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* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Name ____________________________________Date____________________Period____ Unit 1 Assessment 4 Review Show all work properly. Use separate paper as needed. No squished work. For #1-2, write an integer that represents each situation. Explain the meaning of zero in each situation. 1. A deposit of $300 3. NASA is going to launch a rocket to the moon. The scientist checks all of the electronics 10 minutes before liftoff. 5 minutes before liftoff the astronaut arrives. The rockets fire at liftoff. 7 minutes after liftoff the rocket is out of sight. Write integers to represent the 4 events. a. {____________________________} b. Describe the meaning of 0 in this situation. 2. 36°C below 0 4. City A is 822 feet above sea level and city B is 38 feet below sea level. What is the distance from the top of city A to the bottom of city B? Use at least 1-2 sentences and a number line to explain your reasoning. 5. The Teen Titans were playing a board game. 6. In a basketball game, Michelle beat the buzzer by Robin had to move backward two spaces. Raven 0.6 of a second! (It was exciting!) Is this lost her turn and stayed where she was. After represented by 0.6 or -0.6? picking up a card, Starfire moved forward 5 spaces. On his turn, Cyborg had to go back 4 Using a number line, plot 2 rational numbers that are spaces. Beast Boy’s card advanced him 6 spaces greater than your answer above. Then, circle them. to win. After, plot 2 rational numbers that are less than your a. Write integers that represent each movement: answer above. Then, box them. {___________________} b. Graph your integers on the number line below. Label the points with names. c. Explain the meaning of zero in this situation. d. Put the integers in order from greatest to least. {__________________} 7. Use the number line to answer the following questions. a. Think back to the IQL (lesson 18a). Without showing calculations, plot and label the 7 rational numbers 56 , 78 ,− 11 8 ,− 6 on the number line below. e. Write an inequality to compare Robin and Cyborg’s integers. Explain the meaning of the inequality using the context of the problem. b. Use your number line to circle the true inequality. i. ii. 5 6 > 78 or 78 > 56 ? − 118 >− 76 or − 76 >− 118 ? Write an inequality for #8-11. Replace each ____ with < or > to make a true sentence. For #10-11 show all work. 8. –9 ____ –11 10. 9. |–42| ____ |–44| 6 5 ____ 7 6 11. 4 3 ____ 7 5 For #12-15, evaluate each expression. 12. − (− 17) Hint: Think opposites 13. − |− 16| 14. |10 − 6| 15. |18| − |− 7| 16. Use the number line to order from least to greatest { |–5| , |–10| , -5, 2, 0} 17. Which of the decimals has the greatest value? a. 0.5 b. 0.05 c. 0.059 d. 0.519 e. 0.56 18. Order from greatest to least {23,− 0.6, 0.6, 45} 19. Use the set of { 2.2,− 1.75, 216,− 1 35 } for parts a-b. a. Order the set from least to greatest. Show all work separately. b. Another number is added to the set above. It is between the second and third highest rational numbers. Name one possible value. ___ 20. What is the opposite of… a. -3? b. 0? c. the opposite of +2? 21. The temperature in city A is -4° and in city B is -8°. Write an inequality for this situation. Explain the meaning of the inequality using the context of the problem. 22. What is the distance between the two absolute values |3| and |-3|? 23. True or false: |x| = |− x|