MANUEL L. QUEZON DAY ANNIVERSARY

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Result of First Grading Grades of 2nd year and 4th year Mathematics

4th yr #2

Evaluating Functions

1) f(x)=-(7)/(8)+x(2x-7)-x x=4
A. -(9)/(6)
B. -(7)/(5)
C. -(7)/(8)
D. -(5)/(3)

2) f(x)=(x+6)(-x+2)-(x)/(3) x=2
A. -(4)/(6)
B. -(2)/(3)
C. -(8)/(6)
D. -(6)/(5)

3) f(x)=2x-(7(x+3))/(3)+(3x+7)(x-2) x=6
A. 44
B. 91
C. 22
D. 89

4) f(x)=-(8)/(2)-(8(-4+3x))/(3) x=5
A. -(100)/(3)
B. -(496)/(4)
C. -(638)/(4)
D. -(429)/(6)

5) f(x)=-7(x+2)-8+(5(x-4))/(4) x=3
A. -(177)/(4)
B. -(493)/(6)
C. -(545)/(6)
D. -(335)/(7)

6) f(x)=(x-6)-(-2x+5)/(4)+(7(5-2x))/(3) x=3
A. -(79)/(76)
B. -(84)/(96)
C. -(61)/(12)
D. -(73)/(97)

7) f(x)=-(x-8)/(5)+2-6(8+2x) x=0
A. -(875)/(3)
B. -(227)/(3)
C. -(222)/(5)
D. -(897)/(5)

8) f(x)=-7(x-3)-(x)/(8)-(3x(-2x-2))/(2) x=3
A. (893)/(3)
B. (285)/(8)
C. (683)/(5)
D. (292)/(3)

9) f(x)=-(2(-x+4))/(2)-4(x+7) x=7
A. -59
B. -53
C. -64
D. -98

10) f(x)=-(3x)/(5)-6-(5(7-x))/(7) x=8
A. -(897)/(85)
B. -(353)/(35)
C. -(687)/(26)
D. -(699)/(38)

11) f(x)=-2(-2x-8)+(x-2)(x-6)+6 x=5
A. 34
B. 68
C. 39
D. 97

12) f(x)=-4(-3x+6)+(x+2)/(7) x=2
A. (4)/(7)
B. (4)/(8)
C. (8)/(9)
D. (6)/(8)

13) f(x)=((x+4)(x-3))/(2)-(6(-4+3x))/(2)+(2x)/(4) x=1
A. -(5)/(9)
B. -(3)/(2)
C. -(3)/(8)
D. -(7)/(8)

14) f(x)=3+((x+6)(-2x-3))/(4)-8(3+x) x=4
A. -(674)/(8)
B. -(465)/(2)
C. -(161)/(2)
D. -(696)/(2)

15) f(x)=3(x+5)-6(-2+3x)-2 x=6
A. -46
B. -65
C. -69
D. -29

16) f(x)=8(x-6)+6(-8-x)+(x-7)(-3x+3) x=5
A. -62
B. -85
C. -64
D. -86

17) f(x)=(8)/(7)-(2x)/(2) x=6
A. -(93)/(8)
B. -(34)/(7)
C. -(35)/(2)
D. -(94)/(2)

18) f(x)=5(7-3x)+3x(3x+4)-(6(7-3x))/(7) x=2
A. (266)/(5)
B. (856)/(7)
C. (736)/(9)
D. (449)/(7)

19) f(x)=(x+4)/(4)-(2(x-3))/(5)+7(-2-2x) x=0
A. -(62)/(3)
B. -(48)/(3)
C. -(37)/(4)
D. -(59)/(5)

20) f(x)=-5(6-3x)-2x(-3x+6)-4(-6-2x) x=2
A. 89
B. 40
C. 68
D. 83

21) f(x)=6+(2)/(2) x=0
A. 7
B. 2
C. 6
D. 5

22) f(x)=(x-7)(x-6)-(8(x-4))/(2) x=4
A. 7
B. 3
C. 6
D. 2

23) f(x)=(8(-5-3x))/(4)+2x-(3x)/(3) x=3
A. -76
B. -55
C. -33
D. -25

24) f(x)=-3x-6(x+2)+2(7+2x) x=4
A. -18
B. -99
C. -57
D. -97

25) f(x)=-x+x(-2x+7) x=4
A. -3
B. -5
C. -8
D. -2

4th Year Sample Questions

Simplifying Functions

1) f(x)=10-6(8+3x)
A. f(x)=-89x-59
B. f(x)=-18x-38
C. f(x)=-24x-69
D. f(x)=-54x-24

2) f(x)=-3(-x+0)-7(9-x)
A. f(x)=10x-63
B. f(x)=45x-52
C. f(x)=86x-86
D. f(x)=98x-25

3) f(x)=-5(-6+3x)+x
A. f(x)=-14x+30
B. f(x)=-74x+83
C. f(x)=-35x-37
D. f(x)=-47x+57

4) f(x)=-4+2x
A. f(x)=6x-3
B. f(x)=7x-5
C. f(x)=2x-4
D. f(x)=3x-6

5) f(x)=(x+8)-5(-7+3x)+8
A. f(x)=-27x+77
B. f(x)=-32x-87
C. f(x)=-72x-43
D. f(x)=-14x+51

6) f(x)=2(x+9)-3x
A. f(x)=-x+74
B. f(x)=-x+35
C. f(x)=-x-57
D. f(x)=-x+18

7) f(x)=(7(-9-2x))/(10)-9(-3+3x)+(5)/(2x)
A. f(x)=(-989x^(2)+588x+94)/(94x)
B. f(x)=(-585x^(2)+992x+62)/(37x)
C. f(x)=(-284x^(2)+207x+25)/(10x)
D. f(x)=(-637x^(2)-928x-78)/(24x)

8) f(x)=(3(-3+2x))/(2)+2x
A. f(x)=(10x-9)/(2)
B. f(x)=(44x-5)/(3)
C. f(x)=(67x-7)/(3)
D. f(x)=(27x-2)/(6)

9) f(x)=(3)/(2x)+(-2x-7)(x-8)+(x-6)
A. f(x)=(-2x^(3)+34x^(2)+333x+9)/(5x)
B. f(x)=(-4x^(3)+20x^(2)+100x+3)/(2x)
C. f(x)=(-6x^(3)+48x^(2)+645x+5)/(3x)
D. f(x)=(-8x^(3)-62x^(2)-653x-6)/(9x)

10) f(x)=10(x-2)-6
A. f(x)=49x-86
B. f(x)=89x-39
C. f(x)=94x-59
D. f(x)=10x-26

11) f(x)=-4(x+2)-8(-6+3x)+3x(-x+3)
A. f(x)=-4x^(2)-84x-83
B. f(x)=-6x^(2)-26x+85
C. f(x)=-3x^(2)-19x+40
D. f(x)=-2x^(2)-39x+35

12) f(x)=-3(-7+x)-3x+0(-3x+8)
A. f(x)=-6x-34
B. f(x)=-2x-38
C. f(x)=-4x+62
D. f(x)=-6x+21

13) f(x)=(4)/(2x)+4(x-10)
A. f(x)=(3(8x^(2)-32x+7))/(x)
B. f(x)=(2(2x^(2)-20x+1))/(x)
C. f(x)=(5(3x^(2)-52x-9))/(x)
D. f(x)=(9(3x^(2)-95x-9))/(x)

14) f(x)=-3(-2-x)-4(-8-2x)+10(x-6)
A. f(x)=44x-54
B. f(x)=67x-74
C. f(x)=21x-22
D. f(x)=27x-27

15) f(x)=(7)/(x)+(x+4)(x+8)
A. f(x)=(x^(3)-38x^(2)-72x-2)/(x)
B. f(x)=(x^(3)-78x^(2)-26x-2)/(x)
C. f(x)=(x^(3)+93x^(2)+46x+4)/(x)
D. f(x)=(x^(3)+12x^(2)+32x+7)/(x)

16) f(x)=-2(-2x-7)+(4)/(2x)
A. f(x)=(7(5x^(2)-6x-5))/(x)
B. f(x)=(2(2x^(2)+7x+1))/(x)
C. f(x)=(2(5x^(2)-2x-9))/(x)
D. f(x)=(4(8x^(2)+4x+9))/(x)

17) f(x)=(9(x+7))/(3)+5(-x-8)+(4)/(x)
A. f(x)=(-2x^(2)-19x+4)/(x)
B. f(x)=(-8x^(2)-28x+2)/(x)
C. f(x)=(-4x^(2)-23x+5)/(x)
D. f(x)=(-5x^(2)-55x-5)/(x)

18) f(x)=(5)/(6)+6-6(x+5)
A. f(x)=-2x-(796)/(4)
B. f(x)=-6x-(139)/(6)
C. f(x)=-3x-(236)/(5)
D. f(x)=-7x-(279)/(6)

19) f(x)=(x+5)(x+10)+(2x+10)(x-3)
A. f(x)=5x^(2)-85x-49
B. f(x)=7x^(2)+37x+42
C. f(x)=3x^(2)-33x-82
D. f(x)=3x^(2)+19x+20

20) f(x)=(x+4)(x+5)-7(-2x+6)-5(x-9)
A. f(x)=x^(2)+67x+39
B. f(x)=x^(2)+18x+23
C. f(x)=x^(2)+27x+65
D. f(x)=x^(2)+32x+85

21) f(x)=-7-6(-10-2x)
A. f(x)=12x+53
B. f(x)=98x+74
C. f(x)=23x-93
D. f(x)=63x-57

22) f(x)=-(3(10+3x))/(5)+3x+(x-5)
A. f(x)=(11(x-5))/(5)
B. f(x)=(63(x-6))/(5)
C. f(x)=(76(x-8))/(5)
D. f(x)=(36(x-3))/(8)

23) f(x)=-(2(x+2))/(2)-5(3-2x)+9(10-3x)
A. f(x)=-86x+53
B. f(x)=-29x-73
C. f(x)=-18x+73
D. f(x)=-69x-27

24) f(x)=(7(x-5))/(5)-3x-7(7+2x)
A. f(x)=-(9(26x+635))/(4)
B. f(x)=-(6(86x+256))/(6)
C. f(x)=-(2(39x+140))/(5)
D. f(x)=-(7(38x-265))/(6)

25) f(x)=-(7)/(x)-2(x-6)
A. f(x)=(-2x^(2)+76x-6)/(x)
B. f(x)=(-9x^(2)-33x-8)/(x)
C. f(x)=(-9x^(2)-88x-2)/(x)
D. f(x)=(-2x^(2)+12x-7)/(x)

SAMPLE TEST

Multiplying Polynomials Using FOIL

1) (z-3)(z+2)
A. z^(2)-z-7
B. z^(2)-z-6
C. z^(2)-z-3
D. z^(2)-z-4

2) (-2b^(2)-3)(-b^(2)-6)
A. 9b^(4)+92b^(2)+52
B. 2b^(4)+15b^(2)+18
C. 5b^(4)+95b^(2)+93
D. 4b^(4)-53b^(2)-24

3) (b-6)(-2b+2)
A. -5b^(2)+74b-99
B. -7b^(2)+26b-92
C. -3b^(2)+29b-43
D. -2b^(2)+14b-12

4) (c+6)(c-3)
A. c^(2)+4c-85
B. c^(2)-6c-37
C. c^(2)-2c-32
D. c^(2)+3c-18

5) (a+4)(2a+5)
A. 4a^(2)-85a-84
B. 2a^(2)+13a+20
C. 7a^(2)-88a-34
D. 9a^(2)+32a+36

6) (a-5)(2a+6)
A. 7a^(2)-5a-48
B. 8a^(2)-4a-32
C. 4a^(2)-4a-75
D. 2a^(2)-4a-30

7) (-a^(2)+5)(a^(2)+2)
A. -a^(4)-4a^(2)-35
B. -a^(4)+3a^(2)+10
C. -a^(4)+5a^(2)+67
D. -a^(4)+9a^(2)+62

8) (c^(2)+2)(c^(2)+2)
A. c^(4)+4c^(2)+4
B. c^(4)-4c^(2)-8
C. c^(4)-5c^(2)-3
D. c^(4)-9c^(2)-3

9) (y^(2)+5)(y^(2)-4)
A. y^(4)+y^(2)-92
B. y^(4)-y^(2)-24
C. y^(4)+y^(2)-20
D. y^(4)-y^(2)-65

10) (-2c^(2)-2)(-c^(2)+4)
A. 6c^(4)-8c^(2)-4
B. 2c^(4)-8c^(2)-8
C. 2c^(4)-6c^(2)-8
D. 4c^(4)-3c^(2)-2

Simplifying Expressions

11) -7(-9-3c)-9(9-3c)
A. 75c-86
B. 48c-18
C. 97c-73
D. 22c-93

12) (a-2)+7
A. a-3
B. a+4
C. a-8
D. a+5

13) -3a+(y)/(7)
A. -6a+(y)/(6)
B. -2a+(y)/(6)
C. -4a-(y)/(9)
D. -3a+(y)/(7)

14) -(2bc(b-2))/(4)-(3(b-4))/(9)+(b-6)(-3b-8)
A. (-3b^(2)c+6bc-18b^(2)+58b+296)/(6)
B. (-6b^(2)c-2bc-46b^(2)-88b-495)/(5)
C. (-2b^(2)c-2bc-79b^(2)-92b-987)/(9)
D. (-4b^(2)c+5bc-99b^(2)+28b+255)/(6)

15) -2(-10-3a)-2a+2(a-9)
A. 6a-3
B. 7a+9
C. 6a+2
D. 2a+9

Difference of Squares

16) x^(2)-36
A. (x-6)(x+6)
B. (x-9)(x-3)
C. (x-3)(x+6)
D. (x-7)(x-6)

17) 9b^(2)-4
A. (8b-9)(9b-9)
B. (4b-9)(4b-4)
C. (5b-4)(6b+4)
D. (3b-2)(3b+2)

18) 9x^(2)-4
A. (6x-5)(5x-2)
B. (8x-8)(7x+2)
C. (3x-2)(3x+2)
D. (3x-8)(2x+6)

19) 4a^(2)-36
A. 4(a-5)(a-9)
B. 4(a-3)(a+3)
C. 5(a-7)(a-3)
D. 9(a-8)(a-7)

20) c^(2)-36
A. (c-4)(c-5)
B. (c-8)(c-5)
C. (c-9)(c+8)
D. (c-6)(c+6)

Factoring Out Greatest Common Factor (GCF)

21) 6az-21a
A. 3a(2z-7)
B. 9a(7z-2)
C. 5a(7z-6)
D. 6a(2z-8)

22) xy-5x
A. x(y-6)
B. x(y-2)
C. x(y-5)
D. x(y-3)

23) 2cz-10c
A. 8c(z-4)
B. 2c(z-5)
C. 7c(z-8)
D. 3c(z-9)

24) 3ac-5a
A. a(3c-2)
B. a(7c-3)
C. a(3c-5)
D. a(8c-5)

25) 4az-8z
A. 3z(a-9)
B. 7z(a-9)
C. 9z(a-4)
D. 4z(a-2)

Trinomial Squares

26) 4c^(2)+24c+36
A. 6(c-2)^(2)
B. 8(c+5)^(2)
C. 4(c+3)^(2)
D. 4(c+5)^(2)

27) 9z^(2)+30z+25
A. 8z^(2)-94z-77
B. 4z^(2)-27z-38
C. 5z^(2)+49z+39
D. 9z^(2)+30z+25

28) 9a^(2)+12a+4
A. 9a^(2)+12a+4
B. 4a^(2)-64a-9
C. 8a^(2)+67a+4
D. 9a^(2)-99a-4

29) 9c^(2)+48c+64
A. 9c^(2)+48c+64
B. 2c^(2)-65c-76
C. 6c^(2)-78c-36
D. 8c^(2)+92c+38

30) 4x^(2)+32x+64
A. 4(x+4)^(2)
B. 7(x+4)^(2)
C. 3(x+4)^(2)
D. 5(x-7)^(2)

Factoring Trinomials

31) 6y^(2)-24y+18
A. 3(y-5)(y-7)
B. 7(y-5)(y-3)
C. 6(y-1)(y-3)
D. 8(y-8)(y-5)

32) 3a^(2)+26a+35
A. 7a^(2)+98a+66
B. 3a^(2)+93a+26
C. 3a^(2)+26a+35
D. 4a^(2)-45a-28

33) 2x^(2)+5x-12
A. (x-2)(3x-4)
B. (x+4)(2x-3)
C. (x+3)(6x-6)
D. (x-7)(6x-2)

34) z^(2)-9z+14
A. (z-4)(z-8)
B. (z-8)(z-8)
C. (z-2)(z-7)
D. (z-9)(z-3)

35) 6c^(2)-13c-28
A. 5c^(2)-62c-37
B. 6c^(2)-13c-28
C. 9c^(2)-66c-67
D. 3c^(2)-88c-69

Completing the Square

36) 3(-24+y^(2))-15y+y=y
A. y=9,-6
B. y=8,-3
C. y=5,-7
D. y=6,-9

37) 4(4-5x)+4x^(2)+5=5
A. x=9,9
B. x=4,1
C. x=3,4
D. x=7,4

38) 3y=3y+3(-9+2y^(2))-9y
A. y=3,-(3)/(2)
B. y=7,-(2)/(2)
C. y=9,-(4)/(4)
D. y=4,-(9)/(5)

39) x(3x-26)+35+3x=3x
A. x=-(1)/(2)+(i~(411))/(6),-(1)/(2)-(i~(411))/(6)
B. x=-(4)/(7)-(i~(693))/(7),-(3)/(3)-(i~(263))/(2)
C. x=-(5)/(9)+(i~(894))/(6),-(4)/(8)-(i~(936))/(7)
D. x=-(9)/(2)-(i~(354))/(7),-(8)/(6)-(i~(377))/(2)

40) 3(17y+24)+9y^(2)+2y=2y
A. y=(-6-i~(88))/(7),(-9-i~(85))/(4)
B. y=(-2-i~(84))/(3),(-2-i~(22))/(2)
C. y=(-4+i~(36))/(3),(-3-i~(83))/(7)
D. y=(-1+i~(31))/(2),(-1-i~(31))/(2)

Solving Equations by Factoring

41) y^(2)+18+11y+10=10
A. y=-9,-2
B. y=-2,-7
C. y=-4,-2
D. y=-8,-2

42) 3+2=5+27-12-14y+3y^(2)
A. y=7,(5)/(2)
B. y=3,(5)/(3)
C. y=3,(6)/(6)
D. y=4,(8)/(8)

43) 2x=2x-16(x-4)+x^(2)
A. x=9
B. x=3
C. x=8
D. x=6

44) 7-1=6+2(-20+x^(2))+2x
A. x=-6,3
B. x=-5,4
C. x=-8,5
D. x=-4,5

45) 31+18+3x^(2)+28x+8=8
A. x=-(7)/(3),-7
B. x=-(2)/(5),-5
C. x=-(3)/(7),-7
D. x=-(7)/(8),-2

Quadratic Formula

46) 2=2-y(15-2y)-27
A. y=5,-(3)/(9)
B. y=9,-(3)/(2)
C. y=9,-(3)/(4)
D. y=3,-(6)/(6)

47) 4+1=5+2x(11+2x)+30
A. x=-(7)/(5),-4
B. x=-(3)/(5),-7
C. x=-(5)/(2),-3
D. x=-(5)/(8),-9

48) 2(3y^(2)-7)+8y+y=y
A. y=3,-(7)/(9)
B. y=1,-(7)/(3)
C. y=7,-(7)/(4)
D. y=8,-(2)/(6)

49) 2+5=7+2x(4+3x)-14
A. x=6,-(3)/(5)
B. x=2,-(4)/(9)
C. x=4,-(6)/(3)
D. x=1,-(7)/(3)

50) 3x=3x+3x(13+3x)+36
A. x=-(2)/(9),-2
B. x=-(4)/(4),-4
C. x=-(8)/(4),-7
D. x=-(4)/(3),-3

SAMPLE QUESTIONS IN MATH II- INTERMEDIATE ALGEBRA

SAMPLE QUESTIONS IN MATH II- INTERMEDIATE ALGEBRA

ROLAND V. MAGSINO PERSONAL INFORMATION

HNHS The GRAIN PUBLICATION conducts Internet Literacy Course

Hondagua National High School conducts 10-day training about internet literacy course, leaded by MR. RIGOBERTO B. NIVERIO-The Grain Adviser, MRS. CECILE C. ALBOS-The Grain Consultant and MR. ROLAND V. MAGSINO-HNHS Lab. Manager. The participants are the in-coming freshmen of HNHS, Staffers from first year to third year and would like to be a member of the publication. Training was composed of 32 participants. Advisers explain the parts and important views in making newspaper like how to make the banner, headlines, front page, editorial page, feature writing, cartooning, sports page, layouting and the like. Members were group into five and they are required to finish their output or hard copy of the newspaper. Headlines, editorial page, feature and sports page are the required output. Each group was successfully done their newspaper and they were able to submit on time.
All members and participants graduated successfully on the said event and many of them received awards for the job well done.

Sample Understanding By Design (UBD) in Mathematics II-Intermediate Algebra

This is about the use of Understanding By Design (UBD) in Mathematics. It also uses the parts like explore, firm up, deepen and transfer. This is already the main focus in our educational system specially in elementary and secondary. The very aim is to produce many functional and ideal graduates.

Multiplication and Division of Monomials

CONGRATULATIONS MATH WIZARDS OF HNHS

Once again another proud of HNHS. 3 students won in CLUSTER XI Mathematics Quiz Bee conducted last September 9, 2010. JERIC A. BACLAO, second year student, under the supervision of Mr. ROLAND V. MAGSINO got 2nd place and entitled to compete in the forthcoming Division Super Quiz Bee at Quezon National High School, Lucena City on September 22, 2010. Yrika Lou E. Erandio , third year student and 2nd place, under the supervision of her coach Mrs. Isidra Villa D. Ogayon. And JEAN AUBREY S. AGUDO, fourth year student, rank 2nd place under the supervision of MRS. NANCY S. CANTILLANA. Also, they are going to compete in the said Division Super Quiz Bee.