Algebra I Midterm Exam Review Sheet 2003-2004

Name______Date ______Period ______Algebra I Midterm Exam Review Sheet 2007-2008

1. Find the next two terms in the pattern: 1, -3, 9, -27, 81, -243, ____, ____

2. Find the tenth term in the sequence: 3, 5, 7, 9, …

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.

4. An architect makes $75.25 per hour. What will his/her gross income be after completing a 95-hour project?

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?

6. Evaluate I -4998I

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.

8. How do you graph x > 7?

9. In order to simplify the expression 3(w + 7), what property do you use?

10. What is the equivalent expression for 7x + 21 before the distributive property was applied?

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.

12. Simplify 3(y – 2) + 4(4 – y)

1 13. Simplify (2x + 4) – 7(2 – x) 2

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?

15. Simplify: 17 + (4³)(3) – 2

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?

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.

18. Solve for n: 3n + 7 = 43

19. Solve for n: 3n + 5 = 35 5

n 20. Solve for n: + 7 = 5 6

2 x 21. Solve the proportion: = 5 25

22. 2 hours is the same as ______seconds. 23. Solve the equation 14x = 28

24. Solve for n: -n – 4 = 15

25. Identify the slope of the line that contains the following points. (4, 0) and (5, 7)

26. Identify the slope of the line that contains the following points. (-3, 5) and (10, 5)

27. Identify the slope (m) of the line whose equation is: y = 12x + 6

28. Solve the following equation for y: Ax + By = C. Identify the slope.

29. Know how to determine whether a proportion is equivalent.

30. Evaluate: f(-2) if f(x) = 2x² - 6x – 3

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

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?

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?

34. Which algebraic expression means the same as this phrase? Five less than six times a number x

35. Solve for a. 8(3a – 2) + 3a = 63. (Round your answer to the nearest hundredth).

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?

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.

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.

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?

40. Know the quadrants in a coordinate plane.

41. If given a point, be able to give its coordinates (ordered pairs).

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

44. Simplify the following using the distributive property: 4a(b – 4ac)

45. What is 33% of 400?

46. Factor 2 from the following polynomial 20a + 4b – 4

47. What is the slope of the line that passes through the points (2,4) and (6, 12)

48. Name 5 points that are on the line whose equation is y = 2x – 9

12 49. What is the inverse of 10

50. Divide the following: -237 ÷ 39. (Round your answer to the nearest hundredth).

51. Multiply the following: 12 • (-16)

1骣- 3 52. Add the following: - + 琪 7桫 8

5骣 7 53. Divide the following: - �琪 6桫 18

骣4 骣 10 54. What is the value of the following: 琪- 琪 - 桫5 桫 11

55. Find the value of the following: - -4 =

56. What is the value of the following: -56 + (-151) =

57. What is the value of the following: -46 + (-18) =

58. Evaluate the following expression if x = 12 and y = -4 7x + xy² – y

59. Write in standard notation: 1.24 x 104

60. What is the total cost of a $245.99 calculator if the sales tax rate is 7%?

61. Describe how to plot the point (-7, 5). You would start at the origin and move. Left? Up? Right? Down?

62. Evaluate the following expression: 6 + 3 • 30 ÷ 15

63. Evaluate the following expression: -134 – (-330)

64. Evaluate the following expression: -936 ÷ (-23). Round to the nearest tenth.

4 12 65. What is the value of x in the following proportion? = x 9

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?

68. What is the value of the following expression: 9n – t, if n = 4 and t = 26

69. What is 45% of 430?

70. What is the definition of coefficient? Like terms?

71. What is the definition of slope? Is it run over rise?

72. What is the difference in an equation and an inequality?

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?

74. Use the distributive property to rewrite the expression: -3(x + 5)

75. Solve for x. -9x – 45 = 54

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.

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.

78. What is the definition of a prime number?

79. What is the definition of a composite number?

80. Find the x-intercept and y-intercept for the following equations: a. 2x + 4y = 16 b. –4x + 3y = 24