Solving Absolute Value Equations

What is the solution to the equation: |x + 4| = |2x - 7|?

• x = 3

• x = -11

• x = 11

• x = -3

What is the solution to the equation: |3x + 5| = |x - 6|?

• x = 0.5 or x = -5.5

• x = 0.5 or x = 5.5

• x = -0.5 or x = 5.5

• x = -0.5 or x = -5.5

What is the solution to the equation: |x - 9| = |x + 6|?

• x = 0

• x = 7.5

• x = -7.5

• x = 15

When solving absolute value EQUATIONS, first ​ (a)   , then ​ (b)   , then ​ (c)  

• isolate the absolute value bars
• split into two equations
• solve both equations
• undo the adding or subtracting
• undo the equals sign

• 25
• -25
• 20
• -30
• 18
• 30
• -20
• 5
• -5

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

• x=-4

• x=-4,-7/5

• x=-7/5

• x=-7/5,4

An extraneous solution is a solution that appears to be true but when you plug it into the equation you get a ​ (a)   solution.

• False
• True

Match the following

• no solution

• two solutions

• one solution

Tags

CCSS.HSA.REI.A.1

• x=-2,-6/7

• x=-6/7,2

• x=2

• x=-6/7

Solve the following equation:

3| −8x| + 8 = 80

• {−7/3, 7/3}

• {−3, 3}

• {11/3, −11/3}

• No Solution

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3