Exploring Absolute Value Equations and Inequalities

What is the absolute value of -3?

• 3

• 6

• 0

• -3

If the absolute value of x equals 5, what are the possible values of x?

• 0 and -5

• 5 and 0

• 5 and -5

• 5 and 10

What is the first step in solving an absolute value equation?

• Add a constant to both sides

• Isolate the absolute value

• Multiply both sides by a constant

• Divide both sides by a constant

What does it mean if an absolute value equation equals a negative number?

• There is one solution

• The solution is zero

• There are two solutions

• There is no solution

In the skateboarding example, what is the speed of the skateboarder?

• 10 feet per second

• 20 feet per second

• 30 feet per second

• 40 feet per second

How many seconds does it take for the skateboarder to be 40 feet away from you?

• 5 and 8 seconds

• 4 and 6 seconds

• 3 and 7 seconds

• 2 and 5 seconds

What is the acceptable weight range for a box of crackers if the ideal weight is 213 grams and the tolerance is 5 grams?

• 205 to 225 grams

• 210 to 215 grams

• 200 to 220 grams

• 208 to 218 grams

How do you solve an absolute value inequality of the form |a| < b?

• a = b or a = -b

• a < b or a > -b

• -b < a < b

• a > b or a < -b

What does the inequality |x| > 5 mean?

• x is between -5 and 5

• x is less than -5 or greater than 5

• x is equal to 5

• x is equal to -5

If the absolute value of 8n is greater than or equal to 24, what are the possible values of n?

• n > -3 and n < 3

• n ≤ -3 or n ≥ 3

• n < -3 or n > 3

• n = -3 or n = 3