Absolute Value Equations & Graphs

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

8|-2x + 4| = 96

• x = -4, x = 8
• x = -4
• x = -4, x = -8
• x = 4, x = 8

|x+7|=12

• x = -5, x = 19

• x = 5, x = -19

• x = 5, x = -5

• x = 12, x = -7

Solve for p. 9|9 - 2p| = 81

• p = 0, p = -9

• p = -63/2, p = 99/2

• p = 0, p = 9

• No Solution

|v + 8| − 5 = 2 

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

Solve for x
2 lx−4l+8=18

• x = 9 and x =-1
• x = 1 and x = -9
• x= 4 and x = -2
• No Solution

What are the coordinates of the vertex?

• (-6, 4)

• (0,6)

• (0, -6)

• (-6, 0)

Tags

CCSS.HSF-IF.C.7D

What is the equation of the absolute value function?

• f(x)= |x+4|
• f(x)= |x-4|
• f(x)= |x| + 4
• f(x)= |x| - 4

Tags

CCSS.HSF-IF.C.7D

Which function defines the graph?

• f(x) = |x - 4| + 3

• f(x) = |x - 3| + 4

• f(x) = |-x + 4| + 3

• f(x) = |x + 4| + 3

Tags

CCSS.HSF-IF.C.7D

What is the equation of the graph below?

• f(x) = I x + 2 I 
• f(x) = I x  I + 2
• f(x) = I x  I - 2
• f(x) = I x - 2 I 

Tags

CCSS.HSF-IF.C.7D