Solving Absolute Value Equations

3| −8x| + 8 = 80

• {-7/3, 7/3}
• {-3,3}
• {11/3,-11/3}
• No Solution

Tags

CCSS.6.NS.C.7C

-|−2r − 1| = 11

• {-6,5}
• {5,-6}
• -6
• No Solution

Tags

CCSS.6.EE.B.5

CCSS.6.NS.C.7

|−4 + 5x| = 16

• {16/5,12/5}
• {4,-5}
• {-12/5, 4}
• 4

Tags

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3

−2|−2r − 4| = -12

• {5,1}

• {-5,-1}

• {-5}

• No Solution

 |−2n| + 10 = −50

• {30, -30}
• {20,-20}
• {-5,5}
• No Solution

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

|v + 8| − 5 = 2 

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

Tags

CCSS.6.NS.C.7C

 |−2n| + 10 = −50

• {30, -30}
• {20,-20}
• {-5,5}
• No Solution

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

| x – 3 |= 0

• 3
• -3
• {-3, 3}
• no solution

Tags

CCSS.7.EE.B.3

Solve and check for extraneous solutions. 2|x + 5| - 6 = 8

• No Solution
• x  = 12 and x = -2
• x = -12 and x = 2
• x = -12

Tags

CCSS.HSA.REI.A.2

CCSS.HSA.REI.A.1