Zamboanga del Norte National High School

Dipolog City 7100

MATHEMATICS 8
First Summative Test
SY 2020 – 2021
Name: _______________________________________________________ Score: _________________________
Year and Section: ______________________________________________ Date: __________________________

Multiple Choice: Read each statement carefully and shade the circle that corresponds to the letter with correct
answer.
A B C D
1. What is the Greatest Common Factor of 24 and 45?
A. 1 B. 2 C. 3 D. 6
2. What is the process of finding the factors of an expression which is the reverse process of
multiplication?
A. factoring B. rationalization C. special product D. continuous division
3. What are the complete factors of the polynomial 7𝑥 − 14?
A. 7(𝑥 − 1) B. 7(1 − 𝑥) C. 7𝑥 – 1 D. 7(𝑥 − 2)
4. Which of the following pair of numbers has a GCF of 8?
A. 2 and 3 B. 8 and 12 C. 16 and 40 D. 12 and 18
5. All of the following are factors of 12x2 EXCEPT one. What is it?
A. 6 B. 12 C. x3 D. 12x2
6. If one factor of 4x3 + 6x is 2x, what is the other factor?
A. 2x + 3 B. 4x + 6 C. 2x + 6 D. 2x2 + 3
7. Which are the complete factors of 2𝑥8 - 12𝑥6?
A. 2x6(𝑥2- 6) B. 2𝑥5(𝑥2 − 6𝑥) C. 2𝑥4(𝑥2 − 6) D. 𝑥6(2𝑥2 – 12x)
8. Which of the following is a perfect square expression?
A. 81𝑥2 B. 64𝑥 C. 9𝑥5 D. 16𝑥7
9. Which of the following is NOT a difference of two squares?
A. 9𝑎2 − 81 B. 𝑐4 − 18 C. 𝑑4 – 25f2 D. 121𝑒2 – 49
10. Which of the following expressions has factors of (4x - 5y) and (4x + 5y)?
A. 16x2 - 25 y2 B. 16x2 + 25y2 C. 4x2 + 5y2 D. 4x2 – 5y2
11. Which of the following expressions is a perfect cube?
A. 8𝑥 B. 27𝑥6 C. 64𝑥4 D. 125𝑥5
12. Using the pattern for factoring the sum of cubes, we know that factoring a3 + 𝑏3 gives
A. (a − 𝑏)(a2 − 2𝑏 + 𝑏2) B. (a − 𝑏)(a2 + 2𝑏 + 𝑏2)
C. (a + 𝑏)(a2 + 2𝑏 + 𝑏2) D. (a + 𝑏)(a2 - 2𝑏 + 𝑏2)
13. What is the complete factored form of 27𝑥3 – 64𝑦3?
A. (3x – 4y)(9x2 - 12xy + 16y2) B. (3x + 4y)(9x2 + 12xy + 16y2)
C. (3x – 4y)(9x2 + 12xy + 16y2) D. (3x + 4y)(9x2 - 12xy + 16y2)
14. What is the result when you square a binomial?
A. binomial B. difference of two squares
C. sum of two squares D. perfect square trinomial
15. All of the following are perfect square trinomials EXCEPT one. Which is it?
A. 4𝑥2 + 12𝑥𝑦 + 9𝑦2 B. x2 +4 xy + 16y2
C. 9𝑎2 − 36𝑎 + 36 D. 𝑎2 – 4ab + 4b2
16. Which of the following is equal to 4x2 − 12xy + 9y2?
A. (x − 3y)2 B. (x + 3y)2 C. (2x − 3y)2 D. (2x + 3y)2
17. What are the two numbers whose sum is -7 and whose product is 12?
A. 3 and -4 B. -3 and 4 C. -3 and -4 D. 3 and 4
18. What are the two expressions whose sum is 3x and whose product is -10𝑥2?
A. 2x and 5x B. -2x and 5x C. 2x and -5x D. -2x and – 5x
2
19. Find the missing term: (x + ___)(3x + ___) = 3x + 27x + 24
A. (8, 3) B. (3, 8) C. (4, 6) D. (6, 4)
2
20. Which of the following are the factors of x + 5x + 6?
A. (x + 1)(x + 6) B. (x + 3)(x + 2) C. (x – 1)(x + 6) D. (x + 1)(x + 5)
2
21. If one factor of 2x − 2x − 24 is x + 3, what is the other factor?
A. x – 3 B. x + 8 C. x – 8 D. 2x – 8
22. What is the complete factored form of x2 + 9x - 10?
A. (x + 2)(x + 5) B. (x + 1)(x + 10) C. (x − 2)(x + 5) D. (x − 1)(x + 10)
23. Anne squared 3x + 4y as 9x2 + 16y2, which of the following statement is TRUE?
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.
24. What is the area of a square garden whose sides measure (5x + 2) meters?
A. (25x2 + 20x + 4) meter squares B. (25x2 – 20x + 4) meter squares
C. (25x2 + 10x + 4) meter squares D. (25x2 – 10x + 4) meter squares
25. The area of a square is 9𝑥2 + 12𝑥 + 4 square units. Which expression represents the length of
the
side?
A. (3𝑥 + 2) units B. (4𝑥 + 9) units C. (2𝑥 + 3) units D. (4𝑥 + 3) units

CONGRATULATIONS!!!
KEEP UP THE GOOD WORK…
 MATHEMATICS 8

PERFORMANCE TASK # 1
(1st Quarter)
SY 2020 – 2021

Name: ______________________ Grade & Section: _________________ Score:

_______ Parent’s Cellphone No. ____________
Direction: Make a generalization for the errors found in the following polynomials.

a. x² + 9 = ( x + 3 ) ( x + 3 )

b. 3x² - 27 = is not factorable or prime.

c. Maria factored x⁴ + 25 using difference of two squares. How will you make her realize that
her answer is wrong?

RUBRICS FOR PERFORMANCE TASK # 1

CRITERIA 5 4 3 1
Generalization of Generalization is Generalization is Generalization is Generalization is
errors found accurately accurately accurately not accurate and
formulated, formulated , some formulated, most solutions are
correct solutions solutions are not solutions are wrong.
are presented. correct. wrong.
 MATHEMATICS 8

PERFORMANCE TASK # 2
(1st Quarter)
SY 2020 – 2021

Name: ______________________ Grade & Section: _________________ Score:

_______ Parent’s Cellphone No. ____________
In time of Pandemic , Mang Juan is planning to plant vegetables in his garden. He wanted to
plant kangkong , corn and onions. He needs your help on the layout of the garden.
(Hint: Factoring technique is applicable in finding the length and width of the garden).

Use the given figures on another sheet:

1. Label the area of the big square whose side is x.

2. Label the area of the rectangle whose length is x and width is 1.
3. Label the area of the small square whose side is 1.
4. Cut all the given figures, paste and arrange on a bond paper to form a big rectangle. This will
serves as the layout of the garden.
Answer the following questions:

1. How do you find the total area of the garden ?

2. What is the total area of the garden ?

3. What is the length of the garden ?

4. What is the width of the garden ?

5. Why is it important to plant vegetables ?

RUBRICS FOR GENERALIZATION AND MAKING LAYOUT

CRITERIA 5 4 3 1
The layout is The layout is The layout is The layout is
Making a layout accurately accurately made accurately not appropriate
made , ,appropriate and made but some and all answers
presentable , all answers are answers are are wrong.
appropriate correct. wrong.
and all answers
are correct.
 x x 1

X x

Kangkong plants Kangkong plants Onions

Kangkong plants Kangkong plants

x x 1

x
x x

Corn plants Corn plants

Onions
Corn plants Corn plants

x x

Corn 1 Onions 1

x x

Corn 1 Onions 1

1 1 1 x

Onions Onions Onions Onions 1

1
x

Onions 1