Solving Advanced Absolute Value Equations

Lesson 2:

Solving Absolute Value Equations In One Variable

(more advanced)​

By Arav Sonawane, Dhruva SIngu, Nathan Gyang, Myles Gipson

Review from Lesson 1

As you know from Lesson 1, absolute value expressions take the value of the part inside the | | sign​ and find the distance from it to 0 on the number line. You also learned about how to solve linear equations in the form of:

|ax+b|=c. Today we will delve deeper into this topic and explore more forms of absolute value equations!​

Double Absolute Value Equations

Double linear absolute value expressions come in the form of |ax+b|=|cx+d|​To solve these you need to do 2 cases:

• ax+b=cx+d

• ax+b=-(cx+d)​

And then solve for x, giving you 2 solutions.​

A little bit more complex...

Now now, dont be scared... It's not THAT hard... :D

​

​These ​come in a more varied form:

1. ​|ax-b|=cx

2. ​ax|bx-c|=dx​

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Now please direct your attention where the solutions will be taught. :)​

​CHALLENGE PROBLEMS its ok if you dont know how to do them :)

​CHALLENGE PROBLEMS its ok if you dont know how to do them :)

​Answers:

1. 3, -3

​CHALLENGE PROBLEMS its ok if you dont know how to do them :)

​Answers:

1. 3, -3

2. ​-3,2

​CHALLENGE PROBLEMS its ok if you dont know how to do them :)

​Answers:

1. 3, -3

2. ​-3,2

3. ​-1