Solving Absolute Value Equations

An absolute value equation can have which numbers of solutions?

(select all that apply)

• No Solution

• 1 Solution

• 2 Solutions

• 4 Solutions

Tags

CCSS.HSA.REI.D.11

The graphs here represent the two sides of an absolute value equation. How many solutions does the equation have?

• No solutions

• 1 solution

• 2 solutions

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

The graphs here represent the two sides of an absolute value equation. How many solutions does the equation have?

• No solutions

• 1 solution

• 2 solutions

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

For an absolute value equation to have ONE solution, which of the following should be true?

• |__| = +#

• |__| = -#

• |__| = 0

Tags

CCSS.HSA.REI.D.11

For an absolute value equation to have TWO solution, which of the following should be true?

• |__| = +#

• |__| = -#

• |__| = 0

Tags

CCSS.HSA.REI.D.11

For an absolute value equation to have NO solution, which of the following should be true?

• |__| = +#

• |__| = -#

• |__| = 0

Solve the absolute value equation:

 $\left|x\right|=6$  

• 1 solution: x=6
  

• 2 solutions: x=-6,6
  

• 1 solution: x=-6
  

• none of the above
  

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.11

Solve the absolute value equation:

 $\left|2x+1\right|=5$  

• 2 solutions: x=2,-3
  

• 1 solution: x=3
  

• 1 solution: x=2
  

• none of the above
  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve the absolute value equation:

 $-2\left|3x-1\right|=4$  

• 2 solutions: x=-1,1
  

• 1 solution: x=1/3
  

• no solution
  

• none of the above
  

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3

Select the absolute value equation:

 $3\left|x-4\right|-3=0$  

• no solution
  

• 1 solution: x=4
  

• 2 solutions: x=3,5
  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.D.11