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Math 952 Exam 5: Study Guide Section 5.1 Find each quotient and round the answer as indicated. Write the following words in decimal notation. 27) 6:429 9:4 (To the nearest tenth) 1) Five and twenty-eigth thousandths. 28) 1:64) 35 2) Six hundred and sixty-six hundredths. 29) 5:483 3) Three thousand four hundred ninety-…ve and 30) 0:03) 6:275 (To the nearest tenth) 2:7 (To the nearest hundredth) (To the nearest thousandth) three hundred forty-two thousandths. Write the following decimal numbers in words. 4) 0:53 5) 19:102 6) 25:4538 Section 5.4 Find the mean, median, mode (if any), and range of the given data. 31) Nine test scores selected at random from Dr. X’s course Round each of the following decimal numbers as in- in statistics: 95 82 85 71 65 32) The distance from Chicago to dicated. 85 62 77 98 7) 18:123 (To the nearest tenth) Boston: 980 miles Cleveland: 345 miles 8) 0:076 (To the nearest tenth) Dallas: 930 miles Denver: 1050 miles 7:997 (To the nearest hundredth) Detroit: 280 miles Indianapolis: 190 miles Los Angeles: 2110 miles San Francisco: 2210 miles New Orleans: 950 miles Miami: 1390 miles 9) 10) 1:66666 (To the nearest thousandth) Section 5.2 Seattle: 2050 miles 33) Banks, savings, and loans sometimes fail. Most are in- Find each of the indicated sums. sured by the FDIC (Federal Deposit Insurance Corporation). 11) 3:577 + 16:563 + 25:01 In the years from 1995 to 2004 the following numbers of banks 12) 4:0085 + 0:054 + 0:7 + 0:03 and savings and loans have failed: 1995: 8 1996: 6 1997: 1 13) 43:655 + 9:33 + 12 + 30:1 2000: 7 2001: 4 2002: 11 1998: 3 1999: 8 2003: 3 2004: 4 Find each of the indicated di¤erences. 14) 29:6 13:71 15) 22:426 17:538 16) 31:007 0:543 Section 5.5 Change each decimal to fraction form (or mixed num- Simplify each expression by combining like terms. 17) 8:3x + x 22:7x 18) 2:1x + 8:2x 19) 8:4m y ber form) and reduce if possible. 34) 3:1y 3:7m + 2n 0:1n 2:75 35) 0:125 36) 3:45 Solve each of the following equations. 20) 16:5 + y = 30 21) z 15:2 8:65 = 22:3 22) w + 67:5 = 88:54 12:56 17:2 Change each fraction to decimal form. If the decimal is nonterminating, write it using the bar notation over the repeating pattern of digits. 7 37) 11 Section 5.3 Find each of the indicated products. 38) 5 18 39) 5 16 23) (0:5) (0:7) 24) 5:6 ( 0:02) 25) 0:0312 0:065 26) ( 93:1) (0:57) Page: 1 Bibiana Lopez Math 952 Exam 5: Study Guide Change each fraction to decimal form rounded to the Section 10.2 nearest thousandth. 5 40) 24 Find the perimeter of the following …gures with indicated dimensions. 25 11 41) 61) Perform the indicated operations by writing all the numbers in decimal form. Round to the nearest thousandth if the decimal is nonterminating. 42) 1 7 + 0:3555 + 62) 2 3 3 89 43) 25:03 + 35 + 6 10 + 4 100 44) 1 0:125 3 2 10 1 38 5 12 45) 46) 47) 3:75 63) (0:63) (2:1) (3:6) + 3 12 j 10:7j 64) Section 5.6 Solve the following equations. Section 10.3 48) 0:7x + 10:2 = 31:9 49) 0:2 (y + 6:3) = 17:5 50) 1 2t 51) Find the area of each of the following …gures with the + 16:3 = 21:45 0:4 (m 12:7) = 52) 0:12w + 0:25w indicated dimensions. 0:2m + 11:65 5:895 = 4:3w 65) Applications. 53) The total cost of a box of computer discs and a manual was $30.45. If the price of the box of discs was $4.55 less than the price of the manual, what was the price of each item? 66) 54) If 14.66 plus twice a number equals the sum of the number and 1.56, what is the number? 55) A truck rental agency rents trucks for $45.50 per day plus $0.25 per mile. If the fee for one day’s use was $105.50, how many miles was the truck driven? 67) Small radius = 6 mm Big radius = 12 mm Section 7.2 56) 6:5 + 1:2x = 0:5 57) y 0:3x 68) 0:1y + 0:9 = 0:2 (y + 1) 58) 0:5m + 0:75m 59) 0:5 (x 60) 0:6w 1= 5m 3) = 0:4 (x + 1) 4 = 0:2w 5 Page: 2 Bibiana Lopez Math 952 Exam 5: Study Guide Section 10.4 Find the length of the missing side. Find the volume of each of the following …gures with the indicated dimensions. 81) 69) 82) 70) 83) 71) 84) Section 5.7 State whether or not each number is a perfect square. 73) 256 74) 45 Find the value of each of the following expressions. p 2 75) 36 p 2 76) 352 p 2 21 77) Use the Pythagorean Theorem to determine whether or not each of the following triangles is a right triangle. 78) 79) 80) Page: 3 Bibiana Lopez