Real World Absolute Value

A candy manufacture puts 240 pieces of candy into each bag. The bag can be off by 8 pieces. Write an absolute value inequality that displays the acceptable amount of candy pieces that can be in a bag.

Write an inequality to model this situation.

• |x - 8| ≤ 240

• x + 240 ≥ 8

• |x - 240| ≤ 8

• |x - 240| > 8

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

• a = 1; b = 2

• a = 1; b = -2

• a = -3; b = 2

• a = -3; b = 4

Client has a checking account balance of -$82. Client has a checking account balance of -$79. Which client has a greater debt? Also, choose the explanation that goes with your answer.

• Client 2

• Client 1

• -79 has an absolute value of 79 because it is 79 units from zero on the number line. Therefore the debt of Client 2 is greater than the debt of Client 1. |-79| > |-82|

• -82 has an absolute value of 82 because it is 82 units from zero on the number line. Therefore the debt of Client 1 is greater than the debt of Client 2. |-82| > |-79|

The top of a mountain is 2,450 ft above sea level. A shipwreck was discovered 310 feet below sea level. What is the distance between the mountain top and the shipwreck?

• 2150 feet

• 310 feet

• 2760 feet

• 2450 feet

Penny and her cousins each have a different bank balance. What is the sum of all the accounts?

• -3

• 7

• -2

• 4

Cara monitors a snail in her aquarium. She notes that this morning it crawled 1" up the glass. A few hours later, it crawled another 2" up the glass. Later, it crawled 4" down the glass. How far is the snail from where it started?

• 1" below where it started

• 3" above where it started

• 1" above where it started

• 2" below where it stared

It is 78 degrees in San Diego and it is -1 degrees in Calgary. How many degrees warmer is it in San Diego than Calgary? 

• 77

• 79

• -77

• -79

Write an integer to represent the scenario.

The elevator takes Whitney 4 floors below ground level. 

Which correctly represents the scenario?

It is 14 degrees below zero

• |- 14|

• |14|

• 14

• -14