body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

4. Solving Absolute Value Equations

Continue to next subchapter

Exercise 62 Page 34

What do you need to do to get from Equation 1 to Equation 2?

Addition Property of Equality

Practice makes perfect

Let's take a look at those two equations. We are asked to find the Property of Equality that makes them equivalent.

When comparing Equation 1 and Equation 2, we see that -1 has disappeared on the right-hand side in the second equation. For that to happen, 1 had to have been added to both sides of Equation 1. 3x+8 = x-1 ⇕ 3x+8+ 1=x-1+ 1 Let's simplify the resulting equation by adding the terms on both sides. 3x+8+1=x-1+1 ⇔ 3x+9=x We got the second equation. Since we were adding to both sides of an inequality, this property is called the Addition Property of Equality.

Subchapter links

Communicate Your Answer p.27

Monitoring Progress p.28-31

Exercises p.32-34