Math 091

Basic CollegeMathematics

Final ExamReview

MATH 090/091 FINAL EXAM REVIEW

This review is intended as a sample of the types of problem covered in the course, but does notnecessarily reflect every possible problem that may appear on the actual exam.

CHAPTER 1

1. Write 4,250,312 in words

2. Write five million sixteen thousand four hundred one in standard form.

3. Find the quotient of 29645 and 73.

4. You had a bank balance of $843. You then wrote checks for $192, $65, and $19. Find the newbank balance.

5. A mechanic has a car payment of $147 each month. What is the total of the car payments overa 12-month period?

6. The total cost of a car, including finance charges, is $7632. This amount is to be repaid in 36equal monthly payments. What is the amount of each payment?

7. Find the mean of 42, 48, 50, and 64.

8. Simplify: 22 - 2.(12 + 6)

9. Simplify: 32' .4+ 6.23

10. Write the expression in symbols and simplify: twice the sum of 11 and 7.

CHAPTER 2

11. A plumber works 1 % hours of overtime on Friday, 6 % hours on Saturday, and 2 Y2hours on Sunday.At a wage of $21 an hour, how much overtime pay does the plumber receive?

12. Find the prime factorization of 315.

13 15-+-

13. Add: 14 18

1 2 1714 Add' 2- +4- +5-

. . 8 9 18

17 3

15. Findthe differencebetween 36 and 20

416. What is 25 - subtracted from 44?

7

1 317. Whatis the differenceof 42- and 16- ?

8 4

1 5

18. Findthe productof 93" and 118".

5 219. Findthe quotientof20- and6-.

9 3

20. Find the perimeter ofthe figure to the right.

1

1"2fl.

33- fl.4

(1)

2

(5 3

) . (2-)22. Simplify: "3 +"6 - 8" 7 12

23. Simplify as much as possible:

1 12- + 3-

8 31 1

1- + 5-6 4

24. Find the sum of7.814, 63.109, 2, and 0.0099.

25. Subtract: 496-13.771

26. Divide. Round to the nearest tenth. 0.473 + 0.54

36- fl4 .

CHAPTER 3

13- fl2 .

27. Write in standard form: seven and two hundred two ten-thousandths

28. Multiply: 7.9142 x 1000

29. What is 3.278 times 4.6 ?

30. Rainfall for the last three months of the year was 3.42 inches, 6.19 inches, and 4.65 inches. The normalrainfall for the last three months of the year is 11.40 inches. How many inches above normal was the rainfall?

2

31. Chris bought a compact disk for $16.83. How much change did he receive from a $20 bill?

32. Convert 0.375 to a fraction.

33. Convert 3.35 to a fraction.

2

34. Convert 53" to a decimal. Roundto thenearestthousandth.

35. Simplify as much as possible:3 2-(0.9) + -(0.4)5 5

CHAPTER 4

36. During one month, a furniture store sold 240 bedroom sets and 144 dining room sets. Find the ratio, as afraction in simplest form, of dining room sets sold to the number of bedroom sets sold.

37. Twenty-four feet oflumber costs $62.16. What is the cost per foot?

38. A grocery store sells 3 pounds of grapes for $2.00. What is the cost of 1 pound? Round to the nearest cent.

39. A homeowner bought a dining room table for $576 and 4 chairs for $112 each. What is the ratio, as a fractionin simplest form, of the total cost of the 4 chairs to the total cost of the dining room set?

40. Write as a unit rate: 297 miles on 9 gallons

41. Solve the proportion:3.4 5.1---20 n

42. Solve the proportion:321 x--

1,128 376

43. True or False:9 15---18 24

44. A stock investment of 150 shares paid a dividend of$555. At this rate, what dividend would be paid on280 shares of this stock?

CHAPTER 5

245. Write 15-% as a fraction.

3

46. Write 67.5% as a decimal.

47. Write 1.97 as a percent.

48. Write 0.009 as a percent.

3

49.5

Write - as a percent. Roundto the nearesttenth.6

50. 29% of 60 is what?

51. 42% of what is 105?

52. 166 is 83% of what?

53. What percent of 140 is 49?

54. At a resort city, the sun did not shine for 45 days out of 360 days. Find the percent of the days the sundid shine.

55. A person purchases a television which costs $259 and pays a sales tax which is 5% of the cost. What is thesales tax on the television?

56. A real estate agent gets a commission of 6% on all houses he sells. Ifhis total sales for December are$420,000, how much money does he make?

CHAPTER 9

57. Which statement is correct?

A) -12> -18 B) -12 > 18 C) -12 > 0 D) 0 > 18

58. Evaluate: -1- 91

59. Add: 37 + (-12) + (-5)

61. What is -23.061 decreased by -14.005?

62. Subtract: -16-(-18)-(-13)

63. Multiply: -8(-12)(-4)

64. Multiply: (-1 ~)( 2 ~)

65. Simplify: (- ~)'66. Find the quotient of -68 and -2.

67. Divide:3.5--

-0.7

68. Simplify:(-7)(32) - 4(5 -10) - 84

69. Simplify: (-3)(-4) + 2(-5)

3(-6) + 8(2 - 5)

-2(5) + 4(-3)10 - 8

70. Simplify:

71. Simplify:

CHAPTER 7

1

72. Convert 8"2 feet to inches.

73. Convert 100oz. to pounds.

74. Convert 30 quarts to gallons.

75. Convert 4 ff to square inches.

76. Convert 1220F to degrees Celsius.

77. Convert 196 cm to mm.

78. Convert 0.154 kg to g.

79. Convert 1.65 L to cubic centimeters (cc).

80. Find the number of gallons in 8 L of antifreeze. (1 L = 1.06 qt.)

81. Express 48 mi/hr in kilometers per hour. (1 mi. = 1.61 km)

82. A 12 square-meter patio is to be built using bricks that measure 10 cm by 20 cm. How many bricks will beneeded to cover the patio?

ANALYZINGSTATISTICAL GRAPHS

The circle graph shows the annual expenses of owning and operating a car (#83 & 84)

ANNUAL CAR EXPENSES

1: $2160 -Car Payments2: $ 960 -Fuel3: $ 600 - Insurance4: $ 750 -Maintenance

83. Find the ratio of the annual fuel cost to the total annual car payments.

84. Find the ratio of the cost of insurance to the total annual car payments.

5

The circle graph shows the distribution of an employee's gross monthly income of $3200.

MONTHLY INCOME

1: 53% -Take home pay2: 10% -Retirement

3: 15% - Savings4: 22% -Taxes

85. How much does the employee deposit monthly into a retirement fund?

The pictograph below shows the amount of tuition paid per semester by each part-time and full-time studentenrolled in the day and evening divisions at a local college. Each $$ represents $200. (#86 & 87)

86. How much would a student pay ifhe attends full-time during the day in one semester and part-time in theevening the following semester?

87. What is the ratio of part-time evening tuition to full-time evening tuition?

GEOMETRY

88. Find theperimeterof a rectanglewitha lengthof2 m anda widthof 0.8m. (P = 2L + 2W)22

89. Findthe circumferenceof a circlewitha radiusof 14cm. UseIT =- .7

290. Findthe area of a trianglewitha baseof 2- ft. anda heightof 15ft.3

2 191. Findthe volumeof a rectangularsolidwith a heightof -em, widthof 2-em and length12 em.3 2

(V = LWH)

(C =2ITr)

1(A= -bh)

2

6

Full-time Day Students $$ $$ $$ $$ $$ $

Part-time Day Students $$ $$ $$ $$

Full-time Evening Students $$ $$ $$ $

Part-time Evening Students $$ $$

EXAM REVIEW KEY

CHAPTER 1

1. four million two hundred fifty thousand three hundred twelve2. 5,016,4013. 406 r74. $5675. $1764

CHAPTER 43

36 -. 5

37. $2.5938. $0.67

7

39. 1640. 33miles/gallon41. n=3042. x = 10743. false44. $1036

CHAPTER 547

45. 30046. 0.67547. 197%

48. 0.9%

49. 83.3%50. 17.451. 25052. 20053. 35%54. 87.5%55. $12.9556. $25,200

7

6. $2127. 518. 09. 84

10.2(11+7);36

CHAPTER 3CHAPTER 2

1II. $231 18. 108-

21

12. 3.3.5.7 19. 3-12

16 113 1- 20. 21-ft.. 21 6

7 414. 12- 21. -

24 7729 19

15 - 22. 1-. 90 90

323. 131

16. 18"7 154

17. 258

24. 72.9329 30. 2.86 inches

25. 482.229 31. $3.17

26. 0.9 32. 3/8

27. 7.0202 33. 3.2.20

28. 7914.2 34. 5.667

29. 15.0788 35. 0.7

CHAPTER 9 CHAPTER 7

57. A 72. 102 inches

58. -91

73. 6-lbs.41

74. 7-gal2

75. 576 in2

59. 20

60. -1.!2.24

61. -9.056

62. 1563. -384

464. -4-

9

76. 50° C.

77. 1960 mm78. 154 g

79. 1650em3

65. -216

66. 3467. 568. -5169. 270. -4271. -11

80. 2.12 gal.

81. 77.28 km/h82. 600

ANALYZING STATISTICAL GRAPHS

4

83. "95

1884.

85. $320

86. $1500

487 -

. 7

GEOMETRY

88. 5.6 m

89. 88 em90. 20 sq. ft.91. 20 cc, 20 em3 or 20 cubicem

8