RELEASED. North Carolina READY End-of-Grade Assessment Mathematics. Grade 8. Student Booklet

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1 REVISED 7/4/205 Released Form North Carolina READY End-of-Grade Assessment Mathematics Grade 8 Student Booklet Academic Services and Instructional Support Division of Accountabilit Services Copright 203 b the North Carolina Department of Public Instruction. All rights reserved.

2 Sample Questions S Kerr walks 3 miles each da. How far will she walk in 7 das? A B 0 miles 4 miles S2 S3 C 2 miles D 24 miles What number is represented b point P on the number line below? P What fraction of the circle is shaded?

3 The area of the surface of the Atlantic Ocean is approximatel 3,830,000 square miles. How is this area written in scientific notation? A B C D

4 2 In which graph do all of the plotted points lie on the line = x + 2? A B C x x D x x

5 3 Which choice is a correct equation for the line graphed below? A = 3x + B = 2x + C D = x + 2 = x Which function is nonlinear? x A = 3x + 2 B = x C = 2 x( x 4) D 2 = x 7 4

6 5 In which choice do all the points lie on the same line? A ( 0, 2 ), (, ), ( 2, 2 ), ( 3, 7) B ( 0, 0 ), (, ), ( 2, 4 ), ( 3, 9 ) C ( 0, 0 ), (, ), ( 2, 8 ), ( 3, 27 ) D ( 0, 0 ), (, 2 ), ( 2, 4 ), ( 3, 6 ) 5

7 6 Sharon made a scatterplot comparing the shoulder heights of dogs to their weights. Sharon s dog has a shoulder height of 28 inches. Using a linear model, which is the best prediction of her dog s weight? A B C D Weight (pounds) pounds 90 pounds 05 pounds 20 pounds Height (inches) 6

8 Questions 7 through 5 require ou to write our answers in the boxes provided on our answer sheet. Write onl one number or smbol in each box and fill in the circle in each column that matches what ou have printed. Fill in onl one circle in each column. 7 What is the value of 0.36? 2 8 What is the sum of all the integers between 9 and 77? 9 On a number line, let point P represent the largest integer value that is less than 407. Let point Q represent the largest integer value that is less than 68. What is the distance between P and Q? 7

9 0 What is the value of ? When 8 is added to the number that is produced b doubling the number x, the result is equal to 8 times the number that is 5 less than x. What is the value of x? 2 In WXY, WY is congruent to XY. The perimeter of WXY is 76 inches. W How man inches long is WX? m Y 3 m 4 X 8

10 3 Kle is a salesman. His monthl earnings include a fixed monthl salar and a commission that is a fixed percentage of his total sales for the month. Kle s total sales for the month of Januar were $5,000, and his total earnings for that month were $2,550. Kle s total sales for the month of Februar were $25,000, and his total earnings for that month were $3,050. What is Kle s fixed monthl salar in dollars? 4 In the table below, is a linear function of x. What is the value of when x = 0? x

11 5 Beginning in 2000, a sports team increased its ticket price b a constant amount each ear until 200. A ticket cost $48 in A ticket cost $55.50 in How much did a ticket cost in 2000? Express the answer as dollars.cents. 0

12 This is the end of the calculator inactive test questions. Directions:. Look back over our answers for the calculator inactive questions. You will not be able to go back and work on these questions once ou are given a calculator. 2. Raise our hand to let our teacher know ou are read to begin the calculator active test questions. 3. Do not begin work on the calculator active test questions until our teacher has given ou a calculator.

13 6 Suppose that a scientist estimates that ever square mile of the ocean contains an average of pieces of trash. The area of the Earth s surface that is covered b oceans is approximatel square miles. Using the estimate, how man pieces of trash are in the Earth s oceans? A B C D

14 7 On Monda, Mr. James made an eight-hour trip to his mother s house in his car. The graph below shows the distance he had traveled at different times. On Tuesda, he drove home. His speed on Tuesda was 5 miles per hour faster than for the trip on Monda. Which equation would model the distance, d, that Mr. James had traveled on his return trip after t hours? A B C d = 45t d = 50t d = 55t Distance (miles) x Time (hours) D d = 60t 3

15 8 What value of x satisfies the equation 4x 2 3 = 6? A B 6 2 C 0 D 4 9 A compan charges $2.25 for 5 trees and 5 shrubs. The compan charges $5.25 more for a tree than a shrub. How much does each shrub cost? A $6.75 B $7.75 C $9.25 D $

16 20 Two stores sell cherries at different prices per pound. Store P sells 3.5 pounds of cherries for $3.30. The graph below shows the cost to purchase different weights of cherries at Store Q. Cost (dollars) Weight (pounds) Phillip needs to purchase 0 pounds of cherries. Which statement below is true? A Phillip will spend $8.00 less on cherries at Store P than at Store Q. B Phillip will spend $8.00 more on cherries at Store P than at Store Q. C Phillip will spend $6.00 less on cherries at Store P than at Store Q. D Phillip will spend $6.00 more on cherries at Store P than at Store Q. 5

17 2 Limousine Compan P and Compan R both charge a rental fee plus an additional charge per hour. The equation = x models the total cost (in dollars),, of renting a limousine from Compan P for x hours. The table below shows the cost to rent a limousine from Compan R for different lengths of time. Compan R Time (hours) Total Cost $00 $25 $50 $75 $200 Which statement accuratel compares the per hour charges of the two companies? A Compan P charges $5 less per hour than Compan R. B Compan P charges $5 more per hour than Compan R. C Compan P charges $25 less per hour than Compan R. D Compan P charges $25 more per hour than Compan R. 6

18 22 In which function table do all of the points (x, ) lie on the line that has a slope of 3 and a -intercept of 2? A B x x C D x x

19 23 Mr. Jones filled his swimming pool with water. Mr. Jones began filling the pool at a constant rate. He turned off the water for a while. He then turned the water back on at a slower constant rate. Mr. Jones turned off the water again for a while. He then turned the water back on at the first rate. Which graph best represents Mr. Jones filling the pool? A B Gallons Time Time C D Gallons Time Gallons Gallons Time 8

20 24 XYZ will be translated so that the coordinates of X are ( 5, ) What will be the coordinates of Z? A ( 5, 8 ) B ( 6, 7 ) C ( 7, 6 ) X Z Y x D ( 8, 5 ) 9

21 25 Kim made soup which contains 75 total ounces of beans. The soup has two kinds of beans, black and red. There are 4 times as man ounces of black beans as red beans. How man ounces of red beans are in the soup? A 5 B 2 C 5 D 9 20

22 26 The figure below shows a square inscribed in a circle. The area of the shaded region is 2.5 square units. s What is the approximate area of the circle? A 3. square units B 4.7 square units C 6.3 square units D 7.9 square units r 2

23 27 Quadrilateral PQRS is graphed in the coordinate plane. P Q To the nearest tenth, what is the perimeter of quadrilateral PQRS? A 33.0 units B 33.7 units C D 37.6 units 48.0 units S A clinder is 20 inches long and has a diameter of 0 inches. What is the approximate volume of the clinder? R x A B C D 200 cubic inches 630 cubic inches,570 cubic inches 6,280 cubic inches 22

24 29 The table below displas the number of DVDs sold and rented at a store for 5 weeks. Week DVDs Sold DVDs Rented Which describes the association between the number of DVDs sold and the number of DVDs rented? A B C D no association weak association negative association positive association 23

25 30 What is the area of the triangle shown below? 3 m 5 m A B C D 4 square meters 6 square meters 2 square meters 5 square meters 24

26 3 The table shows the air temperatures at different elevations. Elevation (feet) Temperature ( F) Which line best fits this set of data? A B C D 25 = x + 25 = x 25 = x + 25 = x

27 32 Mar collected data each da on how man commercials she saw and how long she watched TV. She displaed her data in a scatterplot. 20 Television Commercials According to the trend line shown in the scatterplot, about how man commercials will Mar see if she watches TV for hours? 2 A 9 B 27 C 39 D 90 Total Number of Commercials Time (in minutes) 26

28 33 Alicia and Melissa did jumping jacks. The table below shows the number of jumping jacks that Alicia had done in different amounts of time. Alicia Time (minutes) Jumping Jacks The graph below shows the number of jumping jacks Melissa had done in different amounts of time. Which choice best describes the difference between the rates at which the girls did jumping jacks? A B Number of Jumping Jacks Melissa Time (minutes) Melissa did 6 more jumping jacks per minute than Alicia. Alicia did 6 more jumping jacks per minute than Melissa. x C D Melissa did 5 more jumping jacks per minute than Alicia. Alicia did 5 more jumping jacks per minute than Melissa. 27

29 34 A town s buildings were graphed on a coordinate grid. +0 Fire Station +9 Post Office Town Hall Which equation would represent a line drawn to connect the Town Hall and Post Office? A 2 28 x 3 3 = Librar x B 53 x 8 8 = + C 3 5 = x + 9 D 59 x 8 3 = + 28

30 35 Rain is flowing into two containers at different rates. The figure below shows the volume of water in each container at different times. What is the difference in the rate of change between the two containers? A B C D Gallons gallon per minute gallon per minute Minutes gallons per minute gallons per minute Container Container 2 x Minutes Gallons

31 36 A sstem of equations is shown below. 2x + 4 = 0 = x 3 2 What is the x-value in the solution to the sstem of equations? A 3 B.5 C.5 D 3 30

32 37 In which table is a function of x? A B x x C D x x

33 38 Which function has a greater rate of change than the function that passes through the points given in the table below? A 3x 5 = 25 B 7 3x = 4 C = + D = + 2 x 4 x x

34 39 Larr started riding his bike at a rapid pace. He got tired and stopped to rest. When he started again, he was going at a slower rate. Which graph best shows Larr s trip? A B C Total Distance Total Distance Time D Total Distance Total Distance Time Time Time 33

35 40 Alice compared the graphs of two functions. The first function was = 3x + 4. The second function fits the values in the table below. x What is the distance between the -intercepts of the two functions? A B 2 C 3 D 4 34

36 4 Rectangle WXYZ will be dilated b a scale factor of, creating rectangle W X Y Z What will be the perimeter of rectangle W X Y Z? A 4 units B 6 units C D 2 units 24 units + 2 W Z X Y x 35

37 42 Lines l and m are parallel to one another and cut b transversals s and t. x l s t What is the value of x? A 40 B 80 C 20 D m 36

38 43 Moll wants to put a fence around an area. The fence will follow the diagram of the triangle shown below. 0 ft About how much fencing does Moll need? A 28 ft B 38 ft C 43 ft D 49 ft 44 The points ( 3, ) and ( 3, 5) are adjacent vertices of a rectangle. Two of the sides of the rectangle have a length of 8 units. What is the length of a diagonal of the rectangle? 8 ft A B C D 9 units 0 units 2 units 4 units 37

39 45 What is the approximate volume of the cone below? 7 cm A 70 cm 3 B 83 cm 3 C 549 cm 3 D 733 cm 3 46 The measures of the angles of a triangle are 50, 35, and 95. What is the measure of the largest exterior angle of the triangle? A 85 B 30 C 45 D 50 0 cm 38

40 47 Which scenario would most likel show a negative association between the variables? A B C D the height of a tree, x, and the amount of time it takes to climb to the top of the tree, the number of people in the mall, x, and the number of cars in the parking lot, miles traveled in a car, x, and the amount of gasoline used, time spent reading a book, x, and the number of pages left to read, 39

41 48 James is fitting the linear equation = x to a data set. Which scatterplot shows 2 the data set that the linear equation would fit best? A B 2 2 C D

42 49 Students were surveed about book bags. The results are shown below. Male Female Carr a Book Bag Do Not Carr a Book Bag A student concluded that, for those in the surve, females are more likel to carr a book bag than males. Which explanation best supports the student s conclusion? A B C D For females, 54% carr a book bag, while for males, 43% carr a book bag. For females, 27% carr a book bag, while for males, 22% carr a book bag. For females, 57 carr a book bag, while for males, 47 carr a book bag. For females, 48 do not carr a book bag, while for males, 63 do not. 4

43 50 Which equation best fits the data shown in the scatterplot below? A = x x B x 2 2 = C 3 4 = x 2 D = x 3 42

44 Directions: This is the end of the mathematics test.. Put all of our papers inside our test book and close our test book. 2. Place our calculator on top of the test book. 3. Sta quietl in our seat until our teacher tells ou that testing is finished. 43

45 G R AD E 8 M AT H R ELE A S ED F OR M Grade 8 Math Form Answer Ke Item Number Tpe Ke Domain S MC C S2 GR -7 3 S2 GR or.75 4 Calculator Inactive Item Number Tpe Ke Domain MC D CCSS.MATH.CONTENT.8.EE.A.3 2 MC B CCSS.MATH.CONTENT.8.EE.B.6 3 MC A CCSS.MATH.CONTENT.8.EE.B.6 4 MC C CCSS.MATH.CONTENT.8.F.A.3 5 MC D CCSS.MATH.CONTENT.8.F.A.3 6 MC C CCSS.MATH.CONTENT.8.SP.A.3 7 GR 2 CCSS.MATH.CONTENT.8.NS.A. 8 GR 26 CCSS.MATH.CONTENT.8.NS.A.2 9 GR 29 CCSS.MATH.CONTENT.8.NS.A.2 0 GR.325 CCSS.MATH.CONTENT.8.EE.A. GR 8 CCSS.MATH.CONTENT.8.EE.C.7.B 2 GR 2 CCSS.MATH.CONTENT.8.EE.C.7.B 3 GR 800 CCSS.MATH.CONTENT.8.F.B.4 4 GR 7 CCSS.MATH.CONTENT.8.F.B.4 5 GR 35.5 CCSS.MATH.CONTENT.8.F.B.4

46 G R AD E 8 M AT H R ELE A S ED F OR M Calculator Active Item Number Tpe Ke Domain 6 MC A CCSS.MATH.CONTENT.8.EE.B.4 7 MC C CCSS.MATH.CONTENT.8.EE.B.5 8 MC D CCSS.MATH.CONTENT.8.EE.C.7.B 9 MC A CCSS.MATH.CONTENT.8.EE.C.8.C 20 MC D CCSS.MATH.CONTENT.8.EE.B.5 2 MC B CCSS.MATH.CONTENT.8.F.A.2 22 MC A CCSS.MATH.CONTENT.8.F.B.4 23 MC A CCSS.MATH.CONTENT.8.F.B.5 24 MC B CCSS.MATH.CONTENT.8.G.A.3 25 MC C CCSS.MATH.CONTENT.8.EE.C.8.C 26 MC C CCSS.MATH.CONTENT.8.G.B.7 27 MC B CCSS.MATH.CONTENT.8.G.B.8 28 MC C CCSS.MATH.CONTENT.8.G.C.9 29 MC D CCSS.MATH.CONTENT.8.SP.A. 30 MC B CCSS.MATH.CONTENT.8.G.B.7 3 MC A CCSS.MATH.CONTENT.8.SP.A.2 32 MC B CCSS.MATH.CONTENT.8.SP.A.3 33 MC D CCSS.MATH.CONTENT.8.EE.B.5 34 MC B CCSS.MATH.CONTENT.8.EE.B.6 35 MC A CCSS.MATH.CONTENT.8.EE.B.5 36 MC D CCSS.MATH.CONTENT.8.EE.C.8.B 37 MC C CCSS.MATH.CONTENT.8.F.A.

47 G R AD E 8 M AT H R ELE A S ED F OR M Item Number Tpe Ke Domain 38 MC A CCSS.MATH.CONTENT.8.F.A.2 39 MC A CCSS.MATH.CONTENT.8.F.B.5 40 MC C CCSS.MATH.CONTENT.8.F.A.2 4 MC B CCSS.MATH.CONTENT.8.G.A.3 42 MC C CCSS.MATH.CONTENT.8.G.A.5 43 MC C CCSS.MATH.CONTENT.8.G.B.7 44 MC B CCSS.MATH.CONTENT.8.G.B.8 45 MC B CCSS.MATH.CONTENT.8.G.C.9 46 MC C CCSS.MATH.CONTENT.8.G.A.5 47 MC D CCSS.MATH.CONTENT.8.SP.A. 48 MC D CCSS.MATH.CONTENT.8.SP.A.2 49 MC A CCSS.MATH.CONTENT.8.SP.A.4 50 MC C CCSS.MATH.CONTENT.8.SP.A.2 Item Tpes: MC = multiple choice GR = gridded response Links to instructions for the gridded-response items can be found on the main accountabilit page.

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