practice math placement test

8/17/2019 Practice Math Placement Test

1/12

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03 /4567489: 320 4 ( 8)+ ÷ !

;< = >< ?= @< 02 A< ?0B3C

23 /4567489: D2; E =< F 2D; E C< E GD;F0<

;< H; E 00 >< ; E 0H @< ; E 00 A< H; ?0H

G3 *I;7J;KL KML LN6OLPP4QR:2 24 4a ab b! + S TMLR ; U 2 ;RA > U C

;< ?0= >< 0 @< VV A< W0

=3 14OL84XMKLOP JPL KML 8QO5J7; / U B3C, F 2V KQ @Q56JKL KML MQO4YQRK;7 O;RXL / 4R 8LLK Q8 T;KLO6;OK4@J7;O MQPLS TMLOL , 4P KML RQYY7L 6OLPPJOL 4R 6QJRAP3 14RA KML MQO4YQRK;7 O;RXL 48 6OLP

;< == 8LLK >< =CB 8LLK @< 0Z 8LLK A< H0 8LLK

C3 /4567489: ( )3

2 22 3 x x!

;< 1254 x >< 818 x @< 1218 x! A< 854 x!

V3 /4567489:

25 2

28

u v

w

!!" #$ %

& '

;<2 4

74

w v

u ><

4

2 10

16 v

w u @<

2 10

4

16 w u

v A<

7 4

24

u v

w

H3 *N6OLPP 4R P@4LRK484@ RQK;K4QR: B3 BBBBBCV

;< 65.6 10 !" >< 65.6 10! @< 55.6 10 !" A< 75.6 10 !"

W3 *N6;RA: 51.20 10!

;< 02BBBBBB >< 02BBBBB @< 02BBBB A< 02BBB

2/12

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,"+* 2 %1 02

Z3 /Q7IL:1 5 3

4 8 8 x ! =

;< N U = >< N U 2 @< NU1

2 A< N U

1

4

0B3 /Q7IL: WDN E 2< E CDN F =< N U 2W @< N U ?W A< N U ?0W

003 /Q7IL 8QO! :2mv

F r

=

;< 2 F

mrv

= >< 2m Frv= @<2 Fv

mr

= A< 2 Fr

mv

=

023 /Q7IL ,: Pr A P t = +

;<2

A rt P

!= @<

1

A P

rt =

+ A<

2

A P

rt =

0G3 /Q7IL:6 4

5 x x=

!

;< N U ?C >< N U ?V @< N U ?0B A< N U 2

0=3 /Q7IL: 2 3 5 x ! =

;< N U =S B ><1 11

,2 2

x = @< N U BS11

2 A<

1 11,

2 2 x = ! !

0C3 /Q7IL:4

34 4

x

x x

! =! !

;< N U = >< N U ?= @< N U 0 A< &Q PQ7JK4QR

0V3 /4567489:3 2 2

2

6

2

x x y xy

x xy

+ !!

;< N E 29 >< NDN F G9< @< NDN?29< A< N F G9

3/12

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0H3 /4567489:2

2

4 1

2 5 3

x

x x

!+ !

;< (;RRQK >L P4567484LA ><2 1

3

x

x

!+

@< 2 1

3

x

x

+

! A<2 1

3

x

x

+

+

0W3 /Q7IL: ?GD2N E G

;< N! ?V >< N" ?V @< N" ?G A< N! ?G

0Z3 /Q7IL:2 4

3 5 15

x+ <

;< N [ 2 >< N [ ?2 @< N \ ?2 A< N \ 2

2B3 ]QMR ;ILO;XLA W2 QJK Q8 0BB QR M4P 84OPK KMOLL KLPKP3 ^M;K T;P ]QMR_P P@QOL QR KML 8QJOK;8KLO KML 8QJOKM KLPK AOQ66LA KQ HZ QJK Q8 0BB`

;< (;RRQK >L 8QJRA >< WB @< HC A< HB

203 $ML P;7LP K;N O;KL 4R ^47PQR (QJRK9 4P V3HCa3 /J66QPL KQK;7 6O4@L Q8 ;R 4KL5 KM;K 9QJ >QJXMK 4(QJRK9 4R@7JA4RX K;NLP 4P b0=3ZGS TM;K 4P KML 6O4@L DOQJRALA KQ KTQ AL@45;7 67;@LP< >L8QOL K;

;< b023ZG >< b0G3ZZ @< b0C3Z= A< bW3Z0

223 $ML 7QRX KLO5 6;Oc4RX O;KL ;K #;7L4XM?dJOM;5 "4O6QOK 4P$2 per hour (or part of an hour) with $10 dailymaximum (12:00 a.m. to 12:00 a.m.). Suppose you park your car on Friday afternoon at 8:30 p.m. and pick it upon the following Tuesday at 9:30 a.m., what will be you parking fee?

;< bCW ><3 1

,4 5

x = ! @< 3 1,4 5

x = ! ! A< 3 1,4 5

x = !

2=3 /Q7IL:( )2

2 3 8 0 x ! ! =

;< N U3 2 2

2

±

>< N U GS ?2 @< 3 2 2 x = ! ± A< N U3 2 2

2

! ±

4/12

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2C3 $ML 6OQ84KS" S OL;74YLA >9 ; @Q56;R9 I;O4LP A4OL@K79 ;P KML RJ5>LO Q8 6OQAJ@KP# 4K PL77P3 -8 ; @Q56;R9 5;cLP; 6OQ84K Q8 bHWBB QR KML P;7L Q8 G2C 6OQAJ@KPS TM;K 4P KML 6OQ84K TMLR KML @Q56;R9 PL77P CBB

;< b0BBSBBB @< bWBSBBB A< bVBSBBB

2V3 -8 KML IQ7K;XLS eS 4R ;R L7L@KO4@ @4O@J4K 4P ML7A @QRPK;RKS KML @JOOLRK -S 4P 4RILOPL79 6OOLP4PK;R@LS #3 -8 @JOOLRK 4P 02B5" D54774;56LOL< TMLR OLP4PK;R@L 4P C QM5PS 84RA KML @JOOLRKOLP4PK;R@L 4P 0C QM5P3

;< =B5" >< GCH5" @< GVB5" A< 2BB5"

2H3 " GV 8QQK 7QRX KJ>L 4P @JK 4RKQ KTQ 64L@LP T4KM O;K4Q =:C3 14RA KML 7LRXKM Q8 KML PMQOK

;< Z 8LLK >< 0V 8LLK @< 02 8LLK A< 2B 8LLK

2W3 " 7;OXL PfJ;OL 64YY; M;P =Z 64L@LP DPfJ;OL P74@LP< 02 64L@LP @< 0= 64L@LP A< 0W 64L@LP

2Z3 /Q7IL: 1 2 1 3 x! + =

;< N U B ><3

2 x = ! @< N U ?0 A< 1

2 x =

GB3 /Q7IL 8QO$ X4ILRV

r h!

=

;<r

V h!

= >< 2h

V r

! = @<

2V hr ! = A< D?CS B< ;RA DBS H< @< D?CS B< ;RA DBS ?H< A< DCS

5/12

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GG3 $ML 74RL;O OL7;K4QRPM46 >LKTLLR KML 1;MOLRML4K P@;7L ;RA (LRK4XO;AL P@;7L 8QO KL56LO;KJ

>9 9

325

F C = + 3 ^M4@M Q8 KML 8Q77QT4RX PK;KL5LRKPS 48 ;R9S ;OL!"#$%

"3 VW Q 1 @QOOLP6QRAP KQ 2BQ ( !3 =B Q ( @QOOLP6QRAP KQ HWQ 1

;< %R79 " >< %R79 ! @< !QKM " ;RA ! A< &L4KMLO " RQO !

G=3 ]QMR D]< 4P C 9L;OP Q7ALO KM;R M4P P4PKLO .;O9 D.< TMQ 4P 2 9L;OP 9QJRXLO KM;R MLO >OQKMLO ;RA , ALRQKL KML4O ;XLPS TM4@M QRL Q8 KML 8Q77QT4RX OL6OLPLRKP KML X4ILR 4R8QO5;K4QR`

;<5

2

J M

P M

= +!"

= #$ ><

5

2

J M

M P

= +!"

= +# @<

5

2

M J

P M

= +!"

= #$ A<

5

2

J M

M P

= +!"

= #$

GC3 /Q7IL KML P9PKL5:3 5 43 4 x y

x y!

=

!"# ! =$

;< D?2S ?0B< >< D2S 2< @<2

2,5

! "#$ %& ' A<

4,0

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;< = >< G @< 2 A< 0

GH3Find the coordinates of a point A whose distance from the origin (0, 0) is 5 units.

a) A (3, 3) b) A(-3, 2) c) A(4, -3) d) A(1, 4)

GW3 (QRP4ALO KML @4O@7L X4ILR >9 KML LfJ;K4QR DN E 2

6/12

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;< N" ?C >< N" ?G QO N! ?C @< N! ?C A< ?C! N! -3

=03 $ML 4RKLOI;7 PQ7JK4QR KQ KML 4RLfJ;74K92

0

1

x

x

!>

+

4P

;< ( )2, +! >< ( ), 2!" @

7/12

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=Z3 /4567489 ;RA LN6OLPP 4R KML 8QO5' / 01 :4

1

i

i

!+

;< 2 E 24 >< ?2 E 24 @< = E =4 A< ?= F =4

CB3 14RA KML AQ5;4R Q8 KML 8JR@K4QR 23

( )1

x f x

x

+=

+3

;< ;77 OL;7 RJ5>LOP >< N# 0S ?0 @< N# ?G A< N# ?GS ?0S 0

C03 14RA KML LfJ;K4QR Q8 MQO4YQRK;7 ;P956KQKL Q8 KML 8JR@K4QR23

( )1

x f x

x

+=

!

;< 9 U 0 >< 8?0DN< D0i2

8/12

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,"+* W %1 02

CV3 /Q7IL: 2 1 32 xe!

=

;< ( )1 ln 32

2 x

+= ><

( )1 ln 322

x

!= @< ( )1 ln 16 x = + A< ( )

1ln 162

x = +

CH3 /Q7IL KML LfJ;K4QR: 2 2log ( 1) log ( 1) 2 x x+ ! ! =

;< N U G >< N U C @< N U CiG A< N U B

CW3 /J66QPL KML 6Q6J7;K4QR Q8 ; KQTR 4P X4ILR >9 KML 5QAL7( )/10

117250

2

t

P t ! "= # $% &

S TMLOL K ALRQKLP KML

RJ5>LO 9L;OP P4R@L 2BBB3 ^M4@M Q8 KML 8Q77QT4RX PK;KL5LRKP 4P+,-* `

;< $ML 6Q6J7;K4QR 4R 2BBB T;P WV2C3>< $ML 6Q6J7;K4QR AQJ>7LP LILO9 0B 9L;OP3@< $ML 6Q6J7;K4QR 4P M;7ILA LILO9 KLR 9L;OPA< $ML 6Q6J7;K4QR 4P XOQT4RX >9 CBa LILO9 KLR 9L;OP3

CZ3 -8 KML ;RX7L3

5

! " = O;A4;RPS KMLR

;< 0 90! < < o

>< 90 180! < <o o

@< >LKTLLR G ;RA C PL@QRAP@< >LKTLLR C ;RA H PL@QRAP A< >LKTLLR H ;RA 0B PL@QRAP

V03 +4ILR ;R 4PQP@L7LP KO4;RX7L T4KM >;PL 7LRXKM G2 @5 ;RA ;7K4KJAL 02 @5S 84RA KML 7LRXKM Q8

P4ALP3

;< 2= @5 >< 22 @5 @< 2B @5 A< 0W @5

V23 -8tan 3! = ;RA sin 0! > S KMLRcos ! LfJ;7P

9/12

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,"+* Z %1 02

;<3

10! ><

3

10 @<

1

10 A<

1

10!

VG3 -813

csc5

! = ;RA cos 0! < S KMLRcot ! LfJ;7P

;<12

5 ><

12

5! @<

5

12 A<

13

12!

V=3 14RA KML LN;@K I;7JL Q8( )csc 225 o

;< 2! ><2

2

! @< 2 A<2

2

VC3 14RA KML LN;@K I;7JL Q8( )cot 420 o

;<3

2 ><

3

3 @< 3 A<

1

2

VV3 -8 KML ;RX7L! 4R PK;RA;OA 6QP4K4QR 5LLKP KML JR4K @4O@7L ;K 5 1

,6 6

! "#$ %$ %& '

S 84RA KML I;7JL Q8 KML 8JR@K4QRP

( )sin ! ;RA ( )cos ! 3

;<5

sin6

! = ;RA1

cos6

! = " ><1

sin6

! = " ;RA5

cos6

! =

@<5

sin6

! = " ;RA1

cos6

! = A<1

sin6

! = ;RA5

cos6

! = "

VH3 14RA KML LN6OLPP4QR KM;K 4P LfJ;7 KQ1 sin

1 sin

!

!

+

"

10/12

!"#$%& (%))*+*,#"($-(* ,)"(*.*&$ $*/$

,"+* 0B %1 02

;< 2sin cos! ! + ><csc 1

csc 1

!

!

+

" @< 2tan cot! ! @< 22 cot 1! " A< 2 2sec csc! ! +

VZ3 $ML 54RJKL M;RA Q8 ; @7Q@c 4P V@5 7QRX3 gQT 8;O AQLP KML K46 Q8 KML 54RJKL M;RA KO;IL7 4R 0

;< 12 ! @5 >< 9 ! @5 @< W5 @< =5 A< 25

H23 /Q7IL ( )4cos 6 5 cos 1 , 0 360! ! ! + = + " < o ;< 0

o

>< 90o

@< ,

3 2

! ! " = # @< ,

6 2

! ! " = # A< ,

3 2

! ! " = #

HC3 -R ; O4XMK KO4;RX7L "!( T4KM 5 90C ! =o

S 48 "( U 02 ;RA ( ) 3

sin5

B = S 84RA "!3

;< 2B >< V @

11/12

!"#$%& (%))*+*,#"($-(* ,)"(*.*&$ $*/$

,"+* 00 %1 02

HV3-R KO4;RX7L "!( T4KM 5 30 A! = o S 5 45 B! = o ;RA !( U 2 S 84RA "(3

;< 2 >< 2 @< G A< 4RPJ884@4LRK 4R8QO5;K4Q

HH3 -R KO4;RX7L "!( T4KM 5 30 A! =o

S 5 60 B! =o

;RA "! U 02S 84RA !(3

;< 6 3 >< V @< 3 x y= + @<2 2 9 x y+ = A< ( )

22 3 1 x y+ ! =

HZ3 *7454R;KL KML 6;O;5LKLO! 4R KML X4ILR 6;O;5LKO4@ LfJ;K4QR( ) ( )

( )sin cos

sin 2

x t t

y t

! ="# ="$

;< N U 29 >< 9 U 2N @< N9 U 2 A<1

2 xy =

WB3 +4ILR IL@KQOP 4, 3u = ! !r

;RA 2,1v =r

S TM4@M 48 KML 8Q77QT4RX PK;KL5LRKPS 48 ;R9S 4P&'()* 3

;< 5u =r

>< 2 0u v+ =r r r

@< 6,4v u! =r r

A< &QRL Q8 KMLPL


12/12

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,"+* 02 %1 02

2345$" 6$7

03 @ 203 > =03 @ V03 @

23 > 223 @ =23 @ V23 @G3 > 2G3 @ =G3 ; VG3 >=3 A 2=3 ; ==3 > V=3 ;C3 A 2C3 ; =C3 A VC3 > V3 @ 2V3 ; =V3 @ VV3 >H3 ; 2H3 > =H3 > VH3 >W3 @ 2W3 @ =W3 @ VW3 AZ3 ; 2Z3 > =Z3 > VZ3 A0B3 > GB3 @ CB3 ; HB3 ;

003 A G03 ; C03 A H03 @023 @ G23 ; C23 A H23 ;0G3 @ GG3 ; CG3 > HG3 ;0=3 > G=3 A C=3 > H=3 ;0C3 A GC3 > CC3 ; HC3 ;

0V3 A GV3 > CV3 ; HV3 >0H3 A GH3 @ CH3 @ HH3 >0W3 @ GW3 @ CW3 @ HW3 0Z3 @ GZ3 A CZ3 > HZ3 >

2B3 A =B3 > VB3 A WB3 >3

practice math placement test

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