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71 Cards in this Set
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 Back
If 1 person from this study is randomly selected, whatis the probability that this person has either Type A orType AB blood? A) 62/150 B) 66/150 C) 68/150 D) 73/150 E) 84/150 
D) 73/150 

The monthly fees for single rooms at 5 colleges are$370, $310, $380, $340, and $310, respectively. Whatis the mean of these monthly fees? F. $310 G. $340 H. $342 J. $350 K. $380 
H. $342 

On a particular road map, 1/2 inch represents 18 miles.2 About how many miles apart are 2 towns that are 2 1/2 inches apart on this map? A) 18 B) 22 1/2 C) 36 D) 45 E) 90 
E) 90 

Given f=cd^3 , f=450, and d=10,what is c?
F. 000.45 G. 004.5 H. 015 J. 045 K. 150 
F. 000.45 

Jorge’s current hourly wage for working atDenti Smiles is $12.00. Jorge was told that at thebeginning of next month, his new hourly wage will bean increase of 6% of his current hourly wage. Whatwill be Jorge’s new hourly wage?
F. $12.06 G. $12.60 H. $12.72 J. $18.00 K. $19.20 
H. $12.72 

Gregg wants Ship Quick to ship 1 box that weighs15 pounds. What is the shipping rate for this box? F. $09.75 G. $16.50 H. $19.75 J. $20.00 K. $24.50

H. $19.75 

A. 13 B. 15 C. 16 D. 52 E. 64 
A. 13 

The table below shows the number of cars Jing soldeach month last year. What is the median of the data inthe table? F. 13 G. 16 H. 19 J. 20.5 K. 23.5 
K. 23.5 

A car accelerated from 88 feet per second (fps) to220 fps in exactly 3 seconds. Assuming the accelerationwas constant, what was the car’s acceleration, in feetper second per second, from 88 fps to 220 fps ? F) 1/ 44 G) 29 1/3 H) 44 J) 75 1/3 K) 102 2/3 
H) 44 

In which of the following are 1/2, 5/6 , and 5/8 arranged in ascending order? 


In scientific notation, 670,000,000 + 700,000,000 = ? 


To get a driver’s license, an applicant must pass awritten test and a driving test. Past records show that80% of the applicants pass the written test and 60% ofthose who have passed the written test pass the drivingtest. Based on these figures, how many applicants in arandom group of 1,000 applicants would you expect toget driver’s licenses? A) 200 B) 480 C) 600 D) 750 E) 800 
B) 480 




F. 100 G. 150 H. 200 J. 300 K. 600 
H. 200 

Last month, Lucie had total expenditures of $900. Thepie chart below breaks down these expenditures bycategory. The category in which Lucie’s expenditureswere greatest is what percent of her total expenditures,to the nearest 1% ? A. 24% B. 28% C. 32% D. 34% E. 39% 
B. 28% 

To make a 750piece jigsaw puzzle more challenging, apuzzle company includes 5 extra pieces in the boxalong with the 750 pieces, and those 5 extra pieces donot fit anywhere in the puzzle. If you buy such a puzzlebox, break the seal on the box, and immediately select1 piece at random, what is the probability that it willbe 1 of the extra pieces? A) 1/5 B) 1/755 C) 1/750 D) 5/755 E) 5/750 
D) 5/755 

What fraction lies exactly halfway between 2/3 and 3/4? F) 3/5 G) 5/6 H) 7/12 J) 9/16 K) 17/24 
K) 17/24 

Gianna is converting a 12footby15foot room in herhouse to a craft room. Gianna will install tile herself butwill have CC Installations build and install the cabinets.The scale drawing shown below displays the location of thecabinets in the craft room (0.25 inch represents 2 feet). Cabinets will be installed along one of the 12foot wallsfrom floor to ceiling, and 4 cabinets that are each 3 feet tallwill be installed in the middle of the room. These are theonly cabinets that will be installed, and each of them willbe 2 feet wide and 2 feet deep. CC Installations has givenGianna an estimate of $2,150.00 for building and installingthe cabinets. A 15foot wall is how many inches long in the scaledrawing? A. 1.5 B. 1.875 C. 3 D. 3.375 E. 3.75 
B. 1.875 

Gianna is converting a 12footby15foot room in herhouse to a craft room. Gianna will install tile herself butwill have CC Installations build and install the cabinets.The scale drawing shown below displays the location of thecabinets in the craft room (0.25 inch represents 2 feet). Cabinets will be installed along one of the 12foot wallsfrom floor to ceiling, and 4 cabinets that are each 3 feet tallwill be installed in the middle of the room. These are theonly cabinets that will be installed, and each of them willbe 2 feet wide and 2 feet deep. CC Installations has givenGianna an estimate of $2,150.00 for building and installingthe cabinets. CC Installations’ estimate consists of a $650.00 chargefor labor, plus a fixed charge per cabinet. The laborcharge and the charge per cabinet remain the samefor any number of cabinets built and installed.CC Installations would give Gianna what estimate ifthe craft room were to have twice as many cabinets asGianna is planning to have? A. $2,800.00 B. $3,000.00 C. $3,450.00 D. $3,650.00 E. $4,300.00 
D. $3,650.00 

What is the difference between the mean and themedian of the set {3, 8, 10, 15} ? A. 00 B. 01 C. 04 D. 09 E. 12 
A. 00 

A container is 1/8 full of water. After 10 cups of water8 are added, the container is 3/4 full. What is the volume4 of the container, in cups? F) 13 1/3 G) 13 1/2 H) 15 J) 16 K) 40 
J) 16 

Only tenth, eleventh, and twelfthgrade studentsattend Washington High School. The ratio of tenthgraders to the school’s total student population is86:255, and the ratio of eleventh graders to theschool’s total student population is 18:51. If 1 studentis chosen at random from the entire school, whichgrade is that student most likely to be in?
A) Tenth B) Eleventh C) Twelfth D) All grades are equally likely. E) Cannot be determined from the given information 
B) Eleventh 




If x:y=5:2 and y:z=3:2,what is the ratio of x:z?
A. 03:1 B. 03:5 C. 05:3 D. 08:4 E. 15:4 
E. 15:4 

A dog eats 7 cans of food in 3 days. At this rate, howmany cans of food does the dog eat in 3 + d days? 


The square below is divided into 3 rows of equal area.In the top row, the region labeled A has the same areaas the region labeled B. In the middle row, the 3 regionshave equal areas. In the bottom row, the 4 regions haveequal areas. What fraction of the square’s area is in aregion labeled A ? F) 1/9 G) 3/9 H) 6/9 J) 12/12 K) 13/36 
K) 13/36 

As part of a probability experiment, Elliott is to answer4 multiplechoice questions. For each question, thereare 3 possible answers, only 1 of which is correct. IfElliott randomly and independently answers eachquestion, what is the probability that he will answerthe 4 questions correctly? 


Preparing for the ACT Two enterprising college students decide to start abusiness. They will make up and deliver helium balloon bouquets for special occasions. It will cost them$39.99 to buy a machine to fill the balloons withhelium. They estimate that it will cost them $2.00 tobuy the balloons, helium, and ribbons needed to makeeach balloon bouquet. Which of the following expressions could be used to model the total cost for producing b balloon bouquets? A. $ 2.00b + $39.99 B. $37.99b C. $39.99b + $ 2.00 D. $41.99b E. $79.98b 
A. $ 2.00b + $39.99 

What is the value of the expression (x – y)^2 when x = 5and y = –1 ? F. 4 G. 6 H. 16 J. 24 K. 36 
K. 36 

On the first day of school, Mr. Vilani gave his thirdgrade students 5 new words to spell. On each day ofschool after that, he gave the students 3 new words tospell. In the first 20 days of school, how many newwords had he given the students to spell? A. 28 B. 62 C. 65 D. 68 E. 152 
B. 62 

Which of the following lists all the positive factors of8? A) 1,8 B) 2,4 C) 2,4,6 D) 8,16, 32 E) 1,2,4,8 
E) 1,2,4,8 

Which of the following is an equivalent simplifiedexpression for 2(4x + 7) – 3(2x – 4)? F. x+2 G. 2x+ 2 H. 2x+26 J. 3x+10 K. 3x+11 
H. 2x+26 

To determine a student’s overall test score for thesemester, Ms. Lopez throws out the lowest test scoreand takes the average of the remaining test scores.Victor earned the following test scores in Ms. Lopez’sclass this semester: 62, 78, 83, 84, and 93. What overall test score did Victor earn in Ms. Lopez’s class thissemester? A. 67.6 B. 80.0 C. 83.0 D. 83.5 E. 84.5 
E. 84.5 

Uptown Cable, a cable TV provider, charges each customer $120 for installation, plus $25 per month forcable programming. Uptown’s competitor, DowntownCable, charges each customer $60 for installation, plus$35 per month for cable programming. A customerwho signs up with Uptown will pay the same totalamount for cable TV as a customer who signs up withDowntown if each pays for installation and cable programming for how many months? F. 3 G. 6 H. 10 J. 18 K. 30 
G. 6 







Leticia went into Discount Music to price CDs. AllCDs were discounted 23% off the marked price. Leticiawanted to program her calculator so she could input themarked price and the discounted price would be theoutput. Which of the following is an expression for thediscounted price on a marked price of p dollars? A) p – 0.23p B) p–0.23 C) p–23p D) p–23 E) .23p 
A) p – 0.23p 

Ms. Lewis plans to drive 900 miles to her vacationdestination, driving an average of 50 miles per hour.How many miles per hour faster must she average,while driving, to reduce her total driving time by3 hours? A. 5 B. 8 C. 10 D. 15 E. 18 
C. 10 

For all positive integers x, what is the greatest commonfactor of the 2 numbers 216x and 180x ? F. 6 G. 72 H. x J. 12x K. 36x 
K. 36x 

The table below shows the price of different quantitiesof standardsized lemons at Joe’s Fruit Stand. What isthe least amount of money needed to purchase exactly20 standardsized lemons if the bags must be soldintact and there is no tax charged for lemons? A. $3.60 B. $3.90 C. $4.20 D. $4.50 E. $6.00 
B. $3.90 

Which of the following is a factored form of theexpression 5x2 – 13x – 6 ? A) (x–3)(5x+2) B) (x–2)(5x–3) C) (x–2)(5x+3) D) (x+2)(5x–3) E) (x+3)(5x–2) 
A) (x–3)(5x+2) 

A bag contains 6 red marbles, 5 yellow marbles, and7 green marbles. How many additional red marblesmust be added to the 18 marbles already in the bag sothat the probability of randomly drawing a red marble is 3/5? F. 12 G. 16 H. 18 J. 24 K. 36 
F. 12 

Minh cuts a board in the shape of a regular hexagonand pounds in a nail at an equal distance from eachvertex, as shown in the figure below. How manyrubber bands will she need in order to stretch a different rubber band across every possible pair of nails? A. 15 B. 14 C. 12 D.9 E.6 
A. 15 

There are 280 runners registered for a race, and therunners are divided into 4 age categories, as shown inthe table to the left. The prize committee has 60 prizes to award and wantsthe prizes to be awarded in proportion to the number of runners registered in each category. How many prizesshould be designated for the 26–35 age category? F. 15 G. 17 H. 24 J. 36 K. 40 
H. 24 




Tom’s longdistance service charges $0.10 per minutefrom 7:00 P.M. to 7:00 A.M. on weekdays, all day onSaturdays, and all day on holidays; $0.05 per minuteall day on Sundays; and $0.25 per minute at all othertimes. The table below gives his longdistance calls for1 week, including the date and day of each call, thetime it was placed, and the number of minutes it lasted. What did Tom’s longdistance service charge him forthe calls in the table? F) $7.30 G) $7.60 H) $7.95 J) $8.80 K) $9.90 
J) $8.80 

What is the median of the following 7 scores?
42, 67, 33, 79, 33, 89, 21 A. 42 B. 52 C. 54.5 D. 56 E. 79 
A. 42 

A number is increased by 25% and the resultingnumber is then decreased by 20%. The final number iswhat percent of the original number? A. 90% B. 95% C. 100% D. 105% E. 120% 
C. 100% 

Two numbers are reciprocals if their product is equalto 1. If x and y are reciprocals and x > 1, then y mustbe: F) less than –1. G) between 0 and –1. H) equal to 0. J) between 0 and 1. K) greater than 1. 
J) between 0 and 1. 

In teaching a lesson on the concept of thirds, Ms. Chuuses a divideandsetaside procedure. She starts with acertain number of colored disks, divides them into3 equal groups, and sets 1 group aside to illustrate 1/3. She repeats the procedure by taking the disks she had set aside, dividing them into 3 equal groups, andsetting 1 of these groups aside. If Ms. Chu wants to beable to complete the divideandsetaside procedure atleast 4 times (without breaking any of the disks intopieces), which of the following is the minimumnumber of colored disks she can start with? A. 12 B. 15 C. 27 D. 54 E. 81 
E. 81 

Which of the following is true for all consecutive integers m and n such that m < n ?
F) m is odd G) n is odd H) n–m is even J) n^2 –m^2 is odd K) m^2 + n^2 is even 
J) n^2 –m^2 is odd 

Carmen is playing with blocks. She arranges stacks ofblocks so that each successive level of blocks has1 fewer block than the level below it and the top levelhas 1 block. Such a stack with 3 levels is shown below.Carmen wants to make such a stack with 12 levels.How many blocks would she use to build this stack? A. 66 B. 78 C. 132 D. 144 E. 156 
B. 78 

To keep up with rising expenses, a motel managerneeds to raise the $40.00 room rate by 22%. What willbe the new rate? F. $40.22 G. $42.20 H. $48.00 J. $48.80 K. $62.00 
J. $48.80 

As a salesperson, your commission is directly proportional to the dollar amount of sales you make. If yoursales are $800, your commission is $112. How muchcommission would you earn if you had $1,400 insales? A. $210 B. $196 C. $175 D. $128 E. $64 
B. $196 

If 7+3x = 22, then 2x = ? F . 5 G. 10 H. 12 J. 14 K. 58/3 
G. 10 

The total cost of renting a car is $30.00 for each day the car is rented plus 28.5 cents for each mile the car is2 driven. What is the total cost of renting the car for5 days and driving 350 miles? (Note: No sales tax is involved.) A. $ 104.75 B. $ 159.98 C. $ 249.75 D. $ 300.00 E. $1,147.50 
C. $ 249.75 

What is the least common denominator for adding thefractions 4/15, 1/12, and 3/8 ? A. 40 B. 120 C. 180 D. 480 E. 1,440 
B. 120 




It costs a dollars for an adult ticket to a reggae concertand s dollars for a student ticket. The differencebetween the cost of 12 adult tickets and 18 studenttickets is $36. Which of the following equations represents this relationship between a and s ? 


A. –2 B. –1 C. 2 D.5 E. 10 
B. –1 

In a bag of 400 jelly beans, 25% of the jelly beans arered in color. If you randomly pick a jelly bean from thebag, what is the probability that the jelly bean pickedis NOT one of the red jelly beans? F . 1/2 G. 1/4 H. 3/4 J. 1/16 K. 15/16 
H. 3/4 

What polynomial must be added to x^2 – 2x + 6 so that the sum is 3x^2 +7x? A. 4x^2+5x+6 B. 3x^2+9x+6 C. 3x^2+9x–6 D. 2x^2+9x–6 E. 2x^2–5x+6 
D. 2x^2+9x–6 

When y = x^2, which of the following expressions isequivalent to –y ? F. (–x)^2 G. –x^2 H. –x J. x^2 K. x 
G. –x^2 

⎪7(–3) + 2(4)⎪ = ? A. –28 B. –13 C. 13 D. 28 E. 29 
C. 13 

John Jones has decided to go into the business of producing and selling boats. In order to begin this venture,he must invest $10 million in a boat production plant.The cost to produce each boat will be $7,000, and theselling price will be $20,000. Accounting for the costof the production plant, which of the following expressions represents the profit, in dollars, that John willrealize when x boats are produced and sold? A. 13,000x – 10,000,000 B. 27,000x – 10,000 C. 9,973,000x D. 20,000x E. 13,000x 
A. 13,000x – 10,000,000 

If 2x^2 + 6x = 36,what are the possible values of x? F. –12 and 3 G. –6 and 3 H. –3 and 6 J. –3 and 12 K. 12 and 15 
G. –6 and 3 

To increase the mean of 4 numbers by 2, by how muchwould the sum of the 4 numbers have to increase?
F. 2 G. 4 H. 6 J. 8 K. 16 
J. 8 

Television screen sizes are the diagonal length of therectangular screen. Hector recently changed fromwatching a television with a 13inch screen to a television with a similar 19inch screen. If a boxcarappeared 8 inches long on the 13inch screen, howlong, to the nearest inch, will it appear on the 19inchscreen? F. 10 G. 12 H. 14 J. 16 K. 18 
G. 12 







Kaylee found a used car she is thinking about purchasing. The list price is $8,795. She calculates thatshe will need to borrow $6,500. Approximately whatwould her monthly payment be if she borrowed themoney for 36 months at an annual interest rate of10% ? F. $164.84 G. $171.21 H. $209.76 J. $234.72 K. $283.81 
H. $209.76 