1 Warm-up  Get your quiz and checklist from the black chair.  Update your checklist using your quiz.  Staple the quiz to the back of the checklist.

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Presentation transcript:

1 Warm-up  Get your quiz and checklist from the black chair.  Update your checklist using your quiz.  Staple the quiz to the back of the checklist.

2 Math Problem Solving with Integers

3 What Are You Learning?  I CAN solve problems with integers.

4 Why Do You Need To Know This?  Solving problems with integers is useful because integers are found in many places in the real world.

5 Write an expression to describe each situation. Then evaluate the expression. a.A team gains 20 yards and then they lose 7 yards. How many yards did the team gain in all? b.Roger owes his mom $5. He borrows another $6 from her. How much money does he owe in all? c.Jenna’s score was 5 over par on the first 9 holes Her score was 4 under par on the second 9 holes. What is Jenna’s score after 18 holes? d.A balloon rises 340 feet into the air. Then it descends 130 feet. What is the elevation of the balloon?

6 Write an expression to describe each situation. Then evaluate the expression. a.A cyclist travels downhill for 125 feet. Then she travels up a hill 50 feet. How far did she travel in all? b.A plane descends 1,200 feet. Then it descends another 500 feet. What is the height of the plane? c.You owe your teacher $26 for the class trip. You give her a payment of $11. How much do you still owe? d.A golf ball is 6 inches under water. While trying to retrieve it, the golfer accidentally kicks it so that it descends another 9 inches. How far under the surface of the water is the golf ball?

7 Write an expression to describe each situation. Then evaluate the expression. a.A team gained 5 yards on their first play of the game. Then they lost 6 yards. How many yards did the team gain in all? b.Your checking account is overdrawn by $40. You write a check for $20 What is the balance in your account? c.The average temperature in Calgary, Canada is 22°C in July and -11°C in January. Find the range of the temperatures. d.A roller coaster begins at 90 feet above the ground level. Then it descends 105 feet. What is the height of the roller coaster?

8 Write an expression to describe each situation. Then evaluate the expression. a.Sonya has $235 in her savings account. She withdraws $45. What is left in her account? b.Will and Kyle were digging in the sand at the beach. Will dug a hole that was 15 inches below the surface and Kyle dug a hole that was 9 inches below the surface. Find the difference in the depths of their holes. c.The highest and lowest temperatures ever recorded in Africa are 136°F and -11°F. What is the difference in these temperature extremes? d.The highest and lowest temperatures in South America are 120°F and -27°F. What is the difference in these temperature extremes?

9 Solve the following problems. a.During one week, the stock market did the following: Monday rose 18 points, Tuesday rose 31 points, Wednesday dropped 5 points, Thursday rose 27 points, and Friday dropped 38 points. If it started out at 1,196 on Monday, what did it end up on Friday? b.Jim decided to go for a drive in his car. He started out at 0 miles per hour (mph). He then accelerated 20 mph down his street. Then, to get on the highway he accelerated another 35 mph. A car was going slow in front of him so he slowed down 11 mph. He then got off the highway, so he slowed down another 7 mph. At what speed is he driving? c.During a game, Scott scored 250 points, lost 310 points, and then scored 53 more points. What was the score at the end of the game?

10 Solve the following problems. A coffee shop’s profits and losses in four weeks were $400, -$150, $260, and -$55. What was the shop’s total profit in the four weeks? During a game, Ann scored 19 points, lost 28 points, and then scored 15 more points. What was her score at the end of the game? A fabric store’s profits and losses in four weeks were $500, -$109, $725, and -$88. What was the shop’s total profit in the four weeks?

11 Solve the following problems. a.The temperature decreased 4 degrees each hour for 3 hours. What was the total change in temperature? b.The local grocery store loses an average of $210 a day due to breakage, shoplifting, and food expiration. How much money does the store lose on average per 7-day week? c.A deep-sea diver descends below the surface of the water at a rate of 60 feet each minute. What is the depth of the diver after 10 minutes?

12 Solve the following problems. a.At noon on Friday, the temperature was 0°F. Six hours later the temperature was -18°F. On average, what was the temperature change per hour? b.An architecture firm has monthly profits of $1200, $755, -$450, $210, and -$640 over 5 months. What was the average profit for these months? c.During a 5-day work week, the stock market decreased by 65 points. Find the average daily change in the market for the week.