Absolute Value Equations

-|−2r − 1| = 11

• {-6,5}
• {5,-6}
• -6
• No Solution

Tags

CCSS.6.EE.B.5

CCSS.6.NS.C.7

|v + 8| − 5 = 2 

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

Tags

CCSS.6.EE.B.5

CCSS.6.NS.C.7

3| −8x| + 8 = 80

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

Tags

CCSS.6.NS.C.7C

∣ 2x + 9 ∣ = 15

• x = 3 
• x = 3
  x = -6
• x = 3
  x = -12
• x = 6
  x = -12

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Absolute value is defined as...

• always positive numbers
• negative numbers becoming positive
• distance from zero
• numbers on the number line

Tags

CCSS.6.NS.C.7C

| x – 3 |= 0

• 3
• -3
• {-3, 3}
• no solution

Tags

CCSS.7.EE.B.3

• {4, -4}
• {9, -9}
• {5, -9}
• {13, -1}

Tags

CCSS.HSA.REI.A.1

• {4, -4}
• {9, -9}
• {5, -9}
• {13, -1}

Solve for x.
|x+19|=25

• -6, 44
• 6, -44
• 6
• No Solution

Solve the equation. 
|x/7| = 3

• No solution
• x = 21
• x = 21, -21
• x = -21

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3