Integer Word Problems (M.A.T.H.) Name: Class: Date: 1.) Mt. Everest, the highest elevation in Asia, is 29,028 feet above sea level. The Dead Sea, the lowest elevation, is 1,312 feet below sea level. What is the difference between these two elevations? 2.) In Buffalo, New York, the temperature was -­‐14°F in the morning. If the temperature dropped 7°F, what is the temperature now? 3.) A submarine was situated 800 feet below sea level. If it ascends 250 feet, what is its new position? 4.) Maggie owes the candy store $35. Each of 5 friends will help her pay off her debt. How much will each friend pay? 5.) Roman Civilization began in 509 B.C. and ended in 476 A.D. How long did Roman Civilization last? 6.) Lilly bought 4 pairs of blue jeans at $32 each. How much money did she pay the clerk? Integer Word Problems (M.A.T.H.) Name: Class: Date: 7.) A submarine was situated 450 feet below sea level. If it descends 300 feet, what is its new position? 8.) In the Sahara Desert one day it was 136°F. In the Gobi Desert a temperature of -­‐50°F was recorded. What is the difference between these two temperatures? 9.) The Punic Wars began in 264 B.C. and ended in 146 B.C. How long did the Punic Wars last? 10.) Metal mercury at room temperature is a liquid. Its melting point is -­‐39°C. The freezing point of alcohol is -­‐114°C. How much warmer is the melting point of mercury than the freezing point of alcohol? 11.) Challenger: Five 10th-­‐graders were in a 5-­‐mile cross-­‐country race. Sandy came in third with a time of 33 minutes. Three of the runners had times of -­‐5, -­‐3, and +4 minutes relative to Sandy’s time. The fifth-­‐place racer’s time was 12 minutes slower than the winner’s. What was the fifth-­‐place runner’s time? Integer Word Problems (M.A.T.H.) Name: Class: Date: 12.) Challenger: A bucket held 2 liters of water and leaked some number of milliliters per minute. After 5 minutes, the bucket held 1 liter and 940 milliliters. How much did the bucket leak per minute? 13.) Marilynn’s class played a game that is scored a little like golf. As you may know, golf is scored based on a number called par. Each player gets a score that is at par or is some number of points above or below par. The lower the score the better, so it’s best to get below par. For Marilynn's game, par was 54. The players on Marilynn’s team had the following scores in terms of par: -­‐3, +9, -­‐
10, -­‐1, +15, -­‐7, +4, and -­‐6. What was the winning score? What was the worst score? 14.) Which product has a larger absolute value? 45 • (-­‐105) or -­‐58 • (-­‐95) 15.) Which sum has a larger absolute value? 186 + (-­‐36) or -­‐98 + (-­‐
124) Integer Word Problems (M.A.T.H.) Name: Class: Date: 16.) Larry had possession of the ball four times in a recent football game. In one play, he gained 21 yards for his team. In another play, he was pushed back by the defense and gained -­‐6 yards. In the last two plays, he gained 18 and -­‐9 yards. What was his total yardage gained? Challenge: What was his average yardage gain for the four plays? (Average is the sum of all of the data points, divided by the total number of data points) 17.) Challenger: Scientists have learned the temperature at which chemical compounds melt. Here are the melting points for some chemical compounds: m-­‐toluidine -­‐30°C biphenyl 69°C 1-­‐hexanol -­‐45°C What is the average melting point of the compounds? 18.) Louis was doing a science experiment about temperature. He first measured the temperature of some water and found it was 17°C. Then he put the water in the freezer and recorded the temperature two hours later. It had fallen to -­‐11°C. What was the change in temperature in two hours? Integer Word Problems (M.A.T.H.) Name: Class: Date: 19.) Challenger: (Use logic!) A weather report listed the high and low temperatures on one day for four cities in different parts of the world: Barcelona, Moscow, Memphis, and Hong Kong. high temperatures: 15°C, 13°C, -­‐5°C, and 40°C. low temperatures: -­‐12°C, -­‐2°C, 19°C, and 5°C. Use the clues below to find the high and low temperatures for each of the four cities. 1. The high temperature in Moscow was not 15°C. 2. The difference between the high in Hong Kong and the low in Memphis was 35°C degrees. 3. Moscow had the lowest low temperature of the day. 4. The high temperature in Barcelona was less than 15°C. 5. The difference between Barcelona’s low and high temperature of the day was 15°C. 6. The low temperature in Barcelona was 10°C above the low temperature in Moscow. Integer Word Problems (M.A.T.H.) Name: Class: Date: Answer Key : 1.) 30,340 ft 2.) -­‐21 degrees F 3.) 550 ft 4.) $7 each 5.) 985 years 6.) $128 7.) -­‐750 ft 8.) -­‐186 degrees F 9.) 118 years 10.)
75 degrees C 11.)
40 min 12.)
0.012 L per min 13.)
44 win; 69 lose 14.)
(-­‐58)(-­‐95) 15.)
-­‐98 + (-­‐124) 16.)
24 yards; 6 yards 17.)
-­‐2 degrees C 18.)
-­‐28 degrees C 19.)
Moscow: -­‐5/-­‐12; Memphis 15/5; Barcelona 13/-­‐2; Hong Kong 40/19