Math 100 Final Exam Review 2012 -2013

Math 100 Final Exam Review2012 -2013[CLO 1] Perform fundamental operations on whole numbers, integers, fractions, and decimals.1. Perform the indicated operations.−17 + −14 − −183. Divide and simplify, if possible. ÷ 5. Multiply and simplify, if possible. ∙ 7. Add and simplify, if possible. + 9. Perform the indicated operations andsimplify, if possible.−5 + 11 − 6 + 22. Perform the indicated operations.−6 − −8 + 10 − 34. Divide and simplify, if possible.÷ 6. Multiply and simplify, if possible.∙ 8. Subtract and simplify, if possible. − 10. Perform the indicated operations andsimplify, if possible.−9 + 2 − 13[CLO 2] Solve application problems involving integers, fractions, and decimals.11. An airplane is carrying 180 passengers,which is of the capacity of theairplane. What is the capacity of theairplane?13. Suppose that Miguel's checking accountshows a balance of $382.35 at thebeginning of the month. During thismonth, he makes deposits $580.00,$300.00, $182.50, and $45.00, and hewrites checks for $85.35, $210.50,$43.75, and $650. Find the end-of-themonthbalance in his account.12. A bus is carrying 60 passengers, whichis of the capacity of the bus. What isthe capacity of the bus?14. Barbara wants to buy a new minivan for$18,000. She has talked to the loanofficer at her credit union and knowsthat they will loan her $12,600. Shemust also pay $350 for a license fee and$1200 for taxes. What amount of cashwill she need to buy the minivan?15. There were 23 1 yards of wire on a3spool. After a customer bought 18 1 2yards of wire from the spool, how manyyards were left?16. A rancher fed his sheep 2 1 pounds of2feed on Monday and 5 1 pounds on4Tuesday. Find the total number ofpounds of feed he used in these twodays.Math 100 Final Exam Review [2012-2013] 1

35. Find the area of a triangle with a base of13ft and height of 11ft.36. Find the area of a triangle with a base of12ft and height of 23ft.37. Find the area of a rectangle with alength of 22 m and a width of 21 m.Round your answer to the nearesthundredth.39. Find the circumference of a circle with aradius of 15 in. Use ≈ 3.14. Roundyour answer to the nearest hundredth.38. Find the area of a rectangle with alength of 11.5 m and a width of 17.3 m.Round your answer to the nearesthundredth.40. Find the circumference of a circle with adiameter of 8 yd. Use ≈ 3.14. Roundyour answer to the nearest hundredth[CLO 5] Demonstrate an understanding of simplifying algebraic expressions.41. Simplify.6 + 3 − + 842. Simplify.8 − 14 + − 1043. Simplify.5 + 2 − 7 + 144. Simplify.3 − 4 + 5 + 145. Simplify.−4.22.8 − 4.6 − 3.347. Simplify.53 + 2 − 149. Simplify.45 − 2 + 73 − 46. Simplify.−3.51.2 + 2.9 − 848. Simplify.−2 − 3 + 750. Simplify.53 − 1 − 26 − [CLO 6] Demonstrate the ability to transform algebraic expressions using algebraic properties and the order ofoperations to evaluate, simplify, expand, factor, and otherwise produce equivalent expressions.51. Evaluate the given expression at = −2.2 − 6 − 553. Add and simplify.3 + 5 − 4 + 2 + − 155. Multiply.−3 2 + 557. Multiply and simplify. − 59. Multiply and simplify.2 + 1 − 552. Evaluate the given expression at = 4.3 + 2 − 1154. Subtract and simplify.2 + 4 + 8 − + 3 + 256. Multiply.5 −4 + 658. Multiply and simplify.3 + 1 60. Multiply and simplify. − 7 + 8Math 100 Final Exam Review [2012-2013] 3

[CLO 7] Demonstrate an understanding of solving simple linear equations and proportions..61. Solve the proportion.= 63. Solve the equation. − 13 = −1065. Solve the equation.3 = −3067. Solve the equation.2 + 6 = 1469. Solve the equation.7 + 3 = −30 + 1062. Solve the proportion.= 64. Solve the equation. + 2 = −1166. Solve the equation.−5 = 4568. Solve the equation.3 + 13 = 170. Solve the equation.6 + 2 = 14 + 26[CLO 8] Demonstrate knowledge and understanding of rational numbers, algebraic properties, combining liketerms, and combining several algebraic properties to solve linear equations.Solve each of the following.71. 6 − 3 = 3 + 2 72. 3 − 5 = 8 + 1 + 373. + = 74. + = 75. 3 + 11 = 8 − 4 76. 9 + 3 = 5 − 977. + = 78. + = 79. 6 − 3 = 3 + 2 80. 2 − 7 = 4 + 1 − 26[CLO 9] Demonstrate knowledge and understanding of exponents (positive, negative and zero). Comprehend andapply the concept of polynomials and its operations such as addition, subtraction, multiplication and division.Simplify each expression. Write answers using only positive exponents.81. ∙ ∙ 82. ∙ ∙ 83. 84. 85. 86. 87. 3 4 88. −2 7 89. 90. Math 100 Final Exam Review [2012-2013] 4