Absolute Value Equations

|v + 8| − 5 = 2 

• {-1,-15}
• {-1,-5}
• {-15,15}
• No Solution

Tags

CCSS.6.EE.B.5

CCSS.6.NS.C.7

-|−2r − 1| = 11

• {-6,5}
• {5,-6}
• -6
• No Solution

Tags

CCSS.6.EE.B.5

CCSS.6.NS.C.7

−2|−2r − 4| = -12

• {3,1}

• {-5,1}

• {-3}

• No Solution

Solve for x.
2|x + 1| - 5 = 5

• x = 4 & x = 6
• x = -4 & x = 6
• x = -6 & x = 4
• no solution

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

What is the reason that absolute value is always written as a positive?

• Absolute value is talking about numbers so it must be positive.
• Absolute value does not always have to be positive.
• Absolute value is like a clock it has only positive numbers.
• Absolute value is talking about distance, distance is always measured by positive numbers.

Tags

CCSS.6.NS.C.7C

Solve. Select BOTH solutions.
 $\frac{\left|-1+x\right|}{5}=1$  

•  $-4$  

•  $7$  

•  $-5$  

•  $6$  

Tags

CCSS.7.EE.B.3

CCSS.7.EE.B.4

Sam's house is 14 blocks from the school. Emily lives 6 blocks from Sam. Use an absolute value equation to determine Emily's distance for the school. (Remember with distance, both values should be positive)

• |x + 6| = 10

  6, 14

• |x – 6| = 14

  20, 8

• |x – 14| = 6

  20, 8

• |x + 14| = 6

  6, 14

Tags

CCSS.HSA.CED.A.3

An extraneous solution is

• not a concern when solving absolute value equations
• an apparent solution that must be rejected because it does not satisfy the original equation

Tags

CCSS.HSA.REI.A.2

Your have money in your wallet, but you don't know the exact amount. When a friend asks you, you say that you have 50 dollars give or take 15. Write an absolute value equation to model this situation.

• |x-50|=15
• |x+15|=50
• |50+x|=15
• No Solution

Tags

CCSS.6.NS.C.7C

Solve for |x - 7| = |2x - 2|

(could have multiple answers)

• x = 5

• x = -5

• x = 3

• x = -3