Republic of the Philippines
Region V – Bicol
Department of Education –Division of Camarines Sur
SAN JOSE PILI NATIONAL HIGH SCHOOL – ANNEX
La Purisima, Pili, Camarines Sur
School Year 2020-2021
FIRST SUMMATIVE TEST IN MATHEMATICS 8
“YOU DON’T NEED LUCK, YOU HAVE THE SKILLS. GIVE THIS TEST YOUR BEST SHOT.”
NAME: _______________________________________________
YEAR & SECTION: ______________________________________
DATE: ____________________
SCORE: ___________________
MULTIPLE CHOICE: Direction: Read and analyze each statement carefully. From the given options, encircle the letter that
correspond the correct answer.
1. Which statement is true?
a. The square of a binomial is also a binomial
b. The product of a sum and difference of two terms is a binomial.
c. The product of a binomial and a trinomial is the square of a trinomial.
d. The terms of the cube of a binomial are all positive.
2. Which of the following can be factored?
a. 0.08x3 – 27y3
b. 1.44(x2 + 1) – 0.09
c. 24xy(x – y) + 5(x + y)
3. Which of the following values of k will make x2 – 5x + k?
a. 5
b. 12
c. -10
d. -14
4. What should be multiplied to (2x – 5) to get 4x2 – 25?
a. 2x + 5
b. 2x – 5
c. 4x2 + 10x + 25
5. What should be multiplied to (3y + 2) to get 27y3 + 8?
a. 3y + 2
b. 3y – 2
6. Find (2x – 7)2.
a. 4x4 – 49
b. 4x4 - 14x2 + 49
7. Multiply: (8x3y2 – z5) (8x3y2 + z5)
a. 64x6y4 – z10 b. 64x9y6 – z15
8. Multiply: (m + 3)(m2 – 3m + 9)
a. m2 – 9
d. 0.027(x2 + 1)3 – 8
d. 4x2 – 10x + 25
c. 9y2 + 6y + 4
d. 9y2 - 6y + 4
c. 4x4 – 28x2 + 49
d. 4x4 – 28x2 – 49
c. 64x6y4 – 16x3y2z5 + z10
b. m3 + 9
d. 64x6y4 – 8x3y2z5 + z10
c. m3 – 2
d. m3 + 27
9. Which of the following is a perfect square trinomial?
a. x2 + 10xy + 100y2
b. x2 - 10xy + 100y2
c. x2 – 20xy + 100
10. Which of the following is a sum of two cubes?
a. x3 + 9
b. x3 – 1
c. x6 + 8
11. Which of the following are the factors of 81x2 – 4?
a. (9x +2)(9x – 2)
b. (3x + 2)(3x – 2)
d. x2 – 20xy + 100y2
d. x6 + 16
c. (3x + 2)(9x2 – 6x + 4)
d. (3x - 2)(9x2 + 6x + 4)
12. What is the greatest common factor in the expression 28x8y4z6 + 16x3y4z5?
a. 8x3y4z5
b. 4x3y4z5
c. 4x4y4z3
d. 8x4y4z3
13. Factor 3m(m – 4) – (m – 4).
a. (m – 4)(m + 1)
b. (3m – 1)(m – 4)
c. (m – 4)2(3m – 1)
d. 3m(m – 4)2
14. Factor 7t(t – 5) + (5 – t).
a. (-t +5)(7t + 3)
b. (-t +5)(7t – 3)
c. (t – 5)(7t + 3)
d. (t – 5)(7t – 3)
15. Factor 27x3 – 64.
a. (3x – 4)(9x2 – 12x + 16)
b. (3x – 4)(9x2 + 12x + 16)
c. (3x – 4)(9x2 + 24x + 16)
d. (3x + 4)(9x2 – 24x + 16)
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16. Factor x2 – 16x + 15
a. (x + 5)(x – 3)
b. (x – 5)(x – 3)
c. (x + 15)(x + 1)
d. (x – 15)(x – 1)
17. Factor 4m2 + 7mn – 2n2.
a. (2m – n)(2m + n)
b. (4m + n)(m – 2n)
c. (4m – n)(m + 2n)
d. (4m – 2n)(m + n)
18. Factor -5x3 + 5x.
a. 5x(x2 – 1)
c. -5x(x + 1)(x – 1)
d. 5x(-x2 + 1)
b. -5x(x2 + 1)
19. Find the missing term so that 16x4 + _____+ 25 forms a perfect square trinomial.
a. 20x
b. 20x2
c. 40x
d. 40x2
20. What is the area of a square whose side is 4x – 1?
a. 16x2 – 1
b. 16x2 – 8x + 1
c. 16x2 + 8x + 1
d. 16x2 + 4x + 1
21. What is the area of a rectangle whose length is (4x + 3) and whose width is (x – ½)?
a. 4x2 – x – 3/2
b. 4x2 + 2x +3/2
c. 4x2 + 5x – 2
d. 4x2 + x – 3/2
22. The area of a rectangular garden is (12x2 – 8x – 15)m2, what are its dimensions?
a. (3x – 5)m by (4x + 3)m
c. (6x – 3)m by (2x – 5)m
b. (6x + 5)m by (2x – 3)m
d. (12x – 15)m by (x + 1)m
23. Liza factored the expression 15x2y3 + 10x4y + 5xy as 5xy(3xy2 + 2x3). Did Liza factor it correctly?
a. No, because 5xy is not the common factor.
b. Yes, because the last term is cancelled out.
c. Yes, there exists a common factor on all terms.
d. No, because the last term when factored is 1 and should not be omitted.
24. Anne squared the expression 3x + 4y as 9x2 + 16y2, which of the following statement is correct with the answer of
your classmate?
a. The answer is correct because to square a binomial distribute the exponent.
b. The answer is wrong because the product of squaring a binomial is a trinomial.
c. The answer is correct because the product of squaring a binomial is another binomial.
d. The answer is wrong because to square a binomial is to multiply the expression by 2.
25. Below is the solution of Rogelio in factoring 3x4 – 243
3(x4 – 81)
(x2 – 9)(x2 + 9)
(x + 3)(x – 3)
Is the solution of Rogelio correct?
a. No because the other factors was omitted.
b. No because it lacks 3 as its factor.
c. Yes because 3x4 – 243 is divisible by x + 3.
d. Yes because the complete factorization of the expression is (x + 3)(x – 3)
26. Which of the following expressions does not belong to the group?
c.
a.
d.
b. 𝑥2 – 0.0001𝑦4
8(𝑥 – 1)3 − 27
(𝑥 + 1)4 – 4𝑥4
27. One factor of 4𝑥2𝑦2 – 12𝑥𝑦 is 4𝑥𝑦. What is the other factor?
a. (𝑥𝑦 − 3)
b. (𝑥2𝑦2 – 3𝑥𝑦)
( 𝑥𝑦 – 3𝑥𝑦)
(𝑥2𝑦2 + 3)
c.
d.
28. The area of a square is 9𝑥2 + 30𝑥 + 25 square units. Which expression represents the length of the side?
a. (9𝑥2 + 25)
c. (3𝑥 − 5) (3𝑥 + 5)
2
b. (3𝑥 − 5)
d. (3𝑥 + 5)2
29. In the polynomial 64𝑥2– 100, one factor is (8𝑥 − 10), what is the other factor?
a. 8𝑥 + 50
c. 8𝑥 − 10
b. 8𝑥 − 50
d. 8𝑥 + 10
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30. Which of the following are the factors of 27𝑟3 + 64?
a. (3𝑟 − 4)(9𝑟2 + 12𝑟 + 16)
b. (3𝑟 + 4)(9𝑟2 − 12𝑟 + 16)
c.
d.
(3𝑟 + 4)(9𝑟2 + 12𝑟 + 16)
(3𝑟 − 4)(9𝑟2 − 12𝑟 + 16)
31. What are the missing terms in 8𝑥3 − 27 = (2𝑥 − ___ ) ( 4𝑥2 + 6𝑥 + ___)?
a. 9 and 3
c. 3 and 9
b. 1 and 27
d. 27 and1
32. Which of the following is NOT a perfect square trinomial?
a. 𝑥2 − 10𝑥 + 5
b. 𝑥2 + 8𝑥 + 16
c.
d.
𝑥2 − 10𝑥 + 25
𝑥2 − 12𝑥 + 36
33. Which trinomial has factors of (𝑥 − 7)(𝑥 − 7)?
a. 𝑥2 − 16𝑥 + 64
b. 𝑥2 + 8𝑥 + 64
c.
d.
𝑥2 − 7𝑥 + 49
𝑥2 − 14𝑥 + 49
34. Which of the following values of will make 𝑥2 + 16𝑥 + 𝑘 factorable?
c. 16
a.
d. 64
b.
For item numbers 35 – 36, refer to the problem below.
The square of a number decreased by 20 is 16. Find the numbers.
35. What is the correct representation of the problem if x be the number?
a. 𝑥2 + 20 = −16
c. 𝑥2 + 20 = 16
b. 𝑥2 − 20 = 16
d. 𝑥2 − 20 = 16
36. What is the correct answer to the problem?
a. 3 and -3
b. 4 and -4
c. 5 and -5
d. 6 and -6
For item numbers 28 – 29, refer to the problem below.
Gina is 4 years older than Joshua. Two years ago, the product of their ages is thrice
the age of Joshua now. How old are they?
37. In which of the following tables gives correct representation of the problem?
a.
b.
c.
d.
Joshua
Gina
Present Age
𝑥+4
Age 2 years ago
𝑥+2
𝑥−2
Present Age
Age 2 years ago
𝑥−2
𝑥+2
Joshua
Gina
Joshua
Gina
𝑥+4
Present Age
4𝑥
Age 2 years ago
4𝑥 − 2
𝑥−2
Present Age
Age 2 years ago
𝑥−2
4𝑥 − 2
Joshua
Gina
38. How old is Joshua at present?
a. 4
b. 6
4𝑥
c. 8
d. 10
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39. What are the literal coefficients in the expression 5x + 3y +2z?
a. x and y
b. x and z
c.
d.
y and z
x, y and z
40. What are the operations used in the expression 5x + 8y – 9?
a. + only
b. – only
c.
d.
Both + and –
Neither + nor –
41. What is the constant in the expression 5x2 – 3x + 9?
a. 2
b. 3
c.
d.
5
9
42. What is the name of a term with no variable in an algebraic expression?
a. Coefficient
c. Constant
b. Variable
d. Factor
43. What expression contains operations, numbers, and one or more variables?
a. Basic Expressions
c. Algebraic Expressions
b. Numerical Phrases
d. Operational Coefficients
44. What expression refers to the ratio of both polynomial numerator and denominator?
a. Algebraic Expression
c. Rational Numerical Phrase
b. Basic Rational Expression
d. Rational Algebraic Expression
45. Why is it important to know the excluded value/s of a rational algebraic expression?
a. Can determined the values that can make the denominator equal to one
b. Can determined the values that can make the denominator equal to zero
c. Can determined the values that can make the denominator equal to positive numbers
d. Can determined the values that can make the denominator equal to negative numbers
46. What is the excluded value of the rational function,
a. Q(x) ≠ 0
b. Q(x) = 0
c. Q(x) ≥ 0
d. Q(x) ≤ 0
47. Which of the following is an algebraic expression?
a. 5x2 + 4y = 8
b. 2x + 4
c. 4 + 5 = 9
d. 7 + 2
48. Simplify the expression
a. –1
b.
𝑥−𝑦
𝑦−𝑥
c. 1
𝑥−𝑦
d.
𝑦−𝑥
49. What rational algebraic expression is the same as
4𝑦 2 −25
a. y + 5
b. y – 5
50. Simplify this rational algebraic expression
a.
b.
6
𝑎+4
6
𝑎−4
Prepared by:
ANGELI C. DASMARIÑAS
Adviser
2𝑦−5
𝑥+𝑦
𝑦−𝑐
?
c. 2y + 5
d. 2y – 5
6𝑎−24
𝑎2 −8𝑎+16
c.
d.
12
𝑎+4
12
𝑎−4
Noted by:
SANDY A. SALDIVAR
OIC, SJPNHS – La Purisima
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