Algebra 1 - Semester 1 - Oregon High School



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PRE-ALGEBRA SEMESTER 1 EXAM REVIEW

Chapter 1 and 2

Simplify.

1. [pic] 2. [pic]

3. Explain the steps you would use to simplify.

32 + 3(11 - 6)

4. Which set of parenthesis makes this statement true?

[pic]

a. [pic] b. [pic]

c. [pic] d. [pic]

Evaluate each expression.

5. 7x + 4 for x = 12 6. -2m + 15 + 4n for m = 8 and n = 1

7. [pic] for d = 9 and p = 2 8. 3x + 2y2 - 9z for x = 6, y = 4, and z = 7

Write a number to represent the quantity.

9. nineteen degrees above zero. 10. a loss of seven yards

11. A submarine at 35 ft below sea level moves up 10 ft. What number represents the depth of the submarine?

12. If the temperature is -1[pic]F and it drops 5[pic]F overnight, what is the new temperature?

13. The last 5 transactions at Mr. Brigham’s ATM were $250, -$60, -$94, $300, and -$186. Find the average transaction amount.

14. For the first five legs of a bicycle race, Elena was 32 seconds, 5 seconds, 10 seconds, 8 seconds, and 12 seconds behind the leader. What was the average time she was behind the leader?

Use the scatter plot provided to answer the following questions.

15. How many repetitions did the person lifting 40 pounds do?

16. How many students did more than 6 repetitions?

17. How many students could lift more than 80 pounds?

Plot and label each point on the coordinate plane.

18. A (3, 2)

19. B (0, -4)

20. C ( -3, -1)

21. D (5, 0)

22. The cost of a mini pizza is $7 at Pizza Pizza.

a. Make a table of ordered pairs in which the x-coordinate represents the number of mini pizzas and the y-coordinate represents the cost of 1, 3, 5 and 7 pizzas at Pizza Pizza.

x y

b. State the domain for this relation.____________________

c. State the range for this relation.____________________

Chapter 4

Solve the equation.

23. a + 7 = 12 24. y – 5 = -22

25. 17b = -136 26. 7b = 56

27. [pic] 28. [pic]

29. 2x + 10 = 36 30. 5x – 9 = 29

31. 3.1y – 1.5 = 5.32 32. 1.2m + 7.5m + 2.1 = 63

33. 9 – 3(n – 5) = 30 34. [pic]

35. [pic]

Use the Distributive Property to multiply.

36. 8(4t - 5) 37. 8(3m + 1)

Simplify each expression.

38. -6t2 + 10t2 + 4t 39. 17x + 13x – 12x2

40. [pic] 41. 9d + 22 – 2d – 3

Write an equation and solve the following:

42. Thirteen multiplied by b is negative three hundred thirty-eight.

43. John is 50 years old. His age is 2 years more than 3 times the age of Sally. How old is Sally?

44. Romeo ordered a bouquet of roses for his girlfriend. Each rose cost $2.95, and the delivery charge was $8.50. If the total cost was $61.60, how many roses did Romeo order?

Chapter 5

Find the perimeter and area of the figures below:

45. 18 m

6 m

Perimeter:_______________ Area:_______________

46.

[pic]

Perimeter:_________________ Area:_________________

47. A rectangle has a length of 16.3 meters and a perimeter of 80.6 meters. What is the width of the rectangle?

48. Find the base of a triangle if the height is 9.75 feet and the area is 58.5 square feet.

Hint: [pic]

Solve the following equations.

49. y + 7 = 6y – 3 50. 7y + 8 = -2y – 64

51. 28 – 2.2x = 11.6x + 262.6 52. 2(6x + 1) = 4(x - 5) - 2

53. 2(a - 4) = 3(1 + a)

54. Maya bought a pair of boots for $32 and then bought 3 T-shirts. Paul bought a cap for $12 and then bought 5 T-shirts. If all the T-shirts cost the same amount, and Maya and Paul spent the same total amount, find the cost of one T-shirt.

55. One cellular phone carrier charges $26.50 a month plus $0.15 a minute for local calls. Another carrier charges $14.50 a month and $0.25 a minute for local calls. For how many minutes is the cost of the plans the same?

Compare. Use , or = to complete the statement.

56. [pic] ____ -8[pic] 57. [pic]____ [pic]

58. (-7)(-3) ____ 7(-12) 59. [pic]____ [pic]

Solve each inequality. Then graph the solution on a number line.

60. [pic] 61. [pic]

62. [pic] 63. 15v > -60

64. [pic] 65. -7d - 14> 42

66. Write an inequality to describe the situation.

Solve the equation for the given variable specified.

67. d(x – 3) = 5 for x 68. [pic] for v.

69. [pic] for x 70. A = [pic]r2 for r2

Chapter 6

71. Shown are 2 packages of soda on sale at Panther Mart.

Mrs. Jackson wants to buy the package of soda that is the least expensive per can. Which pack of soda shown should she buy? Explain your reasoning.

72. The Party Planner sells 10 paper plates for $2.50. Use the table to determine which company sells paper plates for the same price per plate.

73. An eight pack of juice boxes costs $4.79, and a twelve pack of juice boxes costs $6.59. Which is the better buy?

74. The average American student spends almost 1500 hours per year watching television. How many minutes per day is this? (1 year = 52 weeks)

75. Sam sprinted 77 feet in 10 seconds. How many miles per hour is this?

Reminder: (5280 feet = 1 mile)

76. The space shuttle travels at an orbital speed of about 17,240 miles per hour. How many meters per minute is this? Reminder: (1609 meters = 1 mile)

77. The average American uses about 90 gallons of water per day. How many liters per year is this? Reminder: (1 liter = 0.264 gallons)

Solve each proportion.

77. [pic] 78. [pic]

79. [pic]

80. Find the cost of 20 notebooks if 5 notebooks cost $2.17.

81. The scale on a map is 2 cm: 5km. If two cities are 12 cm apart on the map what is the actual distance between the cities?

82. Ms. Meyers is ordering ice cream for a school party. She knows that 3 gallons of ice cream will feed 11 students. If there are 850 students at the party, how much ice cream should she order?

83. At a pizzeria, a 10-pound bag of shredded cheese can be used to make 32 pizzas. How many pounds would be needed to make 100 pizzas?

84. The figures are similar. Find the missing value.

85. The figures are similar. Find the missing value.

86. Using the diagram below, how far is it across the lake if we know that the triangles are similar?

87. The triangles to the right are similar. What is the distance between Tarryhill and Tom's Falls?

88. The triangles to the right are similar. How far is the archery range from the soccer field?

89. A basketball hoop in Miguel’s backyard casts a shadow that is 8 feet long. At the same time, Miguel casts a shadow that is 4.5 feet long. If Miguel is 5.5 feet tall, how tall is the basketball hoop?

90. A tree casts a shadow 10 feet long. A 5 foot woman casts a shadow 4 feet long. How tall is the tree?

A letter is chosen at random from the word MATHEMATICS. Find the probability of each event.

91. P(A) 92. P(vowel)

Chapter 7

Write each decimal as a percent.

93. 2.732 94. 0.853

95. A recent survey of students with part-time jobs showed that 25% worked in a grocery store, [pic]worked in fast food, and 0.28 worked in childcare. Which of these jobs has the largest percentage of student workers?

Write the fraction as a percent.

96. [pic] 97. [pic]

Write an equation and solve.

98. 35 is 5% of what number? 99. 18 is what percent of 25?

100. What is 75% of 69? 101. What percent of 67 is 12?

102. Find the error. Todd and Jon are finding what percent of 80 is 28.

Is either of them correct? Explain your reasoning.

103. If 37 out of 80 cans on a shelf are tomato soup, what percent of the cans are tomato soup?

104. Find the percent of change. State whether the percent is an increase is a decrease.

Original price: $50 New price: $88

105. A backpack is on sale for 15% off the original price of $28.95. The tax in Wisconsin is 5.5%. What is the final price of the backpack?

106. A sporting goods store pays $180 for a rubber raft. The percent of markup is 40%. Find the raft’s selling price.

107. All snow equipment is on sale with a 25% discount. A pair of Sorel boots regularly sells for $195. Find the discount.

108. A sporting goods store pays $42 for a pair of roller blades. The percent of markup is 25%. Find the selling price of the roller blades.

109. Ms. Hawley deposited $850 in a savings account that paid 4.25% simple interest. What was the balance in her account at the end of 2 years?

110. Find the balance of $300 at an interest rate of 4% compounded annually for 3 years.

111. Ms. Twist deposited $2500 into an account earning 8% compounded monthly. What was the balance in her account at the end of 18 months?

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