Name _______________________________________ Date __________________ Class __________________ UNIT 1 Numbers Unit Test: C 1. Alessandra has a special deck of cards. Each card has a different integer on it. The cards are 1, 3, 5, 7, and 8. How many cards have a value that is less than 4? A none of these C two B one D three 5. Which of the following lists of numbers is ordered from greatest to least? 2. Which set of rational numbers is correctly ordered from least to greatest? A 0.551, 0.550, 0.505, 0.555 B 0.555, 0.550, 0.551, 0.505 A 5 4 , 0.61, 0.59, 8 7 B 5 4 , , 0.61, 0.59 8 7 C 4 5 , , 0.59, 0.61 7 8 D 4 5 , 0.59, –0.61, 7 8 6. C 0.555, 0.551, 0.550, 0.505 Martina’s Inequalities D 0.505, 0.550, 0.551, 0.555 3. Tamar wants to select an integer that is closer to zero on the number line than 3 is. How many possible choices other than zero does she have? A one C three B two D four 23 2 3 4 5 4 3 10 0 1 3 2 Martina gets one point for each pair of integers she correctly compares. She wrote the statements above. How many points did Martina receive? 4. Point A B C D 2 3 Coordinate 0.731 0.730 0.733 0.735 A 2 C 4 B 3 D 5 7. Kevin listed all of the integers with absolute value less than 2. Bria listed all of the integers with absolute value less than 4. How many more integers are on Bria’s list than on Kevin’s list? Which number line shows the correct placement of the points listed in the table above? A two C seven B four D nine 1 1 5 8. Jo wrote the numbers 2 , 3 and 1 2 7 6 a in the form . What is the greatest b numerator that Jo wrote? A B C A 5 C 11 B 7 D 22 D 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 13. If x and y are integers and x y, how do the opposite of x and the opposite of y compare? 9. Tommy plotted the opposite of 6. Alicia plotted the opposite of 5. Which number is greater in value? Explain. _______________________________________ ________________________________________ _______________________________________ ________________________________________ 14. _______________________________________ Daily Temperatures in Milwaukee 10. Day Times for 200-meter Dash Temperature Time (s) Monday 2.1C Allison 24.22 Tuesday 2.0C Carmelita 24.12 Wednesday 2.3C Shanay 23.98 Thursday 1.9C Britney 23.95 Runner The table shows the daily temperatures for a four-day period in Milwaukee. Four runners ran the 200-meter dash. The times are shown in the table above. Which runner had the fastest time? On which day or days was the temperature lower than 2.2C? ________________________________________ _______________________________________ 15. Trina says that she knows the smallest positive rational number. Alexey says that such a number does not exist. Who is correct? Explain why. 7 5 11. Write the numbers 3.2 , 1 , 2 and 8 6 4 a 3 in the form , from greatest to 5 b least. ________________________________________ _______________________________________ ________________________________________ 12. The opposite of x is y. What is the distance between x and y on the number line? ________________________________________ 16. A rational number is any number that can a be written in the form , where a and b b are both integers and b 0. Why is every integer a rational number? _______________________________________ ________________________________________ ________________________________________ Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor. 2 Name _______________________________________ Date __________________ Class __________________ Answer Key Unit Tests and Performance Tasks UNIT 1 Numbers 5. A Unit 1 Test: A 6. D 1. D 7. D 2. A 3. D 8. D 4. D 10. C 5. D 6. A 11. 0. The opposite of a number is the same distance from 0 on the number line, but in the opposite direction. 7. D 12. Monday 9. D 8. B 13. 2 9. D 11 12 10. A 11. D 14. Answers will vary. Sample answer: the price of items in a store 12. D 15. no; The opposite of 2 is 2. 13. 4 16. 7.8, 8.05, 8.1, 8.18 14. 5.8, 4.2, 4.1, 1.5 17. no; counterexample: 2 |2| 4. 15. 8 18. 4.5 16. Answers will vary. Any whole number is correct. Unit 1 Test: C 1. B 5 17. 3 2. C 3. D 18. 4. 4 is 4 units away from 0 on the number line; 3 is 3 units away. 4. D 5. D 19. 3 20. 5.5, 5 21. 6. C 1 1 , 5 , 5.1 4 5 7. B 8. D 17 5 9. The opposite of 5. 5 is to the right of 6 on the number line. 22. 4.5, 3.5, 3, 4 10. Britney 23. Yes. 3 is to the right of 5 on the number line. 11. 24. 3 15 17 16 19 , , , 8 6 5 5 12. |x y|, |y x|, |x y|, 2|x|, or 2|y| Unit 1 Test: B 13. y x 1. B 14. Wednesday 2. A 3. A 4. D Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor. 202 Name _______________________________________ Date __________________ Class __________________ 15. Alexey is correct. Sample explanation: Suppose the smallest rational number is x. x Then is also a rational number, but is 2 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 1. C 1. C 2. B 2. D 3. A 4. C 3. A 5. C 5. B 6. C 7. A 6. D 7. C 8. C 8. B 9. C 9. B 10. C 10. D 11. A 4. C 11. A 12. No. 4 can be written as 12. B 4 . 1 13. 13. Blaine 14. 4 2 2 3 , , , 5 5 5 5 5 12 14. 9 19 oz or 9.76 oz 25 15. a. 186.55 lb b. 18.45 lb 15. Two. 3 and 3. 16. 1.25 17. Answers will vary. Sample answer: 0.5 16. Sample answer: 2(4) 1 18. Wednesday 17. 56 pennies 18. 2(4) 14 (5) 1; The team gained 1 yd. 19. 10. 10 is 10 units from zero on the number line. 3 is three units from zero. 20. 19. $437.96 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 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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