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 5 Page 29

How many cases do you have after you remove the absolute value?

$x = - 1 \frac{1}{2}$ and $x = - 5 \frac{1}{2}$

Practice makes perfect

Before we can solve this equation, we need to isolate the absolute value expression using the Properties of Equality.

4 ∣ 2 x + 7 ∣ = 16

$LHS / 4 = RHS / 4$

∣ 2 x + 7 ∣ = 4

Solving for $x$

An absolute value measures an expression's distance from a midpoint on a number line.

∣ 2 x + 7 ∣ = 4

A shortcut to better grades

Download the app and create a free account to view full content

Subchapter links

Communicate Your Answer p.27

Monitoring Progress p.28-31

Exercises p.32-34