Name ________________________________________ Date __________________ Class __________________ Numbers UNIT 1 Unit Test: D 1. What is the opposite of −6? 7. Alecia placed the numbers 0.2, 0.4, −0.8 and 0.1 on the number line. Which of the numbers is furthest from zero? A 0 B 1 6 A −0.8 B 0.1 C 6 C 0.4 2. Which set of rational numbers is correctly ordered from least to greatest? 8. Cal divided a 7-pound bag of marbles into 2 equal piles. Which rational number represents the weight of the marbles in each pile? A −0.3, −0.4, −0.5 B −0.5, −0.4, −0.3 C −0.5, −0.3, −0.4 A 3. Which number line shows −4, 1 and 3? B 7 A C B 7 2 9. Which statement about rational numbers is correct? C A All rational numbers are also integers. 4. Which number has the same absolute value as −21? B Zero is not a rational number. A 0 B 2 7 C All integers also rational numbers. 1 21 1 a in the form . What 2 b number did she write? 10. Anna wrote 4 C 21 5. The elevation of New Orleans is on average 8 feet below sea level. Which correctly describes the opposite of New Orleans’ elevation? A 2 9 B 4 A on average 8 feet below sea level C B at sea level C on average 8 feet above sea level 1 2 9 2 11. Which of the following is an example of a rational number that is not an integer? 6. Which shows the integers in order from greatest to least? A A −2, 1, 5 1 5 B 5, −2, 1 B 0 C 5, 1, −2 C 4 Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor. 93 Name ________________________________________ Date __________________ Class __________________ UNIT 1 Numbers 17. What is an example of a rational number that is not an integer? 12. Christopher claims that 4 is not a rational number because it is not written as a ratio of integers. Is he correct? Explain why or why not. ________________________________________ 18. ________________________________________ Daily Temperatures in New York ________________________________________ Day 13. Times in 400-meter Dash Runner Time (s) Kurt 59.6 Blaine 58.8 Rachel 60.4 Finn 59.5 Temperature Monday 1°C Tuesday 2°C Wednesday 5°C Thursday −1°C The table shows the daily temperatures for a four-day period in New York. On which day was the temperature warmest? Four runners ran the 400-meter dash. The times are shown in the table above. Which runner had the fastest time? ________________________________________ 19. Esme graphed −3 and −10 on the number line. Which point is further from zero? Explain. ________________________________________ 4 2 3 2 , − , and 5 5 5 5 from greatest to least. 14. Write the numbers − ________________________________________ ________________________________________ ________________________________________ 20. Brian compared the absolute values of 1 3 1 the numbers − , , and − . Which of 2 4 4 the numbers has the greatest absolute value? 15. How many integers have absolute value equal to 3? What are the integers? ________________________________________ ________________________________________ 16. In the number line above, what is the coordinate of the marked point? ________________________________________ Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor. 94 4. Farha, Davon, Kate, Nikesha, Mirsada, Henri, Abey, Oren. The three negative 2 rational numbers (− , −2.3, and −12.6) 3 become positive, which changes the order. 15. Alexey is correct. Sample explanation: Suppose the smallest rational number is x x. Then is also a rational number, but 2 is smaller than x. Therefore x cannot be the smallest rational number, and such a number does not exist. 5. The Rational Numbers 6. whole numbers; rational; rational numbers 16. Every integer can be written as a fraction a , where a is the integer and b = 1. b UNIT 2 Number Operations Unit 1 Test: D Unit 2 Test: A 1. C 1. C 2. B 2. D 3. A 3. A 4. C 4. C 5. C 5. B 6. C 6. D 7. A 7. C 8. C 8. B 9. C 9. B 10. C 10. D 11. A 11. A 4 12. No. 4 can be written as . 1 12. B 13. Blaine 14. 13. 4 2 3 2 , , − , − 5 5 5 5 14. 9 15. Two. −3 and +3. 19 oz or 9.76 oz 25 15. a. 186.55 lb 16. −1.25 b. 18.45 lb 17. Answers will vary. Sample answer: 0.5 16. Sample answer: 2(−4) − 1 18. Wednesday 17. 56 pennies 19. −10. −10 is 10 units from zero on the number line. −3 is three units from zero. 20. 5 12 18. 2(−4) + 14 + (−5) = 1; The team gained 1 yd. 3 4 19. $437.96 20. If the integers have the same sign, the quotient will be positive. If the integers have different signs, the quotient will be negative. Unit 1 Performance Task 1. Integers Without Wholes; −9 is an integer but not a whole number because it its negative. 21. (−14) + 2(−8) + 2 = −28; −28 points 22. a. (−45) + (−106) + 8 = −143 2. Brittany and Lila; Brittany: Integers Without Wholes; Lila: Whole Numbers b. She has to sell 16 candles before she makes a profit. 3. Oren, Mirsada, Farha, Davon, Kate, Nikesha, Henri, Abey Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor. 202
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