Absolute Value Equations and Inequalities

Solve:

• {24}
• {-6, -8}
• {16, 4}
• {24, -24}

Tags

CCSS.8.EE.C.7

|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

Evaluate each expression.
| x + 9 | = -5

• -14
• -4
• {-14, -4}
• no solution

Tags

CCSS.8.EE.C.7

|v + 8| − 5 = 2 

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

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

After you split into two inequalities, what would they look like? 

• x + 7 > 1        
     
  x + 7 > -1
• x + 7 > 1
• x + 7 > 1
  X + 7 < -1

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

| x + 3 | ≤ 2

• No Solution
• All Real Numbers
• -5 ≤ x ≤ -1
• 1 ≤ x ≤ 5

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

| x + 2 | > 5

• x < - 7 or x > 3
• x > 7 or x < 3
• x < -7 and x > 3
• x > -3 and x < 7

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

• no solution
• all real numbers 
• -2 ≤ n ≤ 16
• n ≤ -2 or n ≥ 16

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

• no solution
• -6 < x < 26
• x < -6 or x > 26
• all real numbers

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3