Absolute Value Equations & Inequalities

|−4 + 5x| = 16

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

Tags

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3

|v + 8| − 5 = 2 

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

Tags

CCSS.6.EE.B.5

CCSS.6.NS.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

| 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.B.3

What is the correct first step?

• divide by 10
• multiply by 10
• make it two inequalities with an "or"
• make it two inequalities with and "and

Tags

CCSS.6.NS.C.7C

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.6.NS.C.7C

−2|−2r − 4| = -12

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

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

What's a way to define absolute value?

• The value of a number
• The opposite of a number
• The distance of a number from zero
• The multiplicative inverse of a number

Tags

CCSS.6.NS.C.7C

What is the reason that absolute value is always written as a positive?

• Absolute value is talking about numbers so it must be positive.
• Absolute value does not always have to be positive.
• Absolute value is like a clock it has only positive numbers.
• Absolute value is talking about distance, distance is always measured by positive numbers.

Tags

CCSS.6.NS.C.7C

An extraneous solution is

• not a concern when solving absolute value equations

• an apparent solution that must be rejected because it does not satisfy the original equation

Tags

CCSS.HSA.REI.A.2