Mathematics Test Book 1

Transcription

1 Mathematics Test Book 1 Grade 8 March 6 12,

2 eveloped and published by TB/McGraw-Hill LL, a subsidiary of The McGraw-Hill ompanies, Inc., 20 Ryan Ranch Road, Monterey, alifornia opyright 2008 by New York State Education epartment. 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 New York State Education epartment.

3 Book 1 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 choosing your response. This picture means that you will use your ruler. Book 1 Page 1

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5 Sample A What is the shape of each base of a cylinder? A B circle rectangle triangle square Sample B Use your ruler to help you solve this problem. What is the area, in square centimeters, of the rectangle shown below? A 15 B STOP Book 1 Page 3

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7 1 In the diagram below, which pair of angles has the same measure? [not drawn to scale] A 1 and 2 B 1 and 4 2 and 3 2 and 4 2 Which situation is best represented by the expression 4 h 2? A B Kepa spends 4 hours babysitting and 2 hours traveling. Kepa spends 4 hours babysitting and receives $2 in travel expenses. Kepa will be paid $4 for babysitting and spends 2 hours traveling. Kepa will be paid $4 for every hour of babysitting plus $2 for travel costs. Go On Book 1 Page 5

8 3 In the diagram below, line l and line m are parallel. l m 72 x [not drawn to scale] What is the measure of x? A B Page 6 Book 1

9 4 In the diagram below, g g PQ intersects RT at point S, and the measure of TSQ is 88. P T x S 88 R Q [not drawn to scale] What is the measure, in degrees, of x? A 88 B Simplify the expression below. 5 x (2 x 5) A 10 x 5 B 10 x x 25 x 10 x 2 25 x Go On Book 1 Page 7

10 6 Rectangle AB is formed by triangle AB and triangle A, as shown below. A B Which side of triangle AB is the hypotenuse? A B AB A B 7 What is the simplified form of the expression below? 8x 6 6x 3 2x 2 A 4 x 3 3 B 4 x x 3 3 x 4 x 4 3 x Page 8 Book 1

11 8 Lamar claims that the weight, w, of her cat is at most 11 pounds. What inequality represents her claim? A w 11 B w 11 w 11 w 11 9 In the diagram below, which pair of angles is complementary? [not drawn to scale] A 1 and 2 B 2 and 3 2 and 4 3 and 4 Go On Book 1 Page 9

12 10 Jessica went shopping for a new watch. She found a watch that was originally priced at $50 on sale for $40. By what percent had the watch been marked down? A 10% B 20% 25% 40% 11 Multiply (a 2)(3a 1). A 3 a 2 2 B 3 a 2 5 a 3 a 2 4 a 2 3 a 2 5 a 2 Page 10 Book 1

13 12 Use your ruler to help you solve this problem. iane is taking a trip from Sacramento, alifornia, to Olympia, Washington. Her route is shown on the map below. Olympia EN Washington PAIFI OEAN Oregon Nevada START Sacramento alifornia KEY 1 inch = 250 miles According to the map, what is the approximate distance from Sacramento, alifornia, to Olympia, Washington? A B 625 miles 750 miles 875 miles 1,000 miles Go On Book 1 Page 11

14 13 In the diagram below, what is the measure of angle x? 37 x [not drawn to scale] A B The cost of ynthia s dinner is $ She pays an additional tip that is 20% of the cost of the dinner. What is the best estimate for the amount of the tip? A $2.00 B $3.00 $4.00 $5.00 Page 12 Book 1

15 15 In the diagram below, g g PQ RS, and transversal t intersects both lines. t P Q R S [not drawn to scale] Which angle is the same size as 7? A 1 B Find the value of x in the equation below. 3( x 2) x A 3 B Go On Book 1 Page 13

16 17 A rectangle is plotted on the coordinate plane below. y x -4-6 Which image shows a 90 clockwise rotation about the origin? y y A x x y y B x x Page 14 Book 1

17 18 What verbal expression is the same as the algebraic expression below? 8 3 x A B three times a number minus eight three minus eight times a number eight times a number minus three eight minus three times a number 19 Simplify the expression below. 12x 2 y 3 3xy A 4 x y 2 B 4 x 2 y 2 4 xy 2 4x y 2 Go On Book 1 Page 15

18 20 Simplify the expression below. 10 y 2 15 y 2 A 5 B 5 5 y 2 5 y 4 21 Use your ruler to help you solve this problem. Each morning, a bird flies from his tree in Montgomery to his favorite feeder in Newburgh, as shown in the scale drawing below. Montgomery Newburgh SALE 1 inch = 5 miles Approximately how many miles does the bird fly from the tree to the feeder each morning? A 2 B Page 16 Book 1

19 22 In the diagram below, lines a and b are parallel. a b [not drawn to scale] Which angle is supplementary to 2? A 3 B Factor the expression below using the greatest common factor (GF). 12 n 5 8 n 3 6 n A 2 n (6 n 4 4 n 2 3) B 2 n (6 n 5 4 n 3 3 n ) 2 n (12 n 5 4 n 2 6) 2 n (6 n 4 8 n 3 6 n ) Go On Book 1 Page 17

20 24 Which of these phrases best describes a polynomial? A B a decimal that is non-terminating or non-repeating an algebraic expression containing one or more terms a close-planed figure formed by three or more line segments a number greater than one that has exactly two different factors 25 Triangle RST is shown below. R 5 13 S T [not drawn to scale] Pythagorean theorem: c 2 a 2 b 2 What is the length of ST? A 5 B Page 18 Book 1

21 26 The area of triangle RST is 36 square inches. Under which transformation could the area of the image, triangle R S T, be greater than 36 square inches? A B dilation reflection rotation translation 27 Simplify the expression below. 4 k 2 5 k 3 5 k 2 2 A 4 k 2 10 k 1 B 9 k 2 5 k 1 9 k 2 7 k 3 14 k 2 5 k 1 STOP Book 1 Page 19

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24 Grade 8 Mathematics Test Book 1 March 6 12, 2008