mathematics test - regents examinations · mathematics test book 3 8 21658 may_5–7,_2010_...
TRANSCRIPT
![Page 1: Mathematics Test - Regents Examinations · Mathematics Test Book 3 8 21658 May_5–7,_2010_ Developed and published by CTB/McGraw-Hill LLC, a subsidiary of The McGraw-Hill Companies,](https://reader030.vdocuments.mx/reader030/viewer/2022040115/5e6d7f9582d091386816aee7/html5/thumbnails/1.jpg)
Grade
Name___________________________________
Mathematics TestBook 3
821658
May_5–7,_2010_
![Page 2: Mathematics Test - Regents Examinations · Mathematics Test Book 3 8 21658 May_5–7,_2010_ Developed and published by CTB/McGraw-Hill LLC, a subsidiary of The McGraw-Hill Companies,](https://reader030.vdocuments.mx/reader030/viewer/2022040115/5e6d7f9582d091386816aee7/html5/thumbnails/2.jpg)
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 or by any means, or stored in a database or retrieval system, without the prior written permission of the New York State Education Department.
![Page 3: Mathematics Test - Regents Examinations · Mathematics Test Book 3 8 21658 May_5–7,_2010_ Developed and published by CTB/McGraw-Hill LLC, a subsidiary of The McGraw-Hill Companies,](https://reader030.vdocuments.mx/reader030/viewer/2022040115/5e6d7f9582d091386816aee7/html5/thumbnails/3.jpg)
Page �Book 3 Secure material
Do not reproduce. Do not discuss contents until end of designated makeup schedule.
Book 3
Tips 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 writing your response.
• Be sure to show your work when asked. You may receive partial credit if you have shown your work.
• Use your calculator to help you solve the problems on this part of the test.
This picture means that you will use your ruler.
Mathematics Reference Sheet
Pythagorean Theorema
b
c c 2 a2 b 2
Simple Interest I prt
Distance Formula d rt
Temperature Conversions
F 9 5C 32
C 59(F 2 32)
Measurement Conversions
1 mile 5,280 feet1 yard 3 feet
FORMULAS CONVERSIONS
![Page 4: Mathematics Test - Regents Examinations · Mathematics Test Book 3 8 21658 May_5–7,_2010_ Developed and published by CTB/McGraw-Hill LLC, a subsidiary of The McGraw-Hill Companies,](https://reader030.vdocuments.mx/reader030/viewer/2022040115/5e6d7f9582d091386816aee7/html5/thumbnails/4.jpg)
![Page 5: Mathematics Test - Regents Examinations · Mathematics Test Book 3 8 21658 May_5–7,_2010_ Developed and published by CTB/McGraw-Hill LLC, a subsidiary of The McGraw-Hill Companies,](https://reader030.vdocuments.mx/reader030/viewer/2022040115/5e6d7f9582d091386816aee7/html5/thumbnails/5.jpg)
Go On
Page �Book 3 Secure material
Do not reproduce. Do not discuss contents until end of designated makeup schedule.
�4 Solve the equation below for x.
20x � 5x � 20 � 21x � 4
Show your work.
Answer x
![Page 6: Mathematics Test - Regents Examinations · Mathematics Test Book 3 8 21658 May_5–7,_2010_ Developed and published by CTB/McGraw-Hill LLC, a subsidiary of The McGraw-Hill Companies,](https://reader030.vdocuments.mx/reader030/viewer/2022040115/5e6d7f9582d091386816aee7/html5/thumbnails/6.jpg)
Page 4 Book 3 Secure material
Do not reproduce. Do not discuss contents until end of designated makeup schedule.
�5 John reviewed the diagram below to study the angle of refraction of light as it passes through the air into the water.
AirWater
Refractedlight ray
Incidentlight ray
Normal
cd f
gh
b
[not drawn to scale]
What angles are complementary?
Answer ∠ and ∠
∠ and ∠
![Page 7: Mathematics Test - Regents Examinations · Mathematics Test Book 3 8 21658 May_5–7,_2010_ Developed and published by CTB/McGraw-Hill LLC, a subsidiary of The McGraw-Hill Companies,](https://reader030.vdocuments.mx/reader030/viewer/2022040115/5e6d7f9582d091386816aee7/html5/thumbnails/7.jpg)
Go On
Page 5Book 3 Secure material
Do not reproduce. Do not discuss contents until end of designated makeup schedule.
�6 Simplify the expression below, using the laws of exponents.
(54 � 57) � 58
Show your work.
Answer
�7 What is the sum of (x 2 2 3x 2) and (5x 2 2 3x 2 8) ?
Show your work.
Answer
![Page 8: Mathematics Test - Regents Examinations · Mathematics Test Book 3 8 21658 May_5–7,_2010_ Developed and published by CTB/McGraw-Hill LLC, a subsidiary of The McGraw-Hill Companies,](https://reader030.vdocuments.mx/reader030/viewer/2022040115/5e6d7f9582d091386816aee7/html5/thumbnails/8.jpg)
Page 6 Book 3 Secure material
Do not reproduce. Do not discuss contents until end of designated makeup schedule.
�8 In the diagram below, line AB and line CD intersect at point P.
[not drawn to scale]
A C
BD
P
Name the angle that is always congruent to ∠AP C.
Answer
On the lines below, explain why the two angles are congruent.
![Page 9: Mathematics Test - Regents Examinations · Mathematics Test Book 3 8 21658 May_5–7,_2010_ Developed and published by CTB/McGraw-Hill LLC, a subsidiary of The McGraw-Hill Companies,](https://reader030.vdocuments.mx/reader030/viewer/2022040115/5e6d7f9582d091386816aee7/html5/thumbnails/9.jpg)
Go On
Page 7Book 3 Secure material
Do not reproduce. Do not discuss contents until end of designated makeup schedule.
�9 Ms. Lembright ordered the types of muffins below for a class party.
• 12 blueberry muffins for $7.20• 8 chocolate muffins for $4.40• 6 raisin muffins for $4.50
What type of muffin costs the least?
Show your work.
Answer muffin
![Page 10: Mathematics Test - Regents Examinations · Mathematics Test Book 3 8 21658 May_5–7,_2010_ Developed and published by CTB/McGraw-Hill LLC, a subsidiary of The McGraw-Hill Companies,](https://reader030.vdocuments.mx/reader030/viewer/2022040115/5e6d7f9582d091386816aee7/html5/thumbnails/10.jpg)
Page 8 Book 3 Secure material
Do not reproduce. Do not discuss contents until end of designated makeup schedule.
4� What is the product of 8x2y– and 2xy3– ? Use the law of exponents to find the product.
Show your work.
Answer
40 Michael drew a triangle with the sides measuring 12.5 centimeters, 30 centimeters, and 32.5 centimeters. Using the Pythagorean theorem, determine if Michael’s triangle is a right triangle. On the lines below, explain how you determined your answer.
![Page 11: Mathematics Test - Regents Examinations · Mathematics Test Book 3 8 21658 May_5–7,_2010_ Developed and published by CTB/McGraw-Hill LLC, a subsidiary of The McGraw-Hill Companies,](https://reader030.vdocuments.mx/reader030/viewer/2022040115/5e6d7f9582d091386816aee7/html5/thumbnails/11.jpg)
Go On
Page 9Book 3 Secure material
Do not reproduce. Do not discuss contents until end of designated makeup schedule.
42 Scott bought a watch for 48 U.S. dollars. What is the cost of the watch in Swiss francs? Use the conversion formula below.
1 U.S. dollar 1.02 Swiss francs
Show your work.
Answer Swiss francs
Scott would like to buy a battery for 10 U.S. dollars. He has 10.20 Swiss francs remaining after buying the watch. On the lines below, determine whether Scott has enough money to buy the battery. Explain how you determined your answer.
![Page 12: Mathematics Test - Regents Examinations · Mathematics Test Book 3 8 21658 May_5–7,_2010_ Developed and published by CTB/McGraw-Hill LLC, a subsidiary of The McGraw-Hill Companies,](https://reader030.vdocuments.mx/reader030/viewer/2022040115/5e6d7f9582d091386816aee7/html5/thumbnails/12.jpg)
Page �0 Book 3 Secure material
Do not reproduce. Do not discuss contents until end of designated makeup schedule.
4� Triangle XYZ is plotted on the grid below.
y
x
10
9
8
7
6
5
4
3
2
1
-1
-2
-3
-4
-5
-6
-7
-8
-9
-10
0 1 2 3 4 5 6 7 8 9 10 -2 -1 -10 -5 -6 -7 -8 -9 -4 -3
X
Y Z
Part A
On the grid, draw the image of triangle XYZ after a clockwise rotation of 180° about the origin. Label the new triangle X’Y’Z’.
![Page 13: Mathematics Test - Regents Examinations · Mathematics Test Book 3 8 21658 May_5–7,_2010_ Developed and published by CTB/McGraw-Hill LLC, a subsidiary of The McGraw-Hill Companies,](https://reader030.vdocuments.mx/reader030/viewer/2022040115/5e6d7f9582d091386816aee7/html5/thumbnails/13.jpg)
Go On
Page ��Book 3 Secure material
Do not reproduce. Do not discuss contents until end of designated makeup schedule.
Part B
On the lines below, explain how you determined the location of point Y’.
![Page 14: Mathematics Test - Regents Examinations · Mathematics Test Book 3 8 21658 May_5–7,_2010_ Developed and published by CTB/McGraw-Hill LLC, a subsidiary of The McGraw-Hill Companies,](https://reader030.vdocuments.mx/reader030/viewer/2022040115/5e6d7f9582d091386816aee7/html5/thumbnails/14.jpg)
Page �2 Book 3 Secure material
Do not reproduce. Do not discuss contents until end of designated makeup schedule.
44 Ken used the function rule below to create a number pattern.
y 2x 2
Complete the table below using Ken’s function rule.
x y
–4
–2
0
1
3
![Page 15: Mathematics Test - Regents Examinations · Mathematics Test Book 3 8 21658 May_5–7,_2010_ Developed and published by CTB/McGraw-Hill LLC, a subsidiary of The McGraw-Hill Companies,](https://reader030.vdocuments.mx/reader030/viewer/2022040115/5e6d7f9582d091386816aee7/html5/thumbnails/15.jpg)
Go On
Page ��Book 3 Secure material
Do not reproduce. Do not discuss contents until end of designated makeup schedule.
On the coordinate plane below, plot the values of x and y and connect the points with a line.
x
y
8
7
6
5
4
3
2
1
–1
–2
–3
–4
–5
–6
–7
–8
0 1 2 3 4 765 8–1–2–3–4–5–8 –7 –6
![Page 16: Mathematics Test - Regents Examinations · Mathematics Test Book 3 8 21658 May_5–7,_2010_ Developed and published by CTB/McGraw-Hill LLC, a subsidiary of The McGraw-Hill Companies,](https://reader030.vdocuments.mx/reader030/viewer/2022040115/5e6d7f9582d091386816aee7/html5/thumbnails/16.jpg)
Page 14 Book 3 Secure material
Do not reproduce. Do not discuss contents until end of designated makeup schedule.
45 Estimate805 • 11 � 22.
Estimation
Calculatethevalueof805 • 11 � 22.
Show your work.
Answer
Onthelinesbelow,explainwhyyourestimationisreasonable.
StOP
![Page 17: Mathematics Test - Regents Examinations · Mathematics Test Book 3 8 21658 May_5–7,_2010_ Developed and published by CTB/McGraw-Hill LLC, a subsidiary of The McGraw-Hill Companies,](https://reader030.vdocuments.mx/reader030/viewer/2022040115/5e6d7f9582d091386816aee7/html5/thumbnails/17.jpg)
![Page 18: Mathematics Test - Regents Examinations · Mathematics Test Book 3 8 21658 May_5–7,_2010_ Developed and published by CTB/McGraw-Hill LLC, a subsidiary of The McGraw-Hill Companies,](https://reader030.vdocuments.mx/reader030/viewer/2022040115/5e6d7f9582d091386816aee7/html5/thumbnails/18.jpg)
![Page 19: Mathematics Test - Regents Examinations · Mathematics Test Book 3 8 21658 May_5–7,_2010_ Developed and published by CTB/McGraw-Hill LLC, a subsidiary of The McGraw-Hill Companies,](https://reader030.vdocuments.mx/reader030/viewer/2022040115/5e6d7f9582d091386816aee7/html5/thumbnails/19.jpg)
![Page 20: Mathematics Test - Regents Examinations · Mathematics Test Book 3 8 21658 May_5–7,_2010_ Developed and published by CTB/McGraw-Hill LLC, a subsidiary of The McGraw-Hill Companies,](https://reader030.vdocuments.mx/reader030/viewer/2022040115/5e6d7f9582d091386816aee7/html5/thumbnails/20.jpg)
Place Student Label Here
Grade 8Mathematics TestBook 3May_5–7,_2010