Villa Victoria Academy. Algebra 1 Honors Summer Packet--- Mr. DiMaggio

Transcription

1 Villa Victoria Academy Algebra 1 Honors Summer Packet--- Mr. DiMaggio Ø Objective: To practice your math skills so that your chances of success in Algebra 1-H are enhanced. Ø Please complete the packet over the summer and then hand it in on first day of school. Ø The packet will be your first homework assignment. Ø Don t try to do the whole packet in one day as you do need to enjoy your summer break as well J Have a great summer, Mr. DiMaggio

2 VILLA VICTORIA ACADEMY Algebra 1 Honors Summer Packet--- Mr. DiMaggio Directions. Ø Calculators are permitted unless stated otherwise. Ø Scrap paper: a. Write your name on your scrap paper. b. Show work for full credit. c. Number each problem. Ø Hand in packet, and scrap paper on first day of school. Ø Part 1. Calculators are permitted on this section of the test. 1-4 Mary scored the following on her math tests during the second semester. 70, 8, 8, 8, 85, 85, 88, 91, 95, and 100 Calculate the: 1. mean. range 3. mode 4. median 5. Lauren buys a television set marked $580. She receives a 9.% discount. Find the selling price of the television set. 6. There is a 5. % sales tax charged in the state where Lauren shops (refer to problem 5). What is the final price of the TV with the sales tax? 7. Find the length of the hypotenuse of a right triangle if the lengths of the legs are 10. m, and 4.5 m. o 8. In! ABC C = 98.3 and B= 4 o. Find the measure of A (9-10) Given: A rectangular prism whose height is 10.6 m, width is.5 m, and length is 8.7 m. Find: 9. The surface area 10. The volume ( V = length x width x height)

3 11. The city of Marion plans to build a bridge across Pine Lake. Use the diagram below to find the distance across the lake. 10 m 100 m 55m Pine Lake 1. A $90 pair of slacks is marked down to $ Find the rate of discount Calculate each of the following ! 4! π P C A fertilizer is spread at a rate of 30 pounds for ,500 ft? ft. How many pounds are needed for 18. Find the volume of a cylinder with diameter 80.3 ft and height 3.8 ft. ( V = π r h) 19. Find the interest to the nearest cent on $150 at 1% for 5 years. (Use the formula I = P R T)

4 Ø Part. Calculators are not permitted on this section of the test. Simplify each of the following a(10a 7a ) x 4 + 8x ( 18) 3 7. ( ) 9 ( x y )( xy ) ab 4 9b 30. (x x 6) + (5x x 4) 31. (4x 6) (x 8) 3. Express 5% as a fraction in simplest form. 33. Express the number as a percent. 34. Write 7 40 as a percent.

5 Solve each of the following open sentences x = (x 1) = x x 7 = y = y x x < x (50x 1) = x = Write the product (5 )(5 )(5 )(5) in exponential form. 44. Find the LCM of 3 5 1a b and 9a b 45. Evaluate 7b 3a + c if a = 3, b = 10, c = What percent of 10 is 30? Vickie wants to write the number using standard notation. How many zeros must Vickie write in her number. 48. Write 15,000,000 in scientific notation. 49. Charles gets into an elevator on the 30 th floor. He rides 8 floors up, 10 floors down, 6 floors up, and floors down. Then he gets off the elevator. What floor is Charles on now? 50. Caitlin has 8 blue, 4 yellow, 9 purple, and 7 red barrettes in a drawer. If she chooses one without looking, what is the probability she will pick a red or blue barrette?

6 51. Lauren bakes a round cake which has a diameter of 0 inches. She places a decoration around the circumference of the cake. How long is the decoration? 5. Translate the following sentence into an equation. when twice a number is decreased by 8, the result is Shelby has 5 pairs of pants and 3 dress shirts. How many different outfits are possible? 54. Find the number of degrees in a section of a circle graph that is to represent 60%. 55. Use the diagram to find m PQR if m PQR = x + 10 and m SQT = 3x 40 P S Q R T o o 56. In quadrilateral ABCD, m A= 65, m B= 75,and m C = 140 o. Find m D 57. Find the surface area of a cube with an edge of 6 cm. The length of a rectangle is 30 inches. What is the width if the area is 10 in 58. Name a quadrilateral that has exactly one pair of parallel lines.

7 Use the diagram below. Assume that lines l and m are parallel. t l m True or false. 1and 3 are vertical angles. 60. True or false 1and are supplementary angles. 61. True or false 6 6. True or false True or false Is the point (-1,) a solution of 3x + y = 1? 65. Find the slope of the line that contains A(7,-5) and B(5,-3) Given: y = x Find the x-intercept 67. Find the y-intercept 68. Use given graph to graph the equation 69. Use given graph to graph the inequality 1 y > x 3 4

8 GRAPHS