<p>Name______Date ______Period ______Algebra I Midterm Exam Review Sheet 2007-2008</p><p>1. Find the next two terms in the pattern: 1, -3, 9, -27, 81, -243, ____, ____</p><p>2. Find the tenth term in the sequence: 3, 5, 7, 9, …</p><p>3. A salesperson earns a salary of $500.00 per week, plus a commission of 2% of her total weekly sales. Write an algebraic expression that computes the total weekly salary. Let m represent the total weekly sales.</p><p>4. An architect makes $75.25 per hour. What will his/her gross income be after completing a 95-hour project?</p><p>5. Two different jobs have been offered to you. Job A pays $3,000 per month with a one-time expense bonus of $500 per year. Job B pays $2,200 per month with an expense bonus of $250 per month. Which job has a greater gross income and by how much?</p><p>6. Evaluate I -4998I</p><p>7. Express the following situation using inequalities. “Sara needs to work more than 35 hours this week to make enough money to pay for her car.” Let y represent the number of hours.</p><p>8. How do you graph x > 7?</p><p>9. In order to simplify the expression 3(w + 7), what property do you use?</p><p>10. What is the equivalent expression for 7x + 21 before the distributive property was applied?</p><p>11. George’s dinner came to $32.48 without tip. He wants to leave a 20% tip. Determine the total amount of money he must pay, including the tip.</p><p>12. Simplify 3(y – 2) + 4(4 – y)</p><p>1 13. Simplify (2x + 4) – 7(2 – x) 2</p><p>14. Sam sold 25 televisions at a cost of $250.00 each. If their total income was $54,000.00, how many additional televisions were sold at this same rate?</p><p>15. Simplify: 17 + (4³)(3) – 2</p><p>16. Ally works at the American Airlines Arena making $7.50 an hour. If she works 3 hours per day, 5 days a week, what will be her gross income per week?</p><p>17. If P represents pay rate, T represents hours per day, D represents days worked and M represents earnings; write a formula to represent an individual’s earnings.</p><p>18. Solve for n: 3n + 7 = 43</p><p>19. Solve for n: 3n + 5 = 35 5</p><p> n 20. Solve for n: + 7 = 5 6</p><p>2 x 21. Solve the proportion: = 5 25</p><p>22. 2 hours is the same as ______seconds. 23. Solve the equation 14x = 28</p><p>24. Solve for n: -n – 4 = 15</p><p>25. Identify the slope of the line that contains the following points. (4, 0) and (5, 7)</p><p>26. Identify the slope of the line that contains the following points. (-3, 5) and (10, 5)</p><p>27. Identify the slope (m) of the line whose equation is: y = 12x + 6</p><p>28. Solve the following equation for y: Ax + By = C. Identify the slope.</p><p>29. Know how to determine whether a proportion is equivalent.</p><p>30. Evaluate: f(-2) if f(x) = 2x² - 6x – 3</p><p>31. In chemistry class, Max weighs 4 samples of baking soda. Place the numbers shown in order of increasing weight measured in grams: 14.230, 14.203, 14.320, 14.023</p><p>32. The temperature at mid-afternoon was 16 degrees Celsius. By early evening, the temperature was -6 degrees Celsius. Give an equation that represents the change in temperature? </p><p>33. The junior class officers are planning the food and games for their “End of the Year” party. They plan to buy 6 bottles of soda at $2.05 a bottle and 5 pounds of hamburger at $1.99 per pound. The rest of the food will be donated. If each of the 30 officers brings $2.00, how much money will be left over?</p><p>34. Which algebraic expression means the same as this phrase? Five less than six times a number x</p><p>35. Solve for a. 8(3a – 2) + 3a = 63. (Round your answer to the nearest hundredth).</p><p>36. Jaclyn can inspect about 60 gadgets per hour. Which is the best estimate of the number of gadgets she can inspect in 5 weeks if she works 8 hours each day, 5 days per week?</p><p>37. Danielle has an overdue library book. The fine that she must pay is $3.00 plus $0.20 per each day it is overdue. If f = total fine and d = number of days past due, give an equation for the total amount due. Use both variables f and d.</p><p>38. Leo took 8 math tests. His scores were 69, 89, 12, 85, 44, 94, 55 and 50. Find the mean of Leo’s scores.</p><p>39. You plan to rent a car from Discount Car Rentals. Discount Car Rentals charges a fee of $41.35 per day for a car rental. They also charge an additional charge of $0.26 per mile. How much will it cost to rent a car for 10 days and drive it 94 miles?</p><p>40. Know the quadrants in a coordinate plane.</p><p>41. If given a point, be able to give its coordinates (ordered pairs).</p><p>42. What is the slope and y-intercept of the line shown below? Also give the slope of the line that is perpendicular to it. Name another line that is parallel. 43. Calculate the slope. (Hint: Slope is also known as rise over run). Rise = 7 Run = 4</p><p>44. Simplify the following using the distributive property: 4a(b – 4ac)</p><p>45. What is 33% of 400?</p><p>46. Factor 2 from the following polynomial 20a + 4b – 4</p><p>47. What is the slope of the line that passes through the points (2,4) and (6, 12)</p><p>48. Name 5 points that are on the line whose equation is y = 2x – 9</p><p>12 49. What is the inverse of 10</p><p>50. Divide the following: -237 ÷ 39. (Round your answer to the nearest hundredth).</p><p>51. Multiply the following: 12 • (-16)</p><p>1骣- 3 52. Add the following: - + 琪 7桫 8</p><p>5骣 7 53. Divide the following: - �琪 6桫 18</p><p>骣4 骣 10 54. What is the value of the following: 琪- 琪 - 桫5 桫 11</p><p>55. Find the value of the following: - -4 =</p><p>56. What is the value of the following: -56 + (-151) = </p><p>57. What is the value of the following: -46 + (-18) = </p><p>58. Evaluate the following expression if x = 12 and y = -4 7x + xy² – y</p><p>59. Write in standard notation: 1.24 x 104</p><p>60. What is the total cost of a $245.99 calculator if the sales tax rate is 7%?</p><p>61. Describe how to plot the point (-7, 5). You would start at the origin and move. Left? Up? Right? Down?</p><p>62. Evaluate the following expression: 6 + 3 • 30 ÷ 15</p><p>63. Evaluate the following expression: -134 – (-330)</p><p>64. Evaluate the following expression: -936 ÷ (-23). Round to the nearest tenth.</p><p>4 12 65. What is the value of x in the following proportion? = x 9</p><p>66. Find the mean of 13, 33, 23, 13, 43 and 10? 67. A bicycle is priced at $1,570. If the bicycle is on sale at a 35% discount, how much will Ann save by buying it at the discounted price?</p><p>68. What is the value of the following expression: 9n – t, if n = 4 and t = 26</p><p>69. What is 45% of 430?</p><p>70. What is the definition of coefficient? Like terms?</p><p>71. What is the definition of slope? Is it run over rise?</p><p>72. What is the difference in an equation and an inequality?</p><p>73. Jim looks at his watch and it is 12:15 PM. What time is it when he looks at his watch after 90 minutes pass?</p><p>74. Use the distributive property to rewrite the expression: -3(x + 5)</p><p>75. Solve for x. -9x – 45 = 54</p><p>76. Six different stores sell the same jogging jacket for different prices: $31.95; $26.30; $29.00; $32.50; $25.25; and $38.00. Find the mean of the different prices.</p><p>77. The two rectangle sandboxes are similar. One has a width of 4m and a length of 9m. The other one has a width of 7m and a length of l. Write a proportion that correctly represents this situation.</p><p>78. What is the definition of a prime number?</p><p>79. What is the definition of a composite number?</p><p>80. Find the x-intercept and y-intercept for the following equations: a. 2x + 4y = 16 b. –4x + 3y = 24</p>