8th Pre Algebra End of Year Review

Transcription

1 8th Pre Algebra End of Year Review p (t + 5m) 3. Name the property shown by the statement. 8. z 8 9. x y z 10. Simplify 9j(5)(3k) = Make a scatter plot of the data. Does there appear to be a relationship between the scores? Explain. 11. Find each product, sum, or difference. Write in simplest form Replace each sentence with <, >, or = to make a true 14. Peter made dozen cookies for a bake sale and used cups of flour. How much flour is needed for one dozen cookies? 15. A package of soccer accessories costs $25 for cleats, $14 for shin guards, and $12 for a ball. Write two equivalent expressions for the total cost of 9 accessory packages. Then find the cost. 16. Salvador bought 3 pounds of oranges that cost x cents per pound, a cucumber for 59, and 2 bananas for 35. Write an expression in simplest form that represents the amount he spent. 17. The difference between the highest and lowest elevations in Africa is 6051 meters. The lowest elevation is 156 meters. Write and solve an equation to find the highest elevation in Africa. 18. When you divide a number by 7, the result is 6. Write and solve an equation for this sentence. Solve each equation. Evaluate each expression if x = 5, y = 2, and z = z 3 + 2z = 33

2 = r + 7 3r 21. 3y 15 = 8y Write an inequality for the graph. 23. An F-6 tornado has winds that are at least 319 miles per hour. Suppose a tornado has winds that are 275 miles per hour. Write and solve an inequality to find out how much he winds must increase before the tornado becomes an F-6 tornado. 24. Three more than the quotient of a number and 7 is at most 92. Find the number. 25. Solve. Graph your solution on a number line. 33. Complete the conversion. Round to the nearest hundredth. 8 in. cm 34. The cheetah is the fastest of all land animals. It can reach speeds of up to 75 miles per hour. How many feet per second is this? 35. Determine whether the set of numbers in the table is a proportion. 36. Solve. 37. Solve. 26. Express 56 novels out of 168 books as a fraction in simplest form. 27. Paul s car gets 32 miles per gallon of gasoline. How many gallons does he need to travel 368 miles? 28. Write the ratio of 92 people to 4 buses as a fraction in simplest form. 29. Compare the unit rates. Use <, >, or =. $18 for 6 lb of candy $12 for 3 lb of candy 30. Lina drove 150 miles in 2.5 hours. At this same rate, how far will she drive in 4 hours? 31. Express $130 for 5 hours of work as a unit rate. 32. A gallon of milk sells for $3.09 and a quart of milk sells for $0.80. Which item has the better unit price? 38. Ms. Beatrice is buying pancake mix for the Pancake Breakfast. She knows 2 boxes will feed 49 people. If she expects 147 people to attend, how many boxes will she need? 39. Solve. 40. Find the scale factor if 2 in. = 3 ft. 41. Write 55% as a fraction in simplest form. 42. What percent of 12 is 9? 43. A used laptop computer sells for $696, which is a 40% reduction from the original price. What was the original price of the computer? 44. A $98 dress is marked down to $ Find the percent of change. 45. Write as a fraction in simplest form. 46. Write 150% as a mixed number in simplest form.

3 47. Of the students in the band, 32 out of 128 are in the brass section. What percent is this? 48. Write as a percent. 49. Write the set in order from least to greatest is 20% of what number? 51. What is 36% of 90? 52. Estimate a 15% tip on a bill for $ Find the simple interest earned on $750 invested at 4.8% for 5 years. Use the circle graph. 54. What is the measure of the central angle of the portion representing purple jerseys? 55. If 560 people were surveyed, how many chose red for the color of the new team jerseys? 56. The table represents the temperature y at x kilometers above sea level for a certain location. Describe the relationship between the temperature and the altitude. Is this relation a function? 57. Find the 16th term of the sequence 12, 18, 24, 30, Find two solutions of 6x 12y = 0. Write the solutions as ordered pairs. 61. The table shows the wind chill temperature for different wind speeds when the actual temperature is 25 F. State the rate of change. 59. Find the x-intercept and y-intercept of x y = 2. Then graph the equation. 62. Write an equation in slope-intercept form for the line graphed. 60. Find the slope of the line that passes through A( 7, 2) and B(3, 3).

4 74. Simplify ( 4t 3 ) Determine whether y = 0.4x 2 is a linear or nonlinear equation. Explain. 76. Graph y = x If (2, b) is on the graph of the line with slope and y-intercept 3, find the value of b. 64. The scatter plot below shows a correlation between x and y. Draw a best-fit line for the data. Use the best-fit line to predict the value of y when x is Graph y = 2x Find the product of (3 6 )(3)(3 5 ). Express your answer using exponents. 78. Graph y = 3 x Evaluate 3x 3 if x = Evaluate 3r 3 + 4s if r = 2 and s = Write the prime factorization of Find (3m 3 n)(7mn). 70. Find 71. Write 5 7 using a positive exponent. 72. Express 25,400,500 in scientific notation. 73. Order , 0.041, 4100, , 41,000 and from least to greatest. 79. Order from least to greatest. 80. Solve m 2 = Classify the angle with measure of 91 as acute, obtuse, right, or straight.

5 82. A triangle has angles measuring 24, 66, and 90. Classify the triangle as acute, right, or obtuse. 83. Find the missing measure to the nearest tenth. 84. The lengths of the sides of a triangle are 9, 9, and 15. Determine whether this is a right triangle. 85. Find the distance between the points H(15, 3) and G( 10, 1). Round to the nearest tenth, if necessary. 91. Find the area of a trapezoid with height 6 centimeters and bases 8 centimeters and 4 centimeters. 92. Find the sum of the measures of the interior angles of an octagon. 93. Find the circumference and area of a circle if its diameter is 12 feet. Round to the nearest tenth. 94. Find the area of the figure shown to the nearest tenth, if necessary. 86. Find the exact value of x in the figure shown. Find the volume of each figure. Round to the nearest tenth, if necessary. 87. Angles R and S are complementary. Find if. 88. Find the measure of if. 89. The vertices of a figure are W( 2, 3), X(0, 5), Y(3, 1), and Z( 3, 4). What are the vertices of the transformed image after a clockwise rotation of 270 about the origin? 95. cylinder: radius 4.2 cm, height 9 cm 96. cube: side 8.5 in. 97. Julian owns an ice cream parlor. For pricing purposes, he needs to know how much ice cream a waffle cone holds. The cone is inches deep and has a diameter of 3 inches. What is the volume of the waffle cone? Round to the nearest tenth, if necessary. 98. Find the volume of the figure shown. Round to the nearest tenth, if necessary. 90. Find the value of x. Then find the missing angle measures.

6 Find the surface area of each solid. If necessary, round to the nearest tenth Make a box-and-whisker plot of the data. 99. rectangular prism: height 9 ft, width 11 ft, length 21 ft 100. cylinder: height 20 in., diameter 16 in Find the interquartile range What percent of the members are 58 years old or older? Use the data in the table A model of a building is 18 inches long, 15 inches wide, and 24 inches high. On the model, 1 inch represents 12 feet. How tall is the actual building in feet? 113. Display the set of data in a histogram. Use the stem-and-leaf plot, which shows the ages of members of a community chorus How old is the oldest member of the chorus? 105. In which interval do most of the ages occur? 106. What are the mode or modes of the data? 107. What is the mean of the data? Round to the nearest tenth What is the median age of the members? 109. What is the range of the data? 114. How many students read at least 5 books? 115. About what percent of students read 15 or more books? 116. A sheet set is available in red, green, purple, or blue, and a choice of twin, queen, or king size. Find the number of different sheet sets you can buy Three coins are tossed. What is the probability of two tails and one head?

7 118. A bag contains some marbles: 9 white, 6 green, 4 red, and 5 purple. A marble is randomly selected. Find the probability that a green marble is chosen Danielle has 3 dimes, 2 quarters, and 5 nickels in her pocket. What is the probability that she chooses a dime followed by a quarter 119. The table shows the results of an experiment in which a die was rolled. Find the experimental probability of rolling a What are the odds of rolling doubles when rolling two number cubes? Identify each sample as biased or unbiased and describe its type To determine who will vote for the current mayor in the upcoming election, a polling committee calls every twentieth person listed in the phone book To determine what hot lunch item should be added to the cafeteria menu, a student surveys other students in his homeroom A magazine surveyed 300 subscribers about their favorite features of the magazine. If 15 subscribers say they prefer the letters to the editor, how many subscribers out of 1,000 can be expected to prefer the letters to the editor? Tell whether each situation is a permutation or combination. Then solve Steve has 9 mystery books. How many ways can he arrange them on a bookshelf? 125. How many ways can you choose 4 pair of socks out of 12 pair for a trip? 126. Two number cubes are rolled. What is the probability of getting a sum less than 7?

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