Quiz #6 Absolute Value Equations and Inequalities

If the absolute value equation is equal to a positive number, how many solutions should it have?

• 1

• none

• 2

• infinitely many

If the absolute value equation is equal to 0, how many solutions should it have?

• 2

• no solution

• infinitely many

• 1

If the absolute value equation is equal to a negative number, how many solutions should it have?

• 2

• 1

• infinitely many

• no solution

Solve for v:

|v + 8| − 5 = 2 

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

Solve.

|x + 4| < 5

• x < -9 or x > 1

• -9 < x < 1

• x < 9 or x > -1

• -1 < x < 9

What is the definition of 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

Which equation represents the absolute value parent function?

• y = x

• y = |x|

• y = x²

• y = 2^x

Solve:  |2x + 1| ≤ 19

• x ≥ 9 or x ≤ -10

• -10 ≤ x ≤ 9

• x ≥ 10 or x ≤ -9

• -9 ≤ x ≤ 10

Solve.
|y - 4| ≥ 8

• y ≤ -4 or y ≥ 12
• -4 ≤ y ≤ -12
• y ≤ 4 or y ≥ -12
• -12 ≤ x ≤ 4

Solve for x
l x−6 l + 4= 10

• x = 12 and x = 0
• x = 3 and x = -3
• x = -12 and x = 0
• No Solution