Integer Operations

At 4:00 a.m., the outside temperature was -28˚F. By 4:00 p.m. that same day, it rose 38 degrees. What integer represents the temperature at 4:00 p.m.? Interpret the integer within the context of the problem. (Example 4)

In 20 seconds, a roller coaster goes up a 100-meter hill, then down 72 meters, and then back up a 48-meter rise. What integer represents the height of the roller coaster, in feet, after 20 seconds? (Example 6)

Joe opened a bank account with $80. He then withdrew $35, deposited $115, and withdrew another $40. What integer represents his account balance, in dollars, after all of the transactions? (Example 6)

The table shows the bank transactions for one week for Tasha and Jamal. Who has the greater account balance at the end of the week? How much greater?

A hot air balloon rises 340 feet into the air. Then it descends 130 feet, rises 80 feet, and then descends another 45 feet. Represent the distance, in feet, that the balloon needs to travel to return to the ground as an integer. Explain.

What value of x would make the value of each expression 0? a.-10 + 11 + x b.7 + x + (-10) c.x + 1 + (-1)

Patrick stated that the sum of a positive integer and a negative integer is always negative. Construct an argument that illustrates why this statement is not true.

Why is the sum of 2, 3, and -2 positive? Justify your reasoning.

Write and solve a real-world problem where you add three integers and the sum is negative.

3 + (-6) =

• -3

• 3

• -18

• 18