Alaska 9PTRWM. Standards Based Assessments. Grade 9 Reading Writing Mathematics Practice Test Book. Comprehensive System of Student Assessment

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1 laska 9PTRWM omprehensive System of Student ssessment Standards ased ssessments Grade 9 Reading Writing Mathematics Practice Test ook Spring 212 laska epartment of Education & Early evelopment Name:

2 MTHEMTIS You may use the Mathematics Reference Sheet any time during the test. 1. The measure of an angle is 75. What is the measure of its complementary angle? The first six terms of a sequence are shown in the table below ? What is the next term in the sequence? S: 9PTRWM 68

3 3. The diagram below shows a swimming pool. y MTHEMTIS x Which diagram shows another swimming pool congruent to the first swimming pool? y y x 2 x y y x 2 x S: 9PTRWM 69

4 MTHEMTIS 4. The number of passengers on a bus for 7 consecutive days is shown below. 35, 35, 28, 3, 35, 32, 34 Which best shows the number of passengers most often on the bus? mean median mode range 5. orey used the following table when making iced tea. Iced Tea Ingredients ups of Water Tea ags Which equation shows the relationship between the number of cups of water (x) and the number of tea bags needed (y)? y =2x +1 y =2x +5 y = x +2 y = x +3 S: 9PTRWM 7

5 MTHEMTIS 6. The expression below shows how many blocks lma uses to build a planter How many blocks does lma use to build the planter? What is the slope of the line whose equation is 3x + y = 12? S: 9PTRWM 71

6 8. my asked students to choose one preferred snack. She displayed the results on the graph shown. Snack crackers fruit popcorn pretzels vegetables MTHEMTIS Preferred Snacks Number of Students Key girls boys Which snack did the greatest number of students prefer? fruit popcorn pretzels vegetables 9. The equation below represents the relationship between the rate at which snow fell and the total number of inches of snow that fell during a snowfall. rh = t The snow fell at a rate of r inches per hour for h hours. total of t inches of snow fell during the snowfall. Which equation shows how to find the number of hours, h, the snow fell? h = r + t h = t r h = t r h = r t S: 9PTRWM 72

7 MTHEMTIS 1. The graph below shows Rent--ar s rates for cars and trucks. Rent--ar s Rates $1 $9 $8 $7 ost ($) $6 $5 $4 $3 $2 $1 $ Miles truck Key car The base price to rent a car is $6, and there is an additional cost of $2 per mile. The base price to rent a truck is $4, and there is an additional cost of $3 per mile. t how many miles will the cost be the same to rent either vehicle? S: 9PTRWM 73

8 MTHEMTIS 11. rystal is playing a game with the spinner shown below. It is rystal s turn to spin the arrow What is the probability the arrow will land on a number that is both odd and shaded? The amount of interest (I) Karl will earn on the amount of principal (p) he has in his bank account is found by using the formula I = prt, with r representing the rate of interest and t the time the money will be in the account. Sheena has twice the amount of principal as Karl in a bank account at the same rate for the same amount of time. How does the interest earned on Sheena s principal compare to the interest that will be earned on Karl s principal? The interest Sheena earns will be 1 2 as much as Karl earns. The interest Sheena earns will be 8 times as much as Karl earns. The interest Sheena earns will be 1 8 as much as Karl earns. The interest Sheena earns will be 2 times as much as Karl earns. S: 9PTRWM 74

9 13. The table below shows the prices a company charges for basketball trophies. asketball Trophy Prices Number of Letters (x) Price (y) $3.9 1 $4. 2 $4.1 3 $4.2 4 $4.3 Each price depends on the number of letters (x) to be engraved. Which equation models the price (y) of a trophy with x letters? y = x y = 3.9x y = x y =3.9+1x MTHEMTIS S: 9PTRWM 75

10 14. The total sales for Monica s store for the first year was $225,. Monica s profit was 2 5 of the total sales. What was Monica s profit for the first year? $ 22,5 $ 45, $ 9, $135, MTHEMTIS 15. The floor of an art gallery is a square with an area of 62,5 square feet. How can the length of one side of the floor be found? 62,5 2 62,5 62,5 2 62,5 2 Turn to page 24 in your answer booklet to complete question 16. S: 9PTRWM 76

11 MTHEMTIS 17. class of 29 ninth graders is going on a field trip. The field trip costs $19.95 per person. Mr. rubaker estimates the trip will cost $6. Which statement is true about Mr. rubaker s estimate? His estimate is greater than the actual cost by about $21. His estimate is less than the actual cost by about $21. His estimate is greater than the actual cost by about $1. His estimate is less than the actual cost by about $ Which operation should be performed first to evaluate the expression [12 5(4x) 2 ] 2? (4x) (4x) 2 (4x) Max bought a 1-page journal and writes 1 page per day. Pat bought a 2-page journal and writes 3 pages per day. The equation below can be solved to find the number of days (d) until they will have the same number of pages left in their journals. d 1 3d 2 In how many days (d) will Max and Pat have the same number of pages left in their journals? S: 9PTRWM 77

12 2. Fern has a pie in the shape of a circle. She divides it into 3 equal sections. What is the central angle measure of each section of Fern s pie? MTHEMTIS 21. Which expression shows another way to write (4 3 ) 3? The system of equations below shows the rental costs (y), in dollars, for renting a kayak x hours from two different rental companies. y =25x + 25 y =5x + 15 For what number of hours will the rental cost be the same for both companies? S: 9PTRWM 78

13 MTHEMTIS 23. t Thompson Pass, 12 inches of snow fell during a 16-hour period. t this rate how much snow would fall in 24 hours? 8 inches 18 inches 28 inches 32 inches 24. What kind of number results from simplifying 9ϖ 6ϖ? a whole number a repeating decimal a terminating decimal a non-repeating decimal that does not terminate S: 9PTRWM 79

14 MTHEMTIS 25. The diagram below represents the roof of a house. 3 meters height 3 meters 4 meters What is the height of the roof in meters? 2 meters 5 meters 7 meters 13 meters 26. The density () of an object can be calculated using the formula below, where m is the mass of the object and V is its volume. = m V Which shows this equation solved for m? m = + V m = V m = V m = V S: 9PTRWM 8

15 MTHEMTIS 27. The figure of a horse is 1 feet from the center of a merry-go-round. The figure of a lion is 2 feet from the center. What is the relationship between the distances the two figures travel during one revolution? The horse and lion travel the same distance. The horse travels twice as far as the lion. The lion travels twice as far as the horse. The lion travels 4 times as far as the horse. 28. The circle graph below shows the number of each colored candy in a bag. andies in a ag green 4 brown 11 blue 8 yellow 9 orange 1 red 8 Martin picks a candy out of the bag, records the color, and returns the candy to the bag. He does this 2 times. How many times should Martin expect to pick an orange candy? S: 9PTRWM 81

16 29. Rita bought yogurt in a cylinder-shaped container. The diameter of the container is 6 centimeters and the height is 5 centimeters. What is the volume of the yogurt container? (Use 3.14 for ϖ.) 94.2 cm cm cm cm 3 MTHEMTIS 3. The diagram below shows the streets from Joe s home to school. Joe s home 8 km lder Street Spruce Street Willow Street 6 km school Joe is going to bike to school along Spruce Street. What is the distance Joe will bike? 8 km 1 km 28 km 5 km S: 9PTRWM 82

17 MTHEMTIS 31. The table below shows information about invitations Terry sent to friends. Terry s Invitations Invitation olor Number Sent red 1 yellow 1 blue 15 green 15 What is the probability that a friend received a yellow invitation? rianna fixes snow machines. One day she spent 12 minutes on the first snow machine, 3 minutes on the second, and 15 minutes on the third. She estimates that it took her an average of 9 minutes to fix 1 snow machine. Which best describes rianna s estimate? It is an underestimate by more than 1 minutes. It is an underestimate by less than 1 minutes. It is an overestimate by less than 1 minutes. It is an overestimate by more than 1 minutes. S: 9PTRWM 83

18 MTHEMTIS 33. renda has two storage boxes with a combined volume of cubic feet. What is the combined volume in cubic feet? 12 cubic feet 16 cubic feet 32 cubic feet 64 cubic feet 34. In evaluating the expression ( ) 3 4, which shows the expression after the first step has been performed? (4 2) 3 4 ( ) 3 4 (32+8 8) 4 (32+8 2) 35. right angle is made where the top of a ladder meets the top of a slide as shown in the picture below. Slide? 5 m 13 m What is the length of the slide? 8 meters 8 meters 12 meters 194 meters S: 9PTRWM 84

19 36. Shannon read that the latest model of a car made in Europe travels at speeds up to 12 kilometers per hour. pproximately how many miles per hour is 12 kilometers per hour? MTHEMTIS 37. Rod made the scatter plot below to show the number of miles he flew in his plane and the number of gallons of gas he used during several trips. Gas (gallons) Rod s Trips istance (miles) ased on the information in the scatter plot, about how many gallons of gas can Rod expect to use for a 275-mile long trip? S: 9PTRWM 85

20 MTHEMTIS 38. Ronnie is trying to solve the equation below. x =81 What should Ronnie do first to find the value of x? divide 81 by 2 square 81 find the square root of 81 multiply 81 by The manager of a restaurant collected data on the number of servings of fish ordered during a week as shown in the table below. Fish Servings Ordered Which statement is true? Fish Servings salmon 86 halibut 72 trout 42 Halibut was served the most on Sunday. Salmon was ordered 4 more times than halibut. More than half of the fish ordered was salmon and halibut. bout twice as much trout was ordered as compared with salmon. S: 9PTRWM 86

21 MTHEMTIS 4. Two local bakeries have membership programs for customers to buy donuts at special rates. akery sells donuts for $.5 each and charges $1.25 for its membership card. akery sells donuts for $.25 each and charges $5. for its membership card. Which graph best represents the relationship between total membership cost and the number of donuts sold? ost of onuts (ollars) akery Sales Number of onuts Key akery akery akery Sales ]2 ]4 ] Number of onuts Key akery akery ost of onuts (ollars)1 ost of onuts (ollars) akery Sales ost of onuts (ollars) akery Sales Number of onuts Key akery akery Number of onuts Key akery akery S: 9PTRWM 87

22 MTHEMTIS 41. arl is driving a distance of 1,7 miles. His car travels 22 miles for every gallon of gas. He estimates that he will use 5 gallons of gas. Which statement about arl s estimate is true? His estimate is higher than the exact number by less than 1 gallons. His estimate is higher than the exact number by more than 1 gallons. His estimate is lower than the exact number by less than 1 gallons. His estimate is lower than the exact number by more than 1 gallons. 42. When full, Jerry s backpack weighs 12 kilograms. What is the approximate weight, in pounds, of the full backpack? Turn to page 26 in your answer booklet to complete question 43. S: 9PTRWM 88

23 44. Siberian husky sled team has a minimum dog weight requirement of 6 pounds and a minimum dog height requirement of 21 inches. The table below lists potential dogs for the sled team. Siberian Huskies og MTHEMTIS Height of og (inches) Weight of og (pounds) Finn Maura 2 58 Nadia Timber 2 63 Which dog meets the minimum requirements for the sled team? Finn Maura Nadia Timber S: 9PTRWM 89

24 MTHEMTIS 45. Winona has to paint the entire surface of the barrel shown below. 1 feet 15 feet What is the surface area of the barrel including the top and bottom? (Use 3.14 for.) 1,99 square feet 1,256 square feet 1,57 square feet 2,198 square feet 46. fish measures 22 inches in length. What is the length of the fish in centimeters? S: 9PTRWM 9

25 MTHEMTIS 47. Which expression shows the result of doubling ( )? 48. The graph below shows parallelogram TEM. y E T M x congruent parallelogram T 9E 9 9M 9has coordinates E 9({7, ), 9({3, ), and M 9({4, {3). What are the coordinates for point T 9? ({8, {3) ({7, {3) ({8, {2) ({7, {2) S: 9PTRWM 91

26 MTHEMTIS 49. dog weighs 36 pounds. Which expression represents the dog s weight in pounds? Henrietta is graphing a line. She graphed a point on the line, as shown below y x The slope of the line will be 2 3. Which point will also lie on the line? (7, 9) (8, 8) (7, 8) (8, 9) S: 9PTRWM 92

27 51. machine has a tolerance of.25 inch. What is the machine s tolerance, in inches, written in scientific notation?.l MTHEMTIS 52. Martha bought a bag of apples. She put 6% of the apples on the table. Her children ate 5% of the apples on the table. What percent of the bag of apples did the children eat? less than 5% exactly 5% between 5% and 6% more than 6% 53. parking lot is shaped like a square. The length of each side is 5 feet. What is the length of the diagonal of the parking lot? 1 feet 2 feet 5, feet 1, feet S: 9PTRWM 93

28 54. en types at a rate of 5 words per minute. He typed 4 pages with 25 words on each page without stopping. How many minutes did it take en to type the pages? , MTHEMTIS 55. ody graphed the results of the minutes she exercised versus her heart rate. Which scatter plot shows the line of best fit? Heart Rate Heart Rate Minutes Exercised Minutes Exercised Heart Rate Heart Rate Minutes Exercised Minutes Exercised S: 9PTRWM 94

29 MTHEMTIS 56. cone-shaped paper cup is 8 centimeters high and has a diameter of 6 centimeters. How many cubic centimeters of water will it hold when full? 8π 24π 72π 96π S: 9PTRWM 95

30 MTHEMTIS 57. Tia recorded the number of her friends who watched a movie or went camping each month during the summer. The table she made is shown below. Leisure Time ctivities June July ugust movies camping What graph shows the data Tia recorded? Number of Participants Leisure Time ctivities June July ugust Month Number of Participants Leisure Time ctivities June July ugust Month Key movies camping Key movies camping Number of Participants Leisure Time ctivities June July ugust Month Number of Participants Leisure Time ctivities June July ugust Month Key movies camping Key movies camping S: 9PTRWM 96

31 58. Greg is traveling from nchorage to Eagle River, a distance of 1 miles. bout how many kilometers does Greg have to travel? MTHEMTIS Turn to page 28 in your answer booklet to complete question 59. EN SESSION S: 9PTRWM 97