Chapter 2 Review. Name: Class: Date: ID: A. Multiple Choice Identify the choice that best completes the statement or answers the question.
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1 Name: Class: _ Date: _ ID: A Chapter 2 Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which of the following represents these rational numbers in ascending order? 6 1, 0.8, 0.6, 7 14 a. 0.6, 0.8, 6 7, b., 0.8, 0.6, d Order the rational numbers in descending order. 1 8, 1, , c. 0.6, 6 1, 0.8, , 6, 0.8, a. 1 10, 1 11, , 1 8 b , 1 10, , 1 c. 1 8, 1 10, 1 11, d. 1 8, ,
2 Name: ID: A. Which point on the number line represents the rational number 4 5? a. A c. C b. B d. D 4. Determine the mixed number that falls between 1.2 and 1.. a c b. 1 4 d Which decimal number is equivalent to 8? a c b d What is the value of ? a c. 1.6 b. 1.5 d What is ? a. b. 2 4 c. d
3 Name: ID: A 8. Evaluate a b. 18 Ê 9. What is ËÁ ˆ 14 15? 1 a. b What is 2 5 Ê ˆ ËÁ ? 15 a b. 50 c. d. c. d c d Jag has 4 large bags of popcorn, which he divides among some smaller bags. The smaller bags are 2 of the size of the large bags. How many smaller bags of popcorn can Jag make? a. 4 c. 8 b. 6 d. 12
4 Name: ID: A 12. Michael started his day with a full tank of gas. After driving 1 to his workplace, of the gas was used. Michael then made 10 three deliveries to a local warehouse, and returned to his workplace each time. At the end of the day, the tank was empty. What fraction of a tank of gas does each complete round-trip between Michael s workplace and the warehouse use? 1 1 a. c b. d Which of these numbers is a perfect square? a. 68 c. 186 b. 92 d Which of these numbers is not a perfect square? a. 121 c. 64 b. 99 d What is the value of 0.81? a c. 9 b. 0.9 d What is the side length of a square with an area of 196 m 2? a. 9 m c. 49 m b. 14 m d. 98 m 17. What is the area of a square with a side length of 8 units? a. 2 units c. 64 units b. 2 square units d. 64 square units 18. Evaluate a. 1.5 c b. 15 d
5 Name: ID: A 19. In professional baseball, the first base is a square with an area of 1444 cm 2. What is the length of one side of the base? a. 722 cm c. 8 cm b. 61 cm d. 12 cm 20. A checkerboard has an area of 576 cm 2. Each side of the board is made of 8 small squares. What is the side length of each small square on the board? a. cm c. 9 cm b. 8 cm d. 24 cm Short Answer Problem 21. Denise evaluated the following expression as shown: ( ) ( 8.4 2) =. 4.2 = 1.86 Did she evaluate the expression correctly? If not, show all the steps to correctly evaluate the expression and show the correct solution. Explain where Denise went wrong. 22. Replace each with >, <, or = to make each statement true. a) b) c) d) 0.75 e) f) 5
6 Name: ID: A 2. The mean of seven rational numbers is a) What is the sum of the rational numbers? b) If six of the numbers each equal 4.60, what is the seventh number? 6
7 Chapter 2 Review Answer Section MULTIPLE CHOICE 1. ANS: A PTS: 1 DIF: Average OBJ: Section 2.1 NAT: N TOP: Comparing and Ordering KEY: rational numbers ordering ascending 2. ANS: B PTS: 1 DIF: Average OBJ: Section 2.1 NAT: N TOP: Comparing and Ordering KEY: rational numbers ordering mixed numbers descending. ANS: C PTS: 1 DIF: Easy OBJ: Section 2.1 NAT: N TOP: Comparing and Ordering KEY: rational numbers fractions comparing 4. ANS: C PTS: 1 DIF: Average OBJ: Section 2.1 NAT: N TOP: Comparing and Ordering KEY: rational numbers comparing mixed numbers 5. ANS: C PTS: 1 DIF: Average OBJ: Section 2.1 NAT: N TOP: Comparing and Ordering KEY: rational numbers ordering equivalent fractions decimal numbers 1
8 6. ANS: B PTS: 1 DIF: Easy OBJ: Section 2.2 NAT: N TOP: Problem Solving With in Decimal Form KEY: rational numbers decimal numbers number operations subtract 7. ANS: B PTS: 1 DIF: Average OBJ: Section 2. NAT: N TOP: Problem Solving With in Fraction Form KEY: rational numbers fraction operations divide 8. ANS: A PTS: 1 DIF: Difficult OBJ: Section 2. NAT: N N4 TOP: Problem Solving With in Fraction Form KEY: rational numbers fraction operations order of operations add multiply 9. ANS: A PTS: 1 DIF: Difficult OBJ: Section 2. NAT: N N4 TOP: Problem Solving With in Fraction Form KEY: rational numbers fraction operations order of operations subtract multiply 10. ANS: C PTS: 1 DIF: Difficult+ OBJ: Section 2. NAT: N N4 TOP: Problem Solving With in Fraction Form KEY: rational numbers fractions order of operations add multiply divide 2
9 11. ANS: B PTS: 1 DIF: Average OBJ: Section 2. NAT: N TOP: Problem Solving With in Fraction Form KEY: rational numbers fraction operations problem solving 12. ANS: B PTS: 1 DIF: Difficult+ OBJ: Section 2. NAT: N N4 TOP: Problem Solving With in Fraction Form KEY: rational numbers fraction operations problem solving order of operations 1. ANS: D PTS: 1 DIF: Easy OBJ: Section 2.4 NAT: N5 TOP: Determining Square Roots of KEY: rational numbers perfect square 14. ANS: B PTS: 1 DIF: Easy OBJ: Section 2.4 NAT: N5 TOP: Determining Square Roots of KEY: rational numbers perfect square 15. ANS: B PTS: 1 DIF: Easy OBJ: Section 2.4 NAT: N6 TOP: Determining Square Roots of KEY: rational numbers square root 16. ANS: B PTS: 1 DIF: Easy OBJ: Section 2.4 NAT: N5 TOP: Determining Square Roots of KEY: rational numbers perfect square problem solving area
10 17. ANS: D PTS: 1 DIF: Average OBJ: Section 2.4 NAT: N5 TOP: Determining Square Roots of KEY: rational numbers perfect square area 18. ANS: A PTS: 1 DIF: Easy OBJ: Section 2.4 NAT: N6 TOP: Determining Square Roots of KEY: rational numbers square root 19. ANS: C PTS: 1 DIF: Average OBJ: Section 2.4 NAT: N5 TOP: Determining Square Roots of KEY: rational numbers square root perfect square area 20. ANS: A PTS: 1 DIF: Difficult+ OBJ: Section 2.4 NAT: N5 TOP: Determining Square Roots of KEY: rational numbers square root perfect square problem solving 4
11 SHORT ANSWER 21. ANS: ( ) ( 8.4 2) = (.) 4.2 = 1.86 No, Denise did not evaluate the expression correctly. She made a mistake subtracting 7.8 from 4.5. The answer should be negative, not positive. PTS: 1 DIF: Average OBJ: Section 2.2 NAT: N TOP: Problem Solving With in Decimal Form KEY: rational numbers order of operations number operations subtract multiply divide positive and negative integers 5
12 PROBLEM 22. ANS: a) 2 > 0.6 b) 1 4 = 0.25 c) 1.52 > d) 9 < 0.75 e) 0.9 < > f) PTS: 1 DIF: Easy OBJ: Section 2.1 NAT: N TOP: Comparing and Ordering KEY: comparing fractions decimal numbers 6
13 2. ANS: a) Example: sum of all numbers mean = number of numbers 4.54 = sum of all numbers 7 7( 4.54) = sum of all numbers 1.78 = sum of all numbers The sum of the rational numbers is b) Example: 6( 4.60) + x = x = 1.78 x = 4.18 The seventh number is PTS: 1 DIF: Difficult OBJ: Section 2.2 NAT: N TOP: Problem Solving With in Decimal Form KEY: order of operations decimal numbers problem solving 7
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