<p> Basic College Mathematics Review</p><p>1. Find the unit price of each brand. Then determine which package has the lower unit price.</p><p>BRAND PACKAGE PRICE UNIT PRICE A 15 oz $1.07 B 29 oz $1.69 C 29 oz $1.32</p><p>2. Round 68,489 to the nearest thousand.</p><p>3. Round 10.688 to the nearest hundredth.</p><p>4. Add. 3213 + 1245</p><p>5. Subtract. 9465 – 8791</p><p>6. Multiply. 24 x 19</p><p>7. Multiply. 349 x 763</p><p>8. Add and simplify, if possible. 3 9 + 4 4</p><p>9. Subtract and simplify, if possible. 7 2 - 8 3</p><p>10. Add and simplify, if possible. 1 1  5 9</p><p>11. Add and simplify, if possible. 2 1 + 13 26</p><p>Revised: March 2009 Page 1 of 7 0884f67ad9db0212fef83b77c4a1122a.doc 11 12. Write as a mixed number. 3</p><p>3 13. Write 4 as an improper fraction. 5</p><p>14. Multiply and simplify, if possible. 4 36  9</p><p>15. Multiply and simplify, if possible. 5 14 - 7 35</p><p>16. Divide and simplify, if possible. 4 8 5 15</p><p>17. Divide and simplify, if possible. 13骣 13 - �琪 25桫 5</p><p>18. Find the absolute value. - 38</p><p>19. Compute and simplify. 13</p><p>7xz 20. Evaluate. for x = -7, y = 2, and z = 6 y</p><p>21 21. Write the fraction in simplest form. 30</p><p>275 22. Write the fraction in simplest form. 5</p><p>23. Evaluate. 12 2</p><p>24. Simplify. 12� 12 10 5</p><p>Revised: March 2009 Page 2 of 7 0884f67ad9db0212fef83b77c4a1122a.doc 25. Simplify. 43- 5 2 + ( 16� 4 23 3)</p><p>26. Find all the factors of 15.</p><p>27. Find the LCM of 16, 25, and 32.</p><p>28. Find the prime factorization of 198.</p><p>29. Add. 88.11 + 0.4 + 3 + 81.91 + 40.691</p><p>30. Subtract. 40.03 – 5.789</p><p>31. Subtract. 20 – 0.0027</p><p>32. Add. -27 +( - 11)</p><p>33. Add. 17+( - 3)</p><p>骣1 骣 2 34. Subtract and simplify. 琪- - 琪 - 桫3 桫 3</p><p>35. Multiply. 0.0081 x 4.5</p><p>36. Convert to decimal notation. Round to the nearest thousand. 11 12</p><p>37 37. Convert to decimal notation. 1000</p><p>38. Convert to decimal notation. 7%</p><p>39. Convert to decimal notation. 85.3%</p><p>40. Convert to fraction notation and simply, if possible. 40% Revised: March 2009 Page 3 of 7 0884f67ad9db0212fef83b77c4a1122a.doc 17 41. Convert to percent notation. 20</p><p>42. Convert to percent notation. 1.5</p><p>5 43. Convert the fraction to a percent. 8</p><p>44. A 20 oz. package of orange roughly costs $9.98. Find the unit price in cents per ounce. Round to the nearest cent.</p><p>45. A group of 4 friends spent $23.80 on lunch. What was each person’s share?</p><p>15 36 46. Solve.  22 x</p><p>47. Use a proportion to solve the problem: How tall is a tree that casts a 25 ft shadow at the same time a 9 ft light pole casts a 15 ft shadow? </p><p>48. Find the average (mean) for the set of numbers. Students in a math class: 35, 40, 42, 45, 36 Round your answer to the nearest whole number if necessary.</p><p>49. Find the median for the set of numbers. 15, 8, 3, 5, 6, 11</p><p>50. Find the mode for the set of numbers. 8, 3, 11, 6, 3, 5, 8, 3</p><p>51. Find the average. Jeremy’s car got 261 miles (highway) on 9 gallons of gasoline. What was the average number of miles per gallon?</p><p>Revised: March 2009 Page 4 of 7 0884f67ad9db0212fef83b77c4a1122a.doc 52. Find the diameter, the circumference, and the area of the circle. Use 3.14 for  (pi) as indicated.</p><p>30in </p><p>53. Find the perimeter of the polygon. A rectangle measuring 2.3 ft by 5.4 ft.</p><p>54. Find the area of a rectangle measuring 4.9 yd by 29.09 yd.</p><p>55. Simplify the expression. 4c+ 8 + c - 7 c - 3</p><p>56. Multiply. -2(3x – 4)</p><p>57. Multiply. 4(7a + 5)</p><p>58. Classify the angle.</p><p>B</p><p>A D C</p><p>59. Classify the triangle.</p><p>A) B) C) D)</p><p>60. Find the measure of the missing angle in the figure.</p><p>22°</p><p>61. Given the pair of the triangles is similar, find the length of the side labeled x.</p><p>Revised: March 2009 Page 5 of 7 0884f67ad9db0212fef83b77c4a1122a.doc x 7 4 8</p><p>62. Lorenzo makes donations of $627 and $48. What was the total donation?</p><p>63. A machine wraps 134 candy bars per minute. How long does it take this machine to wrap 8710 bars?</p><p>64. A share of stock bought for $29.63 dropped $3.88 before it was resold. What was the price when it was resold?</p><p>65. At the start of a trip, a car’s odometer read 27,428.6 mi, and at the end of the trip, the reading was 27,914.5 mi. How long was the trip?</p><p>66. From an income of $12,000, amounts of $2300 and $1600 are paid for federal and state taxes. How much remains after these taxes have been paid?</p><p>67. A substitute teacher is paid $47 a day for 9 days. How much was received altogether?</p><p>3 1 68. A person walks km per hour. At this rate how far would the person walk in hr? 5 2</p><p>69. Eight identical sweaters cost a total of $679.68. What is the cost of each sweater?</p><p>70. Eight gallons of exterior paint covers 400 ft2. How much paint is needed to cover 650 ft2?</p><p>Revised: March 2009 Page 6 of 7 0884f67ad9db0212fef83b77c4a1122a.doc Basic College Mathematics Review ** Answer Key **</p><p>1. (A) 7.133 ¢/oz 26. 1, 3, 5, 15 53. 15.4 ft. (B) 5.828 ¢/oz 27. 800 54. 142.541 yd2 (C) 4.552¢/oz 28. 2鬃 32 11 2. 68,000 29. 214.111 55. -2c + 5 3. 10.69 30. 34.241 56. -6x + 8 4. 4458 31. 19.9973 5. 674 32. -38 57. 28a + 20 6. 456 33. 14 58. A: obtuse; 7. 266,287 1 8. 34. 3 3 B: right; 5 35. 9. 0.03645 C: straight; 24 36. 0.917 37. D: acute 10. 14 0.037 45 38. 0.07 59. A: right; 5 39. 0.853 11. B: isosceles; 26 40. 2 5 C: scalene; 12. 2 3 41. 3 85 % 42. D: equilateral 23 150 % 13. 60. 68o 5 43. 62.5 % 14. 61. 14 16 44. 50 ¢ 62. 15. 2 $675 - 45. $5.95 7 63. 46. 65 min 16. 3 52.8 64. $25.75 2 47. 15 ft. 65. 17. 1 48. 485.9 mi 5 40 66. $8100 18. -38 49. 7 19. 3 67. 50. $423 20. -147 3 3 7 51. 29 mi/gal 68. km 21. 10 10 52. 60 in.; 22. 55 69. $84.96 23. 144 188.4 in.; 70. 24. 13 gal 142 2826 in2 25. 172</p><p>Revised: March 2009 Page 7 of 7 0884f67ad9db0212fef83b77c4a1122a.doc </p>