First Quarter Examination
First Quarter Examination
Department of Education
Region Xll
Schools Division Office of Cotabato
BIALONG HIGH SCHOOL
Bialong, Mlang, Cotabato
______1. What is the process of finding the factors of an expression which is the reverse
process of multiplication?
A. factoring B. special product C. rationalization D. continuous division
______2. What is the Greatest Common Factor of 12 and 24?
A. 2 B. 4 C. 12 D. 24
2
______3. If one factor of 4x + 6 is 2, what is the other factor?
A. 2x + 3 B. 4x + 6 C. 2x + 6 D. 2x2 + 3
2 2 3
______4. If one factor of 6ab – 12 a b is 1 – 2ab, what is the other factor?
A. 6ab B. 6a2b C. 6ab2 D. 6a2b2
______5 Which of the following is a perfect square?
A. 12x4 B. 16x2y2 C. 25x5y6 D. 36x6y7
______6. Which of the following expressions has factors (2x - y) and (2x + y)?
A. 2x2 + y2 B. 2x2 – y2 C. 4x2 + y2 D. 4x2 – y2
______7. Using the pattern for factoring the sum of cubes, we know that factoring 8 + 𝑏 3 gives
A. (2 − 𝑏)(4 − 2𝑏 + 𝑏 2 ) B. (2 − 𝑏)(4 + 2𝑏 + 𝑏 2 )
C. (2 + 𝑏)(4 − 2𝑏 + 𝑏 ) 2
D. (2 + 𝑏)(4 + 2𝑏 + 𝑏 2 )
_____8. What is the complete factored form of 27𝑥3 – 64𝑦3?
A. (3x – 4y)(9x2 + 12xy + 16y2) B. (3x + 4y)(9x2 + 12xy + 16y2)
2 2
C. (3x – 4y)(9x - 12xy + 16y ) D. (3x + 4y)(9x2 - 12xy + 16y2)
_____9. What is the complete factored form of 10 + 270y3?
A. 10(1 + 3y)(1 + 3y +9y2) C. 10(1 - 3y)(1 + 3y +9y2)
2
B. 10(1 + 3y)(1 - 3y +9y ) D. 10(1 - 3y)(1 - 3y +9y2)
_____10. The area of a rectangular garden is 9t2 – 64 square units. If one side is 3t – 8, what is
the other side? A. 3t – 8 B. 3t + 8 C. t- 8 D. t + 8
_____11. What is the complete factored form of 8𝑥 2 − 24𝑥𝑦 + 18𝑦 2
A. 2(2x − 3y)(2x − 3y) C. 2(3x + 2y) 2
B. 2(2x − 3y)(2x + 3y) D. 2(3x − 2y) 2
_____12.Which of the following trinomials is factorable?
A. x 2 − 6x + 7 C. x 2 + 3x + 2
2
B. 2x + 5x + 10 D. 3x2 − 6x + 12
_____13.All of the following trinomials are factorable, EXCEPT one. What is it?
A. x 2 − 2x − 3 C. 2x2 + 3x – 2
2
B. x + 5x + 6 D. 2x2 + 2x + 4
_____14.What is the complete factored form of x 2 − 4x − 96?
A. (x + 8)(x − 12) C. (x − 8)(x − 8)
B. (x − 8)(x + 12) D. (x + 8)(x + 12)
_____15.What is the complete factored form of 2x2 − 6x − 8?
A. (𝑥 + 4)(2𝑥 − 2) C. (4𝑥 + 2)(𝑥 − 2)
B. (x-4)(2x+2) D. (4𝑥 − 2)(𝑥 + 2)
_____16.Which of the following trinomials has factors (3a − 2b)and(2a − b)?
A. 6a2 − 7ab + 2b2 C. 6a2 − 7ab − 2b2
2 2
B. 6a + 7ab − 2b D. 6a2 + 7ab + 2b2
_____17.A rectangular garden has an area by 6x2 + x – 2 square meter. If the length is
represented by 3x + 2, find a binomial that represents the width.
A. 2x + 1 B. x − 2 C. 2x − 1 D. x – 2
_____18. The square of a number equals five times that number. Find the number.
A. 0 or 1 B. 0 or 3 C. 0 or 5 D. 0 or 7
_____19. Find the number if one hundred less than the square of a number equals zero.
A. −10 𝑜𝑟 10 B. −20 𝑜𝑟 20 C. −30 𝑜𝑟 30 D. −40 𝑜𝑟 40
_____20. A rectangular pond has a length of 8 m more than twice its width. Solve for the length
and the width if the area of the said pond is 120 𝑚2?
Republic of the Philippines
Department of Education
Region Xll
Schools Division Office of Cotabato
BIALONG HIGH SCHOOL
Bialong, Mlang, Cotabato
A. 𝑙 = 10 𝑚, 𝑤 = 1𝑚 C. 𝑙 = 14 𝑚, 𝑤 = 3 𝑚
B. 𝑙 = 12 𝑚, 𝑤 = 2 𝑚 D. 𝑙 = 20 𝑚, 𝑤 = 6 𝑚
______21. Which of the following terms is described as "the ratio of two polynomial
expressions"?
A. linear algebraic expression B. linear algebraic equation
C. rational algebraic expression D. rational algebraic equation
______22.
______23.
______24.
______25.
______26.
______27.
______28.
______29.
_______30.
Republic of the Philippines
Department of Education
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BIALONG HIGH SCHOOL
Bialong, Mlang, Cotabato
________31.
_________32.
_________33.
_________34.
_________35.
________36.
________37.
________38.
________39.
________40.
Republic of the Philippines
Department of Education
Region Xll
Schools Division Office of Cotabato
BIALONG HIGH SCHOOL
Bialong, Mlang, Cotabato
______41.
______42.
______43.
______44.
_______45.
______46.
_____47.
_____1. Given a, b, and c are real numbers and 𝑎 ≠ 0, which of the following is the standard form of
quadratic equation?
A. 𝑎𝑥 2 + 𝑏𝑥 + 𝑐 = 0 B. 𝑎𝑥 + 𝑏 + 𝑐 = 0 C. 𝑎 = 𝑏𝑥 + 𝑐 D. 𝑎𝑥 + 𝑏 2 + 𝑐 = 0
______2. Which of the following is a quadratic equation?
A. 3𝑥 + 5 = 0 B. (𝑥 + 1) (𝑥 – 2) = 𝑥 2 C. (𝑥 + 2) (𝑥 – 3) = 5 D. 2𝑥 3 + 𝑥 2 – 5 = 0
2
______3. Given (𝑥 – 1) + 3 = 2𝑥 + 1, find the value of the constant term.
A. 1 B. 3 C. -1 D. -3
______4. Which of the following is equivalent to 𝑥 2 + 4𝑥 – 7 = 0?
A. (𝑥 + 1) (𝑥 – 7) = 0 B. (𝑥 + 4) (𝑥 – 3) = 5 C. (𝑥 + 5)(𝑥 – 3) = 6 D. (𝑥 + 1)(𝑥 + 3) = 10
______5. A rectangular lot has an area of 132𝑚2 and a perimeter of 46𝑚. Which of the following quadratic
equations illustrates the given situation?
A. 𝑥 2 − 23𝑥 + 132 = 0 C. 𝑥 2 + 46𝑥 – 132 = 0
B. 𝑥 2 + 23𝑥 + 132 = 0 D. 𝑥 2 – 46𝑥 + 132 = 0
______6. The __________ states that if x and c are real number and if 𝑥 2 = 𝑐, then 𝑥 = √𝑐 or 𝑥 = −√𝑐.
A. Square Root Property B. Multiplication Property
C. Addition Property D. Zero Product Property
______7. What are the positive and negative square root of 81?
A. ±8 B. ±16 C. ±9 D. ±7
______8. What is the practical way to solve 𝑥 2 – 25 = 0?
A. factoring B. extracting the square root
C. completing the square D. quadratic formula
______9. For any real number a and b, if ab = 0, then either a= 0 or b = 0 is called _____.
A. Zero Product Property B. Square Root Property
C. Addition Property D. Subtraction Property
______10. The (𝑥 + 3)(𝑥 – 3) is a factored form of equation ______.
A. 𝑥 2 – 3 = 0 B. 2𝑥 2 = 9 C. 𝑥 2 – 9 = 0 D. 𝑥 2 + 32 = 0
2
______11. Solve for the value of x in equation 4𝑥 + 8𝑥 = 0.
A. 𝑥 = 0, −2 B. 𝑥 = 2, −2 C. 𝑥 = 1, 2 D. 𝑥 = −1, −2
______12. Which of the following is a perfect square trinomial?
A. 𝑥 2 – 2𝑥 + 1 B. 𝑥 2 – 4𝑥 + 6 C. 𝑥 2 – 4 D. 𝑥 2 + 9
______13. In the expression x – bx + 100, what is the value of b to make the expression a perfect
2
square? A. 10 B. 5 C. 15 D. 20
______14. To find the value of b in question number 5, get the ______ of the product of the square roots
of the 𝑥 2 and 100.
A. thrice B. once C. twice D. triple
______15.
______16.
_______17.
_______18. The roots of a quadratic equation are 2 and 5.Which of the following statement is true about
the discriminant of equation?
A. The discriminant is negative.
B. The discriminant is equal to zero.
Republic of the Philippines
Department of Education
Region Xll
Schools Division Office of Cotabato
BIALONG HIGH SCHOOL
Bialong, Mlang, Cotabato
______24.
______25.
_____26.
______27.
______28.
______29.The length of a rectangle is 2 m less than twice the width. If the area of the rectangle is 112 𝑚2
, what is the width?
A. 5 m B. 8 m C. 9 m D. 14 m
______30. A piece of pipe costs ₱ 20.00. If the pipe was 1 meter shorter and each meter costs ₱ 1 more,
the cost would remain unchanged. What is the length of the pipe?
A. -4 B. -5 C. 5 D. 4
______31. A worker can clean a pool in four hours less time than it takes another worker. If the men work
together the job takes 8/ 3 hours. How long would it take the slower man working alone?
A. 6 hours B. 8 hours C. 7 hours D. 4 hours
______32. Jessie and Mark are planning to paint a house together. Jessie thinks that if he works alone, it
will take him 5 hours more than the time Mark takes to paint the entire house. Working together, they can
complete the job in 6 hours. How long will it take Jessie to finish the job?
A. 5 hours B. 15 hours C. 10 hours D. 20 hours
______33. The distance between two cities A and B is 140 km. A car driving from A to B left at the same
time as a car driving from B to A. The cars met after one hour, then the first car reached city B 35 minutes
later than the second car reached city A. Find the speed of the car from city A to B.
A. 60 km/h B. 50 km/h C. 80 km/h D. 70 km/
______34. Which of the following is in the form of quadratic inequality?
A. 𝑎𝑥2 + 𝑏𝑥 + 𝑐 > 0 B. 𝑏𝑥 + 𝑐 < 0
C. 𝑎𝑥2 + 𝑏𝑥 + 𝑐 = 0 D. 𝑏𝑥 + 𝑐 = 0
______35. Which of the following mathematical statements is a quadratic inequality?
Republic of the Philippines
Department of Education
Region Xll
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BIALONG HIGH SCHOOL
Bialong, Mlang, Cotabato
A. 5𝑡 2 − 3𝑟 − 20 = 0 B. 4𝑥 2 + 9𝑥 − 2 ≥ 0
C. 9ℎ + 18 < 0 D. 𝑚2 + 9𝑚 + 16 = 0
______36. Which of the following is true about quadratic inequality?
A. It contains a 2nd degree polynomial
B. It contains a 3rd degree polynomial.
C. Two sides of the inequality separated by “=” symbol.
D. None of the above
______37.
______38.
______39.
For number 40 to 42
A consultant advises the owners of a beauty salon that their profit p each month can be modeled
by p(x) = -50x2 +3500x – 2500, where x is the average cost that a customer is charged. What range of
costs will bring in a profit of at least 50 000?
______40.
______41.
_______42.
_______43.Throwing a ball, shooting a cannon, diving from a platform and hitting a golf ball are all
examples of situations that can be modeled by ___________________.
A) Rational Function C) Quadratic Function
B) Radical Function D) Linear Function
_______44. The graph of a quadratic function is a smooth curve called
A) Line B) Circle C) V-Shape D) Parabola
________45.
_______46
Republic of the Philippines
Department of Education
Region Xll
Schools Division Office of Cotabato
BIALONG HIGH SCHOOL
Bialong, Mlang, Cotabato
________47.
________48. Given the equation 𝑦 = −2𝑥 2 + 4𝑥 + 7, what value of m and n will make the table complete,
________49.
_________50.
Republic of the Philippines
Department of Education
Region Xll
Schools Division Office of Cotabato
BIALONG HIGH SCHOOL
Bialong, Mlang, Cotabato
________14. Find the sum of the first 12 terms of the arithmetic sequence 4, 11, 18, 25, 32, …
A) 610 B) 530 C) 510 D) 410
______15. The sum of the first 12 terms of an arithmetic sequence is 606. What is the first term if the last
term is 67?
A) 64 B) 54 C) 34 D) 44
______16. The second term of an arithmetic sequence is −16 and the eighth term is 8. What is the sum of
the first 10 terms?
A) −15 B) −20 C) 15 D) 20
______17. Find the sum of the first 40 terms of the arithmetic sequence if the first term is 16 and the tenth
term is 70.
A) 5320 B) 1720 C) 2200 D) 6320
________18.This refers to the number that is being multiplied to obtain a geometric sequence.
A. Number of Terms C. Common Difference
B. Common Denominator D. Common Ratio
______19. Which of the following statements will let you obtain the common difference of an arithmetic
sequence?
A. Divide the first term by the second term of the sequence.
Republic of the Philippines
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BIALONG HIGH SCHOOL
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B. Subtract the first term from the second term of the sequence.
C. Subtract the second term from the first term of the sequence.
D. Divide the second term by the first term of the sequence.
______20. What expression is same as (𝑎 ∙ 𝑎 ∙ 𝑎 ∙ 𝑎 ∙ 𝑎)(𝑏 ∙ 𝑏 ∙ 𝑏)?
A. 15ab B. a5 b3 C. a3 b D. 5a3b
_____ 21. What is the common ratio of the sequence 1 /7 , 1, 7, …?
A. 7 B. – 7 C. 1 /7 D. – 1 /7
______22. The first term of a geometric sequence is 2, and the second term is 10, what is the fifth term?
A. 250 B. 100 C. 500 D. 1 250
______23. The common ratio of a geometric sequence is 1 /4 , and the fourth term is 1/ 2 . What is the
third term of the sequence?
A. 1 B. 1 /2 C. 1 /4 D. 2
______24. Find the 12th term of the geometric sequence 1, 2, 4,...
A. 512 B. 1 024 C. 2 048 D. 1 112
______25.How can you indicate infinite geometric sequences?
A. Use an ellipsis C. Use a bar line above the sequence
B. Use an arrowhead D. All of these
_____ 26. Find the sum of the first six terms of a geometric sequence whose first term is 2 and common
ratio is 2 /3 .
A. 1330 /243 B. 1234 /4567 C. 760 /4551 D. 3990 /729
_____ 27. Find the sum of the first five terms of the geometric sequence 4, 6, 9…
A. 11/ 4 B. 4/ 211 C. 4/ 11 D. 211/ 4
_____ 28. Find the sum of the terms of the infinite geometric sequence 45, 15, 5,…
A. 68 B. 137 /2 C. 135 /2 D. 69
_____ 29. Find the sum of the first five terms of the geometric series 2, 8, 32, 128,…
A. 682 B. 243 C. 679 D. 743
_____30. Which of the following statements is true to all geometric sequences?
A. If the common ratio is negative, then the sequence is increasing.
B. If the common ratio is negative, then all the terms of the sequence is also negative.
C. If the common ratio is less than one, then the sequence is decreasing.
D. If the common ratio is less than one, then the sequence is increasing.
_____31. If the common ratio of a sequence is –3 and the first term is 3, then the fourth term is ___.
A. 27 B. −27 C. – 81 D. 81
_____32. Which of the following is an example of a geometric sequence?
_____33.
______34.
______35.
______41.
______42.
_______43.
_______44.
_____45.
______46.
______47.
_______48.
_______49.
_______50.
Republic of the Philippines
Department of Education
Region Xll
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BIALONG HIGH SCHOOL
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_____1. Based on the musical element timbre, arrange the following instruments according to the size:
(1 Bass 2 Banduria 3 Guitar 4 Octavina)
A. 1 2 3 4 B. 2 4 3 1 C. 3 1 4 2 D. 4 3 2 1
_____2. What musical element do the songs Atin Cu Pung Singsing and Manang Biday have in common?
A. dynamics B. melody C. meter D. timbre
_____3. Ilocano dances show inward movement and are closer to the center and their musical notes stay
close to each other. What characteristic or value does this show?
A. fright B. poorness C. proudness D. reservation
_____4. Because of its high pitch range, the banduria usually plays the melody. What musical element
does the banduria show in this situation?
A. melody B. meter C. mood D. timbre
_____5. The guitar guides the rondalla in terms of rhythm or beat. In this situation, what musical element
does not belong to the group?
A. melody B. meter C. mood D. tempo
_____ 6. It is usually played by a marching band to accompany sagalas in procession.
A. DIOS TE SALVE B. Regina Coeli Laetare C. PASYON D. ALAY
_____ 7. This song is sung by a child dressed like an angel lifting the veil of the mourning Virgin Mary.
A. DIOS TE SALVE B. Regina Coeli Laetare C. PASYON D. ALAY
______8. It is a narrative with stanzas of five lines and eight syllables.
A. DIOS TE SALVE B. Regina Coeli Laetare C. PASYON D. ALAY
______9. It is sung while people offer flowers to the image of the Virgin Mary.
A. DIOS TE SALVE B. Regina Coeli Laetare C. PASYON D. ALAY
______10. A dizzying weaving design of Ilocanos that represents the waves of the sea.
A. Binakol B. Ginaspalawanes C. Inabel D. Kain
______11. A hand weaving technique of the Ilocanos that is produced using traditional wooden looms.
A. Ginaspalawanes B. Ikat C. Inabel D. Kain
______12. The Southern Kalinga women’s wrap-around skirt or tapis.
A. Binakol B. Ginaspalawanes C. Inabel D. Kain
______13. A burial cloth woven by female elders of Mountain Province.
A. Bakwat B. Calado C. Kadangyan D. Wanes
______14. A clothing made by Gaddangs of Nueva Vizcaya used by mothers after giving birth.
A. Bakwat B. Calado C. Kadangyan D. Wanes
______15. A belt with designs composed of continuous zigzag patterns woven in double faced with
braided warps that end as tassels.
A. Ginaspalwanes B. Ikat C. Inabel D. Kain
______16. It has designs that are inspired by natural elements, patterns that depict different landforms,
and the colors of nature and animals.
A. Ginaspalawenas B. Ikat C. Inabel D. Kain
______17. The word used by Ilocanos which literally means “woven” is _____________.
A. Ginaspalawenas B. Ikat C. Inabel D. Kain
______18. It was built in 1885 located in Olongapo City, Zambales and served as the entrance to the
original Spanish naval station that provided repair, ammunition, supply, and medical support for ships.
A. Abucay Church B. Calle Crisologo C. Spanish Gate D. Tumauini Church
______19. Considered as the “Woodcarving Capital of the Philippines” located at Laguna which is
popular for the carving of saints and other religious images, decorative carvings of floral patterns and
geometric designs.
A. Abucay B. Masinloc C. Nueva Ecija D. Paete
______20. A wooden sculpture that represents the rice granary spirits and is used in rituals that are
performed to call the ancestors to protect their rice fields from pestilence and to ask for an abundant
harvest.
A. Bul’ul B. Calle Crisologo C. Giant lantern D. Higantes
______21. They are the big papier maché caricatures of humans that represent farmers and fishermen.
A. Bul’ul B. Calle Crisologo C. Giant lantern D. Higantes
______22. Generally restful, like the horizon, where the sky meets land.
A. Horizontal Lines B. Vertical Lines
Republic of the Philippines
Department of Education
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Schools Division Office of Cotabato
BIALONG HIGH SCHOOL
Bialong, Mlang, Cotabato
TEST II: Write APPROVED if the statement is true and if not, write DISAPPROVED.
__________1. Luzon lowland folksongs have a very distinctive Spanish influence.
__________2. Folksongs are generally taught in schools.
__________3. Sitsiritsit is a Tagalog folksong.
__________4. An example of a Kapampangan folk song is Sarung Banggi.
__________5. The composers and lyricists of folk songs are usually unknown.
MATH 7
Name:______________________________Section:_________________Score:___________
Instruction: Read and analyze each problem.
Multiple Choice. Choose the correct answer among the choices.
______3. Michelle listed the set of all letters in the word “serendipity” as shown below. What is wrong with
this set? A = {s, e, r, e, n, d, i, p, i, t, y}
a. It uses commas.
b. It uses braces.
c. The objects in this set are not listed once.
d. A capital letter is used to represent this set.
_____4. Given the set of letters in the word “LOVE”. What is the cardinality of the given set?
a. 11 b. 8 c. 6 d. 4
_____ 5. What is the cardinality of {10, 20, 30, …, 80}?
A8 b. 10 c. 12 d. 14
_____6. It represents the distance of a number on a number line.
A. Absolute Value C. Rational Number
B. Integers D. Scientific Notations
_____7. Which of the following represents the absolute value of -8?
______18.
______19.
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BIALONG HIGH SCHOOL
Bialong, Mlang, Cotabato
______20.
______21.
_______22.
_______23.
_______24. What do you call a number that can be expressed in the form 𝑎, where a and 𝑏 b are
integers, and b is not equal to 0?
a. Integers b. Irrational c. natural d. rational
_______25. Which of the following refers to a number whose decimal representation is neither
terminating nor repeating? This number cannot be expressed as a quotient of integers.
a. Integers b. Irrational c. natural d. rational
______26. What do you call the positive nth root of a number?
a. perfect square b. principal root c. radical d. radicand
_______27.
_______28.
_______29.
______35.
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-----------36.
_______37.
________38.
________39.
_________40. It allows us to express a very small or very large number in a compact form.
A. Scientific Notation C. Real Numbers
B. Standard form D. Standard Notation
_________ 41. Which of the following could not be able to express in scientific notation?
A. 2.30000 B. 2/3 C. -0.000219 D. 32 million
_________42. What is Four Hundred Thousand in scientific notation?
A. 4 x 104 B. 4 x 105 C. 4 x 10-4 D. 4 x 10-5
_________ 43. Which of the following represents a standard notation?
A. 2.30 x 102 B. 2.3 x 103 C. 0.000023 D. 2.3 x 1000
_________ 44. According to the history, the first pandemic was the “Spanish flu”, also known as the 1918
flu pandemic who killed about 10 million people. What is 10 million in scientific notation?
A. 1 x 106 B. 1 x 107 C. 1 x 105 D. 2 x 108
8
________ 45. Earth’s approximate distance from the Sun is about 1.4956 x 10 km. Which of the following
notation represents the distance?
A. 1,495,600 C. 149,560,000
B. 14,956,000 D.1,495,600,000