Grade 7 MYP Formative Test on Integers Name ………………………………………………………….. Section A: Multiple Choice. Circle the correct response Class …………………………. Which of the following numbers is an integer? a) ¾ b) -2.5 c) √9 d) 0.75 What is the sum of -5 and 8? a) -13 b) 3 c) -3 d) 13 Which of the following represents a negative integer? a) |4| b) -|4| c) 4 d) |-4| If you add -7 to -3, what is the result? a) -10 b) 10 c) -4 d) 4 What is the opposite of -12? a) -12 b) 12 c) 0 d) -6 Which of the following is NOT an integer? a) -5 b) 21 c) 0 d) 5.5 What is the absolute value of 3? a) 3 b) -3 c) 0 d) 6 What is the result of 7+(−4)? a) 3 b) -3 c) 11 d) -11. What is the result of −3×5? a) 15 b) −15 c) −3 d) 5 Section B: True or False(Write T/F next to the question True or False: The product of two positive integers is always positive. True or False: The sum of two negative integers is always negative. True or False: The difference between a positive integer and a negative integer is always positive. True or False: Multiplying two negative integers results in a positive product. True or False: Zero is an even integer. Section C: Short Answer Calculate: -9 + (-4). …………………..………………………………………………………………………………………… Find the product of -6 and 5. …………………………………………………………………………………………………………… Determine the absolute value of -15. ………………………………………………………………………..………………………………… If you start at 0 on a number line and move 7 units to the left, what integer represents your final position? ………………………………………………………………………..…………………………………… Explain in your own words what the term "integer" means. ………………………………………………………………………..……..….………………………… ………………………………………………………………………..………..………………………… ………………………………………………………………………..………….……………………… …………………………………………………………………………………………………………… Section D: Application Problems Alice has $20, and she spends $7. How much money does she have left? Write this as an integer. …………………………………………………………..……………………………………………… A temperature of -15°C is recorded in a city. The next day, the temperature drops by another 8°C. What is the temperature now? ………………………………………………………..…….…………………………………………… ………………………………………………………..…….…………………………………………… A submarine is at a depth of -50 meters below sea level. If it rises 25 meters, what is its new depth? ……………………………………………………..…………………………………………………… ………………………………………………………….……………………………………………… Sarah owes her friend $10. Her friend owes her $8. Calculate the net amount owed and indicate whether Sarah owes or is owed money. ……………………………………………………………………………………………………..……… ……………………………………………………………………………………………………………. A football team won 3 games and lost 5 games. Write the team's overall performance as an integer. …………………………………………………………………………………………………………… …………………………………………………………………………………………………………… …………………………………………………………………………………………………………… Two golfers completed one round of golf. The first golfer had a score of +6 and the second golfer had a score of –3. How many more shots did the first golfer take? ……………………………………………………………………………………………………..………… ……………………………………………………………………………………………………………… …………………………………………………………………………………………………………….. ……………………………………………………………………………………………………………. Section E: Extended Response Mary has $120 to spend on three different items. The second item costs twice as much as the first, and the third item costs three times as much as the first. Write an equation to represent this situation, and then solve it to find the cost of each item. …………………………………………….………………………………………………………………… ……………………………………………………………………………………………………………… …………………………………………………………………………………………………………….. ……………………………………………………………………………………………………………. You have a starting balance of $50 in your bank account. Each week, you withdraw $20. Write an equation to represent this situation, and then solve it to find out how many weeks it will take for your account balance to reach $0. ……………………………………..……………………………………………………………………… ………………………………….………………………………………………………………………… …………………………………………………………………………………………………………… A water tank has steps inside it. A monkey is sitting on the topmost step (i.e., the first step). The water level is at the ninth step. (i) He jumps 3 steps down and then jumps back 2 steps up. In how many jumps will he reach the water level? …………………………………………………………………………………………………………… ……………………………..…………………………………………………………………………… ………………………….……………………………………………………………………………… ………………………………………………………………………………………………………… (ii) After drinking water, he wants to go back. For this, he jumps 4 steps up and then jumps back 2 steps down in every move. In how many jumps will he reach the top step? ………………………………………………………………………………………….………………… …………………………………………………………………………………………………………… (iii) If the number of steps moved down is represented by negative integers and the number of steps moved up by positive integers, represent his moves in part (i) and (ii) by completing the following; (a) − 3 + 2 − …. = − 8 (b) 4 − 2 + …. =8 In (a) the answer (− 8) represents going down by eight steps. So, what will the answer 8 in (b) represent? ……………………………………………………………………………………………………………… ………………………………………………………………………………..……………………………