Integer Word Problems
A submarine is at a depth of 300 meters below sea level. It ascends 120 meters and then descends 50 meters. What is its final depth?
370 meters below sea level
-15 +27 - 8
4
1/2 + 1/4
3/4
What is the unit rate of 50 miles in 2 hours?
25 miles / hour
In a classroom, there are 18 pencils, 12 erasers, and 6 rulers. What is the ratio of pencils to erasers to rulers?
18 to 6
or
3 to 1
The temperature was -5°C in the morning. By noon, it increased by 12°C and then dropped by 7°C in the evening. What was the temperature in the evening?
0°C
(-6) x (-4 ) + 12
36
3/4 - 1/2
1/4
What is the unit rate of 120 words in 3 minutes?
40 words per minute
A recipe calls for 4 cups of flour, 2 cups of sugar, and 1 cup of butter. What is the ratio of flour to sugar to butter?
4:2:1
A hiker starts at an elevation of 150 meters above sea level. He climbs 200 meters, descends 50 meters, and then climbs another 100 meters. What is his final elevation?
400 meters above sea level.
-32 / 8 + (-5)
20
2/3 x 3/4
6/12 or 1/2
If 5 apples cost $2.50, what is the cost per apple?
$0.50 or 50 cents
On a school trip, there are 30 students and 5 teachers. What is the ratio of students to whole?
30 to 35 or 6 to 7
A bank account has a balance of $500. A withdrawal of $200 is made, followed by a deposit of $150. What is the final balance?
$450
(-7) x 5 - (-3) x 4
-23
5/6 ÷ 1/2
10/6 or 1 4/6
What is the unit rate of 180 miles in 3 hours?
60 miles per hour
In a library, there are 120 fiction books and 80 non-fiction books. What is the ratio of fiction books to all books?
120 to 200 or 3:5
A football team gains 20 yards on the first play, loses 15 yards on the second play, and gains 30 yards on the third play. What is the net gain or loss in yards?
35 yards gain
-20 + (-15) - (-10)
-25
4/8 + 2/3
28/24
or
1 4/24
or
1 1/6
If 8 pencils cost $4.00, what is the cost per pencil?
$0.50 or 50 cents
A rate for which one of the quantities being compared is one unit.
Unit rate