Franklin County School District North Carolina Published by TE21, Inc. December 2015

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Student Name: 2015-2016 8 th Grade Math 2 nd enchmark Franklin ounty School istrict North arolina Published by TE21, Inc.

1 Student Name: th Grade Math 2 nd enchmark Franklin ounty School istrict North arolina Published by TE21, Inc. ecember 2015 LL RIGHTS RESERVE This publication cannot be shared, duplicated, used for review or any other form of instruction, or reproduced in part or in whole without written permission of TE21, Inc.

3 LULTOR INTIVE The items in this test are based on the ommon ore State Standards for Mathematics. IRETIONS FOR THE LULTOR INTIVE SETION OF THE TEST: alculators may not be used during this test. Read each problem carefully. hoose the best answer from the choices given. Fractions in some answer choices may have been simplified. heck each answer choice to see if this has been done. iagrams used in the test may not be drawn to scale. Stop when you see the words STOP. EN OF LULTOR INTIVE SETION. When you have completed the calculator inactive questions, read and follow the directions at the end of this section of the test. Page 1

4 1. function is graphed on the coordinate grid shown. What is the best approximation for the output of this function for an input of -2? onsider the function graphed on the coordinate plane. For which interval is the function increasing? 4 x < 5 1 x < 3-2 x < -1-5 x < -4 Page 2

3. onsider the system of equations. What is the solution to the given system of equations? (11, 2) (7, 2 3 ) (3, - 2 5 ) (2, -1) 4.

5 3. onsider the system of equations. What is the solution to the given system of equations? (11, 2) (7, 2 3 ) (3, ) (2, -1) 4. onsider the triangles, all of which are right triangles that have one vertical leg and one horizontal leg. Which triangles have hypotenuses that can be arranged on a single straight line and therefore represent similar right triangles? Triangle 1, Triangle 2, Triangle 3, Triangle 4, and Triangle 6 Triangle 1, Triangle 4, and Triangle 5 Triangle 2 and Triangle 6 Triangle 3 and Triangle 5 Page 3

$Write only the number or symbol in each box, and fill in the circle in each column that matches what you have printed. Fill in only 1 circle in each column. 1. What fraction represents 0.88?$

6 IRETIONS FOR THE GRIE RESPONSE SETION OF THE TEST: Questions 1 through 7 require you to write your answers in the boxes provided on the back of your answer document. Write only the number or symbol in each box, and fill in the circle in each column that matches what you have printed. Fill in only 1 circle in each column. 1. What fraction represents 0.88? (Write the answer as a fraction in lowest terms.) 2. ustin graphed a system of linear equations as shown. What x -value represents the solution to the given system of linear equations? Page 4

7 3. What value is equivalent to ( ) 3? (Write the answer as a fraction in lowest terms.) 4. onsider the expression shown. If the expression is simplified and the answer is written in scientific notation as x, what is the value of x? 5. Hatice correctly solved the system of equations shown in the box. What is the y -value of the solution? Page 5

8 6. line with a slope of value of k? passes through the points (3, -1) and (2, k ). What is the (Write the answer as an improper fraction in lowest terms.) 7. When Joseph divides 2 by 11, he realizes that the decimal repeats. How many decimal digits make up the repeating string? Page 6

9 EN OF LULTOR INTIVE SETION IRETIONS: Look back over your answers for the calculator inactive questions. You will not be able to go back and work on these questions once you are given a calculator. Raise your hand to let your teacher know you are ready to begin the calculator active questions. o not begin work on the calculator active test questions until your teacher has given you a calculator. Turn your answer document over to the multiple choice side. When your teacher has given you a calculator, GO TO THE NEXT PGE, and EGIN the calculator active questions. Page 7

10 5. Tylee correctly solved the equation shown in the box. Which value is the solution? x = 2 5 x = 5 2 x = x = Francis is a baker who sells bread and falafels. His loaves of bread sell for $2.40 each. He sells a customer 3 falafels for $7.05 and a different customer 5 falafels for $ Which is cheaper, 1 loaf of bread or 1 falafel, and how much does it cost? One falafel is cheaper and costs $2.40 each. One falafel is cheaper and costs $2.35 each. One loaf of bread is cheaper and costs $2.40 each. One loaf of bread is cheaper and costs $2.35 each. 7. The thickness of a dime is approximately 300,000 times larger than the thickness of a grain of pollen. What is the most reasonable measure for the thickness of a grain of pollen? meter meter meters meters Page 8

11 8. onsider the set of ordered pairs of the relation shown. {(-2, -2), (-1.5, 3.5), (2, 3), (4, 1), (4, 3)} Removing which ordered pair will make the relation a function? (4, 3) (2, 3) (-1.5, 3.5) (-2, -2) 9. amilla and raig both work as line cooks at different seafood restaurants. amilla earns $13 for every 200 crab cakes she makes. raig keeps track of his earnings and records them in the given table. Which line cook earns more for every crab cake made, and how much does he or she earn per crab cake? amilla earns more per crab cake at $1.30 per crab cake. raig earns more per crab cake at $0.65 per crab cake. raig and amilla earn the same amount of money per crab cake. The amount per crab cake cannot be determined with the given information. 10. onsider the system of equations shown in the box. Which coordinate point represents the solution of the system? (-5, -14) (1, -4) (2, 3) (3, 10) Page 9

12 11. onsider the table shown. x y Which equation models the relation between x and y? y = -8x + 5 x = -8y + 5 4y = -5x + 5 5y = -3x onsider the two functions shown. Function 1 Function 2 y = 4x 3 x y Which statement is true about the rate of change of the two functions? oth functions have negative rates of change. oth functions have positive rates of change. Function 1 has a negative rate of change, while that of Function 2 is positive. Function 1 has a positive rate of change, while that of Function 2 is negative. 13. Which equation has exactly one solution? x 1 = 3 + x 2x = 4x (2x + 3) 4x + x = x 5x x = 4x Page 10

13 14. Jaime plans to visit a zoo which is 75 miles from his home. He leaves for the zoo and drives at a speed of 35 miles per hour for one hour. Jaime halts at a gas station for 15 minutes and then drives at the speed of 40 miles per hour for the next hour and reaches the zoo. Which graph correctly represents Jaime s trip to reach the zoo? 15. Johanna calculated the length of a support wire to be 6666 feet long. Which is the best method to approximate the value of 6666? Page 11 Find the quotient of 60 and 2. The approximation of 60 is 60 divided by 2. Square 60 and divide the result by 2. The approximation of 60 is 60 2 divided by 2. Find two consecutive whole numbers with squares that are greater than and less than 60, respectively. The approximation of 60 is between these numbers. Find two consecutive whole numbers which are greater than and less than 60. Square them and average the result. The approximation of 60 is between the square of these numbers.

14 16. What is the equation of a line that passes through points K (3, 5) and L (9, 3)? y = 1 3 x + 6 y = 1 3 x 6 y = x 6 y = x Roberta is 20 years older than Julian. In 4 years, Roberta s age will be twice Julian s age. What is Julian s present age? 8 years old 12 years old 16 years old 20 years old 18. The table shows a relation between x and y. Is the relation a function, and why? x y Yes. ll outputs are positive. No. One input yields multiple outputs. No. Multiple inputs yield the same output. Yes. Each output is different from the input. Page 12

15 19. weather station recorded the variation in temperature during a 20-hour time frame. The findings are shown in the graph. Which statement best interprets the information provided by the graph? The temperature rises at a constant rate for the entire time frame. The temperature rises at a constant rate between the hours 00:00 and 08:00. The temperature falls at a faster rate between the hours 16:00 and 20:00 than the rate at which it falls between the hours 00:00 and 04:00. The temperature rises at a faster rate between the hours 08:00 and 12:00 than the rate at which it rises between the hours 04:00 and 08: The table of values shown represents a linear function. Which linear function does not have the same x -intercept as the linear function shown in the table? y = 2x 0.75 y = 3x 1.5 y = 4x 2 y = 5x 2.5 Page 13

16 21. Two functions are as shown. Which statement is true about the functions f (x ) and g (x )? f (x ) is linear; there is a constant rate of change. g (x ) is linear; there is a constant rate of change. f (x ) is nonlinear; there is a constant rate of change. g (x ) is nonlinear; there is a constant rate of change. 22. linear function is given in the box. Which point lies on this line? (-2, -9) (-1, -6) (0, 0) (2, 5) Page 14

17 23. Katy and Ramir are both driving their cars at constant rates from Santa ruz to Sacramento for a family party. The graph shows the relation between the distances covered by Katy s car over different intervals of time. The equation y = 37.5x represents the distance, y miles, Ramir s car covers in x hours. What is the ratio of the distances Katy and Ramir each cover over 3 hours? 1:1 3:1 4:3 16:3 24. It costs $24 for two adults and two children to see a movie, and it costs the same amount for one adult and four children to see the same movie. Which statement is true? It costs $6 for one child to see the movie. It costs $8 for one adult to see the movie. It costs $10 for two children to see the movie. It costs $18 for two adults to see the movie. Page 15

18 25. horse trainer compares the speeds of five race horses based on their times running furlongs (approximately 200 meters). Fleety can run 0.06 furlong per second. Hasty s speed is given by the equation d = 0.08t, where d is in furlongs, and t is in seconds. 77 Swift s speed is given by the equation d = t, where d is in furlongs, and t is in seconds. elerity s and lacrity s times are represented in the graphs shown. Which two horses have the same speeds? lacrity and Swift Fleety and elerity Hasty and lacrity Swift and elerity Page 16

19 26. Jarell s math teacher drew the line shown in the figure. Which statement regarding the line is correct? The x -intercept of the line is a. The y -intercept of the line is -b. The slope of the line is cc bb. cc aa The equation of the line is y = x + a. bb 27. linear function includes the points (2, 3) and (6, 8). What is the rate of change of the linear function? Page 17

20 28. Two functions p (x ) and q (x ) are as shown. x p (x ) x q (x ) Which statement is true? oth p (x ) and q (x ) are linear. oth p (x ) and q (x ) are nonlinear. The function p (x ) is linear, but q (x ) is nonlinear. The function p (x ) is nonlinear, but q (x ) is linear. EN OF MTH TEST IRETIONS: Put all your papers inside your test booklet, and close your test booklet. Place your calculator on top of the test booklet. Stay quietly in your seat until your teacher tells you that testing has finished. Page 18

Grade 7 Mathematics Test Booklet

Grade 7 Mathematics Test Booklet Student Name P Grade Test Booklet Practice Test TEST BOOKLET SECURITY BARCODE Unit 1 Unit 1 Directions: Today, you will take Unit 1 of the Grade Practice Test. Unit 1 has two sections. In the first section,