Date post: | 06-Apr-2018 |
Category: |
Documents |
Upload: | richard-limpin |
View: | 219 times |
Download: | 0 times |
8/2/2019 1st Yr Semi Honors Exam Reviewer
http://slidepdf.com/reader/full/1st-yr-semi-honors-exam-reviewer 1/4
!
A.M.D.G.
Ateneo de Manila High School
Mathematics Subject Area Name: _________________________
SY 11–12 CN: ________ Section: 1 - A B O
3rd Term Exam Reviewer
!
Multiple Choice. Encircle the letter of the correct answer."#!$%&'%!()!*%+!)(,,(-&./!0(&.*1!,&+!(.!*%+!,&.+!23!4!56!7!28!
! ! 9#!1 1
,3 2
! "# $% &
! ! :#!1 1
,3 2
! "#$ %
& '! ! ;#!
1 1,
3 2
! "#$ %
& '! ! <#!
1 1,
3 2
! "# #$ %
& '!
=#!$%&'%!()!*%+!)(,,(-&./!'>(11?0>(@A'*1!'(.*B&.1!0(&.*! ( )3, 4! 8!
! ! 9#!C!3!D! ! ! :#!$!3!E! ! ;#!E!3!D! ! ! <#!D!3!C!
!
2#!D)!F0G!HI!,&+1!&.!HAB@>B.*!DDG!&.!-%&'%!HAB@>B.*!@(+1!FHG!?0I!,&+8!
! ! 9#!JD! ! ! :#!JDD! ! ! ;#!JDDD! ! ! <#!JDK!
!
5#!$%&'%!()!*%+!)(,,(-&./!%B1!B!/>B0%!*%B*!&1!0B>B,,+,!*(!*%+!3?B3&18!
! ! 9#!6!7!3! ! ! :#!6!7!?3!! ! ;#!6!7!2! ! ! <#!3!7!5!
!
L#!$%B*!&1!*%+!1,(0+!()!B!,&.+!0+>0+.@&'A,B>!*(!*%+!,&.+!@+1'>&M+@!M6!23!N!6!4O!7!P8!
! ! 9#!?2! ! ! :#!?"Q2! ! ! ;#!"Q2! ! ! <#!2!
!
R#!$%&'%!()!*%+!)(,,(-&./!&1!B.!&.'(.1&1*+.*!161*+S8!
! ! 9#!2 8
2 8
y x
y x
= !"#
= ! !$B.
2 4
2 4 8
y x
y x
= +!"
= +#C.
5 3
3 7
y x
y x
= !"#
= ! +$D.
2
3
x
y
=!"
=#
7. What is the solution set of 3
3
x y
x y
+ =!"
# # = #$?
A. { } B. ! C. {( , ) | 3}x y x y + = D. {(0,0)}
8. At what point do the graphs of 2x – 3y = 38 and 2x + 3y = -22 intersect?
A. (-4, 10) B. (4, -10) C. (-4, 30) D. (4, -30)
SHORT ANSWERS. Provide what is being asked for below.!!
"#!!$%B*!&1!*%+!'>(11?0>(@A'*!&,,A1*>B*+@8!
!
=#!$%B*!&1!*%+!+HAB*&(.!()!B!,&.+!0+>0+.@&'A,B>!*(!*%+!,&.+!/>B0%+@!M+,(-!&)!*%+6!&.*+>1+'*!B*!*%+!6?B3&18!
!
! ! T!"! ! ! ! ! ! !!!!T=! !
!
!
!
!
!
!
!
!!
!
!
!
!
!
!
!
!
8/2/2019 1st Yr Semi Honors Exam Reviewer
http://slidepdf.com/reader/full/1st-yr-semi-honors-exam-reviewer 2/4
2#!$%B*!&1!23!?!L6!4!"P!7!P!&.!1,(0+?&.*+>'+0*!)(>S8!
!
!
!
!
5#!$%B*!&1!*%+!1,(0+!()!B!,&.+!*%B*!0B11+1!*%>(A/%!*%+!0(&.*1!FL)G!2)4"I!B.@!F?LG!)?"I8!
!
!
!!
"#$%&'("!)*+!,-./'("0!%1234+5!67)8!49!:54*;!)9<5+!=21!:5>260!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
"#!U>B0%!B.@!,BM+,!*%+!,&.+G!V"G!*%B*!0B11+1!*%>(A/%!*%+!0(&.*!F?WG!5I!B.@!%B1!B!1,(0+!()!?LQ5#!
!=#!V=!0B11+1!*%>(A/%!*%+!0(&.*1!FRG!?=%I!B.@!F%!N!=G!?5I!B.@!%B1!B!1,(0+!+HAB,!*(!"#!
! ! B#!X&.@!*%+!YB,A+!()!%#!
!
!
!
! !
! ! M#!U>B0%!B.@!,BM+,!V=!(.!*%+!/>&@!BM(Y+#!
!
2#!D@+.*&)6!)>(S!*%+!/>B0%!*%+!1(,A*&(.!*(!*%+!161*+S!()!+HAB*&(.1!V"!B.@!V=#!
!
5#!Z%+!Y+>*&'+1!()!B!0B>B,,+,(/>BS!B>+!9FPG!5IG!:F?5G!=IG!;FPG!?"I!B.@!<#!FE+'B,,!*%B*!*%+!(00(1&*+!1&@+1!()!B!0B>B,,+,(/>BS!B>+!0B>B,,+,!*(!+B'%!(*%+>#I!
! ! B#!X&.@!*%+!+HAB*&(.!()!*%+!,&.+!'(.*B&.&./!;!B.@!<#!
!
!
!
!
!
!
!
M#!D)!*%+!+HAB*&(.!()!*%+!,&.+!0B11&./!*%>(A/%!9!B.@!<!&1!3
4
4
y x = ! + , find the coordinates of D
algebraically.
8/2/2019 1st Yr Semi Honors Exam Reviewer
http://slidepdf.com/reader/full/1st-yr-semi-honors-exam-reviewer 3/4
5. Find the values of x, y and z given the system.
1 2 15
2 2 111
1 1 2
1
x y z
x y z
x y z
!+ + = "#
##
" " =$##
+ " =#%
APPLICATION. Solve the following word problems by showing a representation, equation,solution and answer.
1. The cost of producing a certain number of bracelets follows a linear behavior. If it costs P135 toproduce 10 bracelets and P282 to produce 52 bracelets, how much will it cost to produce 150
bracelets?
2. If the numerator of a fraction is increased by one and the denominator is increased by 2, its valuebecomes 2/3. However, if 2 is subtracted from the numerator and the denominator is decreased by 1,
its value becomes 1/3. Find the original fraction.!
!
$??'@'-($.!ABA#C',A,!
!
<[!$\9Z!D]!9]^_<#!
"# X&.@!3!1(!*%B*!F3G!?OI!,&+1!(.!*%+!,&.+!"=3!N!O6!4!"W!7!P!
!
=# D)!*%+!3?&.*+>'+0*!()!5S3!4!R6!?"=S!7!P!&1!?5G!)&.@!S#!X&.@!*%+!6?&.*+>'+0*#!
!
2# $>&*+!=Y3!4!-6!7!A!&.!1,(0+?&.*+>'+0*!)(>S#!$>&*+!*%+!1,(0+G!6?&.*+>'+0*!B.@!3?&.*+>'+0*!&.!*+>S1!()!YG!-!B.@!A#!!
!5# X&.@!*%+!+HAB*&(.!*%B*!>+,B*+1!3!B.@!6!/&Y+.!*%+!)(,,(-&./!*BM,+`!
a! "! =! 2! 5! L! R!
6! "Q=! =Q2! 2Q5! 5QL! LQR! RQW!
!
L# X&.@!*%+!+HAB*&(.!()!B!,&.+!-%(1+!1,(0+!&1!R!B.@!0B11+1!*%>(A/%!FOG!?2I#!
!
R# X&.@!*%+!+HAB*&(.!()!B!,&.+!*%B*!0B11+1!*%>(A/%!F2G!RI!B.@!F?RG!OI#!
!
W# X&.@!*%+!+HAB*&(.!()!B!,&.+!0+>0+.@&'A,B>!*(!6!7!23!?R!B.@!0B11+1!*%>(A/%!*%+!1BS+!3?&.*+>'+0*#!
!
O# X&.@!*%+!+HAB*&(.Q&.+HAB,&*6!()!*%+!)(,,(-&./!/>B0%1#!!
!
!
!
!
!
!
!
!
!
!
! !
!
!
!
!
!
!
!
!
!
8/2/2019 1st Yr Semi Honors Exam Reviewer
http://slidepdf.com/reader/full/1st-yr-semi-honors-exam-reviewer 4/4
!
b# $%B*!1%(A,@!M+!*%+!YB,A+!()!c!1(!*%B*!F=G!cIG!F?=G!2c?"I!B.@!F5G!"PI!B>+!'(,,&.+B>8!
!
"P# ](,Y+!)(>!c!B.@!S!1(!*%B*!*%+!161*+S!&1!'(.1&1*+.*!@+0+.@+.*`!
0 2 ( 1) (m - 3)
0 (2 3) (3 4)
y k x
k x m y
= ! + +"#
= ! ! + +$
""# d&/A+,!1*B>*+@!*(!1BY+!B!)&3+@!BS(A.*!+Y+>6@B6#!9)*+>!"=!@B61!()!*%&1!1'%+S+G!%+!%B@!ebPb#!9)*+>!=R!@B61!()!*%&1!1'%+S+G!%+!%B@!e"GROR#!
B# $%B*!BS(A.*!@&@!%+!1+*!B1&@+!0+>!@B68!
M# \(-!SA'%!S(.+6!@&@!%+!%BY+!M+)(>+!%+!1*B>*+@!*%+!1'%+S+8!
'# \(-!SB.6!@B61!-&,,!&*!*Bc+!%&S!*(!1BY+!e""GPPP!*(!MA6!B!e]e8!
!
"=# D.!B!'%&'c+.!B.@!/(B*!)B>SG!UB1*(.!'(A.*+@!RP!B.&SB,!%+B@1!B.@!"5P!B.&SB,!,+/1#!\(-!SB.6!'%&'c+.1!B.@!/(B*1!
B>+!*%+>+!&.!*%+!)B>S8!
!
"2# [.+?)&)*%!()!*%+!1AS!()!*-(!.ASM+>1!&1!=5!B.@!%B,)!*%+&>!@&))+>+.'+!&1!b#!$%B*!B>+!*%+!*-(!.ASM+>18!
!
"5# Z%+!1&@+1!()!B.!+HA&,B*+>B,!*>&B./,+!B>+!F=3!N!WI!'SG!F3!4!6!N!bI!'S!B.@!F6!4RI!'S#!X&.@!*%+!,+./*%!()!(.+!1&@+#!
!
"L# 9!*>B&.!*Bc+1!W!%(A>1!*(!*>BY+,!)>(S!1*B*&(.!9!*(!1*B*&(.!:#!D)!&*1!10++@!&1!&.'>+B1+@!M6!"Pc0%G!&*!-&,,!*Bc+!"!,+11!
%(A>!*(!'(S0,+*+!*%+!f(A>.+6#!X&.@!*%+!@&1*B.'+!M+*-++.!*%+!*-(!1*B*&(.1#!
!
!D98!)*+!E
*+!@51F!@2G4H9!
!
?-!I&$@!',!$,JA?0!
"#!]&S0,&)6!2 2 2 2 2 2 2 2
4 3 2 6 4 3x y xy x y xy x y x y ! + + ! !
2. Subtract 24 5x x ! !)>(S!
25 4x x ! !
!
2#!dA,*&0,6! (2 3 )a b ! -&*%!(5 4 )b c ! !
5#!]&S0,&)6!
24 7
4 32
x y
x y
! "#$ %& '
!
L#!$%B*!&1!*%+!V;<!()!2 2
1 5
4 6a bc ab c + !
!
R#!]&S0,&)6!2
1
1
x
x
!
!
!
!
W#!XB'*(>! 28 45 18x x +
!!
!
O#!XB'*(>!6
8 27x ! !!
!
b#!XB'*(>!3 2
16 4 4x x y x y + ! ! !
!
"P#!]&S0,&)6!2 1
1 2a a
!
! +
!
!
""#!](,Y+!)(>!3!&.!
ax by
m cx dy
+
=
!
!
!
"=#!$%B*!&1!*%+!1(,A*&(.!()!2!N!3!g!W!N!=3!g!3!N!"8!
!
"2#!$%B*!B>+!*%+!0(11&M,+!YB,A+1!()!2 1 3 2
3 2
x x x
+ !
! > 8!
!
"5#!D)!=3!N!L!7!WG!*%+.!-%B*!&1!23!4!=!+HAB,!*(8!