Mathematics Test

Transcription

Mathematics TestBook 1Grade8May 5–7, 201021656

Developed and published by CTB/McGraw-Hill LLC, a subsidiary of The McGraw-Hill Companies, Inc., 20 Ryan Ranch Road, Monterey, California 93940-5703.Copyright 2010 by the New York State Education Department. All rights reserved. No part of this publication may be reproduced or distributed in any form orby any means, or stored in a database or retrieval system, without the prior written permission of the New York State Education Department.

Book 1Tips for taking the testHere are some suggestions to help you do your best: Be sure to read carefully all the directions in the test book. Read each question carefully and think about the answer before choosingyour response.This picture means that you will use your ruler.Secure materialDo not reproduce. Do not discuss contentsuntil end of designated makeup schedule.Book 1Page

Sample AWhat is the shape of each base of a cylinder?AcircleBrectangleCtriangleDsquareSample BUse your ruler to help you solve this problem.What is the area, in square centimeters, of the rectangle shown below?A15B17C30D34STOPSecure materialDo not reproduce. Do not discuss contentsuntil end of designated makeup schedule.Book 1Page

1Simplify the expression below.12ab 8ab 5ab3ab25ab25(3ab)25 1 ab2gggIn the diagram below, AB CD , and EF intersects both lines.EyA30 CBDF[not drawn to scale]What is the measure of y ?30º60º120º150ºGo OnSecure materialDo not reproduce. Do not discuss contentsuntil end of designated makeup schedule.Book 1Page

3Which situation is best represented by the expression 2c 2 5 ?Alicia walked 2 miles fewer than 5 times the number of miles, c, Courtney walked.Alicia walked 5 miles fewer than 2 times the number of miles, c, Courtney walked.Alicia walked 2 more than 5 times the number of miles, c, Courtney walked.Alicia walked 5 more than 2 times the number of miles, c, Courtney walked.4In the diagram below, line segment l and line segment m intersect at the center of thecircle. What is the measure of x ?lmx47 [not drawn to scale]120 133 137 143 Page Book 1Secure materialDo not reproduce. Do not discuss contentsuntil end of designated makeup schedule.

5In Mr. Jenkin’s science class, the students heated a beaker of water on aburner. When the experiment began, the temperature of the water was 20 C.After 8 minutes, the temperature was 60 C. Sixteen minutes after the startof the experiment, the temperature was 100 C and remained at 100 C forthe next 8 minutes.Which graph shows the change in temperature of the water in the beaker, y,over time in minutes, x ?HEATINGWATERHEATINGWATERy120Temperature(in C)Temperature(in C)y804008 16 24xTime (in re(in C)Temperature(in C)12080408 16 24xTime (in minutes)y08 16 24x120804008 16 24xTime (in minutes)Time (in minutes)Go OnSecure materialDo not reproduce. Do not discuss contentsuntil end of designated makeup schedule.Book 1Page

6Which term best describes AC in the right triangle shown below?ABClegbasealtitudehypotenuse7What is the measure of x in the diagram shown below?67 x[not drawn to scale]23 33 113 157 Page Book 1Secure materialDo not reproduce. Do not discuss contentsuntil end of designated makeup schedule.

8Mr. Sanders used a diagonal board to divide a rectangular garden into two equalsections as shown in the diagram below.5m12 m[not drawn to scale]What is the length of the diagonal?c 2 a2 b212 meters13 meters14 meters15 meters9Solve the equation below for x.9(x 2 5) 5 4x 2 5810–8–10Go OnSecure materialDo not reproduce. Do not discuss contentsuntil end of designated makeup schedule.Book 1Page

10If P 5 a2 1 a 2 1 and R 5 –a 2 1, which expression represents P R ?a2 1 2a2 2 2a2 1 2aa2 2a 211ggIn the diagram below, EF GH , and line k intersects both lines.k40 EFzGH[not drawn to scale]What is the measure of z ?40º50º130º140ºPage10Book 1Secure materialDo not reproduce. Do not discuss contentsuntil end of designated makeup schedule.

12Which term best describes the transformation shown below?y654321–6 –5 –4 –3 –2 –1 flectiontranslation13Jerome surveyed 643 skateboarders and found that 209 of them preferred woodskateboards to plastic or aluminum skateboards. Based on the number of peoplesurveyed, what is the most reasonable estimation of the percent of skateboarderswho preferred wood skateboards?10%30%40%50%Go OnSecure materialDo not reproduce. Do not discuss contentsuntil end of designated makeup schedule.Book 1Page11

14In the diagram below, line x is parallel to line y, and line z is a transversal.xy1 28 73 46 5z[not drawn to scale]Which angles are alternate interior angles? 1 and 7 3 and 7 2 and 3 4 and 815Kevin reflects square ABCD on a coordinate plane over the y-axis to createimage A’B’C’D’. Which property changed when he created image A’B’C’D’?the measure of ABCthe area of square ABCDthe position of figure ABCDthe perimeter of square ABCDPage12Book 1Secure materialDo not reproduce. Do not discuss contentsuntil end of designated makeup schedule.

16In the diagram below, line l and line m are parallel.(3x 21) (6x 15) lm[not drawn to scale]Which equation could be used to solve for x ?6x 3x 15 216x 15 3x 216x 15 3x 21 906x 15 3x 21 18017Simplify the expression below.(x2y3)(x4y2)x6y5x8y62x8y62x6y5Go OnSecure materialDo not reproduce. Do not discuss contentsuntil end of designated makeup schedule.Book 1Page13

18Use your ruler to help you solve this problem.Sonia draws a line between Los Angeles and San Diego on the map below to find theshortest distance between the two cities.SCALE1 inch 50 milesLos AngelesSan DiegoBased on the scale, what is the distance, in miles, between the two cities?2550100150Page14Book 1Secure materialDo not reproduce. Do not discuss contentsuntil end of designated makeup schedule.

19Which expression is a trinomial?4x37x 1 123x3 3x25x3 3x2 1120ggIn the diagram below, AB intersects DC at point P.AD100 PCB[not drawn to scale]What is the measure of CPB in the figure?80 90 100 105 Go OnSecure materialDo not reproduce. Do not discuss contentsuntil end of designated makeup schedule.Book 1Page15

21Which is the name of the expression shown below?2x2y 5x 3termequationcoefficientpolynomial22What is the greatest common factor (GCF) of 12x and (3x2 1 6x) ?33xx 23x(x 2)23The distance between two cities on a map is 2 inches. The map was drawnusing the scale shown below.1 inch 5 344 milesWhat is the actual distance, in miles, between the two cities?863446881,032Page16Book 1Secure materialDo not reproduce. Do not discuss contentsuntil end of designated makeup schedule.

24Tony joined a book club. He received 8 free books when he joined. The table below showsthe total number of books, n, he had each month, t, since joining the club.TONY’S BOOKSMonth (t)Total Numberof Books (n)08111214317420Which equation can be used to find the total number of books, n, Tony will have fromthe book club after t months?n 5 8tn 5 3tn 5 8t 1 3n 5 3t 1 825Which inequality represents the statement below?One more than 2 times n is greater than 21.2n 21n 3 212n 21 12n 1 21Go OnSecure materialDo not reproduce. Do not discuss contentsuntil end of designated makeup schedule.Book 1Page17

26Simplify the expression below.4x 3 8x 2 10x2x2x2 4x 52x2 4x 108x3 4x2 58x4 16x3 10x227Sarah went on a one-day bus tour from Las Vegas to the Grand Canyon.The cost of the bus ticket was 80. She also paid 15% of the cost of the ticketas a tip to the bus driver. What was the amount of the tip that Sarah paid thebus driver? 5 12 15 19STOPPage18Book 1Secure materialDo not reproduce. Do not discuss contentsuntil end of designated makeup schedule.

Grade 8Mathematics TestBook 1May 5–7, 2010

May 05, 2010 · until end of designated makeup schedule. Book 1 T ips for taking the test Here are some suggestions to help you do your best: Be sure to read carefully all the directions in the test book. Read each question carefully and think about the answer before choosing your r