Examples with solutions for Equations with Absolute Values: Solving the problem

Exercise #1

x=5 \left|x\right|=5

Video Solution

Answer

Answers a + b

Exercise #2

6x12=6 \left|6x-12\right|=6

Video Solution

Answer

x=1 x=1 , x=3 x=3

Exercise #3

x10=0 \left|x-10\right|=0

Video Solution

Answer

x=10 x=10

Exercise #4

x+1=5 \left|x+1\right|=5

Video Solution

Answer

Answers a + b

Exercise #5

x=10 \left|-x\right|=10

Video Solution

Answer

x=10 x=-10 , x=10 x=10

Exercise #6

x+2=4 \left|x+2\right|=4

Video Solution

Answer

x=6 x=-6 , x=2 x=2

Exercise #7

3x12=3 \left|3x-12\right|=3

Video Solution

Answer

x=5 x=5 , x=3 x=3

Exercise #8

2x+6=1 \left|2x+6\right|=1

Video Solution

Answer

x=2.5 x=-2.5 , x=3.5 x=-3.5

Exercise #9

x3=4 \left|x-3\right|=4

Video Solution

Answer

x=1 x=-1 , x=7 x=7