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? 1 5 A 2, 1, 5 A 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. 1 Name _______________________________________ Date __________________ Class __________________ UNIT 1 Numbers 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. 17. What is an example of a rational number that is not an integer? ________________________________________ 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 1C Tuesday 2C Wednesday 5C Thursday 1C 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. _______________________________________ 2 3 2 4 , , 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. 2 Name _______________________________________ Date __________________ Class __________________ 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. 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. 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 2. B 1. C 2. D 3. A 3. A 4. C 4. C 5. C 6. C 5. B 6. D 7. A 7. C 8. C 8. B 9. C 10. C 9. B 10. D 11. A 11. A 1. C 12. No. 4 can be written as 12. B 4 . 1 13. 13. Blaine 14. 4 2 2 3 , , , 5 5 5 5 14. 9 19 oz or 9.76 oz 25 15. a. 186.55 lb 15. Two. 3 and 3. b. 18.45 lb 16. 1.25 16. Sample answer: 2(4) 1 17. 56 pennies 17. Answers will vary. Sample answer: 0.5 18. Wednesday 18. 2(4) 14 (5) 1; The team gained 1 yd. 19. $437.96 19. 10. 10 is 10 units from zero on the number line. 3 is three units from zero. 20. 5 12 3 4 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 3. Oren, Mirsada, Farha, Davon, Kate, Nikesha, Henri, Abey b. She has to sell 16 candles before she makes a profit. 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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