Republic of the Philippines Department of Education Region IV-A CALABARZ! Di"ision of Batangas District of #al"ar Don Julio Leviste Memorial Vocational High School First Periodical Examination MAPEH 7 August$ %& '()*-'()+
!ame$ ,rade and %ection$
Date$ %core$
Instruction Instruction %hade the letter of .our ans/er on the ans/er sheet pro"ided 0se dar1 pencil onl. 2 3hich of the follo/ing is the simplified form of )2 3hich of the follo/ing is the standard form of the e4uation =<6 ' 7 25 <%ho/ .our solution for = 4uadratic e4uation5 points2 A2 A6 A6 7 B. 7 C 8 ( A2 -=6' 7 )( ' B2 a6 7 b6 7 c 8 (9 a is not e4ual to ( B2 =6' - ') C2 a6' 7 b6 7 c : (9 a is not e4ual to ( C2 -=6' 7 > D2 . 8 m6 7 b D2 =6' 7 ') '2 ;ransform f<62 8 -=<67'2 ' 7 ' into general form of the 4uadratic function <%ho/ .our solution for = points2 A2 f<62 8 -=6 -=6' - )'6 - )( B2 f<62 8 -=6' 7 )'6 7 )( C2 f<62 8 -=6 ' 7 )'6 - )( D2 f<62 8 =6 ' - )'6 7 )( =2 A =cm b. =cm s4uare piece of cardboard /as cut from a bigger s4uare cardboard ;he area of the rema remain inin ing g cardb rdborad rad /as >(cm' cm' If s repres represen ents ts the the length length of the bigge biggerr cardb cardboar oard9 d9 /hich of the follo/ing e6pressions gi"e the are of the the rema remain inin ing g piec piece5 e5
( B2 s' 7 @ D2 s - @ >2 3hich of the follo/ing follo/ing e4uation e4uation represe represents nts a 4uadratic function5 A2 '.' 7 = 8 6 B2 . 8 =6 - '' C2 . 8 = 7 '6 ' D2 . 8 '6 - = '
*2 If '6 - p6 7 8 ( has e4ual roots and p (9 then the "alue of p is <%ho/ .our solution for ' points2 A2 C2 ) B2 > D2 ' +2 It is a pol.nomial e4uation of degree t/o that can be /ritten in the form a6 ' 7 b6 7 c 8 (9 /here a9 b9 c are real numbers and a is not e4ual to ( A2 4uadratic 4uadratic e4uation e4uation B2 linear ine4ualit. C2 4uadratic ine4ualit. D2 linear e4uation 2 ;he sum of the roots of >6 ' 7 6 - = 8 ( <%ho/ .our solution for = points2 A2 -' C2 - )* B2 )' D2 - *
@2 3hat is the absolute "alue of -=5 A2 -= B2 -)= C2 )= D2 = )(2 ;he length of the garden is * m longer than its /idt /idth h and and the the area area is )>m )>m ' o/ o/ lon long is the the garden5 <%ho/ .our solution for = points2 A2 *m C2 m B2 @m D2 'm ))2 3hic 3hich h of the the foll follo/ o/in ing g rati ration onal al alge algebr brai aic c e4uations e4uations is transformable transformable to a 4uadratic e4uation5 <%ho/ .our solution for = points2 5
7
A2
2
7
7
(s +2 ) -
2 1
C2
m
+
5
(m + 1)
(2 t −1) D2
5
8s
( w +2)
(w + 1) B2
8
4
8
=5 m
+ 2 = 3 t 3
4
)'2 A perfect s4uare trinomial is a trinomial in the form$ A2 a' 7 'ab 7 b' C2 a ' 7 ab 7 b' B2 a' 7 b' D2 a= - 'ab - b' )=2 3ha 3hat is the highest degree ree of a line inear e4uation5 A2 ) C2 = B2 ( D2 ' )>2 It is the highest or lo/est point the parabola /ill reach A2 s.mmetr. C2 "erte6 B2 all of the abo"e D2 a6is
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)*2 3hat is the highest degree of the linear function5 A2 ) C2 ( B2 ' D2 = )+2 ;he 4uadratic function . 8 -'6 ' 7 >6 - = A2 real and e4ual of Feros B2 real and une4ual Feros C2 e4ual and not real D2 no real roots )2 3hich of the follo/ing is the Guadratic Hormula5
−b ± √ b − 4 ac 2
A2
2a
b±
B2
√ b −4 ac
'+2 If the e4uation 6 ' -'6 - 8 ( has roots m and n9 the e4uation /hose roots are )m and )n is <%ho/ .our solution for = points2 A2 6' - '6 - 8 ( B2 6' 7 '6 - ) 8 ( C2 6' 7 6 - ) 8 ( D2 none of the abo"e '2 3hat is the nature of the follo/ing of the 4uadratic if the "alue of this discriminant is Fero5 A2 ;he roots are rational and not e4ual B2 ;he roots are not real C2 ;he roots are rational and e4ual D2 ;he roots are irrational and not e4ual
2
2a
−b ± √ b + 4 ac 2
C2
'*2 ;he 4uadratic function f<62 8 6 ' 7 '6 - ) is e6pressed in standard form as <%ho/ .our solution for = points2 A2 f<62 8 <67)2' - ) B2 f<62 8 <67)2 ' 7 ' C2 f<62 8 <67)2 ' - ' D2 f<62 8 <67)2 ' 7 )
2a
D2 none of the abo"e )2 3hat is the constant or the c term in the e4uation 6 ' 7 *6 7 8 (5 A2 ) B2 C2 = D2 ' )@2 3hich of the follo/ing 4uadratic e4uation is in the standard form5 A2 6 7 )' 8 6' B2 6' 7 6 7 )' 8 ( C2 6' 7 6 8 -)' D2 6' 8 -)' - 6 '
'(2 ;he discriminant of 6 7 >6 7 = 8 ( is A2 )' C2 > B2 )= D2 * ')2 ;he product of the roots of the e4uation B2 - D2 -) ''2 3hat is the highest degree of the 4uadratic function5 A2 ' C2 ) B2 ( D2 = '=2 3hich of the follo/ing is a 4uadratic e4uation5 A2 =m - 8 )' B2 -*n' 7 >n -) C2 '6' -6 8 = D2 t' 7 *t - )> '>2 If 6' 7 m6 7 8 ( can be sol"ed b. factoring and m (9 then m is <%ho/ .our solution for = points2 A2 C2 ( B2 ' D2
'2 3hich of the follo/ing Guadratic E4uation has no real roots5 <%ho/ .our solution for = points2 A2 '6' 7 >6 8 = B2 -'r ' 7 r 7 8 ( C2 =s' - 's 8 -* D2 t' - t - > 8 ( '@2 3hat are the roots of the 4uadratic e4uation 6 7 6 - *+ 8 (5 < %ho/ .our solution for = points2 A2 and - B2 - and C2 = and -' D2 ' and -)
'
=(2 3hich of the follo/ing is being used to indicate ine4ualit. A2 B2 8 C2 : D2 none of the abo"e =)2 3hich of the follo/ing "alues of 6 ma1e the e4uation 6 ' 7 6 - ) 8 (5 <%ho/ .our solution for = points2 I -@ II ' III @ A2 II and III B2 I and III C2 I and II D2 I9 II9 and III ='2 one of the roots of '6 ' - )=6 7 '( 8 ( is > 3hat is the other root5 A2 '* B2 - *' C2 - '* D2 *' ==2 3hich of the follo/ing coordinates of points belong to the solution set of the ine4ualit. . : '6 ' 7 *6 - )5 <%ho/ .our solution through tabular method for * points2 A2 <-=9 '2 B2 <-'9 @2 C2 <=9 )2
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D2 <)9 +2 =>2 ;he a6is of s.mmetr. of the function . 8 <6 ? '2 ' 7 = is <' points pro"e .our ans/er2 A2 6 8 ' B2 6 7 ' 8 ( C2 6 8 -' D2 6 7 = 8 ( =*2 ;he length of a /all is )' m more than its /idth If the area of the /all is less than *( m '9 /hich of the follo/ing could be its length5 <%ho/ .our solution for = points2 A2 )+m B2 >m C2 =m D2 )*m =+2 In the e4uation 6 ' 7 =6 7 8 (9 /hich is the b term5 A2 ) B2 = C2 D2 ' =2 ;he 4uadratic e4uation /hose solutions are = and -)= is <%ho/ .our solution for = points2 A2 =6' - ==6 - = 8 ( B2 =6' 7 6 - = 8 ( C2 =6' - ==6 7 = 8 ( D2 =6' - 6 - = 8 ( =2 o/ man. real roots does the 4uadratic e4uation 6 ' 7*6 7 8 ( ha"e5 <%ho/ .our solution for = points2 A2 = B2 ) C2 ( D2 ' =@2 3hat is the sum of the roots of the 4uadratic e4uation 6 ' 7 +6 - )> 8 (5 <%ho/ .our solution for ' points2 A2 - B2 -+ C2 -= D2 )> >(2 A 4uadratic ine4ualit. is an e4uation of the form A2 a6 7 b : ( B2 6 8 ba ≤
C2 a6' 7 b6 7 c /ith 9
≥
D2 a6 7 b
( /ith a is not e4ual to ( or
or : ≤0
/ith a is not e4ual to ( or /ith :89
or : >)2 ;he coordinates of the "erte6 of . 8 6 ' 7 * A2 <(9 *2 B2 <)9 -*2 C2 <)9 -*2 D2 <(9 -*2
A2 6' 7 @6 7 '( 8 ( B2 6' - 6 7 '( 8 ( C2 6' 7 6 - '( 8 ( D2 6' - @6 - '( 8 ( >=2 ;he graph of . 8 6 ' - = is obtained b. sliding the graph of . 8 6 ' A2 = units do/n/ard B2 = units up/ard C2 = units to the left D2 = units to the right >>2 In the e4uation 6 ' 7 6 7 )' 8 (9 /hich is the a term5 A2 )' B2 C2 ( D2 ) >*2 3hich of the follo/ing 4uadratic e4uation can be sol"ed easil. b. e6tracting s4uare roots5 t' - @ 8 ( C2 '/' 7 / - = 8 ( D2 6' 7 6 7 )' 8 ( >+2 3hat are the t/o consecuti"e e"en numbers /hose product is (5 A2 J'9 >K B2 J>9 +K C2 J+9 K D2 J9 )(K >2 In the e4uation a6 ' 7 b6 7 c 8 (9 a is not e4ual to A2 ( B2 ) C2 ' D2 = >2 ;he sum of the number and its s4uare is ))(9 Hind the number <%ho/ .our solution for = points2 A2 )( B2 )) C2 )' D2 )= >@2 3hich of the follo/ing is the formula for discriminant5 A2 b' - >ac B2 ?b' - >ac C2 b' 7 >ac D2 ?b' 7 >ac *(2 If the discriminant is greater than ( and is a perfect s4uare9 3hat is nature of the roots5 A2 real9 rational and e4ual B2 real9 irrational and not e4ual C2 not real D2 none of the abo"e
>'2 ;he roots of a 4udratic e4uatrion are -> and -* 3hich of the follo/ing 4uadratic e4uation has these roots5 <%ho/ .our solution for = points2
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,od Bless
Ans/er e. )2 '2 =2 >2 *2 +2 2
B A A C A A A
Poi$ )( Poi$ )( Poi$ =( Poi$ )( Poi$ '( Poi$ )( Poi$ =(
2 @2 )(2 ))2 )'2 )=2 )>2 )*2 )+2 )2 )2 )@2 '(2 ')2 ''2 '=2 '>2 '*2 '+2 '2 '2 '@2 =(2 =)2 ='2 ==2 =>2 =*2 =+2 =2 =2 =@2 >(2 >)2 >'2 >=2 >>2 >*2 >+2 >2 >2 >@2 *(2
D D D C A A C A D A B B C B A D A C B C C B C C D C A C B D C B C A A A D B D A A A A
Poi$ =( Poi$ )( Poi$ =( Poi$ =( Poi$ )( Poi$ )( Poi$ )( Poi$ )( Poi$ )( Poi$ )( Poi$ )( Poi$ )( Poi$ )( Poi$ =( Poi$ )( Poi$ )( Poi$ =( Poi$ =( Poi$ =( Poi$ )( Poi$ =( Poi$ =( Poi$ )( Poi$ =( Poi$ =( Poi$ )( Poi$ '( Poi$ =( Poi$ )( Poi$ =( Poi$ =( Poi$ '( Poi$ )( Poi$ '( Poi$ =( Poi$ )( Poi$ )( Poi$ =( Poi$ )( Poi$ )( Poi$ =( Poi$ )( Poi$ )(
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