1.2 Solving Absolute Value Equations

|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

| x – 3 |= 0

• 3
• -3
• {-3, 3}
• 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

Evaluate the expression.
|-2| + |-5|

• 7
• -7
• 3
• -3

Tags

CCSS.6.NS.C.7C

|a| ≥ 0

• The absolute value of a number is always negative
• The absolute value of a number is always positive or zero

An absolute value equation is

• an equation that contains an absolute value expression
• always going to have two solutions
• always going to have one solution
• impossible to solve

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.D.11

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

What are the two related linear equations for solving:
| x - 4 | = 8

• x - 4 = 8 and x + 4 = 8
• x - 4 = 8 and x - 4 = -8

Tags

CCSS.HSA.REI.B.3