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DIAGNOSTIC TEST IN MATHEMATICS IV

  SY 2014 –  2015

Directions: Choose the letter which corresponds to your answer from the choices below eachquestion, then write the letter of your choice on your answer sheet.

 

1. What is the domain of the function f(x) =   105   − x  ?

  A. set of real numbers B. positie real numbers !. ≥ x  " #. ≤ x "

  ". Which point in $uadrant % is three units a&a' from the xaxis and the 'axis?

  A. ( * ) B. ( * ) !. ( * ) #. ( * )

  . What is the 'intercept of the linear e$uation %x + ' = , ?

  A. % B. !. " #."

)

  %. Write in s'mbols the phrase - fie less than t&ice a number x .A.  x"5− B. 5 /  x"   !. 5"   − x #. 5"   etro >anila

 

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1. What is the simplified form of (x + ")" (x")0 ?A. 1 B. 0 !. x "+"x+% #. x" + %x + %

14. What must be subtracted from  y x ""0   to et ?)0   " y x−  ?

A. – "0   y x "   B. 10   y x "   !. – 50   y x "   #. 50   y x "  

1. 2ind the reatest common factor of "0x" * "4x%' * and , x'.

A. % B. %x" !. x #. x"

"0. 6f 4 oranes cost 3hp 1"0.00* ho& much &ill 10 oranes cost ?

A. 3hp 115.00 B. 3hp 1"0.00 !. 3hp 10.00 #. 3hp 150.00

"1. 2ind the product ( x + ) ( x 8 ).

A. x" + % B. x" – %"x + % !. x" – % #. x" + %"x + %

"". What is the rane of the exponential function )"   +=  x

 y ?

A. @' ' C B. @ ' )≥ y C !. @ ' ' / C #. @ ' ' D C

". Eranslate into mathematical phrase the sum of the s$uares of x and '

A. x" + '" B. ( x + ' )" !.  y x + #. ""  y x   +

"%. Fimplif' ( ""'" )( 8 ' )( 5 ' )

A. – 0 '5 B. – ,0', !. 0 ', #. ,0 '5

"5. A line passes throuh the points ( * 8 % ) and ( "* , ). What is its slope ?

A. – 10 B. 10 !. " #. – "

",. What is the s$uare of ( "a – ) ?

A. %a" + B. %a" 8 1"a + !. %a" – #. %a" – ,a +

". Ehe 'intercept of a line is – % . 6f its slope is)

"* find its e$uation in ' = mx + b form.

A. ' = 8 %x +)

"B. ' = 8

)

"x + % !. ' =

)

"x + % #. ' = %

)

"− x

"4. Ehe sum of three consecutie positie een numbers is ". What is the middle number?A. "0 B. "" !. "% #. ",

". Write  y x bb   lo0lo0   +   as a sinle loarithm.

A. lo b ( x + ') B.bb  y xlo !.  xyblo0 #. lo  b  x'

0. What should be the middle term in ""  GGGGG %   y x   ++  to maHe it a perfect s$uare trinomial?

A. ,x B. ,x' !. 1"x #. 1"x'

1. 6f the x – intercept and the ' – intercept of a line are and – % respectiel'* &hat is its e$uation ?

A. %x – ' = 1" B. %x + ' = 1" !. x + %' = 1" #. x – %' = 1"

". What is 10 ( a% + b ) ( a% – b ) ?

A. a4 – b, B. 10a4 – b, !. 10a4 – 10b, #. 10a4 + 10b,

. 6f >arH is n 'ears old no&* ho& old is he 15 'ears from no& ?

A. 15n B. 15 – n !. n – 15 #. n + 15

%. Bet&een &hat t&o inteers does the ,0  lie ?

A. 5 and , B. % and 5 !. and 4 #. , and

5. What is the e$uialent of "%

) 'ears in months ?

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A. 1 B. " !. #. %

,. Ine side of an e$uilateral trianle is ( x + 5 ) m. What is its perimeter in meters ?A. x + 15 B. x + 5 !. 1"x + "0 #. 1"x + 5

. Which of the follo&in is the positie interal solution of the ine$ualit' "− x  / 5 ?A. { }"*1 B. { })*"*1 !. { },*5*%*)*"*1 #. { }*,*5*%*)*"*1

4. 6f %5")   )% −+−   x x x  is subtracted from the pol'nomial 5x% + x – %x +* &hat is the result?

A. "x% + 5x – x + !. – "x% – 5x + x – B. 4x% + 5x – #. "x% + 5x –

. A card is dra&n from a decH of 5" cards. What is the probabilit' of ettin an ace ?

A."

1B.

)

1!.

1)

1  #.

5

1

%0. Jxpress 15* 000* 000 in scientific notation.

A. 1.5 x 104 B. .15 x 104 !. 15 x 104 #. .15 x 10

%1. 6f the total cost of ( m + n ) notebooHs is ( %m" + mn – n" ) pesos* ho& much is one notebooH?A. m – %n B. m + %n !. %m – n #. %m + n

%". >ar' can Ko Hm in 10 minutes. At that rate* ho& far in Hm can she Ko in one hour ?

A. 15 B. 1, !. 1 #.14

%. Jaluate "L " .

A. , B. %4 !. 5% #. "

%%. 6f the aerae score of >artin in 10 >ath $ui77es is ,* &hat &as his score in the ,th $ui7 if his

scores &ere recorded as follo&s "5* 0* * %0* %5* x* 1* 4* * "?

A. % B. 4 !. %4 #. 50 

%5. Msin the domain { }5*%*)*"*1 * &hich of the follo&in represents the solution set of   %")   ≥− x ?A. { }5*%*)*"*1= x B. { }5*%*)*"= x !. { }5*%*)= x #. { }5*%= x

 

%,. Ehe scale of a floor plan is 1 cm to " m. 6f a room is %.5 cm b' cm on the plan* &hat is the

  actual area of the floor in s$. meters?A. 5% B. 5, !. 54 #. ,0

 %. Jaluate  ""

10"   y xy x   +−   &hen x = 1 and ' = ".

A. % B. – 1% !. 10 #. 1%%4. Ehree 'ears ao* a randfather &as four times as old as his randson. 2ie 'ears from no&* he &ill

onl' be three times as old as his randson. :o& old in 'ears is his randson no&?

A. "0 B. "5 !. 1 #. "

%. A can of oil has a rectanular base measurin 5 dm b' dm and a heiht of % dm. 6f its oil

content is to be transferred into "liter bottles* ho& man' of these bottles are needed ?A. 10 B. "0 !. 0 #. %0

50. Ehree e$ual s$uares of side ( %x'") cm are to be placed side b' side to form a rectanle. What  is the perimeter of the resultin fiure ?

A. (" x'" ) cm B. ( " x,'%) cm !. 1, x'" ) cm #. 1, x,'%