Represent Real-World Problems Jane and Sarah both dive down from the surface of a pool. Jane first dives down 5 feet, and then dives down 3 more feet.  Sarah first dives down 3 feet, and then dives down 5 more feet.

a. Multiple Representations Use the number line to model the equation  -5 + (-3) = -3 + (-5).

b. Does the order in which you add two integers with the same sign affect the sum? Explain.

A golfer has the following scores for a 4-day tournament.

What was the golfer’s total score for the tournament?

A football team loses 3 yards on one play and 6 yards on another play. Write a sum of negative integers to represent this situation. Find the sum and explain how
it is related to the problem.

When the quarterback is sacked, the team loses yards. In one game, the quarterback was sacked four times. What was the total sack yardage?

Multistep The temperature in Jonestown and Cooperville was the same at 1:00. By 2:00, the temperature in Jonestown dropped 10 degrees, and the temperature in Cooperville dropped 6 degrees. By 3:00,  the temperature in Jonestown dropped 8 more degrees, and the temperature in Cooperville dropped 2 more degrees.

a. Write an equation that models the change to the temperature in Jonestown since 1:00.

b. Write an equation that models the change to the temperature in Cooperville since 1:00.

c. Where was it colder at 3:00, in Jonestown or Cooperville?