1. Republic of the Philippines
DEPARTMENT OF EDUCATION
Region VII, Central Visayas
SCHOOLS DIVISION OF NEGROS ORIENTAL
BOLOCBOLOC HIGH SCHOOL
Bolocboloc, Sibulan, Negros Oriental 6201
Mathematics Grade 8
2nd
Periodical Examination
Read and analyze each item. Write the letter of the correct answer on your paper.
1. What property states that adding the same number to each side of an equation gives us an
equivalent equation?
A. Addition Property of Equality C. Multiplication Property of Equality
B. Subtraction Property of Equality D. Division Property of Equality
2. What property states that if a, b, and c are real numbers, and a=b, then ac=bc or a/c = b/c?
A. Addition Property of Equality C. Multiplication Property of Equality
B. Subtraction Property of Equality D. Division Property of Equality
3. Which of the following is the slope-intercept form of y-3x+2?
A. y= -3x+2 B. y= 3x – 2 C. y= 3x+2 D. y= -3x - 2
4. Which of the following is the standard form of y= -x +7?
A. y -x = 7 B. y + x = -7 C. y -x = -7 D. y + x = 7
5. To graph a linear equation using two points we need to find the slope first. What is the
formula for finding the slope?
A. m=𝑦�2−𝑦�1 / 𝑥�2−𝑥�1 C. m=𝑦�2+𝑦�1 / 𝑥�2−𝑥�1
B. m=𝑦�2−𝑦�1 / 𝑥�2+𝑥�1 D. m=𝑥�2−𝑥�1 / 𝑦�2−𝑦�1
6. Which of the following is the last step to graph a line using the x and y-intercepts?
A. Find both intercepts on the graph and connect with a straight line.
B. Find the x-intercept by letting y=0 and solving for x
C. Find the y-intercept by letting x=0 and solving for y
7. What are the ways of graphing linear equations in two variables?
A. Using two points C. Using a slope and a point
B. Using intercepts D. All of the above
8. What is the slope-intercept form of a linear equation in two variables?
A. y = mx + b B. ax + by = c C. ax = c D. y – mx = b
9. Given x + y = 21, find the slope-intercept form.
A. y = -x – 21 B. y = x + 21 C. y = x – 21 D. y = -x + 21
10. Which of the following is the standard form of y = 9x + 2?
A. 9x+ y= - 2 B. -9x-y= -2 C. 9x-y=-2 D. -9x + y = -2
11. In the equation y=mx + b, what does b represents?
A. slope B. y-intercept C. linear D. point-slope
2. 12. What is the slope and y-intercept of the equation: y = 5x + 9?
A. m = 1 ; b = 5 B. m = -5 ; b = -9 C. m = 5 ; b = 9 D. m = 1 ; b = 9
13. What is the slope-intercept form of the equation of the line passing through the point (-3,5)
and whose slope is 2?
A. 2x + y = -11 B. y = 2x + 11 C. 2x + y = 1 D. y = 2x – 11
14. What is the slope-intercept form of the equation of the line whose slope is 5 and y-
intercept is -2?
A. 5x + y = -2 B. y = -2x + 5 C. 5x – y = 2 D. y = 5x – 2
15. Which of the following equations of the line contains the given points (0, -5) and (-7, 0)?
A. y = -5x – 7 B. 5x – 7y = -35 C. y = 5x + 7 D. 7x + 5y = -35
16. Find the equation of the line that passes through the point (−2, 2) and has the given slope
𝑚� = 3.
A. y = 3x – 4 B. y = -2x + 3 C. y = 3x + 4 D. y = 2x – 3
17. Which of the following is the equation of the line that passes through the given two points
(3, 3) and (2, 1)?
A. y = 2x – 6 B. y = 4x + 3 C. y = x + 3 D. y = 2x – 3
18. From the origin of the coordinate plane, moving 2 units down and then 3 units to the right
will lead you to what ordered pair?
A. (2,3) B. (-2,-3) C. (3,-2) D. (-3,2)
19. Which of the following points is lying on Quadrant III?
A. (1,-1) B. (-3, -4) C. (-5,2) D. (1,1)
20. Which of the following ordered pairs is the x-intercept?
A.(0,1) B. (-7,1) C. (-5,0) D. (1,1)
21. In which quadrant is the point (2, 5) located?
A. QI B. QII C. QIII D. QIV
22. Which of the points below is a y-intercept?
A. (-1,0) B. (-1,1) C. (1,0) D. (0,-1)
23. The difference between the scores of Connie and Gary in the test is not more than six
points. Suppose Connie’s score is 32 points, what could be the score of Gary?
A. 26 to 38 B. 38 and above C. 26 and below D. Between 26 and 38
24. The total amount Mario paid for two kilos of beef and three kilos of fish is less than Php
700. Suppose a kilo of beef costs Php 250. What could be the maximum cost of a kilo of fish
to the nearest pesos?
A. Php 60 B. Php 65 C. Php 66 D. Php 67
25. At most 25 large and small tables are placed inside a function room for at least 100 guests.
Suppose only 6 people can be seated around the large table and only four people for the small
tables. How many tables are placed inside the function room?
3. A. 6 large tables and 15 small tables B. 8 large tables and 10 small tables
C. 10 large tables and 8 small tables D. 10 large tables and 12 small tables
26-30. Determine whether the following are;
A. linear inequalities in two variables B. linear equations in two variables
26. 3x – 5y > 7
27. 5a + 4b = 9
28. 7m + 9n -2 < 0
29. m + n ≤ 5
30. x – 2y + 6 = 0
31. What is the graph of linear inequalities in two variables?
A. parabola B. half-plane C. straight line D. half of a parabola
32. How many solutions does a linear inequality in two variables have?
A. 0 B. 1 C. 2 D. Infinite
33-35 Illustrate the given situations into linear inequalities in two variables:
33. The difference between Aileen’s height (a) and Caila’s height (c) is more than 1.2 ft.
A. a – c > 1.2 ft. B. a – c < 1.2 ft. C. a/c > 1.2 ft. D. a/c < 1.2 ft.
34. A dozen of short pants (s) added to half a dozen of pajamas (p) has a total cost of greater
than or equal to Php 960.
A. 12s -12p ≥ 960 B. 12s +12p ≥ 960 C. 12s + 12p ≤ 960 D. None of the above
35. According to research, there are more female (f) Filipinos than male (m) Filipinos.
A. f < m B. f ≤ m C. f > m D. f ≥ m
36-38 Determine whether each ordered pair below is a solution or not a solution to the
given inequality y > x – 1.
A. Solution B. Not a solution
36. (0, 1)
37. (-4, -1)
38. (-3,-2)
39. The standard form of the equation of the line is __________.
A. Ax +By = C B. Ax – By = C
C. A + B = C D. Ax + By + C
40. The first element of the ordered pair is called ______.
A. function B. relation C. abscissa D. ordinate
41. A relation can be presented in __________.
A. Arrow Diagram B. Ordered Pairs C. Graph D. All of the above
42. The set of abscissa is called ___________.
A. range B. domain C. function D. relation
4. 43. The set of ordinate is called ___________.
A. range B. domain C. function D. relation
44. Which of the following ordered pairs satisfy both 2𝑥� + 7𝑦� > 5 and 3𝑥� − 𝑦� < 2?
A. (0, 0) B. (10, −1) C. (−4, 6) D. (2, −8)
45. Ben bought one red pen and two blue pens. The total amount he paid was at most Php 65.
If represents the cost of a red pen and the cost of each blue pen. Which of the following
mathematical statements represents the given situation? x y
A. 𝑥� + 2𝑦� ≥ 65 B. 𝑥� + 2𝑦� ≤ 65 C. 2x + y > 65 D. 𝑥� + 2𝑦� ˂ 65
46. Which sets of ordered pairs, illustrates the diagram below?
47. All functions are relations, but not all relations are functions. The statement is _______.
A. True B. False C. Neither A or B D. A and B
48. Determine if the relation {(1,2),(3,5),(4,6),(0,1)} is a function.
A. The relation is a function because every element in the domain corresponds to one element
in the range.
B. The relation is a function because every element in the range corresponds to one element in
the domain.
C. The relation is not a function because every element in the domain did not correspond to
one element in the range.
D. The relation is not a function because every element in the range did not correspond to one
element in the domain.
