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.6

CCSS.6.NS.C.7

CCSS.6.NS.C.8

| 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