Tests.com Format Comparison Chart
Features & Benefits
Online Format
Format
New Questions / Updates YES. With the Online Format, get new question & updates in real time.
NO
Study Mode YES. Optionally test with instant prompts for incorrect answers & explanations of correct ones.NO
Section / Topic Selection YES. Choose whole test or practice by the section.NO
YES. Optionally simulate actual test conditions. TestSIM™ is easy and flexible
to use.
NO
YES. With TestNOTES™, you have option to type notes for any question for
instant reinforcement & later review.
NO
YES. Our Focus Flash Cards™ online study system allows you to customize
study by time, section(s) and more. Create/share your own too.
NO
Focus Question Format YES. Focus on 1 question at a time. Example.NO
Customize TestingPreferences YES. Set the number of questions and time limit OR simulate your actual exam. Example.
NO
Instant Scoring & Review YES. The Online format automatically scores your testing.NO
Reports / History / Stats YES. View results and track progress in real time. Example.NO
Future Testing Needs YES. Only the online test system format will provide you access your tests and test history from anywhere for life.NO
Expert Written by Leaders in Test Preparation
YES. Our practice exam kit was written by an expert with strong experience, education and credentials. Our test prep is so good we have a 1% return rate
compared to an 8% industry avg. 1 million+ tests served.
YES
Get an Edge YES. Our material represents an objective assessment and study source which compliments other study materials and gives you an edge.YES
Support to Succeed YES. Registered Users get service & support to pass the first time. Our authors, peer reviewers, editors and tech support are on your team.
YES
Convenience &Study Features YES. Only the Online Format system scores, reports and customizes your testing automatically and has bonus flash cards to use, create and share.
NO
Login for the Online Format
_________________________________________
Practice Test for the TEAS VI
Mathematics
__________________________________________
Published by Tests.com LLC
PO Box 232
Lititz, PA 17543
www.Tests.com
ISBN: 978-1-938967-41-2
Copyright © 2013-2017 Tests.com LLC
All rights reserved. No part of this publication may be reproduced, distributed or transmitted in
any form or by any means without the prior written permission of Tests.com LLC. Published in
electronic format in the United States of America.
Contributing Authors:
Adel Arshaghi is a mathematics instructor who has taught mathematics at both the high school
and college levels for over 10 years. He has his Master of Science degree in Mathematics
Education from East Tennessee State University.
Curriculum Management Group is a company specializing in mathematics and science
educational publishing.
Lydia Wieberg is a high school math teacher in Emporia, Kansas. She also teaches math to
nursing students at Allen Community College. She holds Bachelors degrees in mathematics and
secondary education from Kansas State University.
Table of Contents
Review of the TEAS VI ... 1
Practice Exam Questions
Section 1 – Numbers and Operations ... 8
Section 2 – Algebra ... 51
Section 3 – Data Interpretation ... 64
Section 4 – Measurements ... 81
Section 5 – Geometry ... 90
Practice Exam Answers ... 97
Practice Exam Questions with Answers ... 135
Test Preparation and Test Taking Tips ... 261
Review of the TEAS VI
A career choice to become a registered or practical nurse may be right for you. Nursing
professionals are consistently listed as one of the most respected and trusted professions in the
country. And, importantly, job security is rarely an issue for a nurse. In most areas of the
country, there are reports of nursing shortages. To become a nurse, one must go to nursing
school and pass a professional exam. Many nursing schools require their applicants to take the
Test of Essential Academic Skills (TEAS). As of August 31, 2016, the TEAS will be based on the
Sixth Edition of TEAS Study Manual. This review discusses the requirements of the TEAS VI.
Education for initial licensure as a registered nurse is provided through diploma
programs, such as community/or junior colleges offering an associate degree in nursing (ADN)
and colleges offering a bachelors degree in nursing (BSN). Most colleges require students who
apply for admission to registered nursing, practical nursing and dental hygiene programs to
participate in pre-admission testing prior to the admissions deadline for the respective
program.
The TEAS is an aptitude test. It is a four-part assessment developed by Assessment
Technologies Institute LLC (ATI). It includes reading comprehension, mathematics, science and
English exam sections. The exam is calibrated to the 10
thgrade - 12
thgrade level. Nursing
programs use the TEAS as a tool to evaluate the academic readiness of candidates prior to
admission into the nursing program. Test results are used in admission determinations. The
exam assesses the candidate’s ability to respond and apply knowledge to new situations and to
understand complex technical material and relationships. The results also provide
documentation useful for counseling and advisement.
Some nursing schools also use the TEAS as a placement exam. The exam can identify
students who struggle in certain areas but have the potential to be excellent nurses. Students
can receive remediation in their weak areas to improve their skill level and increase the chance
of success in nursing school.
1. Exam Background and Scoring
The TEAS consists of a total of 170 multiple choice questions and approximately 3 ½
hours is given to complete the test. Only 150 of the questions are scored and 20 are unscored
pretest items. The TEAS is administered in either a computer based format or a paper and
pencil based format. The TEAS is not a pass or fail test. Students completing the TEAS exam are
encouraged to earn a proficient score or higher in the ATI Academic Preparedness Category if
applying to nursing. Each school has their own cut off scores. The TEAS score report does not
indicate whether a candidate has passed or failed the exam. That means there is no passing
score determined by ATI. Nursing schools have their individual cutoff scores for admission
purposes and to maintain their standards. You will have to check with the nursing schools to
find out their cutoff score.
The TEAS score report gives a detailed description of a test-takers performance on the
test. The following scores are given in ATI’s TEAS score report:
1.
Adjusted Individual Score
2.National mean
3.
Program mean
4.
Percentile rank – National
5.Percentile rank – Program
The scores for all the content areas of the four test sections are also given. Hence, the score
report of TEAS is extremely descriptive. It gives nursing schools a chance to view your overall
performance in relation to others.
Whether a certain score is sufficient varies from one nursing school to another. As
stated above, nursing schools set their own cutoff TEAS scores for admissions. Most schools
have their cutoffs set around 70% for English, math and science and around 80% for reading
comprehension. However, the weight given to each subject score can vary for each nursing
school.
Some nursing schools lay more emphasis on the national percentiles while others give
more weight to the scores in science and math. The TEAS score report makes it possible to
judge the applicant from various angles. Nursing schools may not publically disclose how they
weigh the scores. Therefore, it is essential to score well in all sections of the test.
2. Exam Content
The TEAS has four sections: English, math, science and reading comprehension. Each
section will be discussed in some detail.
English and Language Usage
The English sub-test measures knowledge of grammar, sentence structure, punctuation,
contextual words and spelling. The time given to take this section is 28 minutes. It has a total
of 28 testing items, 24 of which are scored.
It is imperative to test the language skills of students since it is the most common
medium of exchange of ideas not only in education but also in your profession. In order to
succeed in the coursework it is most essential to understand the language in which the
instruction is carried out. Moreover, the study and the profession involve a great amount of
interaction among many people. A good understanding of grammar and proper usage of English
makes the journey smoother since it facilitates understanding and results in effective
communication. The English section is essential to judge the basic communication skills of
candidates aspiring to undertake nursing studies.
Mathematics
The math sub-test covers rational numbers, metric conversions, fractions and decimals,
algebraic equations, percentages, ratio/proportions and geometry. This section of TEAS has 36
testing items, 32 of which are scored. The section must be completed in 54 minutes.
These questions test the basic mathematical skills possessed by students. It is essential
to evaluate these skills since the work of nurses involves the use of math and requires precision
and accuracy. The math problems on the test do not involve difficult concepts; instead only
basic knowledge is required. The testing center will provide a four-function calculator.
Science
The science portion of the exam covers human anatomy and physiology, the life and
physical sciences and scientific reasoning. There are 53 testing items, of which 47 are scored.
The time given to complete the test is 63 minutes.
Candidates are required to have a basic knowledge in science since many of the courses
a nursing student will face involve science. The profession of nursing involves study of such
subjects as well as keeping in touch with the latest developments in the field.
Reading Comprehension
The reading comprehension sub-test covers passage comprehension, craft and structure
and the integration of knowledge and ideas. The reading section of TEAS contains 53
multiple-choice questions, of which 47 are scored. You will have 64 minutes to complete this section of
the test.
This section is composed of many different types of written communication and requires
the student to answer questions based on a reading and analysis of the material. The material
will be presented various forms, such as in paragraph format or classified ads, blog entries and
opinion pieces. It may incorporate graphs and illustrations. The test requires students to
understand a given text in different ways. Some questions will deal with literal understanding.
Other questions will require students to draw inferences and form conclusions using their
logical reasoning abilities. Students will be asked to differentiate between fact and opinion,
strong and weak arguments and to integrate data from various sources to form conclusions
about the author’s purpose and perspective. Students should bear in mind that they have to
answer the questions only according to the information given in the passage and not by
referring to any information outside the exam.
3. Applying for the Exam
Students must register with ATI prior to scheduling to take the TEAS. Scheduling is not
permitted without pre-registering. Log on to www.atitesting.com. Click Create New Account
and complete the user information page. The TEAS is given at PSI testing centers across the
country.
You must register for the exam keeping in mind the time required for the results to reach
the schools you are applying to. There could be specific deadlines declared by the schools;
check with the schools before you register. The retesting conditions are also decided by the
schools you apply to and you should weigh your retest options also before you register for
TEAS. Early registration is recommended as test centers tend to get booked quickly.
4. How to use Tests.com to Study
Start early and schedule your studying over the days, weeks and months during which
you plan to study. If you have a detailed study schedule, you can reach your goal in time. Taking
the practice test is the first part of the study plan. You should also review reference books, and
text books, class notes, study guides and flashcards in your study regimen.
Use either Tests.com’s online interactive platform (TESTSIM) or the ebook (PDF) to take
the practice test. If you are using the ebook make copies of the bubble sheet that is found at
the end of the test so that you can conveniently track your answers. The TESTSIM online
platform allows you to fashion a simulated test as to time and number of questions, so you can
get similar testing conditions that you will face on test day. Taking the Tests.com practice test
will allow you to assess your strengths and weaknesses as well as determine how much of the
material you are familiar with. It’s important to vary the methods you use in studying so that
the process keeps you engaged and interested. This includes practicing your test taking skills.
Limit yourself to a certain time period for a certain number of questions randomly selected. It’s
recommended you do this a few times throughout your preparation period. A few days before
the actual test, retake the practice test to evaluate your grasp of the material.
5. Planning for Exam Day
You should plan to arrive at least a half hour prior to testing time to allow for check in.
You need to go to www.atitesting.com and register as a user. You must bring your User Name
and Password that you have chosen to be able to take the computer-based exam. A picture
ID with your signature is now required. (Acceptable ID's are an unexpired drivers license or
passport). You will need to know or bring your social security number. You will need to bring
two #2 pencils if you are taking the paper formatted exam. Calculators are not allowed. All cell
phones or any other electronic device is not allowed.
6.
After the Exam
Your official test scores will be available upon completion of the test. You can access
your test scores via the ATI Testing Web site (www.atitesting.com) at any time after the
exam. You can request that copies of your TEAS scores be sent to other universities.
7.Conclusion
Taking the TEAS is the first step towards a promising career in nursing. It is important to
study for the test to do well. The test content deals with subjects candidates may not have
seen since 10
thgrade. Therefore, a refresher course is necessary. The Tests.com practice test is
engineered to provide a thorough study of the subjects tested on the TEAS. If you start
studying for the exam well in advance of the test., follow a study plan and work hard to prepare
yourself, you will do well.
TEAS Practice Exam – Math - Section 1
Numbers and Operations
1. 1/4 + 2/8 = a. 3/12 b. 3/4 c. 5/4 d. 1/2 2. 4 x 3/7 = a. 1 b. 3/7 c. 1 5/7 d. 12/28 3. 5/6 x 3/4 = a. 5/8 b. 8/10 c. 15/10
d. None of the above.
4. 348 ÷ 6 = a. 48 b. 58 c. 68 d. 74 5. 8 – 3 x 4 + 9 = a. 5 b. - 5 c. 65 d. - 65
6. 18 – 23 + 99 ÷ 3 = a. 28 b. 285 c. 105 d. 37.3 7. – 33 – 5 x 1 = a. 39 b. 38 c. - 38 d. 1 8. 2/3 ÷ 4/5 = a. 3/5 b. 5/6 c. 6/8
d. None of the above.
9. 36 ÷ .4 = a. 9 b. 40 c. 90 d. 144 10. .08 + 7 x 9 = a. 63.08 b. 62.73 c. 63.72 d. 62.37
11. Which of the following is equivalent to 425%? a. .425
b. 4.25 c. 42.5 d. 425
12. Terry has a basket full of various fruits. There are 12 pieces of fruit, and of those, two are bananas. What fraction of fruits is bananas? Express in simplest form.
a. 1/6 b. 2/12 c. 1/4 d. 1/3
13. What decimal is equivalent to ¾? a. .34
b. 3.4 c. .75 d. 1.25
14. Which of the following is equivalent to ½? a. 50%
b. .5 c. 3/6
d. All of the above
15. Which of the following is equivalent to .6? a. 1/6
b. 3/5 c. 6/100 d. 6/60
16. Three friends have some money in their pockets. Anna has $1.24, Sara has $12.40, and Timmy has $2.42. Later in the day, Anna found 3 dimes on the ground and Timmy’s dad gave him a dollar bill and a quarter. Sara paid for ice cream for the 3 of them and spent $9.24. Who has the most money at the end of the day?
a. Anna b. Sara c. Timmy
17. In Science Hill High School, 45% of students are female. What fraction of the students is male? a. 11 25 b. 13 20 c. 11 20 d. 9 20
18. Two fifths of the members of a Literature Club are published writers. What percent of the members are not published writers?
a. 25% b. 40% c. 60% d. 65%
19. If 25% of A is equal to 48, then what is 2 3 of A?
a. 124 b. 128 c. 142 d. 122
20. Barbara purchased three shirts each for $12.54, and two pairs of shoes each for $29.98. How much did she pay in total for these items?
a. $78.97 b. $87.79 c. $97.58 d. $99.85
21. John’s annual salary in the year 2010 was $48,560.45 and in the year 2011 was $48,321.55. What is the difference between his monthly salary in years 2010-2011, to the nearest hundredth?
a. $19.19 b. $19.91 c. $91.19 d. $29.91
22. Which of the following is a correct statement? a. 5.26 > 25.6
b. 12.124 < 12.214 c.
d.
23. Select the correct ordering of the numbers in increasing order. a. 3, -3, .3, -.3
b. .3, 3, -3, -.3 c. -3, -.3, .3, 3 d. 3, .3, -.3, -3
24. Select the correct ordering of the numbers in decreasing order. a. -.41, -.23, -.203, -.198
b. -.198, -.203, -.23, -.41 c. -.198, -.203, -.41, -.23 d. -.203, -.198, -.23, -.41
25. Tommy and Dillon each ordered a pizza. Tommy ate half of his pizza, and Dillon ate one-third of his pizza.
Tommy Dillon
Which inequality represents who ate more pizza?
a. b. c. d.
26. Lily has to give her daughter 8 mL of cough syrup at 9:30 a.m. each morning. The doctor prescribed her a bottle of 120 mL. How many days will Lily be able to give her the cough syrup before needing a refill?
a. 13 days b. 14 days c. 15 days d. 16 days
27. Tammy is trying to figure out her bank account balance by filling in her check register. On Monday, she spent $12.87 going out to lunch, and then another $2.79 for ice cream. On Wednesday, she deposited a check for $25 dollars. Finally, this morning, she filled up her gas tank for $28.35. If her bank account had $129.23 Sunday night, what is her account balance now?
a. $-19.01 b. $110.22 c. $69.01 d. $19.01
28. There is a big sale at the computer store. The computer that Tom has been wanting is on sale for 25% off. If he paid $107.00 after tax, what was the original price? Tax is 7%.
a. $142.67 b. $133.33 c. $100.00 d. $400.00
29. A softball player hits 2 out of every 7 times at bat. At this rate, how many times will she get a hit if she went up to bat 28 times?
a. 2 b. 8 c. .5714 d. 28
30. A light bulb factory produces 1 defective light bulb for every 1,500 light bulbs. In one week, the factory produces 30,000 light bulbs. How many are expected to be defective?
a. 0 b. 2 c. 10
31. A newspaper reported that 15% of high school students are in band. A local school district has 1,825 students in the elementary, 1,230 in the middle school and1,680 students in the high school. How many students are expected to be in the band?
a. 15 students b. 250 students c. 252 students d. 643 students
32. Micah runs 3 hours every 4 days. At that rate, how many hours will Micah run in 2 weeks? a. 12
b. 10.5 c. 1.5 d. 9
33. Every patient that goes into surgery has a chance of complications. If 1 in every 25 patients has some form of complications, how many patients are expected to have complications if 425 patients go into surgery?
a. 17 patients b. 25 patients c. 20 patients d. 15 patients
34. In a basket of fruits, there are 12 bananas, 7 peaches, 18 apples and 6 oranges. What is the ratio of apples to oranges?
a. 3:1 b. 12:7 c. 1:3 d. 2:3
35. If 24% of the expression (m + 2n) is 48, then what is 25% of (m + 2n)?
a. 40 b. 48 c. 50 d. 56
36. John spends 12% of his salary on groceries each month. If his monthly salary is $3400, how much does he spend on groceries?
a. $448 b. $424 c. $412 d. $408
37. In the Global Auction Market, an oak rocking chair valued at $4200, sold for $9400. What is the percent of increase in the value of the chair?
a. 103.81% b. 111.38% c. 113.18% d. 123.81%
38. A student paid an auto insurance premium of $360 for six months. Then the premium dropped to $320. Find the percent of decrease in the premium.
a. 11.11% b. 12.21% c. 14.11% d. 21.11% 39. If 28% of 20% of A is 420, what is A? a. 7500 b. 7700 c. 7850 d. 8500
40. A washing machine is marked down 32% from its original price of $450. What is the sale price of the washing machine?
a. $360 b. $306 c. $300 d. $266
41. A carpet is on sale for $198. The regular price of the carpet was $264. What is the markdown on the price of the carpet?
a. 32% b. 29% c. 27% d. 25% 42. A is 29% of 2900, and B% of 290 is 29. What is A + B? a. 812 b. 831 c. 841 d. 851
43. On the first day of the month, the original price of a sofa, which was $304, was marked down 15%. The following day, the discounted price was marked down 12%. What is the marked down price on the second day?
a. $227.39 b. $244.43 c. $264.23 d. $268.43
44. John wanted to purchase 3 CD packages and 5 rolls of film. If the price of each CD package is $12.82 and the price of each roll of film is $8.21, how much does it cost to purchase these items?
a. $88.51 b. $79.51 c. $76.15 d. $67.51
45. Add 2.3 times 3.2 to 2
3 the sum of 23 and 32.
a. 48.33 b. 46.33 c. 44.03 d. 42.03
46. A grocery store sells 12 cans of soda for $6.24 and 6 cans of soda for $3.92. How much less expensive per can is it if you buy 12 cans?
a. $0.23 b. $0.13 c. $0.11 d. $0.10 47. To make 43 5 cakes, 2 3
3 pounds of flour is needed. How much flour is needed to make one cake?
a. 0.08 pound b. 0.68 pound c. 0.78 pound d. 0.80 pound
48. Given A and B below, what is the sum of A and B?
A =
1 1 1 + 3 2 3 2 B = −
1 1 1 3 2 3 2 a. 1 3 2 b. 1 3 12 c. 1 7 2 d. 1 12 249. In the process of film development, photographers use a chemical called “stop bath.” A photographer used 22
3 bottles of stop bath for the first group of rolls of film and 2 4
3 bottles of stop bath for the second group of rolls of film. How much stop bath did he use for all of the rolls of film? a. 2 9 3 b. 1 9 2 c. 1 7 3 d. 1 6 4
50. The sum of which numerical expression has the greatest whole number part? K = 2 1 3 + 2 3 4 L = 13 6 1 + 1 3 4 M = 8 + 210 3 4 N = 1 1 5 + 3 3 2 a. K b. L c. M d. N
51. Given A, B, and C below, find A + 2B − 3C. A = 5 3 7 B = 2 1 5 C = 1 3 a. 13 8 35 b. 3 6 35 c. 18 5 35 d. 1 5 21
52. A house built on ground sank every year according to the following list: 2008: 2 3 in. 2009: 1 7 in. 2010: 1 5 in. 2011: 1 5 in.
In which of the following combination of years did the house sink the most?
a. 2008 and 2009 b. 2009 and 2010 c. 2010 and 2011 d. 2008 and 2011
53. The sum of which list of numbers is greatest?
A: Even whole numbers between 24 and 34 B: Odd whole numbers between 23 and 33 C: Even whole numbers from 24 to 34 D: Odd whole numbers from 23 to 33
a. A b. B c. C d. D
54. Michelle’s income and spending for the first four months of the year are given in the table below. In which two months was her savings the highest?
Month Income Spending
January $3420 $2970 February $2927 $2212 March $3189 $3020 April $3024 $2730 a. January and February
b. February and March c. March and April d. January and March
55. Casey went to a supermarket with $65 in his wallet. He wanted to purchase some sodas and potato chips. Here are the prices after taxes were added to the sale price:
A case of Soda: $6.00 A bag of potato chips: $3.00
His money would be sufficient to purchase which of the following:
a. 9 cases of soda, and 4 bags of potato chips b. 7 cases of soda, and 5 bags of potato chips c. 6 cases of soda, and 11 bags of potato chips d. 4 cases of soda, and 15 bags of potato chips
56. A, b, c, and d are whole numbers such that a = 2b and b = 2c. Which expression is definitely a whole number? a. 2 a b c+ + b. 2 8 a b+ + c c. 2 10 a b+ + c d. 2 12 a b+ + c 57. The ratio of a to b is 2
3 and the ratio of c to b is 2
15. What is the ratio of a to c?
a. 14 3 b. 14 5 c. 5 d. 3
58. The dimensions of the rectangle ABCD are proportional to the dimensions of the rectangle KLMN. Given the following measurements, find the length of the rectangle KLMN.
AB = 12 in. and BC = 9 in. Width LM = 18 in.
a. 32 in. b. 24 in. c. 20 in. d. 16 in.
59. Which statement is true given the proportion a c= b d ? a. a c= d b b. d b= a c c. c b= d c d c= b a
60. Which of the following quantities has the highest rate of change?
a. Increase of the height of Michelle from 98 cm at the age of 9 to 108 cm at the age of 14 b. Increase of the height of Sarah from 74 cm at the age of 7 to 92 cm at the age of 11 c. Increase of the height of Joanne from 56 cm at the age of 6 to 82 cm at the age of 10 d. Increase of the height of Alison from 52 cm at the age of 5 to 108 cm at the age of 14
61. The price of land in Jonesboro has been constantly increasing since the year 2001 at the same rate. The price of an acre in 2001 was $420 and, in 2011, it was $540. What is the rate of change per year?
a. $18.00 b. $17.00 c. $12.00 d. $11.00
62. Given x = 3.24, y = 2.23, and z = 3.42, what is the value of xyz(x + y + z) to the nearest tenth?
a. 251.3 b. 219.7 c. 205.5 d. 201.2
63. The plastic bags are supplied with three types of thickness as follows: Light weight: 0.002 in.
Regular weight: 0.0025 in. Heavy weight: 0.003 in.
What is the thickness of the stack of 65 light weight, 34 regular weight, and 54 heavy weight bags rounded to the nearest thousandth inch?
a. 0.272 in. b. 0.377 in. c. 0.389 in. d. 0.477 in.
64. Given m = 3.2, n = 2.2, and p = 2.1, what is the value of + -m n mnp
n p to the nearest tenth?
a. 798.5 b. 789.3 c. 798.5 d. 798.3
65. Given A = 0.035, B = 0.0053, and C = 0.55, round the result of the product (A + 0.25)(B + 0.35)(C + 0.45) to the nearest hundredth.
a. 0.10 b. 0.11 c. 0.15 d. 0.16
66. The sides of the triangle ABC are as follows: AB = 2.34 in.
BC = 4.034 in. AC = 5.0034 in.
Each side of the triangle MNP is twice the corresponding side of the triangle ABC. Round the sum of the perimeters of these triangles in inches.
a. 30 in. b. 31 in. c. 32 in. d. 34 in.
67. Which of the following formats of subtraction is arranged properly using the regrouping method for 9415 − 4786? a. 8 13 11 15 9 4 1 5 4 7 8 6 − b. 8 12 10 15 9 4 1 5 4 7 8 6 − c. 8 13 10 5 9 4 1 5 4 7 8 6 − d. 8 13 10 15 9 4 1 5 4 7 8 6 −
68. Which subtraction can be performed using the regrouping method?
a. 43,0987 − 34,0765 b. 20,007 − 10,003 c. 34,087 − 32,986 d. 54,983 − 44,572
69. John owned a tract of land with an area of 33,456 ft2. He sold 29,657 ft2 of the land. How much
land is left?
a. 3799 ft2
b. 3898 ft2
c. 3978 ft2
d. 3988 ft2
70. The volume of gasoline in a tanker dropped from 9468 gallons to 7569 gallons after pumping gasoline to the reservoir of a gas station. How much gasoline did the tanker pump into the reservoir?
a. 1879 gallons b. 1899 gallons c. 1989 gallons d. 1999 gallons
71. Convert 2πto a decimal number rounded to the nearest ten-thousandth.
a. 6.2832 b. 6.3832 c. 6.6821 d. 6.8861
72. The circumference of an irregular closed curve is determined using the formula = 3π +π 3
C d,
where d is the longest distance between two points on its circumference. If d = 3 feet, find the circumference of this closed curve, rounded to the thousandths.
a. 14.556 ft2
b. 12.566 ft2
c. 10.862 ft2
d.
10.266 ft273. What year is the Arabic numeral MMXII? a. 2008
b. 2009 c. 2011 d. 2012
74. Which numeral represents the Roman expression XXXI + XXIV? a. 55
b. 52 c. 45 d. 43
75. John was born in the year MCMXLIX. Convert his birth year to an Arabic Numeral. a. 1848
b. 1884 c. 1944 d. 1949
76. Which expression represents 70 + 80 + 90? a. LX + LXX + LXXX
b. LXX + LXXX + LXXXX c. LCX + LXXX + LXXX d. LXX + LCXX + LXXX
77. Ronald earns $3225 per month. 12% of his salary is withheld for income tax. Find the amount of his take home per month.
a. $2883 b. $2838 c. $2787 d. $2778
78. Jason pays 24% of his earnings per month for his home installment. If his income is $4225, how much does he take home after paying the installment?
a. $3211 b. $3121 c. $3112 d. $3011
79. The following list shows the salaries of four people along with their total deductions for each month. Which one has the greatest take-home amount?
a. Salary = $3402; Total Deduction = 14% b. Salary = $3150; Total Deduction = 15% c. Salary = $3655; Total Deduction = 17% d. Salary = $4455; Total Deduction = 24%
80. Jane’s monthly income in the year 2010 was $48,200, where 14% of her salary was withheld for income tax. In the year 2011, her monthly salary was $51,800, where 16% of her income was withheld for income tax. What was her average take home pay during the years 2010-2011?
a. $48,482 b. $46,486 c. $44,462 d. $42,482
81. The price of one bottle of soda in a grocery store is $0.85. But the store advertised that it will give a discount of 12% for any purchase of more than 8 bottles. What is the sales price of 12 bottles of soda?
a. $8.98 b. $8.68 c. $7.96 d. $6.86
82. A stereo system has an original price of $328, and a laptop computer has an original price of $420. A store advertised that for purchasing both a stereo and a laptop, it will give a 12% discount on the total purchase. What is the total sale price of a stereo and a laptop?
a. $658.24 b. $678.44 c. $687.24 d. $689.46
83. Different stores offer different prices and discounts for a chair and an ottoman as follows. Which store offers the best purchase price?
a. Store A: Original price = $580 with 11% discount b. Store B: Original price = $520 with 9% discount c. Store C: Original price = $490 with 7% discount d. Store D: Original price = $450 with 5% discount
84. The price of office supplies in a store are as follows: Pen: 24 cents
Pencil: 18 cents Notebook: $1.24 Paper pack: $3.92
Which equation can be used to calculate the total price of m pens, n pencils, p notebooks and q packages of paper?
a. 2.4m + 1.8n + 1.24p + 3.92q b. 0.24m + 0.18n + 12.4p + 3.92q c. 0.24m + 0.18n + 1.24p + 3.92q d. 0.24m + 0.18n + 1.24p + 39.2q
85. Rosie checked her checking account online at 8:00 AM and noticed that her account balance is $4,323. At 9:00 PM, she checked her account again and noticed that the following transactions were posted to her account. Find her final balance after reconciling these transactions:
Electronic withdrawal: $320 Electronic withdrawal: $22 Electronic withdrawal: $124 a. $3958 b. $3937 c. $3857 d. $3807
86. The balance of Aaron’s savings account at the beginning of the year was $3197. For six months he deposited $230 each month in his savings account. What is the balance after six months?
a. $4378 b. $4577 c. $4676 d. $4766
87. Carol had $4531 in her checking account before going on a trip. At the end of her trip she noticed that the following transactions were posted to her account:
Withdrawal: $437 Withdrawal: $291 Withdrawal: $29 Withdrawal: $37
Find her account balance at the end of her trip.
a. $3938 b. $3937 c. $3836 d. $3737
88. Jeanne had $2024 in her savings account at the beginning of April. By the end of the month she took the following amounts from her savings account:
$212 $102 $210
What is her account balance at the end of the month?
a. $1650 b. $1600 c. $1500 d. $1350
89. Russ usually writes checks on his checking account. During the month of May, he wrote checks in the following amounts:
$171 $47 $321 $117
If at the beginning of the month his account balance was $3739, what is the balance at the end of the month?
a. $3802 b. $3383 c. $3083 d. $3080
90. Which expression is equivalent to 3 + 4(9 − 3) + 11?
a. 3 + 4 × 9 − 3 + 11 b. 3 + 4 × 9 − 4 × 3 + 11 c. 3 + 4 × 9 + 4 × 3 + 11 d. 3 − 4 × 9 + 4 × 3 + 11
91. Which expression is the translation of “three times a quantity added to 12, divided by 12?”
a. (3 + 12x) ÷ 12 b. (3x + 12) ÷ 12 c. 3(x ÷ 12) + 12 d. 3(x + 12 ÷ 12)
92. What is the value of −4[3 − 4(8 + 1) ÷ 3 − 3] + 12?
a. 69 b. 63 c. 60 d. 57
93. To convert degrees Celsius to degrees Fahrenheit, multiply by 9, divide by 5 and add 32. Write a formula that represents these operations.
a. 9 5C + 32. b. 5 9C + 32. c. 32 5 C + 9. d. 32 9 C + 5.
94. What is the value of 4(29 − 19) ÷ 5 − 4 × 13?
a. − 49 b. −44 c. 48 d. 44
95. Mika is planning a trip that will cover 1232 miles. Her car gets 28 miles to a gallon. If the price of gas is $3.25 per gallon, determine the cost of gas during her trip?
a. $153 b. $148 c. $145 d. $143
96. Sandra purchased the following items for her Club meeting. 12 Packages of cookies each for $4.25 4 Baskets of fruits each for $12.50 42 Cans of soda each for $0.32 How much did she spend in all?
a. $114.44 b. $112.42 c. $104.42 d. $102.24
97. Wendy wants to invite a number of friends to an anniversary party at a restaurant. She would like to invite between 14-18 friends. She checked with different restaurants, and they offered the following packages. Which restaurant offered the lowest quote for each guest?
a. Restaurant A: $705 for 15 guests b. Restaurant B: $736 for 16 guests c. Restaurant C: $1020 for 20 guests d. Restaurant D: $1250 for 25 guests
98. Catherine is planning to make cookies for her grandchildren. She purchased the following items: 3 Pounds flour each for $1.23
2 Pounds Sugar each for $1.25 3 Packages of Butter each for $3.45 2 Gallons Milk for $3.25
How much did she spend in total?
a. $27.14 b. $25.04 c. $24.14 d. $23.04
99. Church Hill College is planning to invite 34 guests for a conference to be held during their
centennial anniversary. If the cost of daily meals of each guest is $21 and the conference is to be held for 3 days, what is the total cost of the meals?
a. $2414 b. $2214 c. $2142 d. $2042
100. Which list shows the following numbers from the smallest to the greatest? 1 3, 5 6, 4 5, 14 15 a. 1 3, 5 6, 14 15, 4 5 b. 5 6, 1 3, 4 5, 14 15 c. 4 5, 1 3, 5 6, 14 15 d. 1 3, 4 5, 5 6, 14 15
101. Three telecommunication companies plan to lay off some of their workers as listed below: Company A: 70 workers of its 210 workers
Company B: 30 workers of its 140 workers Company C: 80 workers of its 200 workers Company D: 60 workers of its 190 workers
Which company plans to lay off the highest fraction of it workers?
a. Company A b. Company B c. Company C d. Company D
102. Which list shows the following numbers from the greatest to the smallest? 7 9 11 23, , , 8 16 12 24 a. 11 12, 23 24, 7 8, 9 16 b. 7 8, 9 16, 11 12 c. 9 16, 23 24, 7 8, 11 12 d. 23 24, 11 12, 7 8, 9 16
103. In a Study Hall, the English teacher assigned four different novels to four different students. At the end of the first week, the following students had the following number of pages left to read:
Rachael: 130 pages Raymond: 132 pages Russ: 126 pages Regina: 144 pages
At the end of the month, the following pages remained unread. Rachael: 42 pages
Raymond: 24 pages Russ: 38 pages Regina: 56 pages
Which student left the largest fraction of the novel unread?
a. Rachael b. Raymond c. Russ d. Regina
104. Which are the two greatest numbers in the following list? , 17 7 11 1, , 32 12 24 6 a. and 17 32 b. 7 12 and c. 7 12 and 17 32 d. 7 12 and 1 6
105. Order the following numbers from the smallest to the greatest:
12.25, 3 11 5, 89 9 , 12.025 a. 89 9 , 3 11 5, 12.025, 12.25 b. 89 9 , 12.025, 12.25, 3 11 5 c. 3 11 5, 89 9 , 12.025, 12.25 d. 12.25, 89 9 , 3 11 5, 12.025 11 24 11 24
106. John worked the following number of hours per month during the first six months of the year. January: 197.34 hours February: 199.04 hours March: 212.34 hours April: 194.45 hours May: 194.54 hours June: 221.43 hours
List his monthly work-hours from the lowest to the highest in terms of months.
a. June, March, April, May, January, February b. June, March, April, January, May, February c. April, June, January, February, March, May d. April, May, January, February, March, June
107. Find the middle number among the following data? 321.243, , 321.432 , 322.254, 322.245 a. 321.243 b. 56 321 67 c. 321.432 d. 322.254
108. What is the difference between the smallest and the largest numbers in the following list?
230 23, 23.01, 17 a. 9.74 b. 9.48 c. 7.72 d. 7.47 56 321 67
109. Different schools reported the ratios of the female students to male students in different numerical formats as follows:
School A: 1.9 School B: 2 School C : 7 9 School D: 1.09
Which school has the highest fraction of female students?
a. School A b. School B c. School C d. School D
110. An Excel spreadsheet is set up in a way that by entering a fraction into a cell, it automatically converts it to a number with two decimal digits. The following numbers are displayed in a spreadsheet.
2.24, 3.25, 0.26
Which list represents the equivalents of these numbers?
a. 52 13 13 25 4 50, , b. 56 11 13 25 4 50, , c. 56 13 11 25 4 50, , d. 56 13 13 25 4 50, ,
111. Which list represents the equivalents of the following decimal numbers? 4.15, 4.65, 4.25 a. 83 25, 93 20, 17 4 b. , 93 20, 17 4 c. , 93 25, 17 4 d. , 97 20, 17 4
112. The dimensions of a rectangular tract of land are 23 7
12 ft. and 5 24
8 ft. Which fractions can be
used to find the area of the land?
a. 283 12 and 197 8 b. 281 12 and 197 8 c. 283 12 and 193 8 d. 283 14 and 197 8
113. Which list represents the equivalents of the following fractions?
84 35 14 35, , , 49 49 21 63 a. 12 7 , 5 7, 2 3, 5 9 b. 5 9, 12 7 , 5 7, 2 3 c. 11 7 , 5 7, 2 3, 5 9 12 5 2 7 83 20 83 20 83 20
114. The probabilities of four different events occurring are as follows: 0.32, 0.45, 0.55, 0.75
Which list represents these probabilities in simplest fractional form?
a. 7 25, 9 20, 11 20, 3 4 b. 8 25, 9 20, 17 20, 3 4 c. 8 25, 9 20, 11 20, 3 4 d. 8 25, 9 20, 13 20, 3 4
115. In which number does the digit 9 have the highest place value?
a. 3409008 b. 3490806 c. 3400908 d. 3400790
116. A physics teacher wrote 238,857 miles on the board as the distance between the moon and the earth. How is it expressed in words?
a. two hundred thousand thirty-eight, eight hundred fifty-seven b. two hundred thirty-eight, eight hundred fifty-seven
c. two hundred thirty-eight thousand, eight hundred fifty-seven d. two million thirty-eight, eight hundred fifty-seven
117. Which is the name of the number 45,600,006?
a. forty-five million, six thousand, sixty
b. forty-five million, six hundred thousand, sixty c. forty million, forty-six hundred thousand, six d. forty-five million, six hundred thousand, six
118. The exact distance between two islands in the Atlantic Ocean is 440,056 ft. What is the order of magnitude of this number?
a. 8 b. 7 c. 6 d. 5
119. The weight of a notebook is 8.23 oz. and the weight of each package of pencils is 4.23 oz. The weight of a box containing 24 notebooks and 24 packages of pencils can be calculated using the expression 24 × 8.23 + 24 × 4.23. Which expression is equivalent to this expression?
a. 24(34.81) b. 24(12.46) c. 8.23 + 101.52 d. 197.52 + 4.23
120. Which expression is equivalent to 3(12 − 1) + 4(13 + 2)?
a.
3 × 12 − 4 × 13 + 4 × 2 − 3 × 1b. 3 × 12 + 4 × 13 + 4 × 2 − 3 c. 3 × 12 + 4 × 13 + 2 − 1 d. 3 × 12 + 4 × 13 + 4 × 2 − 3 × 1
121. Which operation must be performed first when calculating (129 + 321 × 481 + 2)?
a. 129 + 321 b. 481 + 2 c. 481 × 2 d. 321 × 481
122. Which of the following equations is false?
a. 21 + (11 + 9) = (21 + 11) + 9 b. 21 × (11 + 9) = (11 + 9) × 21 c. 21 ÷ (11 + 9) = (11 + 9) ÷ 21 d. 21 × (11 − 9) = (11 − 9) × 21
123. In a horse race, Horse A beat Horse B by 2 lengths, and Horse B finished 3 lengths ahead of Horse C. By how many lengths did Horse C lose the race to Horse A?
a. 6 b. 5 c. 4 d. 3
124. In a school auditorium, there are 24 rows in the main floor and 11 rows in the balcony. If there are 19 seats in each row, which expression can be used to find the number of the seats?
a. 19(24) + 11 b. 19(11) + 24 c. 19(24 + 11) d. 19(24)(11)
125. Which of the following is the value of 4[12 + 3(1 + 5)] ÷ 41 4? a. 4 28 17 b. 1 28 17 c. 4 27 17 d. 7 26 17 126. If a truck carries a 23
4 tons load, how many pounds is it hauling, knowing that 1 ton = 2000
pounds?
a. 5250 pounds b. 5450 pounds c. 5500 pounds d. 5600 pounds
127. Which of the following is equivalent to
1 1 6 ÷ 3 4 8 ? a. 8 b. 7 c. 5 d. 2
128. The area of an irregular 4-sided shape is calculated using the formula 1 a b + c + d
(
)
3 , where a, b,
c and d are the side lengths. If, a = 3, b = 4, c = 31
4 and d = 6, which expression can be used to
calculate the area?
a. 13 4 6 4 + + b. 13 3 4 6 4 + + c. 1 4 13 6 3 4 + + d. 11 4 6 4 + +
129. What is the proper procedure to calculate
(
)
5 12 3 + 4 1 - 7 ÷ 312 ?
a. Simplify inside brackets, multiply by 12, then divide by the mixed number. b. Simplify inside parentheses, multiply by 12, then divide by the mixed number. c. Simplify inside brackets, multiply by 12 by the mixed number, then divide by 12. d. Simplify inside parentheses, multiply by 3 and 12, then divide by the fraction.
130. For a Physics Project, John designed a micro-tool in the shape of an irregular hexagon. He must also include in his report a general formula for the perimeter of the tool. After measuring the side-lengths repeatedly he found the side-lengths as, 2 mm, 4 mm, 8 mm, 16 mm, 32 mm, and 64 mm. If a is to be the shortest side of the tool, which of the following is a general formula for the perimeter?
a. 49a mm b. 51a mm c. 62a mm d. 63a mm
131. To calculate the division 7.73 ÷
7 7
3 , which set of the procedures can be used?
a. Convert the mixed number to a decimal, divide the decimals.
b. Convert the mixed number to a decimal, convert the decimal to a mixed number. c. Convert the decimal to a mixed number, then multiply.
132. Find x. 12[32 − 12(12 − 11) + 12] + 12 ÷ (21 − 17) = x a. 387 b. 368 c. 312 d. 268
133. In the US, about 4
5 of the residents are registered to vote. In one elections, 3
4 of the registered
voters actually voted. What portion of the citizens voted in this election?
a. 3 4 b. 1 4 c. 3 5 d. 1 5
134. Perform the following calculations:
( )
1.1 1 111 + 443 ÷ 574 a. 22 15 b. 23 15 c. 19 13 d. 17 13135. Calculate the following expression: 1 2 1 3 2 + 3 1+ 1 + 1 5 3 + 3 a. 9.3 b. 9.1 c. 8.9 d. 6.3
136. Cindy measures a side and a diagonal of a square-shaped garden, and after repeating the measurements, she found the following lengths:
Side length = 1200 ft. Diagonal length = 1690 ft.
Her friend suggests that if the side length is accurate, then the length of the diagonal must be adjusted in her calculation. Assuming the side length is accurate, which of the following measurements will replace the length of the diagonal if more precise calculations are made?
a. 1798 ft. b. 1789 ft. c. 1697 ft. d. 1679 ft.
137. The hypotenuse and the altitude of a right triangle are given as 4 ft. and 13 ft. A student measures the legs of the triangle and comes up with measurements of 12 ft. and 5 ft. To what number must the altitude be adjusted?
a. 5.82 ft. b. 5.62 ft. c. 4.81 ft. d. 4.62 ft.
138. Michelle wants to find some ordered pairs to fit in the equation y = 3x − 2. She created the following table: x y 3 7 5 13 7 19 8 21 11 31
Which value in the table must be adjusted in order to verify that the given function represents all the given values in the table?
a. 21 must be changed to 22 b. 21 must be changed to 26 c. 31 must be changed to 30 d. 31 must be changed to 33
139. A survey of a group of 300 people shows that 41.33% of the people preferred a twin size bed. Since the fractional part in the context (.33) of individuals may not make sense for a group or audience, how can you adjust the result to make it more sensible?
a. 41% b. 42% c. 45% d. 40%
140. An irregular shape is made up of four triangles with areas 143 ft2, 34 ft2, 56 ft2 and 122 ft2. What
operation is needed to find the area of the shape?
a. Multiplication b. Division c. Subtraction d. Addition
141. To express the value 0.32 as a percent what operation is needed?
a. Multiplication b. Division c. Addition d. Subtraction
142. Shannon can type 32 words per minute. To find out how many minutes it takes her to type 2341 words, what operation should be performed on these numbers?
a. Addition b. Subtraction c. Multiplication d. Division
143. Each ton is about 2000 pounds. To find out how many tons make up 4589 pounds, what operation must be performed using these numbers?
a. Multiplication b. Division c. Addition d. Subtraction
144. Which of the following is the best estimation of 2300 × 3209?
a. 7,360,000 b. 7,370,000 c. 7,380.000 d. 7,400,000
145. Mt. Whitney is 14,494 feet above sea-level and Rock Valley is 347 feet below sea-level. Which of the following is the best estimation of the difference in these elevations?
a. 14000 b. 14500 c. 15000 ft. d. 1480 ft.
146. Which is the best estimation of 45008
1505 ?
a. 30 b. 29.29 c. 29 d. 28.89
147. A submarine is submerging at the rate of 11 feet per second. Which is the best estimate of its distance from the surface of the ocean after 39 seconds?
a. 440 ft. b. 400 ft. c. 385 ft. d. 380 ft.
148. To find a reasonable estimate of 330003
1129 , which fraction is the best choice?
a. 340000 1100 b. 330000 1100 c. 33000 1100 d. 330000 110
149. The thickness of each bag of wheat stacked in a silo is 9 inches. If in each column of the silo 43 bags are stacked, which of the following is a reasonable estimate of the height of the bags?
a. 300 in. b. 330 in. c. 400 in. d. 450 in.
150. To find a reasonable estimate of 1000.01 × 100, which expression is the best choice?
a. 10010 × 100 b. 1000 × 100 c. 1001 × 100 d. 1000 × 101
151. Which is a reasonable estimate of the total amount of the following coins, in dollars? 40 quarters 10 dimes 20 nickels 770 pennies a. $20 b. $19 c. $18 d. $17
152. Which ratio is proportional to 12
48? a. 7 24 b. 5 28 c. 7 28 d. 6 28
153. Which proportion is true?
a. 22 18 77 64= b. 11 18 77 63= c. 22 16 77 63= d. 22 18 77 63=
154. There are 3 teachers for every 38 students in Cherokee Middle School. If there are 798 students, how many teachers are at the Cherokee Middle School?
a. 63 b. 65 c. 76 d. 79
155. Which number must be placed inside the box 11 = 28 35? a. 12.25 b. 12.85 c. 13.25 d. 13.75
156. On weekends, 22% of customers of a restaurant are senior citizens. If during one weekend the number of customers of the restaurant were 1050, how many of them were senior citizens?
a. 213 b. 219 c. 231 d. 243
157. Let p and q represent the following simple statement: p is a number less than zero. q is a negative number. Which statement is true?
a. If p, then q. b. If q, then not p. c. If q but not p, then q. d. If q but not p, then q.
158. The following simple statements are given: p: Mika likes Ronald q: Ronald likes Mika. Which symbolic statement is true?
a. p q∨ b. p q∧ c. p q p∨ ∨ d. p q∨ →q
159. p and q define the following statements: p: John visited New York. q: John visited London.
Which statement represents “John visited New York or London, but not both at the same time?”
a. q→ ∨q p b. p q p∨ ∨ c. p q∧ d. p q∨
160. The following statements are given:
Elementary schools are closed on Sunday. It is Sunday.
Write a conditional statement by combining these statements.
a. If elementary schools are closed, then it’s Sunday. b. It is either Sunday or the elementary schools are closed. c. If it is Sunday, then the elementary schools are closed.
d. If the elementary schools are closed, then it may not be Sunday.
161. The following statement is given:
In any right triangle, the sum of two acute angles is 90º. Which triangle is a right triangle?
a. Triangle ABC, in which the difference of two angles is 90º. b. Triangle DEF, in which no angle is obtuse.
c. Triangle GHK, in which two angles are acute.
162. The following simple statements are given:
All members of a Literature club are published authors. John is a member of this club.
Which statement is true?
a. John is a publisher.
b. John may be both an author and a member of the club. c. John may be a published author.
d. John is a published author.
163. The following statements are given:
S = set of integers that are even and are divisible by 3. a is an even integer.
Which statement is true?
a. a is not definitely a member of S. b. a is not a member of S.
c. a may be a member of S. d. a is a member of S.
164. The following statements are given:
All the students in Algebra class are attending Geometry class. All the students in Geometry class are attending History class. John is in History Class.
Which statement is true?
a. John may attend Algebra and/or Geometry class(es). b. John is not attending Algebra class.
c. John is not attending Geometry class.
d. John is attending both Algebra and Geometry classes.
165. Which general formula can be used for all the numbers in the following series? 2, 6, 12, 20…
a. 2n(2n − 1) b. n(n - 1) c. 2n(n + 1) d. n(n + 1)
166. The sum 1 + 2 + 3 = 6 is simplified as 32 – 3 = 6 which means that the sum equals the square of
the last term minus the last term. Using this method, the sum 1, 2, 3, . . . , n
is generalized as n2 − n. Which number disproves this generalization?
a. 2 b. 3 c. 4
d. Both 2 and 4
167. A brick staircase is made up of 8 steps. The bottom step has 18 bricks, and each successive step has two less bricks. How many bricks are used in the staircase?
a. 88 b. 82 c. 76 d. 66
TEAS Practice Exam – Math - Section 2
Algebra
168. Solve 3x + 11 = 31 – x. a. 7 b. 5 c. 4 d. 2169. Sarah and her father together are 47 years old. If her father is 34 years old, what is Sarah’s age? a. 19
b. 17 c. 13 d. 11
170. The ratio of two numbers is 13. If the larger number is 1027, what is the smaller number? a. 79
b. 83 c. 87 d. 89
171. Solve the equation 5x − 11 = 39. a. 14
b. 13 c. 11 d. 10
172. The side-lengths of a triangle are described by x2 + x + 1, 3x − 2, and 3x2 + x. What is the
perimeter of the triangle? a. 4x2 + 5x − 1 b. 4x2 + 4x − 1 c. 4x2 + 5x + 3 d. 4x2 + 5x − 2 173. Subtract (3x2 + 1) from (4x3 + 2x2 + x). a. 4x3 − x2 + 2x − 1 b. 4x3 − 2x2 + x − 1 c. 4x3 − x2 + x + 1 d. 4x3 − x2 + x − 1
174. The dimensions of a rectangle are described by (x + 2) and (x + 3). Which of the following describes the area of the rectangle?
a. x2 + 5x + 5 b. x2 + 6x + 6 c. x2 + 5x + 6 d. x2 + 6x + 5 175. Add (x2 + x) to (8x3 + 2x2 − x − 1). a. 8x3 + 3x − 1 b. 8x3 − 3x2 − 1 c. 8x3 + 3x2 − 1 d. 8x3 + 3x2 − 2x
176. Write an equation: “value of x is two more than three times x.” a. 3x = x + 2
b. 3x = x − 2
c. x = 2 + 3x
d. x = 2 − 3x
177. Which of the following is the translation of the expression “The sum of 3 times a number and 3, added to 5 times the number?”
a. 8x + 3 b. 5x + 3 c. 8x + 5 d. 5x + 8
178. The sum of the right angle and an acute angle in a right triangle is greater than 123º. Which expression represents this relationship?
a. x + 90 < 123 b. x + 90 > 123 c. x + 123 > 90 d. x + 123 < 90
179. Which is the translation of the phrase “11 more than the triple of a number?” a. 11x + 3
b. 3x + 11 c. 3(x + 11) d. 3x + 33
180. Which of the following is the solution to the equation |x + 12| = 25? a. 12 or 37
b. 17 or 33 c. 13 or −37 d. −13 or 37
181. The temperature on the surface of Mars fits the inequality C + 85 56≤ , in degrees Celsius. What is the range of the temperature?
a. −29 ≤ C ≤ −141 b. 29 ≤ C ≤ 141 c. 141 ≤ C ≤ 29 d. −141 ≤ C ≤ −29
182. Which is the solution set to the inequality x+ 5 >16? a. x > −11 or x < −21
b. x > 11 or x < −21 c. x < 11 or x < 21 d. x < 11 or x < 21
183. A physician who has practiced medicine for over 20 years realizes that more than 92% of the babies he delivered weighed p pounds such that p - 7 2 . What is the range of the weights of ≤ the babies?
a. 9 p≥ ≥ − 5 b. 9 p 5≥ > c. 9 p 5> ≥ d. 9 p 5≥ ≥
184. Solve the equation 3x + 11 = 51 − x. a. 12
b. 10 c. 6 d. 2
185. The length of a rectangle is 12 ft. longer than twice its width. If the total length of a width and a length is 44 ft., what is the measure of a width?
a. x = 22 ft. b. x = 19 ft. c. x = 18 ft. d. x = 16 ft.
186. Solve the inequality 5x − 19 > 3x + 33. a. x > 26
b. x > 28 c. x < 26 d. x < 28
187. If the radius of a circle is doubled, how will its area be changed? a. Increase two times.
b. Increased four times. c. Increased by two. d. Increased by four.
188. If x in x(22 − 19) is tripled, how much is the value of the expression changed? a. Will Increase by 6x
b. Will increase 6x times c. Will increase by 8x d. Will increase 8x times
189. If x in the expression 12(x + 3) + 9 is increased by 9, how will the value of the expression be changed?
a. Will be increased by 132 b. Will be decreased by 132 c. Will be increased by 126 d. Will be decreased by 126
190. A side-length of a square-shape pool is 44 ft. If its length extended to 48 ft., how much will its area be increased?
a. 466 ft2
b. 468 ft2
c. 386 ft2
d. 368 ft2
191. If x in the expression 3(x + 9) − 12 is decreased by 9, how much will the value of the expression be changed?
a. Will be decrease by 62 b. Will be decreased by 51 c. Will be decreased by 43
192. To solve equations such as 3.23x + 4.12 = 1.19 − 21.8x, which step must be followed first in order to make the solution easier?
a. Remove the decimal from the left side. b. Cancel the decimals.
c. Multiply all the terms by 10 d. Multiply all the terms by 100.
193. To solve the equation x= 34
5 9, what step must be taken first? a. Divide the fractions by 45.
b. Multiply the denominators by 45. c. Cross multiply the proportion.
d. Change the mixed number to an improper fraction.
194. To solve equations such as 1 x + 5 1=
18 12 6, which step must be followed first in order to make the solution easier?
a. Move 1
6 to the left side. b. Add 1
6 to the left side. c. Multiply all the terms by 36. d. Divide all the terms by 36.
195. What are two different methods to verify that 24 3=
32 4?
a. Division and Reducing
b. Cross-multiplication and Reducing c. Multiplication and Reducing d. Cross-multiplication and Division
196. The equation 12 = 6(3 + x) is obtained from the equation 12 − 3(3 + x) = 3(3 + x), using algebraic operations. How is the expression (3 + x) doubled on the right side?
a. By multiplying all the terms by 2. b. By replacing x by x + 3.
c. By adding 3(3 + x) to both sides. d. By subtracting 3(3 + x) from both sides.
197. Solving the equation 1 1 = 5
2 7 x yields
1 5=
14 x. How can you complete the solution? a. By cross-multiplication
b. By division c. By subtraction d. By multiplication
198. We know that the perimeter of a rectangle with the dimensions a and b is equal to 2(a + b). How does doubling the sum of a and b give the perimeter?
a. Perimeter = 2a + a + 2b + b = 2(a + b) b. Perimeter = 2a + 2a + b + b = 2(a + b) c. Perimeter = a + a + b + b = 2(a + b) d. None of the above
199. The following set of numbers fit the sides of right triangles: a = 3 b = 4 c = 5
a = 6 b = 8 c = 10 a = 9 b= 12 c = 15 a = 12 b = 16 c = 20
Using this pattern, find a general formula for the sides of right triangles. a. a = n(3), b = n(5), and c = n(6)
b. a = n(2), b = n(4), and c = n(5) c. a = n(3), b = n(5), and c = n(7) d. a = n(3), b = n(4), and c = n(5)
200. What pattern is used for generating numbers in the series below: 4, 9, 19, 39, 79, . . . ,
a. Add 1 to each number, then double. b. Double each number, then add 1.
c. Subtract 1 from each number, then double. d. Double each number, then add 2.
