Absolute Value Equations, Part 1. Online Test

The sum of the roots of the equation x + | x - 2 | = 10 rounded to the nearest tenth is

2


The number of the roots of the equation | 5x - 10 | + | x | = | x - 3 | + 3 is


2

The sum of the roots of the equation | x - 4x | = 3

is


2

The sum of the roots of the equation | 2x - 1 | = 4x - 3 is


2

The product of the roots of the equation | x - 5x + 3 | = | x - 5 | is


2

The sum of the roots of the equation | x - 1 | + | x + 1 | = 0 equals


The equation | x - 1 | + | x + 1 | = 2 has


The sum of the roots of the equation | | x + 2 | - 3 | = 1 is


The sum of the roots of the equation | | x - 3 | - x | = 2x is


2

The sum of the roots of the equation | x + x - 2 | + | x - 1 | = 2 | x + 2 | + 2 is































Description:

Problems involving absolute values are pretty common for IIT JEE exams. IIT aspirants must be familiar with the notion of absolute value and be fluent in applying varies technique for dealing with this type of problems. This test checks the ability to solve equations involving absolute values. Although almost all the problems could be solved using interval method, in many cases it is time consuming. Try to solve this test yourself. If you find that some of the equations are pretty difficult or time consuming, attend my public class to get advantages of varies technique that allow you to solve these problems effectively in a short period of time. Then try to complete test 2 with more complicated equations involving absolute values.

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Vladimir Louzguine
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Absolute Value Equations, Part 2.
10 Questions | 96 Attempts