Chapter 10: Cumulative Review for Chapters 1–10 *Additional answers can be found in the Answers to Exercises appendix. 1) Write each number in digits. a) forty-seven thousandths 0.047 b) twenty-one million, nine thousand, two 21,009,002 2) Write each number in words. a) 16,090,254,700 b) 2.19 3) Round 8,672,341 to the nearest hundred-thousand. 8,700,000 4) Round 92.537 to the nearest tenth. 92.5 For Exercises 5–24, perform the operations. 5) 14.64 4.8 3.05 6) 3 2 5 7 5 6 4 13 30 7) 3 4 3 10 9 20 8) 147 (316) 169 9) 26 64 10) a4 5 3 b 64 125 11) 14 5.983 8.017 12) 16 (2.97) 47.52 13) 20 49 a 14 45 b 8 63 14) 90 50 2 15) 6 2 3 4 1 2 11 1 6 16) 9 4 18 1 8 17) (0.06)(0.017) 0.0102 18) 11 15 7 12 3 20 19) 48 18 6 32 54 20) 13 5 (7 9)3 27 21) 42 23 1 16 22) 52 216 142 52 3110 22 7 3 14 23) 19,402 739 438,005 2,954 461,100 24) 2,778 4,300 1,522 25) Evaluate 3a3 5b2 when a 2 and b 3. 69 26) Add like terms: 10k3 6k2 k2 4k3 3k2 14k3 4k2 Solve each equation. 27) 6y 54 y 9 28) 37 15 w w 22 29) 3p 11 5p 3 p 4 30) 4(c 3) 40 c 13 31) 3 4 n 21 n 28 32) 1.2x 27.5 33.86 x 5.3 Solve each problem. 33) A square-dancing club has 75 members, and 24 of them have been members for more than 5 years. What percent of the members have been in the club for more than 5 years? 32% 34) Angela is in charge of cookie sales for her daughter’s Girl Scout troop. If there are 16 girls in the troop and 3 8 of them have turned in their cookie money, how many girls have not turned in their cookie money? 10 35) A video game costs $49.95 before tax. If the tax rate is 8.5%, a) fi nd the amount of tax to the nearest cent. $4.25 b) fi nd the total cost of the video game. $54.20 36) The population of a town is 8680. If 3 out of 7 people in this town have at least a bachelor’s degree, fi nd the number of people with at least a bachelor’s degree. 3720 Use this information for Exercises 37 and 38: Christina’s four test scores are 83, 92, 87, and 94. 37) Find her test average. 89 38) What is the median score? 89.5 For Exercises 39 and 40, write an equation and solve. 39) Seven less than twice a number is 55. Find the number. 31 40) Tyrone is 24 years older than his son. Currently, the sum of their ages is 54. How old is Tyrone, and how old is his son? Tyrone: 39; his son: 15 41) Find the area and perimeter of this rectangle. 7 cm 11 cm area: 77 cm2; perimeter: 36 cm 42) Find the area and circumference of the circle to the nearest tenth. Use 3.14 for . area: 113.0 in2; circumference: 37.7 in. Simplify using the rules of exponents. Assume that the variables do not equal zero. Write the answers with only positive exponents. 43) 39 35 81 44) x4 x6 x10 45) (2n7)3 8n21 46) a a 11 2 a2 b 121 47) Subtract 3k2 14k 8 from k2 15k 2. 2k2 k 10 48) Multiply (2h 9)(3h 4). 6h2 19h 36 Use the table for Exercises 49 and 50. Average One-Way Commute Times for Selected Metro Areas in 2010 City Time (in minutes) Chicago 31.08 New York 34.55 Washington D.C. 33.23 (www.bizjournals.com) 49) Which city has the longest average commute time? 50) How much longer is the commute in Washington D.C., compared to Chicago? 2.15 min 6 in. New York City 808 CHAPTER 10 The Rules of Exponents and Polynomials www.mhhe.com/messersmith
messersmith_power_prealgebra_1e_ch4_7_10
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