18,99 €
Mehr erfahren.
- Herausgeber: John Wiley & Sons
- Kategorie: Bildung
- Sprache: Englisch
1,001 opportunities to hone your Praxis test-taking skills So, you're an aspiring teacher with your sights set on educating students. Good for you! Teaching is a noble profession, and it's quite a competitive one too. Each year, over 600,000 prospective educators take the Praxis exams--but not all of them will come out of these standardized tests with their certifications in tow. If you're wondering how you can up the ante and ensure you gain the credentials to score that coveted spot at the front of the classroom, the answer is a practice question away! 1,001 Praxis Core Practice Questions For Dummies goes beyond the instruction offered in typical study guides, offering more than a thousand practice opportunities for you to test and assess your understanding of what you can expect to encounter on the actual exam. Complemented with detailed, step-by-step solutions, each practice Praxis Core question gives you a leg up on the competition to earn your hard-earned position as the future's next great educator! * Increase your chances of scoring higher on the Praxis Core exam * Test your skills with practice problems for every question type * Access practice problems online, from easy to hard * Track your progress, pinpoint your strengths, and work through your weaknesses Practice your way to Praxis test-taking perfection! Free one-year access to all 1,001 practice questions online.
Sie lesen das E-Book in den Legimi-Apps auf:
Seitenzahl: 849
Veröffentlichungsjahr: 2016
Ähnliche
1,001 Praxis® Core Practice Questions For Dummies®
Published by: John Wiley & Sons, Inc., 111 River Street, Hoboken, NJ 07030-5774, www.wiley.com
Copyright © 2017 by John Wiley & Sons, Inc., Hoboken, New Jersey
Published simultaneously in Canada
No part of this publication may be reproduced, stored in a retrieval system or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, scanning or otherwise, except as permitted under Sections 107 or 108 of the 1976 United States Copyright Act, without the prior written permission of the Publisher. Requests to the Publisher for permission should be addressed to the Permissions Department, John Wiley & Sons, Inc., 111 River Street, Hoboken, NJ 07030, (201) 748-6011, fax (201) 748-6008, or online at http://www.wiley.com/go/permissions.
Trademarks: Wiley, For Dummies, the Dummies Man logo, Dummies.com, Making Everything Easier, and related trade dress are trademarks or registered trademarks of John Wiley & Sons, Inc., and may not be used without written permission. PRAXIS is a registered trademark of Educational Testing Service (ETS). This product is not endorsed or approved by ETS. All other trademarks are the property of their respective owners. John Wiley & Sons, Inc., is not associated with any product or vendor mentioned in this book.
LIMIT OF LIABILITY/DISCLAIMER OF WARRANTY: THE PUBLISHER AND THE AUTHOR MAKE NO REPRESENTATIONS OR WARRANTIES WITH RESPECT TO THE ACCURACY OR COMPLETENESS OF THE CONTENTS OF THIS WORK AND SPECIFICALLY DISCLAIM ALL WARRANTIES, INCLUDING WITHOUT LIMITATION WARRANTIES OF FITNESS FOR A PARTICULAR PURPOSE. NO WARRANTY MAY BE CREATED OR EXTENDED BY SALES OR PROMOTIONAL MATERIALS. THE ADVICE AND STRATEGIES CONTAINED HEREIN MAY NOT BE SUITABLE FOR EVERY SITUATION. THIS WORK IS SOLD WITH THE UNDERSTANDING THAT THE PUBLISHER IS NOT ENGAGED IN RENDERING LEGAL, ACCOUNTING, OR OTHER PROFESSIONAL SERVICES. IF PROFESSIONAL ASSISTANCE IS REQUIRED, THE SERVICES OF A COMPETENT PROFESSIONAL PERSON SHOULD BE SOUGHT. NEITHER THE PUBLISHER NOR THE AUTHOR SHALL BE LIABLE FOR DAMAGES ARISING HEREFROM. THE FACT THAT AN ORGANIZATION OR WEBSITE IS REFERRED TO IN THIS WORK AS A CITATION AND/OR A POTENTIAL SOURCE OF FURTHER INFORMATION DOES NOT MEAN THAT THE AUTHOR OR THE PUBLISHER ENDORSES THE INFORMATION THE ORGANIZATION OR WEBSITE MAY PROVIDE OR RECOMMENDATIONS IT MAY MAKE. FURTHER, READERS SHOULD BE AWARE THAT INTERNET WEBSITES LISTED IN THIS WORK MAY HAVE CHANGED OR DISAPPEARED BETWEEN WHEN THIS WORK WAS WRITTEN AND WHEN IT IS READ.
For general information on our other products and services, please contact our Customer Care Department within the U.S. at 877-762-2974, outside the U.S. at 317-572-3993, or fax 317-572-4002. For technical support, please visit https://hub.wiley.com/community/support/dummies.
Wiley publishes in a variety of print and electronic formats and by print-on-demand. Some material included with standard print versions of this book may not be included in e-books or in print-on-demand. If this book refers to media such as a CD or DVD that is not included in the version you purchased, you may download this material at http://booksupport.wiley.com. For more information about Wiley products, visit www.wiley.com.
Library of Congress Control Number: 2016949223
ISBN 978-1-119-26388-3 (pbk); ISBN 978-1-119-26395-1 (ebk); ISBN 978-1-119-26398-2 (ebk)
1,001 Praxis® Core Questions For Dummies®
To view this book's Cheat Sheet, simply go to www.dummies.com and search for “1,001 Praxis Core Practice Questions For Dummies Cheat Sheet” in the Search box.
Table of Contents
Cover
Introduction
What You’ll Find
How This Book Is Organized
Beyond the Book
Where to Go for Additional Help
Part 1: The Questions
Chapter 1: Math
The Problems You’ll Work On
What to Watch Out For
Number and Quantity
Algebra
Geometry
Statistics
Chapter 2: Reading Comprehension
The Problems You’ll Work On
What to Watch Out For
Set 1
Set 2
Set 3
Set 4
Set 5
Set 6
Chapter 3: Grammar and Writing
The Problems You’ll Work On
What to Watch Out For
Correcting Sentences
Revising in Context
Chapter 4: Research and Essays
The Problems You’ll Work On
What to Watch Out For
Research Skills
Argumentative Essays
Informative/Explanatory Essays
Part 2: The Answers
Chapter 5: The Answers
Chapter 1
Chapter 2
Chapter 3
Chapter 4
About the Authors
Connect with Dummies
End User License Agreement
Guide
Cover
Table of Contents
Begin Reading
Pages
iii
iv
vii
viii
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
197
198
199
200
201
202
203
204
205
206
207
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
517
518
519
520
Introduction
Welcome to 1,001 Praxis Core Practice Questions For Dummies. Don’t take the dummies thing literally — you’re obviously smart and capable. You’ve chosen to shape the minds of future generations through education. And on that quest, you will encounter obstacles. At least one of those is a Praxis exam.
This book is designed to give you lots of exposure to the kinds of questions you’ll see on the very first test for teachers: the Praxis Core Academic Skills for Educators exam (referred to as Praxis or Praxis Core from here on). To clear this hurdle, you need some practice and pointers on how best to answer the questions. This book provides that and more: It goes beyond providing relevant practice questions by showing simple and effective ways to solve challenging Praxis problems.
What You’ll Find
The Praxis Core practice problems in this book are divided into four chapters based on skills involving Math, Reading, Writing, and Essays. Questions are adjusted and repeated to give you practice and mastery. If you struggle with one question, you can find a group of similar questions to practice and hone your skills. This book serves as an effective standalone refresher of Praxis basics or as an excellent companion to the latest edition of Praxis Core For Dummies (Wiley). Either way, this book helps you identify subject areas you need to work on so you can practice them until you’re a pro and thus prepare for test day.
If you get a problem wrong, don’t just read the answer explanation and move on. Instead, come back to the problem and solve it again, this time avoiding the mistake you made the first time. This is how you improve your skills and figure out how to solve the problems correctly and easily.
Whatever you do, stay positive. The challenging problems in this book aren’t meant to discourage you; they’re meant to show you how to solve and master them.
How This Book Is Organized
The first part of this book gives you questions covering math, reading, and writing. All the answers and explanations are in the second part of the book.
The math subtest covers the following topics:
Number and quantity:
These questions focus on your understanding of order among integers, the representation of a number in more than one way, place value, whole number properties, equivalent computational procedures, ratios, proportions, and percentages.
Algebra and functions:
These questions assess your ability to handle equations and inequalities, recognize various ways to solve a problem, determine the relationship between verbal and symbolic expressions, and interpret graphs. In this section, you also encounter questions that test your knowledge of basic function definitions and the relationship between the domain and range of any given function.
Geometry:
These questions assess your the understanding and application of the characteristics and properties of geometric shapes, the Pythagorean theorem, transformations, and the use of symmetry to analyze mathematical situations. (Knowledge of basic U.S. and metric systems of measurement is assumed.)
Statistics and probability:
These questions assess your ability to read and interpret the visual display of quantitative information; understand the correspondence between data and graph; make inferences from a given data display; determine mean, median, and mode; and assign probability to an outcome.
The reading questions in this book cover the following topics:
Key ideas and details:
These questions require you to read text closely, make logical inferences, connect specific details, address author differences, and determine uncertain matters.
Craft, structure, and language skills:
These questions require you to interpret words and phrases, recognize the tone of word choices, analyze text structure, assess points of view, and apply language knowledge to determine fact or opinion, determine word meanings, and understand a range of words and their nuances.
Integration of knowledge and ideas:
These questions require you to analyze diverse media content, evaluate arguments in texts, and analyze how two or more texts address similar themes.
On the writing subtest, you find these types of questions:
Text types, purposes, and production:
These questions require you to edit and revise text passages.
Language skills:
These questions require you to demonstrate command of English grammar, usage, capitalization, and punctuation.
Research skills:
These questions assess your understanding of doing research and citing sources.
As part of the writing subtest, you’ll also be required to demonstrate knowledge and research skills by writing two essays based on information presented. One is an argumentative essay; the other is an explanation of a topic.
Beyond the Book
Your purchase of this book gives you so much more than a thousand (and one) problems to work on to improve your skills with the Praxis Core. It also comes with a free, one-year subscription to hundreds of practice questions online. Not only can you access this digital content anytime you want, on whichever device is available to you, but you can also track your progress and view personalized reports that show which concepts you need to study the most.
What you’ll find online
The online practice that comes free with this book offers you the same questions and answers that are available here. Of course, the real beauty of the online problems is your ability to customize your practice. In other words, you get to choose the types of problems and the number of problems you want to tackle. The online program tracks how many questions you answer correctly or incorrectly so that you can get an immediate sense of which topics require more of your attention.
This product also comes with an online Cheat Sheet that helps you increase your odds of performing well on the Praxis Core. To get the Cheat Sheet, simply go to www.dummies.com and type “1,001 Praxis Core Practice Questions For Dummies Cheat Sheet” in the Search box. (No access code required. You can benefit from this info even before you register.)
How to register
To gain access to practice online, all you have to do is register. Just follow these simple steps:
Find your PIN access code:
Print-book users:
If you purchased a print copy of this book, look at the inside of the front cover of your book to find your access code.
E-book users:
If you purchased this book as an e-book, you can get your access code by registering your e-book at
www.dummies.com/go/getaccess
. Once on this website, find your book and click it, and then answer the security questions to verify your purchase. You’ll receive an email with your access code.
Go to
Dummies.com
and click
Activate Now.
Find your product (
1,001 Praxis Core Practice Questions For Dummies
) and then follow the on-screen prompts to activate your PIN.
Now you’re ready to go! You can come back to the program as often as you want — simply log in with the username and password you created during your initial login. No need to enter the access code a second time.
For Technical Support, please visit http://wiley.custhelp.com or call Wiley at 1-800-762-2974 (U.S.) or +1-317-572-3994 (international).
Where to Go for Additional Help
The solutions to the practice problems in this book are meant to walk you through how to get the right answers; they’re not meant to teach the material. If certain concepts are unfamiliar to you, you can find help at www.dummies.com. Just type “1,001 Praxis Core” into the Search box to turn up a wealth of Praxis-related information.
If you need more detailed instruction, check out Praxis Core For Dummies, also by Carla Kirkland and Chan Cleveland.
Part 1
The Questions
IN THIS PART …
Practice basic math, algebra, geometry, and statistics problems.
Read passages and answer reading comprehension questions.
Work through grammar and writing questions.
Answer research questions and write essays.
Chapter 1
Math
The math test of the Praxis Core exam includes 56 questions in four major areas of math. This part of the book explores each of those areas and the general math topics that are covered on the test. In this chapter, you can gain further understanding of the skills you need and get perspective on an array of questions and approaches to various math topics.
The Problems You’ll Work On
Math questions may be multiple choice, fill-in, or select all that apply. When working through the questions in this chapter, be prepared to answer questions on these topics:
Number and quantity,
including topics such as basic operations, number form conversions, order of operations, number order, sequences, word problems, and measurement
Algebra,
which includes combining like terms, using given variable values, solving equations and inequalities, and solving algebraic word problems
Geometry,
which covers basic geometric building blocks, angles, polygons and circles, three-dimensional figures, and the coordinate plane
Statistics and probability,
involving representations of data, central tendencies, probability calculations, and scientific notation
What to Watch Out For
Various types of mistakes can occur when you’re working math problems. Be on the lookout for common errors such as these:
Overlooking part of a rule or confusing one rule with another
Misusing the four-function online calculator
Confusing one mathematical term with another
Using the incorrect expression to represent what’s described
Assuming all geometric figures are drawn to scale
Stopping before answering the final question in a multi-step problem
Number and Quantity
1. What is the value of the following sum?
(A) 24
(B) –10
(C) 4
(D) –24
(E) 18
2. What is the sum of –5, –10, 4, and –7?
(A) –18
(B) –26
(C) 18
(D) –4
(E) 26
3. Which of the following is the value of this product?
(A) 45
(B) –90
(C) –45
(D) 90
(E) 30
4. What is the value of ?
(A) 379
(B) 1
(C) –379
(D) –1
(E) 378
5. Which of the following is a factor of 63?
(A) 31
(B) 21
(C) 13
(D) 16
(E) 6
6. Which of the following is NOT a factor of 42?
(A) 7
(B) 6
(C) 14
(D) 21
(E) 18
7. All of the following are multiples of 53 EXCEPT
(A) 106
(B) 265
(C) 370
(D) 159
(E) 318
8. Ninety is NOT a multiple of which of the following?
(A) 30
(B) 5
(C) 15
(D) 23
(E) 3
9. What number is the greatest common factor of 28 and 72?
(A) 4
(B) 1
(C) 7
(D) 2
(E) 14
10. Which of the following is NOT a common factor of 84 and 144?
(A) 12
(B) 6
(C) 1
(D) 24
(E) 21
11. What is the least common multiple of 18 and 24?
(A) 48
(B) 72
(C) 144
(D) 432
(E) 6
12. Twenty-four is the least common multiple of 8 and which of the following numbers?
(A) 12
(B) 36
(C) 4
(D) 16
(E) 2
13. What is the cube of 5?
(A) 25
(B) 15
(C) 625
(D) 125
(E) 50
14. Which of the following numbers to the 4th power is 81?
(A) 27
(B) 3
(C) 9
(D) 36
(E) 13
15. What is the square root of 576?
(A) 34
(B) 56
(C) 24
(D) 44
(E) 26
16. If the cube root of 64 is multiplied by the greatest common factor of 20 and 45, what is the result?
(A) 100
(B) 20
(C) 80
(D) 60
(E) 40
17. What is half the square of the least common multiple of 14 and 21?
(A) 882
(B) 98
(C) 1,764
(D) 220.5
(E) 196
18. Which of the following is the value of this expression?
(A) 8
(B) 16
(C) 32
(D) 72
(E) 64
19. What is the greatest common factor of the square of 6 and the least common multiple of 8 and 9?
(A) 72
(B) 6
(C) 24
(D) 36
(E) 18
20. Which of the following is a counterexample to this statement?
With the exception of 1, the common factors of 24 and 120 are even.
(A) 3
(B) 12
(C) 10
(D) 9
(E) 6
21. Which of the following is the simplified form of ?
(A)
(B)
(C)
(D)
(E)
22. What is in simplest form?
(A)
(B)
(C)
(D)
(E)
23. The fraction is the simplified form of which of the following fractions?
(A)
(B)
(C)
(D)
(E)
24. If of the songs played on a radio station in a year were rock and roll songs, which of the following also represents the portion of rock and roll songs that were played on the station?
(A)
(B)
(C)
(D)
(E)
25. Which of the following is in simplest form?
(A)
(B)
(C)
(D)
(E)
26. Is equal to ?
(A) Yes
(B) No
27. Which of the following fractions is equal to ?
(A)
(B)
(C)
(D)
(E)
28. What is in simplified fraction form? Write your answer.
29. What fraction is the simplified form of ?
(A)
(B)
(C)
(D)
(E)
30. Which of the following mixed numbers is equal to ?
(A)
(B)
(C)
(D)
(E)
31. Which of the following is equal to ?
(A)
(B)
(C)
(D)
(E)
32. The fraction is equal to which of the following?
(A)
(B)
(C) 7
(D)
(E)
33. Which of the following is the sum of and ?
(A)
(B)
(C) 4
(D)
(E)
34. Which of the following equals the value of this expression?
(A)
(B)
(C)
(D) –2
(E)
35. What is the product of and ?
(A)
(B)
(C)
(D)
(E)
36. What is the quotient?
(A)
(B)
(C)
(D)
(E)
37. What is the value of divided by ?
38. Which of the following is in decimal form?
(A) 0.8
(B) 0.4
(C) 0.5
(D) 0.1
(E) 0.2
39. Which of the following is equal to ?
(A) 0.2
(B) 0.8
(C) 0.7
(D) 0.125
(E) 0.15
40. Which of the following is 0.34 expressed as a fraction in simplest form?
(A)
(B)
(C)
(D)
(E)
41. The number 0.75 can be expressed as which percent?
(A) 0.075%
(B) 750%
(C) 0.75%
(D) 0.0075%
(E) 75%
42. The fraction can be represented as what percent?
(A) 2.5%
(B) 0.25%
(C) 250%
(D) 25%
(E) 0.025%
43. Which of the following is 42% in simplest fraction form?
(A)
(B)
(C)
(D)
(E)
44. What is 34.848% in decimal form?
(A) 34.848
(B) 3,484.8
(C) 3.4848
(D) 348.48
(E) 0.34848
45. Which of the following is 496.032% expressed as a decimal number?
(A) 496032.0
(B) 49.6032
(C) 49,603.2
(D) 496.032
(E) 4.96032
46. What is in decimal form?
(A) –2.125
(B) –2.25
(C) –2.1
(D) –2.8
(E) –2.012
47. Which of the following is expressed as a percent?
(A) 8.2%
(B) 8.4%
(C) 0.08%
(D) 80.4%
(E) 840%
48. What is the sum of and 3.178, rounded to the nearest thousandth?
(A) 3.3
(B) 3.26
(C) 3.262
(D) 3.026
(E) 3.261
49. Which of the following is the sum of this expression, rounded to the nearest tenth?
(A) 15.54123
(B) 15.6
(C) 4,704.4
(D) 15.5
(E) 4,704.3
50. Which of the following is the product of and –14.4?
(A) 2.16
(B) –2
(C) –2.16
(D) 2
(E) –2.07
51. Which of these numbers is greater?
(A)
(B) 0.76
52. Which of these numbers has the greatest value?
(A)
(B)
(C) 3.1
(D) 3.11
(E)
53. Which of these numbers has the lowest absolute value?
(A)
(B)
(C) –0.47
(D) 0.471
(E)
54. Which of the following is the correct order of these numbers from least to greatest?
(A) , 1.36, 134%, 1.36,
(B) , , 1.36, 134%,
(C) 134%, , 1.36, , 1
(D) , , 134%, 1.36,
(E) 1, , 1.36, , 134%
55. Which of the following is the correct order of these numbers from greatest to least?
(A) 409%, 4.1, , ,
(B) , , 4.1, , 409%
(C) 409%, 4.1, , ,
(D) , 409%, , , 4.1
(E) , , , 4.1, 409%
56. Which of the following numbers has a greater magnitude than ?
(A) 1,250%
(B)
(C)
(D) –12.51
(E)
57. What is the correct order of absolute value for these numbers, from greatest to least?
(A) , 5.14,
(B) , 5.14,
(C) , , 5.14
(D) 5.14, ,
(E) , , 5.14
58. The distance from one labeled coordinate to the next on the number line is the same in every case. What is the value of y?
© John Wiley & Sons, Inc.
(A) 17.5
(B) 18.5
(C) 17
(D) 16
(E) 18
59. For the number line, if D is halfway between C and E, what is the coordinate of D?
© John Wiley & Sons, Inc.
(A) 2.2
(B) 2.4
(C) 1.2
(D) 1.6
(E) 1.1
60. For this number line, the distance from P to Q is half the distance from Q to R, and that distance is half the distance from R to S. The coordinate of P is 4, and the coordinate of R is 10. What is the coordinate of S?
© John Wiley & Sons, Inc.
(A) 18
(B) 16
(C) 20
(D) 24
(E) 14
61. A number line contains the points A, B, C, and D. C is half the distance from B to D, and B is half the distance from A to C. Which of the following statements is true?
(A) The distance from A to B is greater than the distance from C to D.
(B) The distance from A to B is less than the distance from C to D.
(C) The distance from B to D is greater than the distance from A to C.
(D) The distance from B to D is equal to the distance from A to B.
(E) The distance from A to B is equal to the distance from C to D.
62. For this number line, T is halfway between M and W. What is the coordinate of T?
© John Wiley & Sons, Inc.
(A) 3.5
(B) 3
(C) 4
(D) 3.25
(E) 3.75
63. What is the seventh term of this sequence?
5, 9, 13, 17, …
(A) 21
(B) 20
(C) 29
(D) 24
(E) 33
64. What term belongs in the blank in this sequence?
14, 17, __, 23, …
(A) 18
(B) 20
(C) 26
(D) 22
(E) 29
65. What is the first term in this sequence?
__, 6, 12, 24, …
(A) 5
(B) 2
(C) 4
(D) 3
(E) 1
66. The first term of a geometric sequence is 1. The fifth term is 81. How many times greater is each term, after the first term, than the preceding term?
(A) 2
(B) 9
(C) 4
(D) 18
(E) 3
67. Is this sequence arithmetic or geometric?
10, 15, 20, 25, 30, …
(A) Arithmetic
(B) Geometric
68. What is the value of this expression?
(A) 25
(B) 20
(C) 21
(D) 15
(E) 24
69. Which of the following is the first operation that should be performed in evaluating the expression?
(A) Multiplying 5 by 2
(B) Adding 3 and 5
(C) Subtracting 2 from 7
(D) Squaring 2
(E) Multiplying 2 by 3
70. Which of the following is the value of this expression?
(A) 11
(B) –143
(C) 5
(D) 0
(E) –3
71. What is the value of this expression?
(A) –14
(B) 12
(C) –30
(D) 1
(E) –3
72. What is the value of this expression?
(A) 2
(B) 4
(C)
(D) 8
(E)
73. What number results from a correct evaluation of this expression?
(A) 16
(B) 13
(C) 3
(D) 26
(E) 21
74. What is the value of this expression?
(A) 15
(B)
(C) 12.5
(D)
(E) 3
75. Evaluate this expression.
(A)
(B)
(C)
(D)
(E)
76. Evaluate this expression.
(A)
(B)
(C)
(D)
(E)
77. What is the value of this expression?
(A) –5
(B) 4
(C) –12
(D) –10
(E) 7
78. At a school, 110 of the students are boys and 122 of the students are girls. What percent, rounded to the nearest hundredth, of the students are girls?
(A) 92.423%
(B) 52.59%
(C) 90.16%
(D) 190.16%
(E) 52.586%
79. The number of records in Joe’s record collection went from 400 to 408. By what percent did Joe’s record collection increase?
(A) 16%
(B) 8%
(C) 5%
(D) 4%
(E) 2%
80. The number of cookies in a box went from 40 to 30. Which of the following accurately describes the change in the number of cookies in the box?
(A) 1.33% increase
(B) 0.25% increase
(C) 25% decrease
(D) 0.25% decrease
(E) 2.5% increase
81. If of the flowers in a garden are daisies, what percent of the flowers in the garden are daisies?
(A) 40%
(B) 4%
(C) 2%
(D) 20%
(E) 50%
82. At a police department, 14% of the officers are rookies. What is the ratio, in simplest form, of officers who are rookies to the total number of officers?
(A)
(B)
(C)
(D)
(E)
83. Sebastian ran 42 miles in a week. The next week, he ran 48 miles. Which of the following accurately represents the ratio of the number of miles Sebastian ran the first week to the number of miles he ran the second week?
(A)
(B)
(C)
(D)
(E)
84. Two U.S. states are not on the country’s mainland. The U.S. has a total of 50 states. What is the ratio of U.S. states NOT on its mainland to U.S. states that are on the country’s mainland?
(A)
(B)
(C)
(D)
(E)
85. Luca is 12 years old, and Dave is 66 years old. What is the ratio of Dave’s age to Luca’s age, in simplest form?
(A)
(B)
(C)
(D)
(E)
86. In a game of golf, Johnny scored 78. The next day, Johnny played another game of golf and scored 72. What is the ratio of Johnny’s golf score on the first day to his score on the second day, in simplest form?
(A)
(B)
(C)
(D)
(E)
87. Trace’s video collection includes 132 comedy videos and 144 drama videos. What is the ratio of comedy videos to drama videos in the collection?
(A)
(B)
(C)
(D)
(E)
88. In a classroom, 8 of the 30 students are football players. In another classroom, 3 of the 10 students are football players. What is the sum of the ratios of football players to students who do not play football for the two classrooms?
(A)
(B)
(C)
(D)
(E)
89. The ratio of cashews to other nuts in Jar 1 is . The ratio of cashews to other nuts in Jar 2 is . How much greater is the ratio of cashews to other nuts in Jar 2 than the ratio of cashews to other nuts in Jar 1?
(A)
(B)
(C)
(D)
(E)
90. In a town with a population of 2,400, 41% of the residents drive trucks. How many of the residents drive trucks?
(A) 1,124
(B) 984
(C) 1,492
(D) 432
(E) 587
91. On a track team, 11 of the 22 members are honor roll students. What percent of the members of the track team are honor roll students?
(A) 200%
(B) 50%
(C) 25%
(D) 75%
(E) 2%
92. What number results from tripling the sum of 4 and 7?
(A) 11
(B) 3
(C) 22
(D) 19
(E) 33
93. If 17 is decreased by 8 and the difference is multiplied by 2 more than itself, what is the result?
(A) 72
(B) 11
(C) 20
(D) 99
(E) 20
94. A group of 400 people went camping for a weekend. On Saturday, each camper engaged in one of the activities listed in the table. The table shows the percentages of campers who engaged in each activity. According to the table, which of the following statements is true?
ACTIVITY
PERCENT
Canoeing
34%
Hiking
21%
Rock Climbing
38%
Birdwatching
17%
(A) Sixty-eight campers went canoeing.
(B) Twice as many campers went birdwatching as the number that went canoeing.
(C) Eighty-two campers went hiking.
(D) Sixteen more campers went rock climbing than canoeing.
(E) Twenty-one more campers went rock climbing than birdwatching.
95. The table shows the percentages of political party affiliation at a college for eccentric students. The number of students attending the college is 2,850. How many more students are in a political party NOT listed in the table than students in a political party that is listed in the table?
POLITICAL PARTY MEMBERSHIP
PERCENT
People’s Party of Utopia
22%
Anarchist Party of Not Voting
16%
Party of Free Market Communism
8%
Other
54%
(A) 8
(B) 1,539
(C) 627
(D) 228
(E) 1,311
96. An island had a population of 824 penguins. One-fourth of the island’s penguin population moved to another island. The remaining population increased by and has remained the same since then. How many penguins are now on the island?
(A) 927
(B) 824
(C) 618
(D) 206
(E) 309
97. A bakery had 42 rolls on a shelf. A customer bought of the rolls on the shelf. How many rolls did the customer buy?
(A) 42
(B) 7
(C) 16
(D) 24
(E) 32
98. Karen read of the pages in a book the day she bought it. The next day, she read another of the book. What portion of the book had Karen read by the end of the day after she bought it?
(A)
(B)
(C)
(D)
(E)
99. A soccer team has a uniform design with 5 stripes on the shirt. Each stripe has 4 stars. The team has 34 members. If every member of the team stands in the same room, how many uniform stars are in the room?
(A) 43
(B) 680
(C) 54
(D) 720
(E) 870
100. In an organization, of the members are from Texas. Three-sevenths of those members are women. Of those women, ride a bus to work. What portion of the members of the organization are women from Texas who ride a bus to work?
(A)
(B)
(C)
(D)
(E)
101. The number of customers in a grocery store at 4:15 p.m. was 37. An hour later, the number of customers was 5 times as many. At the decoration store across the street, the number of customers in the store at 4:15 p.m. on the same day was 12. An hour later, the number of customers in the decoration store was times as many. At 5:15 p.m. on that day, what was the sum of the number of customers in the grocery store and the decoration store?
(A) 185
(B) 42
(C) 188
(D) 240
(E) 227
102. Edward opened a savings account and put $500 in it. The interest on the account is 12% per year. If no money is deposited in or taken out of the account, how much money will Edward have in the account exactly a year after he put in $500?
(A) $560
(B) $60
(C) $6,000
(D) $440
(E) $620
103. Virgie buys a hat for $56. If the tax on the hat is 8%, what is the total price of the hat?
(A) $4.48
(B) $51.52
(C) $60.48
(D) $62.58
(E) $58.72
104. A governor wants of a state construction project finished by the end of the month. The construction supervisor wants of the project finished by the end of the month. Do the governor and the construction supervisor want the same portion of the project finished by the end of the month?
(A) Yes
(B) No
105. How many meters are in 14.8 centimeters?
(A) 14
(B) 1.4
(C) 0.014
(D) 140
(E) 0.148
106. How many deciliters are in 0.571 hectoliters?
(A) 5.71
(B) 571
(C) 57.1
(D) 5,710
(E) 0.571
107. A rock has a mass of 4.9327 dekagrams. What is the mass of the rock in centigrams?
(A) 4,932.7
(B) 49.327
(C) 0.49327
(D) 0.049327
(E) 493.27
108. Alexia drove 54 kilometers on the Natchez Trace. How many millimeters did she drive?
(A) 540
(B) 5,400
(C) 0.000054
(D) 0.00054
(E) 54,000,000
109. The amount of rainwater in a bucket is 0.38 liters. How many kiloliters of rain water are in the bucket?
(A) 380
(B) 0.00038
(C) 0.038
(D) 3,800
(E) 3.8
110. How many inches are in 4 feet?
(A)
(B) 3
(C) 8
(D) 48
(E) 12
111. How many feet are in 4 inches?
(A)
(B) 3
(C) 8
(D) 48
(E) 12
112. How many cups are in 4.5 gallons?
(A) 0.28125
(B) 3.56
(C) 20.5
(D) 72
(E) 11.5
113. How many gallons are in 4.5 cups?
(A) 0.28125
(B) 3.56
(C) 20.5
(D) 72
(E) 11.5
114. Simon walked 3 kilometers down a trail. He then got on another trail and walked 456 meters. What is the total distance Simon walked, in kilometers?
(A) 3.456
(B) 3,456
(C) 459
(D) 34.56
(E) 345.6
115. Dr. Richard has 5.382 kiloliters of a chemical in a drum. He pours out 42.79 hectoliters of the chemical. How much of the chemical remains in the drum?
(A) 48.172 kL
(B) 1.103 kL
(C) 4.8172 kL
(D) 4.9541 kL
(E) 374.08 kL
116. A baby frog had a mass of 4.07 decigrams. It now has an extra 0.08 kilograms of mass. Which of the following correctly represents the mass of the frog?
(A) 4.15 decigrams
(B) 804.07 decigrams
(C) 399 decigrams
(D) 0.080407 decigrams
(E) 1,207 decigrams
117. The height of a tower is 15 feet plus another 7 yards. Which of the following is a true representation of the height of the tower?
(A) 22 feet
(B) 66 feet
(C) 36 feet
(D) 52 feet
(E) 24 feet
118. A snail moved 2,088 inches north and then turned around and moved 72 yards south. Which of the following correctly represents the position of the snail in relation to its starting point?
(A) 42 feet north
(B) 58 feet north
(C) 42 feet south
(D) 58 feet south
(E) 2,016 feet north
119. Jake has 3.5 gallons of water in a jug for his football team. Each player has a 2-pint bottle. How many 2-pint bottles can be filled by the water in the jug?
(A) 28
(B) 56
(C) 14
(D) 7
(E) 112
120. Stefan ran 15 miles at a constant speed in 3 hours. What was his speed?
(A) 45 miles per hour
(B) 15 miles per hour
(C) 5 miles per hour
(D) 3 miles per hour
(E) mile per hour
121. Two trains start at the same place and move in opposite directions. One train moves at a constant speed of 56 kilometers per hour, and the other train moves at a constant speed of 72 kilometers per hour. How many hours will it take for the trains to be 729.6 kilometers apart?
(A) 10.13
(B) 13
(C) 601.6
(D) 5.7
(E) 0.175
122. What is 41 yards per minute expressed in inches per second?
(A) 24.6 inches per second
(B) 1,476 inches per second
(C) 123 inches per second
(D) 2.05 inches per second
(E) 8.2 inches per second
123. Herschel ran 40 yards in 4.2 seconds. What was his average speed in feet per minute, rounded to the nearest hundredth?
(A) 28.57 feet per minute
(B) 571.43 feet per minute
(C) 8.40 feet per minute
(D) 9.52 feet per minute
(E) 1,714.29 feet per minute
Algebra
124. What is the sum of 12xy and 14xy?
(A)
(B) 26xy
(C) 2xy
(D) 26
(E)
125. Which of the following is the product of and ?
(A)
(B)
(C)
(D)
(E)
126. If a represents 2 pounds and b represents 4 ounces, which of the following represents 8 pounds and 12 ounces?
(A)
(B)
(C)
(D)
(E)
127. Which of the following is the sum of and ?
(A)
(B)
(C) –4
(D)
(E)
128. Which of the following is equal to ?
(A)
(B)
(C)
(D)
(E)
129. All of the following are like terms to EXCEPT
(A)
(B)
(C)
(D)
(E)
130. What is the product of and ?
(A)
(B)
(C)
(D)
(E)
131. Which of the following is equal to this expression?
(A)
(B)
(C)
(D)
(E)
132. If j, k, and m are consecutive integers, listed in order from least to greatest, what is one-third of their sum?
(A)
(B) k
(C)
(D)
(E) 3j
133. Bill’s age is represented by xy, and Michael’s age is represented by xyz. Which of the following represents the product of Bill and Michael’s ages?
(A) 2xyz
(B)
(C) 4xyz
(D)
(E) y
134. Which of the following binomials can be multiplied by to get a product of ?
(A)
(B)
(C)
(D)
(E)
135. Which of the following is equal to the product of and ?
(A)
(B)
(C)
(D)
(E)
136. If the ratio is equal to the ratio , which of the following is true?
(A)
(B)
(C)
(D)
(E)
137. Which of the following terms is equal to this expression?
(A) 9m
(B) 6m
(C) 4m
(D) –9m
(E) 2m
138. If j is an even number and k is an odd number, which of the following represents an odd number?
(A)
(B)
(C)
(D)
(E)
139. Which of the following is the complete factorization of ?
(A)
(B)
(C)
(D)
(E)
140. Which of the following is the full factorization of ?
(A)
(B)
(C)
(D)
(E)
141. What is the greatest common factor of and ?
(A)
(B)
(C)
(D)
(E)
142. Which of the following is the full factorization of ?
(A)
(B)
(C)
(D)
(E)
143. Which of the following is NOT a factor of ?
(A)
(B)
(C)
(D)
(E)
144. is the full factorization of what expression?
145. Which of the following is the full factorization of ?
(A)
(B)
(C)
(D)
(E)
146. 6xy is the greatest common factor of and which of the following terms?
(A)
(B)
(C)
(D)
(E)
147. is the product of and what binomial?
(A)
(B)
(C)
(D)
(E)
148. If is factored out of , by which of the following binomials will it be multiplied?
(A)
(B)
(C)
(D)
(E)
149. is the full factorization of which of the following trinomials?
(A)
(B)
(C)
(D)
(E)
150. Which of the following terms is a factor of ?
Select all that apply.
(A)
(B)
(C)
(D)
(E)
151. The trinomial is the square of which of the following binomials?
(A)
(B)
(C)
(D)
(E)
152. What is the greatest common factor of and ?
(A)
(B)
(C)
(D)
(E)
153. Which of the following binomials is a factor of ?
(A)
(B)
(C)
(D)
(E)
154. Which of the following is NOT a factor of ?
(A) 1
(B)
(C)
(D)
(E) 2
155. Which of the following is the simplified form of this expression?
(A)
(B)
(C)
(D)
(E)
156. Which of the following is the simplified form of the expression ?
(A)
(B)
(C)
(D)
(E)
157. Which of the following is the simplified form of this rational expression?
(A)
(B)
(C)
(D)
(E)
158. Which of the following is equal to this rational expression?
(A)
(B)
(C)
(D)
(E)
159. Which of the following is the simplified form of this expression?
(A)
(B) 2
(C) 16pq
(D) –2
(E) 2pq
160. Which of the following represents this expression in simplified form?
(A)
(B)
(C)
(D)
(E)
161. Which of the following is the simplified form of ?
(A)
(B)
(C)
(D)
(E)
162. Which of the following is this expression in simplest form?
(A)
(B)
(C)
(D)
(E)
163. Which of the following is the value of this expression?
(A) –1
(B) 1
(C)
(D)
(E)
164. Which of the following has the same value as ?
(A)
(B)
(C)
(D)
(E)
165. Which of the following is the rational expression in simplest form?
(A)
(B)
(C) p + 2
(D)
(E)
166. Which of the following is the simplified form of this rational expression?
(A)
(B)
(C) 3mn
(D)
(E) 3n
167. Which of the following is the simplified form of this expression?
(A)
(B)
(C)
(D)
(E)
168. Which of the following is this expression in simplest form?
(A)
(B)
(C)
(D)
(E)
169. Which of the following is the value of the expression ?
(A) 7ab
(B) 7a
(C)
(D) 7b
(E)
170. What is the value of if ?
(A) –5
(B) 1
(C) 2a
(D) –1
(E) 5
171. What is the value of this expression if , , and ?
(A) –8
(B) 103
(C) 64
(D) 36
(E) –71
172. What is the value of if and ?
(A) 72
(B) –12
(C) 54
(D) 68
(E) –45
173. If , , and , what is the value of ?
(A) 42
(B) 24
(C) –34
(D) 7
(E) 17
174. What is the value of this expression if , , , and ?
(A)
(B)
(C)
(D) 26
(E)
175. What is the value of this expression if , , and ?
(A) 24
(B) 15
(C) –2
(D) 28
(E) –31
176. If , , and , what is the value of ?
(A) 45
(B) 40
(C) 58
(D) 19
(E) 34
177. If and , what is the value of ?
(A)
(B)
(C)
(D) 1
(E)
178.
