Name: Date: Period: Study Guide: Final Exam Wednesday, June 19th

Transcription

1 Part A: Multiple Choice (1 point) * Directions: Circle the correct answer choice for the following multiple choice problems The graph below shows the relationship between velocity and time for a car. What is the acceleration of the car in meters per second? a. 4 b. 6 ⅔ c. 9 d a. $11.25 per pound b. $19.25 per pound c. $7.75 per pound d. $7.20 per pound 3. Which of the following tables shows a proportional relationship between x and y? a. ½ b. ⅔ c. 1 ½ d As a real estate agent, Lauren earns 2.5% commission on her sales. Lauren's goal is to earn $5,000 in commission this month. What is the dollar amount of sales that Lauren must have this month to earn $5,000 in commission? a. $5,125 b. $12,500 c. $20,000 d. $200, Suri saved $50 of her paycheck the first week she worked and $25 of her paycheck each week after the first week. How many weeks did it take Suri to save a total of $1,000? a. 20 b.38 c. 39 d The radius of a circular garden is 5 ft. What is the area of the garden? Use a ft 2 b ft 2 c ft 2 d. 90 ft 2

2 8. A store sells circular rugs in three different sizes. The rugs come in diameters of 8 ft, 12 ft, and 16 ft. Find the areas of the three different sizes of rugs. Round your answers to the nearest tenth.! a ft 2 ; ft 2 ; ft 2! b ft 2 ; ft 2 ; ft 2! c ft 2 ; ft 2 ; ft 2! d ft 2 ; ft 2 ; ft 2 9. Kristine wants to do hardwood flooring for her room. A floor plan of the room (in feet) is shown. How much hardwood flooring does she need? a. 114 ft 2 b. 112 ft 2 c. 116 ft 2 d. 60 ft Which of the following sets of rational numbers is ordered from greatest to least /3 40% a. 0.04, 40%, , 4/3 b. 4/3, , 40%, 0.04 c. 40%, , 4/3, 0.04 d , 0.04, 4/3, 40% 12. A rectangle has a length of d + 6 centimeters and a width of 8 inches. The perimeter of the rectangle is 42 centimeters. What is the value of d? a. d = 1 b. d = 7 c. d = 5 d. d = There are 500 students at Jacob's school. Jacob wants to conduct a survey of the students at his school to determine the level of interest in participating in a musical. Which of the following is most likely to produce a representative sample of students' interest in participating in the musical? 10. Which of the following side lengths will create a triangle? a. 2 in, 2 in, 8 in b. 10 in, 1 in, 1 in c. 7 in, 2 in, 6 in d. d. 3 in, 5 in, 4 in a. A survey of every fifth student to arrive at school one day b. A survey of the first 100 students to arrive at school one day c. A survey of the students in one randomly selected homeroom d. A survey of the students who take theater classes and music classes

3 14. Which fraction is the same as 3.08? 15. Solve: a. 56 / 25 b. 77 / 25 c. 19 / 5 d. 32 / 5 a. -6 b. -2 c. 2 d = 16. Elisa divided the staircase figure below into rectangles. What is the total area of the figure? 18. The probability that a new car at a local dealership has a bad headlight is Which statement best describes the probability of this event? a. It is likely that a new car at a local dealership has a bad headlight. b. It is unlikely that a new car at a local dealership has a bad headlight. c. It is equally likely that a new car at a local dealership has a bad headlight or a good headlight. d. It is impossible that a new car at a local dealership has a bad headlight. 19. A standard number cube is rolled once. What is the probability that a number less than 3 is rolled? a. a. 150 mm 2 b. 200 mm 2 c. 250 mm 2 d. 325 mm What is the volume of the rectangular solid shown below? a. 10 in 3 b. 25 in 3 c. 30 in 3 d. 62 in 3 b. ½ c. d. 20. A hat contains 5 red balls, 8 green balls, and 9 yellow balls. Rina chooses one ball at random from the hat. What is the probability that Rina does not choose a red ball? a. 23 % b. 59 % c. 36 % d. 77 %

4 21. Jason is 72 inches tall. Which measurement does not describe Jason s height? a. 6 feet b. 7 feet 2 inches c. 2 yards d centimeters 22. The box and whisker plot below represents the daily high temperatures at a beach in April. What was the median daily high temperature? 24. Of the following situations, which is best represented by the product 5(-3)? a. The height of a child who grew 3 inches each year for 5 years b. The change in temperature as it decreases 5 degrees every hour for 3 hours c. The amount of money a snack bar earns for selling 3 sandwiches for $5 per sandwich d. The change in elevation of a submarine as it sinks 3 meters every second for 5 seconds 25.Determine which vehicle has the better gas mileage. a. 68 F b. 72 F c. 78 F d. 84 F 23. Cherie cut four congruent triangles off the corners of a rectangle to make an octagon, as shown below. What is the area of the shaded region? a. A Mustang travels 448 miles on 16 gallons. b. A Hummer travels miles on 32 gallons. c. A Honda travels 198 miles on 3 gallons. d. A Toyota travels 477 miles on 11 gallons. 26. Some friends have dinner at a restaurant. The total bill for dinner is $41. The friends want to leave a 15% tip. What is the tip? What is the total bill? a. 128 cm 2 b. 136 cm 2 c. 140 cm 2 d. 152 cm 2 a. tip: $6.15; total: $47.15 b. tip: $15; total: $56 c. tip: $6.15; total: $34.85 d. tip: $0.62; total: $41.62

5 27. Sally sells a house that costs $250,000. She earns a $5,000 commission. What was her commission rate? a. 5 % b. 2% c. 3% d. 0% 28. A ticket to a Knicks game costs $ There is a 6.5% transaction fee. What is the total cost of the ticket? Part B: Short Response (2 points) * Directions: Answer the following questions with either sentences to explain your thoughts or diagrams to explain your reasoning. 31. The total distance Jim traveled on his bike durning a 5-hour period is shown in the graph below. Is the total distance proportional to the time? Explain. a. $ b. $ c. $ d. $ Which of the following is equivalent to the expression ½x + 4x - ½x + 60? a. 3(x+20) b. 4(x+15) c. 4(x+60) d. 5(x+12) 30. How can Ms. Vincent find the retail price of a pair of jeans costs x dollars and has a 7% sales tax using only one step? 32. Mark read 42 pages of a book every ¾ hour. Write an equation that model the relationship between x, the number of hours Mark reads and y, the number of pages of the book he reads. a. 0.07x b. 1.07x c. x + 7x d x

6 33. Can a triangle be constructed with side lengths of 5 inches, 7 inches, and 13 inches? Use freehand drawings and words to explain your answer. 36. Indicate whether each of the following shapes is a possible two-dimensional cross sections of a cube. Put one check mark in each row of the table below. 34. What are the measures of angle 1 and angle 2? Explain your answer. 37. The figure below consists of a rectangle and a triangle. What is the total area of the figure? Show your work. 35. A circle has an area of 121π inches squared. What is its circumference, in inches, in terms of π?

7 38.Donna say that the two expressions are equivalent. Is she correct? Explain why or why not! 7(x - 3) + x and 8x Explain what a graph would look like for a relationship that is not proportional. 39. Solve: Hailey draws a scale drawing of her son s bedroom, John. If each 3 cm : 9 ft in reality, what are the actual dimensions of John s room? (3 points) 42. Ms. Uribe has a collection of 27 video games. In 5 years she wants to have 2.25 times as many games as she has now. How many games does Ms. Uribe want in her collection? Actual Length: Actual Width: 43. Find the area of the composite figure. Show all your work. 40. A bird was sitting on a branch 1 ½ feet above the surface of a lake. The bird saw a fish and dove 2 ¼ feet straight down to catch it. Use the number line below to show how to find the depth, in feet, of where the bird caught the fish.

8 44. Find the volume of the composite figure. Show all your work. Part C: Extended Response (3 points) * Directions: Make sure you answer each part and show ALL of your reasoning. 46. Analyze the following table. # of Tickets Total Price a. For each column of the table, find the ratio of the total price to the number of tickets. Write each ratio in simplest form. Total Price # of tickets 45. Find the surface area of the composite figure. Show all your work. b. Are the costs proportional? c. Explain or Justify!!! Why or Why not!!

9 47. Carl s monthly income is $4,000. The circle graph below shows Carl s monthly budget. order they are chosen. a. Make a list to show all possible outcomes. a. How much money did Carl budget for food each month. Show your work. b. What is the theoretical probability that both of the two digits are odd? b. Carl budgeted $60 each month for clothes. What percent of the money budgeted for Other Expenses is budgeted for cloths. Show your work. c. Where would you classify the event on the continuum? 48. Two digits are chosen from the digits 1 through 5 and are written down in the

10 49. At a pizzeria, a plain slice of pizza costs $2.25 and each additional topping costs $0.50. Jared buys a slice of pizza for a total cost of $ Use the diagram below to help answer the question. Show all of your work. a. Write an equation for the situation. b. What is the value of x in the equation above? a. Write an equation that can be used to solve for the value of x. Solve for x. c. What is the meaning of the above variable x in terms of the situation? b. What is the measure of angle ABC? d. Look at the equation you wrote for part a. If the total of the pizza was not given: What would the equation look like? Would you be able to solve for x? c. Explain what angle property allows you to assume that the measure of angle EBD and ABC would be congruent.