[PDF] an ACT workbook for the classroom - LSU Math

2539_6prACTice4successstudentworkbook.pdf an ACT workbook for the classroom by

Jeremy AikinandMatt Bennett

ThisproductwasmadepossiblebytheNationalScienceFoundationGK-

12 Fellows Program at Louisiana State University, the Louisiana Education

Quality Support Fund, and the Gordon A. Cain Center at Louisiana State

University.

ACT is a registered trademark of ACT, Inc., which was not involved in the produc- tion of, and does not endorse, this product.

A note to the teacher...

prACTice 4 successis a collection of worksheets intended to offer high school students, who have completed algebra and geometry, steady practice on problems similar to those encountered on the math portion of the ACT. Each worksheet has 3 problems and the students should be given exactly 3 minutes time to work them out. These worksheets can be used as a daily warm-up routine for the first five or so minutes of class time. It is important for the teacher to spend a few minutes going over the answers and possible strategies for solving the problems after the students complete each worksheet. We rec- ommend that the teacher collects and grades each worksheet, keeping track of the total number of problems each student gets correct throughout the year. It may even be useful to design a game to go with these worksheets in order to hold the students" interest and motivate them to do their best while competing with their classmates. prACTice1

1.Which of the following is equivalent to(z)(z)(z)(z)(z)(z)for allz?

A.6zB.z+6C.z6D.6zE.3z3

2.A rectangle is3times as long as it is wide. If the width of the rectangle is2inches,

what is the rectangle"s area in square inches?

A.6B.12C.10D.7E.16

3.5103=?

A.5;000B.0:05C.500D.5;000E.0:005prACTice2

1.Which of the following is divisible by3with no remainder?

A.2;020B.1;452C.3;133D.7;105E.4;225

2.The concentration of a substance in a solution is2105milligrams per milliliter.

How many milligrams are in3108milliliters?

A.61013B.51013C.5103D.11040

E.6103

3.If one leg of a right triangle is6centimeters long, and the other leg is8centimeters

long, how long is the triangle"s hypotenuse?

A.10B.2p7C.15D.5p2E.6p2

prACTice3

1.A jar contains 16 gum balls: 5 are yellow, 8 are red, and 3 are blue. Two gum balls

are selected at random from the jar one at a time. If the first gum ball is red, what is the probability that the second gum ball will also be red? A. 716
B.816 C.815 D.715 E.515

2.If you have gone5:5miles in30minutes, what was your average speed, in miles

per hour?

A.11B.10C.165D.2:25E.82:5

3.Ifmandnare any real numbers such that0 mustbe true of the value ofmn ?

A.1 E.n prACTice4

1.How many solutions are there to the equation2x28=0?

A.8B.2C.4D.1E.0

2.If3x=2y1, theny=?

A. 32
x+1B.32 x1C.23 x1D.3x12

E.3x+12

3.When graphed in the(x;y)coordinate plane, at what point do the linesxy=12

andy=2intersect?

A.(10;2)B.(2;14)C.(2;12)D.(14;2)E.(12;2)prACTice5

1.A circle with center(5;1)is tangent to they-axis in the standard(x;y)coordinate

plane. What is the radius of this circle?

A.5B.1C.p6D.4E.6

2.Which of the following completely describes the solution set for2(x+1) =2x+2?

A.x=1B.x=1

C.All real numbers are solutions forx.D.x=2

E.There are no solutions forx.

3.For allx>0,2x2+3x+1x+1simplifies to:

A.x+1B.2(x+1)C.2x+1D.(2x+1)(x+1)

E.2x2+2xprACTice6

1.If Janet is2years older than her brother, Tim, and Andrew is5years older than

Janet, and the sum of all3of their ages is42, then how old is Tim?

A.35B.5C.13D.18E.11

2.Ifx=3zandz=2y, thenx=?

A.3B.2yC.5yD.6yE.2z

3.Tina made$121this week for working22hours. How much will she make next

week if she gets paid at the same rate but only works14hours?

A.$100B.$77C.$64:50D.$114E.$44:25

prACTice7

1.If the value ofA,BandCin the following fraction are all doubled, how does the

value of the fraction change?

A
DC
B

A.doublesB.increases by half

C.stays the sameD.decreases by half

E.quadruples

2.Which of the following fractions is the equivalent of0:2%?

A. 15 B.150

C.1500

D.11000

E.120 3. 23
34 =?

A.112

B.112

C.1D.98

E.89 prACTice8

1.What is the next term in the following sequence?

1;23 ;49 ;827 ;A. 3081

B.2481

C.1654

D.2E.1681

2.What isx12divided byx14?

A.x2B.x26C.x6=7D.1x

2E.x168

3.:0000123equals:

A.1:23105B.1:23105C.12:3105D.1:23106

E.:123106

prACTice9

1.The average of three numbers isx. If the first number isyand the second number

isz, what is the third number? A. 13 xyzB.3xyzC.x3y3zD.3x+y+z E. x+y+z3

2.If two cowboys leave a ranch at 9:00 am, how far apart will they be at 11:00 am if

one travels directly north at20mph and the other travels directly west at15mph?

A.25milesB.35milesC.70milesD.50miles

E.500miles

3.Which of the following isNOTa rational number?

A. p3B.p4C.r1 9

D.2:18333333:::E.1:13342prACTice10

1.If a circle has diameter4, what is its area?

A.16pB.2pC.4pD.8pE.6p

2.If a circle has circumference8p, what is its area?

A.8pB.4pC.32pD.16pE.64p

3.A rectangular prism has volume128in3. If the length of its base is4inches and its

height is two times the width of its base, what is its height?

A.24inchesB.16inchesC.8inchesD.12inches

E.4inchesprACTice11

1.What is the area of the triangle below?10

8 ininA.24inB.48in2C.40in2D.80in2E.24in2

2.The sum of the product of two positive numbers and two times their difference is

16. Their difference is3. What are the two numbers?

A.1and8B.4and5C.10and3D.2and5E.3and5

3.Tom needs to be at the airport in30minutes, but the airport is27miles away. What

is the minimum speed he must drive in order to get there on time?

A.54mphB.56mphC.14mphD.27mphE.30mphprACTice12

1.In the standard(x;y)coordinate plane, what is the area of the triangle formed by

the linesy=0,x=0and the line connecting the points(0;3)and(5;0)?

A.7:5unitsB.15unitsC.12unitsD.8units

E.8:5units

2.In the figure below,BD

=DCandBCis20units long. IfADis the altitude of4ABC, what is the area, in square centimeters, of4ABC?BA C

DA.40B.20p2

C.Cannot be determined by the given information.D.152 E.10

3.What are thex-intercepts in the graph ofy=x23x4?

A.4and1B.2and2C.4and1D.3and2

E.4and1prACTice13

1.Which of the following is equal top72?

A.2p6B.6p2C.9p8D.36p2E.18p2

2.What is the slope of the line6y=123x?

A. 12

B.2C.2D.12

E.4

3.What is the largest possible product for two odd integers whose sum is 28?

A.196B.192C.195D.187E.171prACTice14

1.A box of oatmeal contains1712

cups of oatmeal. At most, how many people can you serve from this box of oatmeal if a serving must be at least 34
cup?

A.23peopleB.24peopleC.21peopleD.22people

E.25people

2.What is the least value ofysatisfying the equationy25=3y5?

A.3B.0C.3D.2E.5

3.Ifx+3y=19and3x+y=5, thenx+y=?

A.3B.4C.5D.6E.7prACTice15

1.What positive value ofkwould make the lines below parallel in the standard(x;y)

coordinate plane? kx+4y=15

16x+ky=10

A.16B.8C.8D.4E.0

2.Ify=3, then21y

+12 =? A. 125

B.2C.65

D.512 E.56

3.Whenx=5,x2+kx40=0. What is the value ofk?

A.0B.4C.2D.1E.3prACTice16

1.Ifyis a real number greater than5;000;000, which of the following fractions is

smallest in value? A. y3 B.3y

C.3y1D.3y+1E.y+13

2.What is the product of the two real solutions to the equationx2=12+4x?

A.12B.4C.4D.12E.8

3.What integer most nearly approximates(p65)(p35)?

A.40B.48C.56D.54E.42prACTice17

1.If3x2=4x+3, thenx=?

A.17B.16C.1D.1E.2

2.Which of the following equations describes a line that passes through the origin

and is parallel to the line3x2y=10?

A.xy=0B.3x+2y=0C.2y3x=10D.2y3x=0

E.3y+2x=0

3.j1014jj83j=?

A.1B.9C.9D.1E.13prACTice18

1.If13b=65, thenb2=?

A.65B.25C.13D.125E.81

2.If65%of the weight of a600-pound motorcycle should be supported by the rear

wheel, how many pounds should be supported by the rear wheel?

A.450B.360C.410D.400E.390

3.What is the average of58

and0:175?

A.0:35B.0:4C.0:3825D.0:15E.0:4125prACTice19

1.There arenstudents on a school bus. If, among those students,p%play at least

one sport, which of the following general expressions represents the number of students who playNOsports?

A.100(1p)nB.n(1p):01C.n(100p)100

D.:01npE.np

2.Five authors write a book together and as a group, they get35%of the money from

the sales of their new book. That35%is split equally among the5authors. If the book generates$1;500;000in sales, how much does one author receive?

A.$450;000B.$525;000C.$125;000D.$105;000

E.$90;000

3.The total surface area of the rectangular box shown below is the sum of the areas

of the6sides. What is the box"s total surface area, in square inches? A.30 B.62 C.60 D.20

E.483 inches2 inches5 inchesprACTice20

1.A circular pancake has a radius of118

inches. When lying flat on a frying pan, how much area does the pancake cover, in square inches? A.

121p64

B.11p4

C.121p128

D.11p16

E. 121p8

2.SquareABCDbelow has an area of81in2. How many inches long is diagonalBD?

A.9p3 B.18 C.9 D.6

E.9p2AB

C D ?3.The area of a trapezoid is12 h(b1+b2), wherehis the altitude, andb1andb2are the lengths of the parallel bases. If a trapezoid has an altitude of6inches, an area of

48in2, and one base7inches long, what is the length, in inches, of its other base?

A.8B.10C.7D.9E.6prACTice21

1.Lengths are shown in inches in the drawing of the rectangle below. What is the

shaded area, in square inches? 8 7 143
3 6 2

3A.41B.90C.61D.69E.66

2.Over all real numbersx, what is the minimum value of6cos(5x)?

A.6B.5C.5D.6E.65

3.If the angles\Xand\Yeach measure between90and180, and ifsinX=cosY,

what is thesumof the measures of the angles\Xand\Y?

A.135B.270C.225D.335E.180prACTice22

1.A television is on sale for$1;200, which is a40%discount of the regular price.

What is the regular price of the television?

A.$2;200B.$1;900C.$1;800D.$2;100E.$2;000

2.Which of the following fractions is equivalent to0:05%?

A. 12000
B.120

C.1200

D.1500

E.15000

3.Two helicopters leave the same army base at 2:00 pm. How far apart will they be

at 4:00 pm if one flies due north at120mph and the other flies due west at90mph?

A.240milesB.180milesC.150milesD.300miles

E.320milesprACTice23

1.What is the cost, in dollars, to install linoleum in a rectangular roomWyards wide

andLyards long if it costs$1:50per square foot?

A.1:5WLB.:5WLC.13:5WLD.:15WLE.14:5WL

2.The measures of the angles of a triangle are in the ratio of2x: 3x: 4xas illustrated

below. What is the measure of the largest angle in the triangle?2x

3x4xA.40B.60C.20D.80E.90

3.The ingredients for a certain chocolate chip cookie recipe are:1cup chocolate

chips, 13 cup eggs,12 cup flour,23 cup sugar, and14 cup butter. How many total cups of ingredients are used in this recipe for chocolate chip cookies? A.123

B.11112

C.2D.212

E.234 prACTice24

1.Lengths for the triangle below are given in inches. What is the value ofx?3060

x3A.2p3B.2C.2p3

D.3E.p3

2.Ifr=3z,15z=20x, and10x=2y, thenr=?

A. 52
yB.54 yC.15 yD.5yE.45 y

3.65%of what number is130?

A.210B.200C.190D.180E.160prACTice25

1.At a certain store, an8-pound bag of flour costs$3:84. What is the cost per ounce

of flour? (There are16ounces in a pound.)

A.$0:02B.$0:03C.$0:30D.$0:20E.$0:06

2.A right triangle has sides of length18,24, and30square meters. What is the area

of the right triangle, in meters?

A.216B.432C.360D.270E.640

3.A fair coin is tossed in the air 3 times. What is the probability that the coin will

come up heads exactly two of the times? (A fair coin is just as likely to come up heads as tales.) A. 34
B.38 C.23 D.14 E.29 prACTice26

1.How many ways are there to pick5people from a committee of9people?

A.126B.42C.72D.56E.54

2.In July, Bob made10%more money than he did in June. In August, he made10%

more than in July. If Bob made$1;500in June, how much did he make in August?

A.$1;815B.$1;996:50C.$1;650D.$2;010:50

E.$1;950

3.In the figure below,\Yis a right angle and the measure of\Xis60. IfXYis5

units long, how many units long isYZ? A.5p2 B. 5p3 C. 52
D.10

E.5p360

? XYZ

5prACTice27

1.Which of the following sets isNOTclosed under addition?

A.Odd numbersB.Even numbers

C.IntegersD.Rational numbers

E.All are closed under addition.

2.Ifa>candb>d, then which if the following statements are true aboutjadjand

jcbj?

A.jadj <1

C.jadj=jcbjD.jadj>jcbj

E.None of the above is true.

3.Which of the following couldNOTbe a solution to52x<3?

A.8B.7C.6D.5E.4

prACTice28

1.John is5years older than Samantha and Samantha is twice as old as Tim. If the

sum of their ages is95, how old is John?

A.36B.18C.41D.31E.45

2.What is the value ofbthat makes the two lines, given by3xy=4and2y+4bx=1,

perpendicular?

A.3B.32

C.32 D.13 E.16

3.Bill can mop a floor in20minutes, while Jim can mop the same floor in12minutes.

It takes Andy half an hour to mop the floor. If all three work together, how long will it take them to mop the floor?

A.6minutesB.7minutesC.8minutesD.9minutes

E.10minutesprACTice29

1.During the first week of a certain month, a computer store sells11computers. A

sale begins on the second week of the month and during the second week, the computer store sells17computers. What was the percent increase in sales from the first week of the month to the second week of the month?

A.64:7%B.154:5%C.164:7%D.35%E.54:5%

2.During a4-day carnival, the attendance triples in size each day. If the attendance

on Wednesday is565people, how many people are in attendance on Saturday?

A.5;085B.15;255C.45;765D.6;780E.1;695

3. 190
712 =? A.

103180

B.190

C.105180

D.103180

E.107180

prACTice30

1.The average person drinks the equivalent of8, (8ounce) glasses of water per day.

A person who drinks25:6ounces of water in a day drinks what fraction of the average amount? A. 52
B.165 C.516 D.25 E.18

2.In the right triangle4ABCbelow, what is the cosine of\A?A

B C

14 centimeters

48 centimetersA.

724
B.247

C.2425

D.725

E.1425

3.What is thex-value at which the graphs ofy=x22x+1andy=x2+2x7inter-

sect?

A.2B.The graphs do not intersect.C.8D.32

E.12 prACTice31

1.Ifxis a positive real number such thatx2=81, thenx3(x+px) =?

A.729B.717C.720D.711E.723

2.What is the value oflog381?

A.3B.4C.9D.27E.81

3.If the sides of a triangle are6,8, and10inches long, what is the angle between the

two shortest sides?

A.45B.180C.90D.60E.30prACTice32

1.LetNequal4x2y+1. What happens to the value ofNifxis increased by2andy

is decreased by1?

A.It decreases by2.B.It decreases by3.

C.It increases by1.D.It increases by6.

E.It increases by10.

2.If the edges of a cube are doubled in length to produce a new, larger cube, then the

larger cube"s surface area is how many times larger than the smaller cube"s surface area?

A.2B.4C.8D.16E.32

3.What expression must the center cell of the table below contain so that the sums of

each row, each column, and each diagonal are equivalent?x+y8xy3x2xy6x+y7x4x+y3xyA.xB.2xC.xD.2xE.4xprACTice33

1.A class of students is being arranged for a photo. When the class is arranged in

rows of6students, one of the rows is one person short. When the class is arranged in rows of7students, one of the rows is still one person short. What is the least possible number of the students in the class?

A.41B.42C.83D.125E.84

2.What is the distance in the standard(x;y)coordinate plane between the points

(2;3)and(1;5)?

A.p17B.3C.8D.p11E.p73

3.In the standard(x;y)coordinate plane, what is they-coordinate of the midpoint on

the line segment between the points(6;2)and(3;10)? A.32

B.4C.8D.6E.6prACTice34

1.How many different positive four-digit integers can be created if the four digits1,

3,5, and6must be used to create each integer?

A.6B.12C.48D.24E.18

2.For real numbersaandb, when isja+bjequal tojabj?

A.Only whena=0orb=0.B.Only whena>0orb>0.

C.Only whena=b.D.Always.

E.Never.

3.What is the slope of a line that is perpendicular to the line determined by the

equation8x2y=5?

A.4B.14

C.4D.14

E.25 prACTice35

1.j21j(21) =?

A.42B.42C.21D.21E.0

2.Ifa=b+2, then(ba)5=?

A.32B.16C.16D.32E.2

3.What is the fourth term in the arithmetic sequence25;18;11;:::?

A.13B.3C.9D.4E.6prACTice36

1.If a rectangle measures21centimeters by28centimeters, what is the length, in

centimeters, of the diagonal of the rectangle?

A.300B.30C.36D.35E.32

2.John owns5different pairs of shoes,4different pairs of pants, and7different

shirts. How many distinct outfits, each consisting of a pair of shoes, a pair of pants, and a shirt, can John make?

A.20B.120C.140D.28E.35

3.3x27xy32x5y4is equivalent to:

A.42x8y7B.42x10y12C.21x8y7D.21x10y12E.42y8x7prACTice37

1.The expressionx[3y2(zw)y]is equivalent to:

A.2xy2xz+2xwB.3xy2xz2xw

C.3xy+2xz2xwD.2xy2z+2w

E.2xy2x+zw

2.For what value ofmwould the following system of equations have an infinite

number of solutions?

5a2b=8

15a6b=6m

A.0B.4C.3D.3E.4

3.Iftanq=34

andp2 qp, thensinq=? A.35 B.45 C.35 D.45 E.34 prACTice38

1.Which of the following is a solution to the equationx216x=0?

A.16B.4C.16D.4E.32

2.For all positive integersa,b, andc, witha6=b, which of the following expressions

is equivalent toac ? A. acbcB.a+bcc+bcC.aabcabD.abacE.a2abacbc

3.On the line segmentADshown below, pointsBandClie in betweenAandD. The

length of segmentADis34meters; the length of segmentBDis19meters; and the length of segmentACis23meters. How many meters long is the segmentBC?ABCDA.7B.8

C.4D.11

E.Cannot be determined from the given information.prACTice39

1.A rectangular swimming pool holds5;120cubic feet of water. If the swimming

is32feet long and20feet wide and the pool is the same depth everywhere, how deep is the pool, in feet?

A.6B.8C.7:5D.9E.6:5

2.Ifx=15

y3z, what iszin terms ofxandy? A. 15 xy3B.x5y3C.x5y3D.5xy

3E.5xy3

3.To keep up with rising costs, a plumber needs to increase his$35:00per hour rate

by15%. What will his new hourly rate be?

A.$40:25B.$5:25C.$37:50D.$2:50E.$41:00prACTice40

1.The figure below shows quadrilateralABCD. What is the measure of\C?

A.45 B.60 C.59 D.50

E.5785

? 67149
A B C D2.An architect has the floor plan of a building drawn to scale. The floor plan of the building is a rectangle6inches by9inches. The architect wants to know the length of the shorter side of the building. If he knows that the length of the longer side of the building is 150 feet, how many feet long is the shorter side of the building?

A.225B.120C.112:5D.100E.75

3.If15gallons of milk cost$34:80, how much does one gallon of milk cost?

A.$2:30B.$2:40

C.$2:32D.$3:00

E.Cannot be determined from the given information. prACTice41

1.The relationship between temperature in degrees Fahrenheit,F, and temperature

in degrees Celsius,C, is given by the formulaF=95

C+32. To the nearest degree,

what is the equivalent temperature of73Fahrenheit on a Celsius thermometer?

A.20B.21C.22D.23E.24

2.The depth of a reservoir is120feet and is being reduced by12

ft. per week. The depth of a second reservoir is130ft. and is being reduced by1ft. per week. If the depth of both of these reservoirs continue to reduce at these constant rates, in about how many weeks will the reservoirs have the same depth?

A.20B.7C.6D.10E.12

3.Whenxy=4, what is the value of3(xy)2+12xy7(xy)?

A.21B.23C.28D.51E.13prACTice42

1.Whengraphedinthestandard(x;y)coordinateplane, whichofthefollowingequa-

tions doesNOTrepresent a line?

A.3x+2y=5B.(x3)+2(y1) =7C.y=75

x4D.y=5

E.y=34

x2+1

2.What is the slope of any line perpendicular to the line3x9y=14?

A.3B.13

C.13

D.3E.14

3.If4times a numbernis added to24, the result is negative. Which of the following

gives the possible value(s) forn?

A.28onlyB.n>6C.6onlyD.n<6

E.10onlyprACTice43

1.What is they-intercept of the line in the standard(x;y)coordinate plane that passes

through the points(1;2)and(2;3)? A.13

B.0C.3D.1E.53

2.In the figure below, linesjandkare parallel, transversalsmandnintersect to form

an angle of measurex, and two other angle measures are as marked. What is the value ofx? A.70 B.72 C.20 D.18 E.38k jm n x 110

1083.Iff(x) =2x43x2+1andg(x) =px, what is the value of(fg)(2)?

A.1B.3C.2p2D.2E.p2

prACTice44

1.At the homecoming dance, one male and one female will be chosen as king and

queen, respectively. If there are200females and140males, how many different

2-person combinations are possible for king and queen?

A.2;800B.200C.140D.28;000E.340

2.(x13

y)2=?

A.x223

xy+19 y2B.x219 y2C.x2+19 y2D.x223 xy19 y2

E.x2+23

xy+19 y2

3.How many prime numbers are there between1and20?

A.9B.8C.7D.6E.5

prACTice45

1.Iftanq<0, which of the following could be true aboutq?

A. p2 C.Eitherp2

E.p only.

2.Iflogay=sandlogax=t, thenlogayx

 =?

A.stB.st

C.tsD.ts

E.as=t

3.What is the degree measure of the larger of the two angles formed by the line and

the ray in the figure below?(3x-1 (2x-9A.114B.130C.67D.38E.113prACTice46

1.The cost of a hotdog and a soft drink at a baseball game is$3:20. The cost of two

hotdogs and a soft drink is$4:40. What is the cost of a soft drink?

A.$1:20B.$2:00C.$0:40D.$2:80E.$2:50

2.A triangle with perimeter96centimeters has one side that is26centimeters long.

The lengths of the other two sides have a ratio of3 : 4. What is the length, in centimeters, of thelongestside of the triangle?

A.30B.26C.45D.42E.40

3.If6x=3(2x12), thenx=?

A.2B.3C.4D.5E.6

prACTice47

1.Which of the following sets of3numbers could be the side lengths, in inches, of a

30
,60,90triangle?

A.1,p2,1B.2p3,4,2C.1,2,3D.2p2,2p2,2

E.1,p3,p2

2.(x22x7)(3x22x+4)is equivalent to:

A.2x211B.2x24x11C.2x23D.2x24x3

E.2x2+3

3.Thenormalamountofchlorineinacertainswimmingpoolis1:3104milligrams

per liter. When the chlorine level in the water was tested today, it was found to have exactly100times more than the normal level of chlorine. What concentration of chlorine, in milligrams per liter, is in the swimming pool today?

A.13102B.1:3102C.1:3106D.1:3

E.1:3101prACTice48

1.Which of the following equations expressesain terms ofb, for all real numbersa,

b, andcsuch thata2=c3andc=b4

A.a2=b7B.b=a6C.a2=b4D.b8=a3E.b12=a2

2.Which of the following statements isNOTtrue about the arithmetic sequence

23;19;15;11;:::?

A.The fifth term is7.

B.The sum of the first7terms is77.

C.The common difference of consecutive terms is4.

D.The common ratio of consecutive terms is4.

E.The first term minus44is the twelfth term.

3.What is the matrix product2

4b 4b 3b3 5 2 0 -1? A. 2

42b 0 -b

8b 0 -4b

6b 0 -3b3

5 B.2

42b 8b 6b

0 0 0 -b -4b -3b3 5 C. 2b 0 -3bD.[b] E. 2 42b
0 -3b3

5prACTice49

1.Lisa plays basketball and her shooting accuracy increased by10%from 2001 to

2002, and by30%from 2002 to 2003. By what percent did her shooting accuracy

increase from 2001 to 2003?

A.40%B.30%C.35%D.43%E.20%

2.Which of the following quadratic equations has solutionsx=2aandx=5b?

A.x210ab=0B.x2+x(2a5b)10ab=0

C.x2+x(5b2a)10ab=0D.x2x(2a5b)+10ab=0

E.x2+x(2a5b)+10ab=0

3.Which of the following lists gives2of the3interior angle measurements of a tri-

angle for which the third angle measurement would be equal to the smaller of the two given measurements.

A.100,40B.90,30C.120,40D.85,45

E.70,50prACTice50

1.Which of the following is a value forbthat satisfieslogb81=4?

A.3B.13

C.4D.814

E.481

2.In triangleABC, the measure of angleAis30and the measure of angleBis60. If

sideABis16units long, what is the area, in square units, of triangleABC?

A.64B.32p3C.32D.16p3E.8p3

3.What is the slope of any line parallel to they-axis in the standard(x;y)coordinate

plane?

A.0B.1

C.UndefinedD.1

E.Cannot be determined from the given information.prACTice51

1.Janice can run4miles inxminutes. At that rate, in how many minutes can she run

10miles?

A.2:5xB.:4xC.4xD.10xE.40x

2.Which one of the following lines has the smallest slope?

A.2y=3x4B.9y2x=15C.5y=4+3xD.xy=1

E.y=12

x

3.The photograph frame below has a uniform frame-width of1:5inches. What is the

the approximate area, in square inches, of the viewable portion of the photograph?32 inches15 inchesA.457:5B.480C.432D.411:75E.552:75prACTice52

1.Which of the following expresses the number of miles a person must travel when

walking6laps around a circular path of radiusnat a certain park?

A.3pnB.6nC.6pnD.6pn2E.12pn

2.A rectangular room is6feet longer than2times its width. The area, in square feet,

of the room is260. How long, in feet, is the room?

A.10B.13C.32D.15E.26

3.A triangle,4ABC, is reflected across the liney=xin the standard(x;y)coordinate

plane to the triangle4A0B0C0. In particular, the pointAgets reflected to a pointA0, the pointBgets reflected to the pointB0and the pointCgets reflected to the point C

0. If the coordinates of pointBare(r;s), what are the coordinates of pointB0?

A.(r;s)B.(s;r)C.(s;r)D.(r;s)E.(s;r)prACTice53

1.The diagram below shows two tangent circles such that the8-inch diameter of the

smaller circle is equal to the radius of the larger circle. What is the area, in square inches, of the shaded region?8A.16pB.32pC.64pD.48pE.24p

2.If2(x+1)=4(x1), what isx?

A.2B.1C.4D.3E.0

3.What is the least common denominator when adding the fractionsc4

,a2 ,d3 , and b15 ?

A.360B.180C.60D.120E.30prACTice54

1.Traveling at approximately186;000miles per second, about how many miles does

a beam of light travel in3hours?

A.3:35107B.6:7108C.2:01109D.4:021010

E.1:211011

2.IfsinA=bc

,b>0,c>0, and02b2B.cb

C.pc 2b2b D.cpc 2b2 E. cpc 2+b2

3.The ratio ofxtoyis3to5, and the ratio ofytozis1to2. What is the ratio ofxtoz?

A.6to5B.3to10C.2to5D.5to6E.1to5prACTice55

1.If(x3)is a factor of2x2xk, what is the value ofk?

A.15B.15C.9D.9E.5

2.Consider the three statements below to be true.

All reptiles that live in the desert are lizards.

ReptileRis a lizard.

ReptileSlives in the desert.

Which one of the following statements is necessarily true?

A.ReptileRlives in the desert.

B.ReptileRdoes not live in the desert.

C.ReptileSis not a lizard.

D.ReptileSis a lizard.

E.ReptileSis a not lizard that lives in the desert.

3.What is the value of the expressionk2
(3k2)3fork=2?

A.128B.64C.32D.256E.512

prACTice56

1.Bernie earned82,91,83, and95out of100points on the first4tests in his math

class. How much must he earn on his fifth test, also worth100points so that his average for the5tests is90?

A.100B.95C.97D.90E.99

2.In the right triangle shown below, the sides are measured in centimeters. For any

such triangle,(tanA)(cosB)is equivalent to: A. yzx

B.x2yz

C. xz D.yz E. xyz 2xy z A

B3.For allz>0,2z

53 =? A.

13zB.3z3C.105z6D.65z3zE.6z3prACTice57

1.Ifcosq=78

andsinq=23 , thentanq=? A. 712

B.1621

C.32

D.2116

E.23

2.In the(x;y)coordinate plane, what is thex-intercept of the line2x+7y=5?

A.2B.27

C.5D.57

E.2:5

3.If(mx)3m

y=m7, for allm6=0, which of the following must be true?

A.3xy=7B.3xy

=7C.3xy=7D.3p3xy=7

E.3x+y=7

prACTice58

1.Which of the following calculations yields an odd integer for any integern?

A.2(n1)+5B.2n4C.6(n3)+2D.4n6

E.2(n+5)+6

2.A certain isosceles triangle has legs that are each twice as long as its base. Sup-

pose the length of each side of the triangle is tripled to get a second triangle. The perimeter of the second triangle is how many times as large as the perimeter of the first triangle?

A.6B.27C.9D.95

E.3

3.What is the slope of any line perpendicular to they-axis in the standard(x;y)coor-

dinate plane?

A.Undefined.B.1

C.0D.1

E.Cannot be determined from the given information.prACTice59

1.For some real numberk, the graph of the liney= (2k1)x+4passes through the

point(1;7). What is the value ofk?

A.0B.2C.32

D.52 E.4

2.What is the equation of the circle in the standard(x;y)coordinate plane that has a

radius of9units and the same center as the circle determined byx36x+y2=7

A.x2(y+6)2=9B.(x3)2+y2=9

C.(x+3)2+y2=81D.(x3)2+y2=81

E.(x3)2+y2=9

3.Iflog3(5x+2) =3, thenx=?

A.5B.3C.0D.15

E.13 prACTice60

1.In the standard(x;y)coordinate plane, if a square has the vertices(2;1),(1;2)

and(0;1), what are the coordinates of the fourth vertex?

A.(1;2)B.(0;1)C.(1;1)D.(1;0)E.(0;0)

2.Ifx2=64andy2=1, which of the followingCANNOTbe the value ofx+y?

A.9B.8C.7D.7E.9

3.Jack, Will, and Charles are all brothers, and their father would like them to wash

his car. It normally takes Jack2hours to wash the car, it takes Will1:5hours to wash the car, and it only takes Charles half an hour to wash the car. About how many minutes will it take them to wash the car it they all work together?

A.16B.15C.26D.19E.22prACTice61

1.Whichofthefollowingistheleastcommondenominatorfortheexpressionbelow?

2b

3c3+5ab2c51a

3b

A.abcB.ab2c3C.a2b2c2D.a4b6c8

E.a3b3c5

2.What number can you add to the numerator and the denominator of713

to get14 ?

A.7B.2C.5D.1E.1

3.Given the vertices of the squareABCD, in the standard(x;y)coordinate plane be-

low, what is the area of triangleABC, in square units? A.2p2 B.8 C.2 D.4

E.4p2A (1,3

B (3,1

C (1,-1(-1,1

xy prACTice62

1.Ifaandbare non-zero real numbers witha=b, then which of the following con-

ditions must be true? A. aba+b=0B.a2abab=aC.abba=1D.abab=1 E. aba=ab 1

2.The average of a set of four integers is50. When a fifth integer is included in the

set, the average of the set increases to 51. What is the fifth integer?

A.53B.54C.51D.52E.55

3.Ifx
y
z
w=27andx
z
v
w=0, then which of the following must be true?

A.y=0B.w=0C.x>0D.z>0E.w<0prACTice63

1.In the standard(x;y)coordinate plane, what is they-intercept for the graph of the

parabolay=3x22x+5?

A.3B.2C.193

D.5E.23

2.What is the smallest possible value for the product of two numbers that differ by

4?

A.4B.2C.4D.2E.8

3.Iff(x) =3x2x, thenf(x+h) =?

A.3x2x+hB.3x2+6xhx+3h2h

C.3x2xhD.3(x+h)2x+h

E.3(x+h)2xprACTice64

1.In a game,95pieces of paper numbered00through94are placed in a bag. A

player draws one piece of paper at random from the bag. Without replacing the first piece of paper, the player then draws a second piece of paper from the bag. If both pieces of paper have the same tens digit (that is both pieces of paper are numbered between00and09, or10and19, or20and29, etc.), the player is a winner. If the first piece of paper Shana draws from the bag is numbered73, what is the probability that Shana will be a winner on the next draw? A. 995

B.8594

C.994

D.8595

E.1094

2.Which real numberxsatisfies(2x)3
16=83?

A.4B.3C.23

D.2E.53

3.MikeandAnnaownadinerthatservessandwiches. Theyhaveinstock,6different

kinds of meat,5kinds of cheese,7kinds of vegetables, and4kinds of condiments. Each sandwich on the menu has exactly one kind of meat, one kind of cheese, one kind of vegetable, and one condiment. How many different types of sandwiches are possible to have on the menu?

A.840B.22C.210D.420E.155prACTice65

1.In the figure below,4ABCand4EFGare similar, with the given side lengths in

feet. What is the perimeter, in feet, of4EFG?A B C EF G 9912

4A.9B.10C.11D.8E.7

2.Natalie would like to build a box with dimensions4meters by4meters by4me-

ters. What is the least amount of material, in square meters, that Natalie will need in order to build the box (assuming that the material has no thickness)?

A.64B.96C.12D.20E.72

3.A perfectly vertical tree40feet tall, casts a shadow on level ground that is40feet

long. What is the angle of elevation from the tip of the shadow to the top of the tree?

A.60B.33C.30D.90E.45

prACTice66

1.A5-meter by9-meter rectangle is inscribed in a circle as shown below. What is the

area of the circle, in square meters?5

9A.81pB.2pp106C.53p2

D.25pE.20:25p

2.For ally,(3y+y2)2=?

A.y4+6y3+9y2B.9y2+y4C.6y2+y4D.y4+9y2+3y3

E.3y+y2

3.On the real number line, what is the midpoint of9and19?

A.5B.10C.14D.8E.12prACTice67

1.A system of linear equations is shown below.

5y=3x2

3y=5x2

Which of the following describes the graph of this system of linear equations in the standard(x;y)coordinate plane?

A.Two distinct intersecting lines.

B.Two parallel lines with positive slopes.

C.Two perpendicular lines.

D.A single line with positive slope.

E.Two parallel lines with negative slopes.

2.A certain type of candy bar costs$0:75before sales tax is added. When you buy10

of these candy bars, you receive5additional candy bars free. What is the average cost per candy bar for the15candy bars before sales tax is added?

A.$0:65B.$0:50C.$0:70D.$0:35E.$0:45

3.Which of the following is a value ofxthat satisfieslogx64=3?

A.2B.3C.4D.64E.8prACTice68

1.By definition, the determinanta b

c d equalsadbc. What is the value of the determinant 2x -y

3xy -4x

whenx=1andy=2?

A.0B.4C.4D.8E.20

2.The solution set ofp32x>4is the set of all real numbersxsuch that:

A.x>12

B.x>132

C.x<12

D.x<132

E.x<192

3.The measure of a certain angle in a regular polygon is132degrees. What is the

measure of the angle in radians?

A.132pB.22p15

C.11p15

D.15p11

E.15p22

prACTice69

1.What is the midpoint of the line segment from the point(5;10)to the point

(7;8)in the standard(x;y)coordinate plane?

A.(1;1)B.(6;1)C.(1;1)D.(1;9)E.(12;2)

2.Which of the following statements isNOTtrue about the geometric sequence

405;135;45;:::?

A.The fifth term is5.

B.The product of the fourth and fifth terms is75.

C.The common ratio of consecutive terms is3 : 1.

D.Every term in the sequence is evenly divisible by5.

E.Each consecutive term is13

of the previous term.

3.In the diagram below,BDis parallel toAE,4ACEand4BCDare similar,m\A=

23
, andm\C=x. What isNOTa possible measure for\CDB, if75 ABC D

EA.75B.70C.83D.81E.68prACTice70

1.A wheel24inches in diameter rolls along a line. How many inches does the wheel

roll along the line in15revolutions?

A.360pB.180pC.2160pD.24pE.15p

2.For allx>3,2x25x32x26x=?

A.1B.x22x3C.2x+12xD.x+1x

E.12x

3.You have enough material to build a fence608meters long. If you use it all to

enclose a square region, how many square meters will you enclose?

A.369;664B.2;432C.92;416D.23;104E.5;776prACTice71

1.StoreAsells50pencils for$14:00, while storeBsells48pencils for$12:00. Which

store"s price per pencil is cheaper, and what is that price?

A.StoreA, at$0:28B.StoreB, at$0:27

C.StoreA, at$0:26D.StoreB, at$0:25

E.StoreB, at$0:24

2.What is the value ofxthat satisfies the equation5(2x1) =3x4?

A.97 B.17 C.113

D.913

E.37

3.Jared has two glasses of water, one having twice the capacity of the other. He

notices that the larger glass is about 13 full, and the smaller glass is about23 full. Jared pours all of the water from the smaller glass into the larger glass. Then, about how full is the larger glass? A. 56
fullB.23 fullC.12 fullD.Completely full

E.OverflowingprACTice72

1.A line contains the pointsA,B,C, andD. PointDis betweenAandC, and point

Bis betweenDandA. Which of the following inequalities must be true about the lengths of these segments?

A.ABBDC.AD>BCD.AB>BD

E.AD

2.Which of the following inequalities defines the solution set for the linear inequality

154x20?

A.x 54

B.x54

C.x54

D.x 154

E.x 54

3.Which of the following expressions is equivalent to(x2y3)22xy

3 ? A. 18 x9y12B.16 x9y12C.18 x7y8D.18 x9y15E.16 x7y12prACTice73

1.Ifab

=7anda+b=12, thenab=? A. 634
B.212 C.632

D.20E.94

2.How many minutes would it take an airplane to travel300miles at a constant

speed of500miles per hour?

A.33B.34C.35D.36E.37

3.Whenb=5, then which of the following is equivalent toy6?

A.(yb+3)2B.(y2b)2C.(yb)1=3D.(yb2)2E.(yb2)3

prACTice74

1.For the complex numberisuch thati2=1, what is the value of4i73i2?

A.1B.1C.4i+3D.7E.4i+3

2.Which inequality represents the values ofxsatisfyingj2x5j 3?

A.1x4B.x4C.2x1D.x4

E.4x1

3.What is the area, in square feet, of a right triangle with sides9feet,12feet, and15

feet?

A.90B.54C.1352

D.108E.180prACTice75

1.Ifaandbare real andx4+1y

5=3, then what must be true of the value ofy?

A.ymay have any value.B.ymust be prime.

C.ymust be positive.D.ymust be negative.

E.ymust be greater than3.

2.Which of the following lines is parallel toy=34

x2?

A.3y4x+1=7B.3y+4x=2

C.8y+6x5=0D.y=43

x2

E.y=x+2

3.The figure below has side lengths, in meters, as shown. The lineyis a perpendic-

ular bisector of linesABandCD. What is the total area, in square meters, of the shaded region?1814 y 77
ABC

DA.98B.46C.32D.28E.14prACTice76

1.A certain triangle has a height equal to3times its base. Suppose the height and

the base are both doubled. The area of the second triangle is how many times as large as the area of the first?

A.2B.4C.5D.6E.12

2.If1y

=1x+2and2x3y=6, thenx=?

A.12B.10C.8D.4E.0

3.The least integer in a set of consecutive integers is25. If the sum of these integers

is26, how many integers are in the set?

A.50B.51C.52D.53E.54prACTice77

1.Iftanb=35

andsinb=1225 , then what iscosb? A. 45
B.34 C.56 D.23 E.25

2.In a class of120students,60%are girls. Fifty-three of the girls received a passing

grade on the last exam. And75%of the boys received a passing grade on the last exam. How many students in the class received a passing grade on the last exam?

A.65B.89C.96D.98E.112

3.The volume of a pyramid with a square base is calculated using the following

formula: 13 (length of base)(width of base)(height). The square base of a pyramid has an area of144square inches. If the height of the pyramid is72inches, what is the volume, in cubic inches, of the pyramid?

A.3;456B.10;368C.864D.5;184E.1;728prACTice78

1.There are15colored socks in a drawer. Five of the socks are white,4are brown,

and6are black. If Brandon picks a white sock out of the drawer, and without replacing it, picks another sock out of the drawer at random, what is Brandon"s chance of picking another white sock out of the drawer? A. 415
B.514 C.14 D.15 E.27

2.Lineahas equationy=3x. In the standard(x;y)coordinate plane, linebis perpen-

dicular to lineaand meets lineaat the point(1;3). What is the equation of line b?

A.y=13

x3B.y=3x6C.y+3x=10D.3y+x=10

E.3yx=10

3.Whichofthefollowingexpressesthenthtermofthefollowinggeometricsequence?

2;12;72;432;:::

A.n
(2
6)B.2n
6C.2n+6D.2
6(n1)E.n(2+6)prACTice79

1.In the standard(x;y)coordinate plane, triangleABChas vertices(2;3),(4;3), and

(4;1). What is the area, in square units, of triangleABC?

A.8B.9C.10D.11E.12

2.If5a7b60, then which of the following must be true?

A.b0B.a

3.The figure below shows squareABCDand also shows the circle centered atC, with

radiusAC. If the radius of the circle is5inches, what is the area of the square, in square inches?

A.50B.5p2

2 C. 252
D.5p2

E.10p2AB

C

DprACTice80

1.For any integerx, which of the following calculations will always yield an even

integer?

A.(2x6)3B.x3+1C.x4+2D.x3+2E.jx4j+4

2. 23 x14 y 2 =? A. 49
x2116 y2B.49 x2+116 y2 C. 49
x213 xy+116 y2D.49 x216 xy+116 y2 E. 46
x216 xy+18 y2

3.In a right trianglePQR, the hypotenuse,PR, has a length of25units, and legPQ

has a length of20units. What is the perimeter of trianglePQR?

A.75B.55C.90D.45E.60

prACTice81

1.What is the matrix product2 -1

1 0
1 0 1 1 ? A. 1 1 1 1

B.1 -1

1 -1

C.-1 1

-1 0

D.1 -1

1 0 E. 1 -1 -1 0

2.Which value ofxsatisfies the equationlog42x=x1?

A.2B.3C.4D.1E.2

3.What is the least common multiple of28and70?

A.210B.140C.1960D.214E.980prACTice82

1.Which value(s) forxsatisfy the equalityj2x3j=5x?

A. 83
only.B.2only.C.3and5.D.3and5.

E.2and83

.

2.Simplified completely,3p864=?

A.63p6B.2163p6C.36D.63p36E.123p6

3.Angie is enclosing a rectangular garden measuring6feet by13feet. One of the

13-ft. sides of the garden must be enclosed by a brick wall, which costs$45per

ft., while the other sides will be enclosed by a chain-link fence, costing$25per ft.

How much will it cost to enclose the garden?

A.$810B.$950C.$1;050D.$1;210E.$1;710prACTice83

1.Amber has an empty container in which she puts8red marbles. She wants to

put in enough green marbles so that the probability of drawing a red marble at random from the container is 23
. How many green marbles should she put in the container?

A.2B.3C.4D.6E.12

2.For any real numberb, supposejx2bj=7. On a number line, how far apart are

the two solutions forx?

A.7+2bB.7bC.14bD.14E.7

3.If the circumference of a circle is47

pinches, how many inches long is its radius? A. p7 2 B.s 47
 C.74 D.72 E.27 prACTice84

1.Fora6=0,(a3)5a

3
a5=?

A.1B.a5C.1a

7D.a7E.7

2.Which of the following is equal to

13 +25
 15 13  ? A.12 B.111 C.12

D.211

E.112

3.How many different4-digit integers can be formed if the four digits2,3,5and6

must be used in each of the integers?

A.6B.12C.24D.16E.180prACTice85

1.In4ABCbelow,A,DandCare colinear. SegmentACis perpendicular to segment

BC, and segmentBDbisects angleABC. If the measure of angleDABis50, what is the measure of angleCDB?A B

CDA.40B.70C.50D.85E.60

2.For what nonzero whole numbermdoes the quadratic equationx2+3mx+92

m=0 have exactly one real solution forx?

A.6B.3C.1D.3E.6

3.A circle in the standard(x;y)coordinate plane has center(5;8)and radius7units.

Which of the following equations represents this circle?

A.(x5)2+(y+8)2=49B.(x+5)2+(y8)2=49

C.(x+5)2+(y8)2=7D.(x+5)2(y8)2=49

E.(x5)2+(y8)2=7prACTice86

1.You have enough material to build a fence180meters long. If you use it all to

enclose a square region, how many square meters will you enclose?

A.2025B.1800C.900D.240E.180

2.Ifa2b2=81anda+b=9, thena=?

A.0B.9C.18D.27E.81

3.One warning light on a machine flashes every4seconds. Another warning light

flashes every6seconds. If they flash together and you begin counting seconds, how many seconds after they flash together will they next flash together?

A.24B.18C.4D.6E.12prACTice87

1.If3+p3x=11, thenx=?

A.9B.1C.1D.9E.27

2.How many ordered pairs(x;y)of real numbers satisfy the equation5x5y=5

A.1B.2C.5D.Infinitely manyE.0

3.For the triangle shown below, what is the value ofcotx?1630

34
xA. 178

B.1715

C.815

D.1517

E.158 prACTice88

1.The number0:004is1000times as large as which of the following numbers?

A.4B.:4C.0:000004D.0:00004E.40

2.What is the corresponding acute angle to a125angle?

A.225B.235C.45D.65E.55

3.Which values ofxsatisfy5(x3)2(3x)?

A.fx:x3gB.fx:x3gC.fx:x7gD.fx:x7g

E.fx:x 7gprACTice89

1.Ifx=7a3andy=a+1, which of the following expressesyin terms ofx?

A.y=7x3B.y=x+1C.y=17

x10D.y=17 x+10

E.y=x+107

2.In the figure below,sint=?

A. p3 2 B.p2 2 C. 12 D.1 E.

15t(5,5

xy3.Which of the following isNOTa solution of(x1)(2x+1)(x+4)(x3) =0?

A.1B.4C.3D.12

E.12 prACTice90

1.In3-dimensional(x;y;z)space, the set of all points5units from they-axis is:

A.a line.B.a circle.C.a sphere.D.a cylinder.

E.2parallel lines.

2.If0

A.a<0andb<1B.a<0andb<1

C.a>0andb>1D.a<1andb<1

E.a<1andb<1

3.The polygon below was once a rectangle with sides10inches and6inches before

the two trianglesABGandBCDwere cut out. The pointBis the midpoint of seg- mentACandGFEDis a square. What is the perimeter, in inches, of the polygon

BDEFG?

A.28 B.27 C.26 D.25 E.24 ABC D E FG 6 10 prACTice91

1.On the real number line, pointShas coordinate9and pointThas coordinate

11. What is the coordinate of the midpoint ofST?

A.20B.10C.2D.2E.10

2.Given a right triangle4ABC, how many units long isBC?

A.5B.12

C.13D.p8

E. p149B C A 5

133.A Celcius temperatureCcan be approximated by taking half of the difference of

the Fahrenheit temperatureFand32. Which of the following expresses this ap- proximation method?

A.C=12

F32B.C=12

(F32)

C.C=2F32D.C= (F32)12

E.C=2(F+32)prACTice92

1.The daily totals of lunch customers served at the Moonlight Café last Monday

through Saturday were302;192;208;224;200, and224. What was the average num- ber of lunch customers served each day?

A.1350B.510C.270D.225E.224

2.In the figure showing4ABCbelow, linepis parallel to lineq. Which one of the

following angles must be congruent to\x?

A.\1B.\2

C.\3D.\4

E.\5A B C p q 1 5 x 2 3

43.A package of three pencil erasers is priced at$1:20now. If the erasers were to go

on sale for20%off the current price, what will be the sale price of the package?

A.$0:24B.$0:64C.$0:96D.$1:00E.$1:40prACTice93

1.Karli has3more DVDs than Jeremy. Then she bought2DVDs from Jeremy. How

many more DVDs does Karli have than Jeremy?

A.1B.4C.5D.6E.7

2.What is the value ofj12xjifx=15?

A.27B.3C.3D.6E.27

3.For allxandy,(3x2y)(x2+y) =?

A.3x33y3B.3x22y2

C.3x3+3x2y+3x2y2D.3x3x2y+6xy2y2

E.3x32x2y+3xy2y2prACTice94

1.For allx,124(x7) =?

A.4x+40B.4x16C.8x56D.8x+56E.x

2.(x3)10is equivalent to:

A.x30B.x13C.12x27D.x27E.30x

3.What is the218thdigit after the decimal point in the repeating decimal0:30281?

A.3B.0C.2D.8E.1

prACTice95

1.The area of a square is100square inches. What is its perimeter, in inches?

A.10B.20C.40D.100E.400

2.What is the sum of the2solutions of the equationx2+3x18=0?

A.6B.3C.3D.6E.9

3.Shelly won a cash settlement in a court case. Sherry paid her legal team20%of

the original settlement and had$10;000remaining. How much was the original settlement?

A.2;000B.12;000C.12;500D.18;000E.20;000prACTice96

1.Whenx=23

, what is the value of9x3x ?

A.1B.34

C.43

D.3E.4

2.Which of the following expressions isNOTa polynomial factor ofx49?

A.x2+3B.x23C.xp3D.x+p3E.x3

3.How many minutes would it take a train to travel105kilometers at a constant

speed of140kilometers per hour?

A.30B.40C.45D.80E.90prACTice97

1.The area of a trapezoid may be found by using the formulaA=12

h(b1+b2), where his the height andb1andb2are the lengths of the parallel bases. What is the area, in square inches of the isosceles trapezoid below?

A.30B.45C.60D.75E.100

2.For a certain quadratic equation,ax2+bx+c=0, the2solution arex=34

and x=23 . Which of the following could be factors ofax2+bx+c=0

A.(4x+2)and(3x3)B.(4x2)and(3x3)

C.(4x+3)and(3x2)D.(4x3)and(3x+2)

E.(4x+3)and(3x+2)

3.A rectangular room that is3feet longer than it is wide has an area if130square

feet. How many feet wide is the room?

A.9B.10C.13D.17E.21prACTice98

1.What is the center of the circle with equation(x5)2+(y+3)2=4in the standard

(x;y)coordinate plane?

A.(2;2)B.(5;3)C.(5;3)D.(2;3)E.(5;3)

2.What is the slope of the line joining the points(3;6)and(2;9)?

A.35 B.35 C.53 D.53 E.115

3.In the standard(x;y)coordinate plane, what is the midpoint of the line segment

that has endpoints(4;6)and(2;8)

A.(2;2)B.(6;14)C.(1;1)D.(1;2)E.12

;12 prACTice99

1.Which of the following expressions is equivalent to(3x3y4)3?

A.9x9y12B.27x6y7C.9x6y7D.27x9y12E.9x6y12

2.A line contains the pointsQ;R;S;andT. PointRis between pointsQandS. PointT

is between pointsSandR. Which of the following inequalities must be true about the lengths of the segments?

A.RS

E.ST

3.Ifxsx

t=x7for allx6=0, which of the following must be true?

A.st=7B.s+t=7C.st=7D.pst=7E.st

=7 prACTice100

1.Whichofthefollowingistheleastcommondenominatorfortheexpressionbelow?

15

3
7
112+15

2
118+15
72
11

A.5
11B.5
7
11C.53
72
112D.53
72
118

E.55
73
119

2.In the standard(x;y)coordinate plane, what is the slope of the line given by the

equation3x2y=5?

A.3B.32

C.23 D.32 E.3 3. 12
24
35
46
57
68
79
810 =? A. 160
B.130 C.19

D.1E.5prACTice101

1.The Audio/Visual Club selects its3officers by first selecting the president, then

the vice president, and the the secretary. If there are30members who are eligible to hold office and no member can hold more than1office, which of the following gives the number of different possible results of the election?

A.273B.293C.303D.29
28
27E.30
29
28

2.The ellipse shown below intersects any different ellipse in, at most, how many

points?A.1B.2C.3D.4E.Infinitely many

3.What value ofmwill satisfy the equation0:2(m+2;500) =m?

A.1250B.1190C.625D.500E.423prACTice102

1.A store takes50%off of the retail price of a chair. For the store"s holiday sale, it

takes an additional20%off of all furniture. The chair"s retail price was$320. How much is the chair on sale for during the holiday season.

A.107B.114C.128D.136E.192

2.Jim wants to expand his flowerbed by3feet on each side. What will the new area

of the flowerbed be?

A.3LWB.3(L+W)C.3L+3WD.(L+3)(W+3)E.LW2

3.Frank invested$4;000at5%interest. How long will it take him to earn$200in

simple interest? A.1yearB.2yearsC.3yearsD.4yearsE.5yearsprACTice103

1.In4ABC,AB=BC. If angleC"s measure is65, what is the measure of angleB?

A.40B.50C.60D.65E.75

2.In the parallelogramQRSTshown below,QSis perpendicular toSTand the mea-

sure of\QSRis25. What is the measure of\QTS?

A.25B.40

C.50D.65

E.9025

? T S R

Q3.Write0:00925in scientific notation.

A.925105B.92:5104C.9:25103D.9:25103

E.92:5104prACTice104

1.There are15balls in a bag:8are red,4are blue, and3are purple. What is the

probability that a ball chosen from the bag isNOTpurple? A. 45
B.815 C.15

D.1515

E.34

2.Which of the following best describes all points in a plane that are5inches from a

given point in the plane?

A.A circle with a5inch radius.

B.A circle with a5inch diameter.

C.A line segment5inches in length.

D.A square with5inch sides.

E.Parallel lines10inches apart.

3.Whenacb=dandc6=0, thena=?

A. dbc

B.d+bc

C.dbcD.db+cE.d+bcprACTice105

1.Given a plane,p, and a10inch line segment,s, contained inp, how many lines in

pbisects?

A.0B.1C.2D.10E.Infinitely many

2.Whenx+5x

2+x20is defined, it is equivalent to which of the following expressions?

A.

1x+4B.2x4C.1x4D.1x

24E.14

3.For all real numbersmandnsuch thatmn

 =nm  which of the following must be

FALSE?

A.n=1n

B.n=pn

2C.m=pn

2D.m=nE.m=nprACTice106

1.If the edges of a small cube are doubled in length to produce a new, larger cube,

then the larger cube"s volume is how many times the smaller cube"s volume?

A.2B.3C.4D.6E.8

2.A cat eats5cans of food in4days. At this rate, how many cans of food does the

cat eat in4+ddays? A. 54
+dB.54 +d4 C.54 +54dD.5+d4

E.5+54

d

3.A vehicle starts with a full tank of gasoline and travels120miles. While refilling

the tank the driver notices that the vehicle used 15 tank of gasoline in traveling the

120miles. Assuming the vehicle averages30miles per gallon, approximately how

many gallons of gasoline does the tank hold when full?

A.5B.15C.18D.20E.30

prACTice107

1.A rectangular lot that measures100ft by200ft is completely fenced. What is the

approximate length, in feet, of the fence?

A.250B.300C.400D.600E.2000

2.If5x+3=9x4, thenx=?

A.7B.74

C.47 D.23 E.47

3.A formula for the volumeVof a sphere with radiusrisV=43

pr3. If the radius of a rubber ball is112 inches, what is its volume to the nearest cubic inch?

A.9B.14C.27D.42E.56prACTice108

1.What is they-coordinate of the point in the line in the standard(x;y)coordinate

plane at which the2linesy=2x+6andy=3x+4intersect?

A.1B.2C.4D.6E.10

2.The hypotenuse of the right triangle4ABCshown below is15feet long. The sine

of\Ais35 . How many feet long isAC?A.9B.9:5C.12D.15E.15:4

3.Rasheed has4shirts,3sweaters, and6pairs of slacks. How many distinct outfits,

each consisting of a shirt, a sweater, and a pair of slacks, can Rasheed select?

A.13B.36C.42D.72E.216

prACTice109

1.A chord24inches long is5inches from the center of a circle. What is the radius of

the circle, to the nearest inch?r 5

24A.11B.13C.17D.25E.29

2.Which of the following is a solution to the equationx249x=0?

A.98B.49C.24:5D.7E.7

3.Iff(x) =x2+5, thenf(x+h) =?

A.x2+h2B.x2+5+h

C.x2+2xh+h2D.x2+2xh+h2+5

E.x2+2xh+h2+25prACTice110

1.Which of the following is the set of all real numbersxsuch thatx+2>x+7?

A.The empty set.

B.The set of all real numbers.

C.The set of all nonnegative real numbers.

D.The set of all negative real numbers.

E.The set containing only zero.

2.Ifa=b4, then(ba)3=?

A.64B.32C.1D.32E.64

3.The expressiona[c+a(bd)]is equivalent to:

A.ac+abdB.acabdC.a2cbdD.ac+a2ba2d

E.ac+a2b+a2d

prACTice111

1.If15plates cost$12:15. What is the cost of1plate?

A.$0:12B.$0:65C.$0:81D.$1:21E.$1:29

2.If three angles of a quadrilateral are80,123, and56, what is the fourth angle?

A.41B.86C.101D.123E.360

3.Which of the following is equal top20?

A.2p5B.2p10C.4p5D.10E.10p2

prACTice112

1.There arenstudents in a class. If, among those students,d%own at least1dog,

which of the following general expressions represents the number of students who doNOTown pets?

A.ndB.:01ndC.(d100)n100

D.(1d)n:01E.100(1d)n

2.A bag of quarters could be divided among6,7, or8children, with each getting the

same number, and1left over in each case. What is the smallest number a quarters that could be in the bag?

A.22B.43C.57D.169E.337

3.Jeremy ran134

miles on Wednesday, and315 miles on Friday. What is the total distance, in miles, that Jeremy ran during those2days?

A.4415

B.449 C.549

D.6920

E.739 prACTice113

1.If a rectangle measures8meters by4meters, what is the measure of the diagonal

of the rectangle?

A.80B.32C.12D.4p5E.2p5

2.What is the slope intercept form of the equation6xy+4=0?

A.y=6x4B.y=6x+4C.y=6x+4D.y=6x4

E.y=6x+23

3.The ratio of the side lengths of a triangle is exactly6 : 7 : 8. In a second similar

triangle similar to the first, the shortest side is14inches long. To the nearest tenth of an inch, what is the length of the longest side of the second triangle?

A.10:2B.12C.13:5D.18:7E.22:1

prACTice114

1.If the ratio of the radii of two circles is2 : 9. What is the ratio of their circumfer-

ences?

A.1 : 3B.2 : 9C.4 : 81D.2 : 8pE.9 : 18p

2.A circle in the standard(x;y)coordinate plane is tangent to thex-axis at3and

tangent to they-axis at3. What is the equation of the circle.

A.x2+y2=3B.x2+y2=9

C.(x3)2+(y3)2=3D.(x3)2+(y3)2=9

E.(x+3)2+(y+3)2=9

3.The solution set ofpx2<5is the set of all real numbersxsuch that:

A.x<6B.x<7C.x<27D.x<28E.x<49prACTice115

1.At a refinery,120;000tons of sand are required to produce80;000barrels of a

substance. How many tons of sand are required to produce12;000barrels of this substance?

A.8;000B.12;000C.16;000D.24;000E.40;000

2.For all positive integersx;y;andz, which of the following expressions is equivalent

toyx ? A. y
zx
zB.y
yx
xC.x
yy
xD.yzxzE.y+zx+z

3.A student has earned the following scores on four100-point tests:87;89;93;81.

What is the minimum the student can make on a fifth test, so that the average of the5scores is90?

A.80B.84C.95D.100

E.The score is not possible.prACTice116

1.A lottery is to be held to select a student you will receive the best parking spot at

school. There are50seniors,100juniors, and200sophomores who applied. Each senior"s name is placed in the lottery4times; each juniors name,2times; and each sophomores name1time. What is the probability that a junior"s name will be chosen? A. 25
B.35 C.13 D.23 E.17

2.If an object travels at five feet per second, how many feet does it travel in one hour?

A.30B.300C.720D.1800E.18000

3.Ifx>1andpx

x

5=xn, what is the value ofn?

A.6B.52

C.52 D.92

E.6prACTice117

1.Ifnis divisible by2;3, and15, which of the following numbers is also divisible by

these numbers?

A.n+5B.n+15C.n+20D.n+30E.n+45

2.For all positive integersaandb, leta
bbe defined by the formulaa
b=ab+1a2.

What is the value of3
3?

A.9B.14C.28D.42E.43

3.What is the smallest of four consecutive integers whose sum is968?

A.235B.239C.242D.243E.245prACTice118

1.Rick has7times as many crayons as Dick, and3times as many as Jill. If Dick has

less than21crayons, what is the maximum number of crayons that Rick can have?

A.63B.105C.120D.140E.147

2.What is2%of7%?

A.0:014%B.0:09%C.0:14%D.1:4%E.14%

3.An agent receives a commission of40cents for every$50of business she procures.

What percent is the agent"s commission?

A.0:8%B.1:0%C.1:25%D.1:5%E.2:5%prACTice119

1.(p2p3)2=

A.52p6B.5p6C.12p6D.1p2E.1

2.In the(x;y)coordinate plane above, linepcontains the points(0;0)and(1;3). If

lineq(not shown), contains the point(0;0)and is perpendicular top, what is an equation ofq?

A.y=13

xB.y=13 x

C.y=xD.y=x+3

E.y=x1x

y (1,3)3.A3by4rectangle is inscribed in a circle. What is the circumference of the circle?

A.2:5pB.3pC.4pD.5pE.10pprACTice120

1.Frank currently has enough money to buy45books. If the cost of each book was

10cents less, Frank Could buy5more books. How much money does Frank have

to spend on books?

A.40B.45C.50D.75E.100

2.How many 4-person committees can be formed in a club with 8 members?

A.2B.24C.56D.70E.1680

3.In the figureABis parallel toCE. IfAE=12,DE=6, andCE=4. What is the

length ofAB? A B C E

DA.8B.10C.12D.14E.16

prACTice121

1.If three angles of a triangle are3x;x+10, and2x40. Find the size of the smallest

angle of the triangle.

A.30B.35C.40D.45E.50

2.One hundred people will attend a dance if tickets cost$30each. For each$5in-

crease in price,10fewer people will attend. What price will deliver the maximum dollar sales?

A.30B.35C.40D.45E.50

3.Bill can mow a lawn in 2 hours. Quentin can mow the same lawn in 1.5 hours.

About how long will it take to mow the lawn if Bill and Quentin work together?

A.28minutesB.42minutesC.51minutesD.1:2hours

E.1:5hoursprACTice122

1.Property tax is7%of the assessed value of a house. How much would the property

tax be on a home with an assessed value of$80;000?

A.$100B.$450C.$1;000D.$5;600E.$10;000

2.If(sinq+cosq)2=5, thensinqcosq=?

A.1B.2C.3D.4E.5

3.For what values ofxis the expressionx27x+12x

29undefined?

A.All real numbersB.3and4C.3and3D.3only

E.No real numbersprACTice123

1.In the figure belowABCDis a square. What is the area of the polygonABCDE?

A.24B.44

C.48D.52

E.645 5 A B C 8 D

2.Which of the following is the sum of both solutions to the equationx29x+20=0?

A.9B.5C.0D.1E.4

3.p16+36=?

A.12B.p12C.p52D.p14E.52prACTice124

1.What is the maximum value ofy=1+3(sin5q)?

A.14B.10C.7D.3E.2

2.Which of the following calculations will give an odd intege

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