Solving Absolute-Value Equations

|v + 8| − 5 = 2 

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

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

-|−2r − 1| = 11

• {-6,5}
• {5,-6}
• -6
• No Solution

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

|−4 + 5x| = 16

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

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

−2|−2r − 4| = -12

• {3,1}
• {-3,-1}
• {-3}
• No Solution

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

 |−2n| + 10 = −50

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

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

|2a - 10| = 6

• a = 8, a = 5
• a = 2
• a = 8
• a = 8, a = 2

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

| x – 3 |= 0

• 3
• -3
• {-3, 3}
• no solution

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve for p. 9|9 - 2p| = 81

• p = 0, p = -9

• p = -63/2, p = 99/2

• p = 0, p = 9

• No Solution

Tags

CCSS.6.NS.C.7C

Solve.

8 - 9|10r - 9| = -73

• r = 9/5, r = 0

• r = 0, r = 5

• r = 9/5, r = 1

• r = -63/10, r= 0

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve for k. |6 - 2k| = 18

• k = -6, k = 6

• k = -6, k = 12

• k = -6, k = -12

• k = -6, k = 5

Tags

CCSS.6.NS.C.7C