Case 1: The expression inside the absolute value bars is positive. Case 2: The expression inside the absolute value bars is negative. Take the expression | 4 x + 2 | = 18 as an example. You need to solve both equations to get the correct answers to the absolute value equation.

Key Takeaways To solve an absolute value equation, such as |X|=p, replace it with the two equations X=−p and X=p. ... To solve an absolute value inequality involving “less than,” such as |X|≤p, replace it with the compound inequality −p≤X≤p and then solve as usual.

Answer and Explanation: Absolute values will have two solutions when they are equations, functions, in the inequalities that will give a set of results. For a specific number with an absolute value, it will only have one result which will always be positive.

If you have: |x+a|=a positive number, you usually get 2 solutions. If you have: |x+a|=a negative number, then it has no solution.

The precise term in "non-negative." Absolute value is a magnitude and is either positive or zero. Zero is neither positive nor negative. But the absolute value of any non-zero number can be thought of as it's distance from zero and it will always be positive.

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Form Packages
Adoption
Bankruptcy
Contractors
Divorce
Home Sales
Employment
Identity Theft
Incorporation
Landlord Tenant
Living Trust
Name Change
Personal Planning
Small Business
Wills & Estates
Packages A-Z
Form Categories
Affidavits
Bankruptcy
Bill of Sale
Corporate - LLC
Divorce
Employment
Identity Theft
Internet Technology
Landlord Tenant
Living Wills
Name Change
Power of Attorney
Real Estate
Small Estates
Wills
All Forms
Forms A-Z
Form Library
Customer Service
Terms of Service
DMCA Policy
About Us
Blog
Affiliates
Contact Us
Privacy Notice
Delete My Account
Site Map
All Forms
Search all Forms
Industries
Forms in Spanish
Localized Forms
Legal Guides
Real Estate Handbook
All Guides
Prepared for You
Notarize
Incorporation services
Our Customers
For Consumers
For Small Business
For Attorneys
Our Sites
US Legal Forms
USLegal
FormsPass
pdfFiller
signNow
airSlate workflows
DocHub
Instapage
Social Media
Call us now toll free:
1-877-389-0141
As seen in:
  • USA Today logo picture
  • CBC News logo picture
  • LA Times logo picture
  • The Washington Post logo picture
  • AP logo picture
  • Forbes logo picture
© Copyright 1997-2025
airSlate Legal Forms, Inc.
3720 Flowood Dr, Flowood, Mississippi 39232