Problem Solving with Integers

The Tigers football team gained 7 yards, lost 8 yards, and then lost 7 more yards.  What is the total result of these three plays?

• a gain of 8 yards

• a loss of 8 yards

• a gain of 22 yards

• a loss of 22 yards

A submarine is 150 below sea level while an airplane is 375 above sea level.  What is the difference between the height of the submarine and the airplane?

• -525

• 525

• 325

• -325

Hannah made four withdrawals of $20 from her checking account.  She also wrote a check for $215.  By how much did the amount in her checking account change?

• increased by 295

• increase by 315

• decreased by 115

• decreased by 295

Ron lost 10 points seven times playing a video game.  He then lost an additional 100 points for going over the time limit.   What was the total change in his score?

• gained 170

• lost 170

• gained 30

• lost 30

A hike starts at an elevation 30 meters below sea level and ends at a point 9500 meters higher than the starting point. How high would you be at the end of the hike?  

• 9470

• -9470

• 9530

• -9530

In a game, losing a round means you owe 5 points. If a player lost 3 rounds and then won a round earning 15 points, what is the player's score?

• 0 points

• 5 points

• -5 points

• 10 points

A hiker starts at an elevation of 200 feet below sea level and hikes up to an elevation of 150 feet above sea level. What is the total change in elevation?

• 350 feet

• 50 feet

• -350 feet

• -50 feet

Match the following

• 13

• -7 + (-1)

• 1

• 10 - 9

• 2

• 8 - (-5)

• -4

• 1 - 5

• -8

• -4 - (-6)

If I am subtracting integers, I need to change the problem to addition by ​ ​ (a)   ​ the ​ (b)   ​

• opposite

• subtracting

• same sign

• adding

Match the following with the correct operation and sign of the answer.

• subtract, negative

• -762 + (-481)

• subtract, positive

• -1239 + 904

• add, positive

• 3 + 5

• add, negative

• -717 + 927