Integers Introduction — Answer Key
Part A: Multiple Choice
Circle the best answer for each question.
1. The water level starts at 0 ft. It rises 4 ft, then drops 6 ft. What integer shows the new level?
A) -2
B) 10
C) 2
D) -10
Starting at zero, plus four minus six gives a final level of negative two feet.
2. City A is -8 degrees and City B is -3 degrees. Which city is colder?
A) Same temp
B) City A
C) City B
D) Cannot tell
Negative eight is less than negative three, so City A is the colder city.
3. A hiker stands 250 ft above sea level and a diver is 75 ft below. Whose distance from zero is larger?
A) Equal
B) Diver
C) Hiker
D) Neither
Two hundred fifty is farther from zero than seventy-five, so the hiker is farther.
4. A bank account holds $20. After a $35 charge, what integer shows the balance?
A) 55
B) -55
C) 15
D) -15
Twenty minus thirty-five equals negative fifteen because the charge exceeds the balance.
Part B: Fill in the Blank
Write the correct answer on each line.
1. The temperature was -4 then rose 9 degrees. The new reading is 5.
Negative four plus nine moves up nine units to reach positive five.
2. A submarine at -120 ft rises 50 ft. The new depth integer is -70.
Negative one twenty plus fifty brings the submarine up to negative seventy feet.
3. The distance of -9 from zero on a number line is 9.
Distance from zero ignores sign, so the absolute distance is nine units.
4. Sara had $30 and spent $42. Her balance integer is -12.
Spending more than you have leaves a negative balance of negative twelve dollars.
5. A drone climbs from -5 ft to 15 ft. The change in altitude is 20.
Going from negative five to positive fifteen covers a total of twenty units up.