ABSOLUTE VALUE EQUATIONS AND INEQUALITIES

|v + 8| − 5 = 2 

• {-1,-15}
• {-1,-5}
• {-15,15}
• 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

Solve:
 |x + 3| > 8

• x > 5 or x < -11
• x > 5
• all real numbers
• no solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

| 2w - 1 | < 11

• No Solution
• All Real Numbers
• -5 < w < 6
• -6 < w < 5

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Solve. 
-5|4 +n| < -15 

• n > 1 or n < -7
• n > -1 or n < -7
• -7 < n < -1
• no solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Solve. 
| -x - 10| + 4 < -8 

• no solution
• x > 2 or x < -22
• -22 < x < 2
• all real numbers

Tags

CCSS.HSA.REI.B.3

4|5x-2|+7>39

• -6/5 < x > 2
• x=2 or x=-6/5
• x=2 and x=-6/5
• x < -6/5 or x > 2

Tags

CCSS.HSA.CED.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

| 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

| 3c - 5 | < -2

• No Solution

• All Real Numbers

• 1 < c < ⁷/₃

• c < 1 or c > ⁷/₃