Republic of the Philippines “Where more than learning takes

Department of Education
place”
Region IV – A CALABARZON
Division of Lipa City
BUGTONGNAPULO INTEGRATED NATIONAL HIGH SCHOOL
Bugtongnapulo, Lipa City

FIRST PERIODICAL TEST IN GRADE 8 MATHEMATICS

I. Multiple Choice: Write the letter of the correct answer on your answer sheet.

1. What is the product of (xy – 1) and (xy + 8)?

a. x2y2 – 8 b. x2y2 – 9xy – 8 c. x2y2 + 7xy – 8 d. x2y2 – 7xy – 8

2. Which expression is identical to (x + y)3?

a. x3 + y3 b. (x + y)(x2 – xy + y2) c. x3 + 3x2y + 3xy2 + y3 d. (x + y)(x2 + xy + y2)

3. Give the product of (5x + 7y) and (5x – 7y).

a. 25x2 – 70xy – 49y2 b. 25x2 + 70xy – 49y2 c. 25x2 + 49y2 d. 25x2 – 49y2

4. The expression (4y3 + 9x2)2 equals _______?

a. 16y6 + 81x4 b. 16y6 + 72y3x2 + 81x4 c. 16y5 + 72y3x2 + 81x4 d. 16y6 + 36y3x2 + 81x4

5. Find the greatest common monomial factor of 3x2 – 6x.

a. 3 b. 3x c. 6x2 d. x – 2

6. What is the factored form of y(2x – 3) + 4(2x – 3)?

a. (y + 4)(2x – 3)2 b. (y + 4)(2x – 3) c. 4y(2x – 3)2 d. 4y(2x – 3)

7. What is the factored form of 9x2 – 25y2?

a. (9x – y)(x + 25y) b. (3x – 5y)(3x – 5y) c. (9x + 5y)(x – 5y) d. (3x + 5y)(3x – 5y)

8. Determine the factored form of 4a2 – 20ab + 9b2.

a. (2a – b)(2a – 9b) b. (2a – b)(2a + 9b) c. (2a + b)(2a – 9b) d. (2a + b)(2a + 9b)

9. The expression 81x2 – 90x + 25y2 is an example of a ________?

a. sum of two squares b. difference between 2 squares
c. sum of two cubes d. perfect square trinomial

10. The factored form of the algebraic expression y2(2x – 3) – 4(2x – 3) is ________?
a. y2 – 4(2x – 3)2 b. (2x – 3)(y2 – 4) c. (y + 2)(y – 2)(2x – 3) d. (y2 – 4)(2x – 3)2

1 1
11. Find the product of ( a – 5b) and ( a + 5b).
3 3
1 2 1 1 1 2 1
a. a – 25b2 b. a – b c. a – 10b2 d. a – 10b
9 9 25 6 6

12. Find the missing term: (x + __)(3x + __) = 3x2 + 27x + 24

a. 6, 4 b. 4, 6 c. 8, 3 d. 12, 2

13. Evaluate the sides of a rectangle with an area of x2 + 3x + 2.

a. (x + 1) and (x + 2) b. (x – 1) and (x – 2) c. (x – 1) and (x + 2) d. (x + 1) and (x – 2)

14. Identify the length of a rectangle with an area of (x2 + 10x) square units if the width is x units.

Contact No. (043)4172608/Email:bugtongnapulonhs74@gmail.com/Website:https://depedlipacity.com.ph/schools/301488

 Republic of the Philippines “Where more than learning takes
Department of Education
place”
Region IV – A CALABARZON
Division of Lipa City
BUGTONGNAPULO INTEGRATED NATIONAL HIGH SCHOOL
Bugtongnapulo, Lipa City

a. x2 b. x2 + 10 c. x + 10 d. (x + 10)2

15. Which of the following expressions is a rational algebraic expression?

−3
x 3c a−b
a. b. 0 c. 4y-2 + z-3 d.
√3 y √(a+1) a+b

16. What is the value of a non-zero polynomial raised to 0?

a. one b. zero c. undefined d. cannot be determined

2
x −1
17. What rational algebraic expression is the same as ?
x−1
a. x + 1 b. x – 1 c. 1 d. – 1
18. Angelo can complete his school project in x hours. What part of the job can be completed by Angelo
after 3 hours?
x 3
a. x + 3 b. x – 3 c. d.
3 x
a2 −1
19.Aaron was asked by his teacher to simplify on the board. He wrote his solution on the board this
a2−a
way:
2
a −1 ( a−1 )( a+1)
2 = =1
a −a a(a – 1)
Did he arrive at the correct answer?

a. Yes. The expressions that he crossed out are all common factors.
b. Yes. The LCD must be eliminated to simplify the expression.
1
c. No. a2 must be cancelled out so that the answer is .
a
d. No. a is not a common factor of numerator.
2
x +2 x−8
20. James was asked to simplify 2 . His solution is presented below.
x −4
x2 +2 x−8 ( x+ 4 ) (x −2) ( x+ 4 ) 4
= = = =2
2
x −4 ( x +2 ) (x−2) ( x +2 ) 2
What makes the solution of James wrong?
a. cancelling 4. c. x2 – 4 being factored out.
b. crossing out the (x – 2). d. dividing out the variable x.
x−3 y c 8
21. What is the value of the expression when x is 2, y is 3 and c is -2?
x2 y−2 c 7
27 27 32 32
a. - b. c. d. -
16 16 27 27

22. Your father, a tricycle driver, asked you regarding the best motorcycle to buy. What will you do to help
your father?
a. Look for the fastest motorcycle. c. Find an imitated brand of motorcycle.
b. Canvass for the cheapest motorcycle. d. Search for fuel-efficient type of motorcycle.

Contact No. (043)4172608/Email:bugtongnapulonhs74@gmail.com/Website:https://depedlipacity.com.ph/schools/301488

 Republic of the Philippines “Where more than learning takes
Department of Education
place”
Region IV – A CALABARZON
Division of Lipa City
BUGTONGNAPULO INTEGRATED NATIONAL HIGH SCHOOL
Bugtongnapulo, Lipa City

23. The manager of So-In Clothesline Corp. asked you, as Human Resource Officers, to hire more tailors to
meet the production target of the year. What will you look in hiring a tailor?
a. speed & efficiency b. speed & accuracy c. time conscious & personality d. experience & personality

24. You own three hectares of land and you want to mow it for farming. What will you do to finish it at a very
least time?
a. Rent a small mower b. Hire 3 efficient laborers. c. Do kaingin. d. Use germicide.

25. Your friend asked you to make a floor plan. As an engineer, what aspects should you consider in doing
the
plan?
a. precise & realistic b. layout & cost c. logical & sufficient d. creative & economical

26. Your SK Chairman planned to construct a basketball court. As a contractor, what will you do to realize
the
project?
a. Show a budget proposal. c. Present a feasibility study.
b. Make a budget plan. d. Give a financial statement.

27. As a contractor in number 26, what is the best action to do in order to complete the project on or before
the deadline but still on the budget plan?
a. All laborers must be trained workers. c. Add least charge equipment and machines.
b. Rent more equipment and machines. d. Trained and amateur workers must be proportionate.

28. (x-3y-4)0 is equivalent to

1
a. x3y4 b. 3 4 c. 0 d. 1
x y
29. What will be the result when a and b are replaced by 2 and -1, respectively, in the expression
a
?
−7 b
27 5 3 2
a. b. c. d.
16 16 7 7
30. Which of the following expressions is equal to -1?
2 x +1 3 x +6 x−1
a. b. c. d.
2 x−1 3 1−x
2
x +x
2x
( x +5)² ( x+6)³
31. Multiply ·
x+6 x +5
( x +6) ²
a. b. (x +5)² (x+ 6)³ c. (x +6) ² d. (x +5)( x+ 6)²
x+ 5
5 x 3 15 x
32. Divide ¿ .
4 8

Contact No. (043)4172608/Email:bugtongnapulonhs74@gmail.com/Website:https://depedlipacity.com.ph/schools/301488

 Republic of the Philippines “Where more than learning takes
Department of Education
place”
Region IV – A CALABARZON
Division of Lipa City
BUGTONGNAPULO INTEGRATED NATIONAL HIGH SCHOOL
Bugtongnapulo, Lipa City

2 2 2
2x x x
a. 2 x ² b. c. d.
3 3 6
4 y −3 5−3 y
33. Add +
y +2 2+ y
y−2 2
a. y +2 b. c. 1 d.
y +2 y+ 2
x+ 9 −4 x−6
34. Subtract −
x+3 x +3
5 x−3 3 5 x +3
a. b. c. d. 5
x+3 x+3 x +3
8 2
35. Find the LCD of 2 and .
x −9 x−3
a. (x +3) b. (x−3) c. ( x−9) d. (x +3)(x−3)
36. Find the slope of the line through (-5,2) and (-3,6)
a. -3 b. -2 c. 1 d. 2

37. Find the slope of the line whose equation is 4 x− y=12

a. 12 b. -1 c. 4 d. -4

38. All of the following equations are true about slopes EXCEPT one..
rise change ∈ y
a. m= c. m=
run change∈ x

y− y change ∈horizonta distance

b. m= d. m=
x−x change∈vertical distance
39. Which equation had undefined slope?
a. x−4=0 b. y +5=0 c. x + y=0 d. 2 x− y=0

40. Which of the following is the slope intercept form of the linear equation 2 x− y=4?
a. y=2 x−4 b. y=−2 x +4 c. y=−2 x−4 d. y=2 x +4

True or False. Write True if the statement is correct and False if the statement is wrong. Write your answer
on your answer sheet.
__________41.The point of intersection of co-ordinate axis is called the origin.

__________42. Points (-2,-8) lies on Quadrant II.

__________43. The point where the line crosses the y-axis is called y-intercept.

__________44. The equation of a line is the ratio of the vertical rise of a line to its horizontal run.

__________45. Cartesian Coordinate System is the system used in graphing number pairs in Mathematics.

__________46. If the slope is positive the line goes downward as x increases.

__________47. The pairs of coordinates that lie on Quadrant I is both positive.

Contact No. (043)4172608/Email:bugtongnapulonhs74@gmail.com/Website:https://depedlipacity.com.ph/schools/301488

 Republic of the Philippines “Where more than learning takes
Department of Education
place”
Region IV – A CALABARZON
Division of Lipa City
BUGTONGNAPULO INTEGRATED NATIONAL HIGH SCHOOL
Bugtongnapulo, Lipa City

__________48. The slope intercept form of a linear equation is denoted by y=mx+b .

__________49. A linear equation in two variables is an equation that can be written in the form ax +by +c =0

__________50. x +6 y=2 is an example of linear equation in two variables.

Prepared by :
JEADRYL G. LINATOC
Teacher II

Noted by : LIEZEL M. VILLANUEVA Ph.D.

Principal I

Contact No. (043)4172608/Email:bugtongnapulonhs74@gmail.com/Website:https://depedlipacity.com.ph/schools/301488