Course 2 Summer Packet For students entering 8th grade in the fall

Transcription

1 Course 2 Summer Packet For students entering 8th grade in the fall The summer packet is comprised of important topics upcoming eighth graders should know upon entering math in the fall. Please use your notes from the 7 th grade year, and the textbook site (phschool.com) as needed to refresh your memory. Please work on the packet in small chunks throughout the summer, NOT IN ONE SITTING. Working in this way will best help you reinforce and retain the information that you learned this year. The packet will be graded for completion and counted as two homework grades. In order to receive full credit, all work must be neatly shown in the space provided on the packet sheets as close to the question as possible. Circle your answers. If more space is needed, extra paper is allowed. However, all work must be neat and numbered. Calculators are not permitted. After a review of the packet, there will be a test on these topics during the first week of school in the fall. Have a safe and wonderful summer!

2 1. Estimate.. 2. Find. 3. Find. Find the value of the expression Find the product Find the quotient

3 12. Mark has $186 in his savings account. He withdraws $94, deposits $56, and then withdraws $70. Find the balance of his account. 13. Ms. Carter recorded the number of sick days taken last year by each employee, as shown in the table. Employee Sick Days Keisha 1 Chantal 3 Sarita 5 Grace 5 Shawn 1 Dimitri 3 Leah 2 Gregor 0 Anthony 5 What is the mean number of days employees were sick? Round to the nearest tenth. 14. Find the median of the set of data: 61, 40, 65, 48, 64, 57, 64, 42, 56, 55

4 Simplify. 15. Write in standard form A 48-year-old person is hours old. Write this number in standard form. 18. Find the LCM of 10 and Find the GCF of 74 and Write the fraction in simplest form. 21. Emilio attends school 180 days out of the 365 days in a year. For what fraction of the year is Emilio in school? Write your answer in simplest form.

5 22. Four students took a test this week. The results are shown in the table below. Who got the highest test score? Student Subject Number of Questions Correct Total Number of Questions Tamisha Social Studies Theo Math Jolon Science Mario English Match each point with one of the following fractions: A B C D Write as an improper fraction. 25. Write as a whole or mixed number in simplest form. 26. Sapphire is making bouquets of balloons for a graduation party. She has 191 balloons and needs to put 12 balloons in each bouquet. How many bouquets can Sapphire make? Write the fraction as a decimal Frank has a batting average of Write this decimal as a fraction in simplest form.

6 Order from least to greatest , 0.86,, 0.67 Estimate the sum Peter measured the width of one cardboard strip as 2 ft. A second cardboard strip measured 3 ft in width. Estimate the combined width of the cardboard strips. Find the sum

7 Find the difference = 36. Find the area of a rectangle with length m and width m. 37. A rectangular patio is 9 yd 2 ft long and 5 yd 2 ft wide. What is the perimeter of the patio in yards? Complete. 38. c = fl oz in. = ft Evaluate. 40. for y = for d = 35, g = 19, and h = The cost in dollars of a school banquet is, where n is the number of people attending. What is the cost for 52 people?

8 Solve each equation Solve the inequality The difference between a number x and 13 is at least 15. Write and solve an inequality.

9 Solve the inequality. Graph the solution Write in simplest form. 54. Jake sold 39 tickets to the school fair and Jeanne sold 12 tickets. What is the ratio, in simplest form, of the number of tickets Jeanne sold to the number of tickets Jake sold? Write a unit rate for the situation. Round to the nearest tenth if necessary. 55. traveling 212 km in 6 h 56. During one team s season, the ratio of the number of games the team won to the number of games the team played was 4 to 12. The team played 42 games. How many games did the team win? 57. Solve the proportion. = 10 16

10 58. The triangles below are similar. Find the value of x. 59. In the scale drawing below, each side is 1.9 cm long. Use the scale factor shown. What is the perimeter of the actual object? 1 cm = 6.5 m 60. Los Angeles is about 385 miles from San Francisco. How far apart would the cities be on a map with a scale of 1 in. = 25 mi? If necessary, round to the nearest hundredth. 61. A scale model of a car is 10 in. long. The actual car is 15 ft long. What is the scale of the model? Write the decimal as a percent

11 Write the fraction as a percent. If necessary, round to the nearest tenth of a percent Write the percent as a fraction in simplest form. 90% Write the percent as a decimal and as a fraction % 67. Find 70% of A ski club planned a trip to Lake Tahoe, and 44 of the members signed up to go. If this is 30% of the club, how many members does the ski club have in total? Use a proportion to solve. 69. What percent of 44 is 11? is 20% of what number? 71. Suppose you rent a limousine for a formal reception. The bill for the evening is $ A tax of 6% will be added, and you want to tip the chauffeur 20% (before tax) for excellent driving. How much will you pay in total?

12 72. Find the commission on a $ sale if the commission is 15%. 73. Find the percent of decrease. 125 to A department store purchases a dress for $80. To sell the dress to customers, the price is marked up by 20%. You hand the clerk $100. How much change will you get back? 75. Estimate a 15% tip for a $26.80 meal. Use the points in the diagram to name the figure. 76. C D 77. C D Use the figure. 78. Identify a segment skew to.

13 79. Identify a segment parallel to. 80. The measure of C is 93. Is it acute, obtuse, or right? 81. Find the measure of z. z 60º 82. Triangle ABC has angles measuring 137, 15, and 28. Is it acute, obtuse, or right? 83. Find the values of x, y, and z. 51º 60º 38º x y z 84. The plans for a home renovation include a new window. The home owner picked a window shaped like the one shown. Identify the polygon and classify it as regular or irregular.

14 85. Which figures appear to be congruent? 86. The two triangle-shaped gardens are congruent. Find the missing side lengths and angle measures. z w u 10 yd w 6.2 yd y 7.9 yd x 38º v 87. The two rectangular rooms shown below are congruent. The architect did not finish the diagrams. Find the missing side lengths and angle measures. c 13 ft h d 18 ft g

15 88. MNO PQR O R 68º M 59º 53º N P Q a. Find the measure of Q. b. Find the measure of P. Use the circle. A B O C 89. Identify the radii of circle O. Find the area and the perimeter of the parallelogram A town plans to make a triangular park. The triangle has a base of 120 feet and a height of 115 feet. What will the area of the park be?

16 Find the area of the trapezoid. 92. Use = 3.14 to find the area of the circle. Round your answer to the nearest tenth m m 95. Estimate the value of to the nearest whole number. 96. Suzanne wants to put a fence around her square garden. If the garden covers an area of 100 ft 2, how many feet of fencing does she need?

17 Find the missing length. Round to the nearest tenth, if necessary h x 99. Find the volume of the cylinder. Use = Find the area of the parallelogram ft 20 ft 26 ft

18 Find the area of a trapezoid with bases b 1 and b 2 and height h b 1 = 13.8 cm b 2 = 16.8 cm h = 4 cm Use = 3.14 to find the circumference of the circle to the nearest tenth in The radius of a circular hat is 3.7 inches. Find the circumference. Use = Round to the nearest tenth. Tell whether each number is rational or irrational

19 107. A triangle has side lengths 4m, 6m, and 10m. Is it scalene, isosceles, or equilateral? 108. A triangle has side lengths 5in, 5in, and 7in. Is it scalene, isosceles, or equilateral? 109. Supplementary angles add to be how many degrees? 110. Find the surface area of the prism.