Approaches to Solving Absolute Value Equations
Read this topicExplanations 3
- Way 1: Two Cases You can solve absolute value equations breaking them into two cases. For example, suppose you're given the equation: ∣x−5∣=4|x-5|=4∣x−5∣=4. Because of the way a…
By Jack Kiuttu, Zora Gilbert, Alex Federspiel, Jonathan Heller, Anusha Rahman
- A couple of things before we start this lesson. First, review the lesson on absolute values to make sure you've mastered that skill. Second, remember that absolute value can nev…
By Hannah Bonville, Zora Gilbert, Alex Federspiel, Jonathan Heller, Anusha Rahman
- (Video) Solving Absolute Value Equations by The Organic Chemistry Tutor In this video, The Organic Chemistry Tutor goes over how to solve absolute value equations. Summary Absol…
By Anusha Rahman
Problems 20
- Solve for xxx. ∣x∣+3=9|x|+3=9∣x∣+3=9
- Solve for xxx. ∣x−3∣=7|x-3|=7∣x−3∣=7
- Solve for xxx. 2=∣x+2∣2=|x+2|2=∣x+2∣
- Solve for xxx. 4∣2x−3∣−1=194|2x-3|-1=194∣2x−3∣−1=19 Select all correct answers.
- Solve for xxx. 3∣x−3∣=63|x-3|=63∣x−3∣=6
- Does ∣x−3∣=∣3−x∣|x-3|=|3-x|∣x−3∣=∣3−x∣?
- Solve for xxx. ∣4x+1∣−2=2|4x+1|-2=2∣4x+1∣−2=2
- Solve for xxx. ∣5(x−3)−6∣=14|5(x-3)-6|=14∣5(x−3)−6∣=14
- How many real solutions does the equation ∣x2−2∣=1|x^2 - 2| = 1∣x2−2∣=1 have?
- How many real solutions does the equation ∣x2−2∣=2|x^2 - 2| = 2∣x2−2∣=2 have?
- How many real solutions does the equation ∣x2−2∣=3|x^2 - 2| = 3∣x2−2∣=3 have?
- List the two points which are distance 333 away from the point 444 on the number line.
- Find all solutions to the equation ∣x2−6x+7∣=2|x^2-6x+7| = 2∣x2−6x+7∣=2.
- Solve ∣x∣2−∣x∣−6=0|x|^2 - |x| - 6 = 0∣x∣2−∣x∣−6=0 for all real values of xxx.
- ∣x∣|x|∣x∣ can be thought of as...
- ∣−2∣?∣2∣|-2| ? |2|∣−2∣?∣2∣
- Does ∣x∣=x|x| = x∣x∣=x?
- Does ∣x∣=−x|x| = -x∣x∣=−x?
- x=−∣19−3∣x = - |19-3|x=−∣19−3∣ Find xxx.
- Solve for xxx. 13∣4x−8∣=5213|4x-8|=5213∣4x−8∣=52