Inequalities and Absolute Value Practice Problems

|v + 8| − 5 = 2 

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

Tags

CCSS.6.EE.B.5

CCSS.6.NS.C.7

 |−2n| + 10 = −50

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

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

∣ 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

| 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 + 3 | > 8

• No Solution
• All Real Numbers
• x < -11  or  x > 5
• -5 < x < 11

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

| 2x + 12 | < 8
Which is the correct first step?

• 2x + 12 < 8 and 2x+12 >-8
• 2x + 12 < 8 or 2x+12 >-8
• 2x + 12 < 8 and 2x+12 <-8
• 2x + 12 < 8 or 2x+12 >-8

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Which compound inequality represents the graph?

• m < -1 OR m > 2
• -1 < m < 2
• m > -1 OR m < 2

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

| k - 3 | < -1

• No Solution
• All Real Numbers
• 2 < k < 4
• k < 2  or  k > 4

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Correct or incorrect?

• Correct

• Incorrect

Solve the inequality.
x + 5 ≤ 13

• x ≥ 8
• x ≥ 18
• x ≤ 8 
• x ≤ 18 

Tags

CCSS.7.EE.B.4B