Republic of the Philippines
Department of Education
Region XI
DIVISION OF DAVAO DE ORO
Maco North District
1ST QUARTER EXAMINATION IN MATHEMATICS 8
Direction: Read and analyze each item carefully. Choose the correct answer by SHADING the letter that
corresponds to your answer in the separate ZIPGRADE SHEET.
1. What is the process of finding factors to write polynomials in simpler form which is the inverse of
multiplication?
A. Special Product
B. Factoring
C. Reciprocal
D. Rationalization
2. What is the GCF of 2x2y, 4xy2 and 8x2y2?
A. 2xy
B. 2x2y
C. 4xy
D. 4x2y
3. Which of the following mathematical statement is correct?
A. (x2 – 9) = (x + 1)(x + 9)
C. (x2 – 4) = (x – 3)(x – 3)
B. (x2 – 9) = (x – 1)(x + 9)
D. (x2 – 4) = (x – 3)(x + 3)
4. If one of the factors of a perfect square trinomial is 3y + 4z, what is the other factor?
A. 3 + 4z
B. 3y + 4z
C. 3y – 4z
D. y – 4z
2
5. One of the factors of x + 5x – 14 is x + 7, what is the other factor?
A. x + 1
B. x – 1
C. x + 2
D. x – 2
6. Find the length of the side of a square if the area is twice its perimeter.
A. 4
B. 8
C. 10
D. 12
7. The square of a number is equals to twice the number increased by 24. Find the number.
A. 4 or 6
B. - 4 or - 6
C. 4 or – 6
D. - 4 or 6
2
8. The area of a rectangle is x + 8x + 12 and the width is x + 2, what is the length?
A. x + 2
B. x + 4
C. x + 6
D. x + 8
9. An expression in fraction form in which the numerator and the denominator are polynomials.
A. Rational Algebraic Expression
C. Polynomial Expression
B. Rational Algebraic Equation
D. Polynomial Equation
10. The following are rational algebraic expressions EXCEPT?
5
A. 𝑦−2
B.
𝑥+5
2
C.
11. What is “Four less than twice x” in symbols?
A. 4 – 2x
B. 2x – 4
4𝑎
12. What will be the value of a in
A. -2
13. What is the sum of
A. x
𝑎+2
6𝑥
and
1
6𝑥
B.
𝑥
𝑥+3
C. x – 2
5𝑥 −2
𝑥−2
D. 2 – x
C. -5
D. 5
in simplest form?
1
C.
6𝑥
14. What expression will you multiply by
A.
D.
that will make the rational expression undefined?
B. 2
5
4𝑥 + 1
3
B. x + 3
𝑥 2 −3𝑥
𝑥 2 + 3𝑥−10
1
D.
𝑥
to get the product of
C.
𝑥+2
𝑥
𝑥
𝑥+5
6
𝑥
?
D.
𝑥 −2
𝑥−3
15. An isosceles triangle has two sides of length 3x + 6. The perimeter of the triangle is 7x + 14, what is the ratio
of the base to the perimeter?
A.
3𝑥
7
B.
1
7
C.
7𝑥
3
D.
7
3
16. Zeroun and Zureen were planning to paint the wall of their room. If Zeroun can do the work in 3 hours and
Zureen can the same in 4 hours, how long will it take them to paint the wall if they will work together?
A. 1 hour
B. 1.3 hours
C. 1.7 hours
D. 2 hours
17. How many quadrants does the Rectangular Coordinate System have?
A. 3
B. 4
C. 5
D. 6
18. Which among these mathematicians was the Cartesian Plane named after?
A. René Descartes
B. Blaise Pascal
C. Pythagoras
D. Euclid
19. At what quadrant point (-1, 5) is located?
A. QI
B. QII
C. QIII
D. QIV
20. In plotting the point (-5, 2), which describes the movement along the x-axis and the y-axis?
A. 5 units right then 2 units up
C. 5 units up then 2 units left
B. 5 units left then 2 units up
D. 5 units down then 2 units left
21. What is 2x – y = -3 in slope-intercept form?
A. y = 2 x – 3
B. y = 2x + 3
C. y = x + 3
22. Which of the following pair of points with -1 as a slope?
A. (2, 2) and (6, 3)
B. (-2, 0) and (0, -2)
C. (5, -5) and (-6, -4)
23. What is the slope of the graph on the figure at the right?
D. y = x – 3
D. (3, 2) and (4, -9)
A. 0
B. 1
C. 2
D. 3
24. In the linear equation y = -3x + 4, what happens to y as the value of x increases?
A. increases
B. decreases
C. doubled
D. tripled
25. What is the equation of the line with a slope of -2 and passes through the point (2, 5)?
A. y = x + 9
B. y = 2x + 3
C. y = -2x + 9
D. y = 3x + 2
26. If the line passes through points (-5, 3) and (0, -7), what is the equation of the line?
A. y = -2x – 7
B. y = 2x – 2
C. y = 3x – 4
D. y = 2x – 1
27. Ean’s age is three times the sum of the ages of his two sons. Ean’s age will be twice the sum of the ages of
his two sons after 5 years, what is his age?
A. 42 years old
B. 43 years old
C. 44 years old
D. 45 years old
28. The table below shows the relationship between the perimeter of a square and its side. What is the side of the
square if its perimeter is 132 cm?
Sides
Perimeter
3
12
6
24
9
36
12
48
A. 30 cm
B. 33 cm
C. 36 cm
29. Which of the following is a system of linear equations in two variables?
𝑥 − 2𝑦 = 5
2𝑥 − 3𝑦 = 1
𝑥 + 𝑦 =5
A. {
B. {
C. {
𝑥 + 2𝑦 = 8
3𝑥 + 𝑦 > 2
𝑦 > 5𝑥
2𝑥 − 𝑦 = 2
30. Which of the following ordered pair is a solution to {
?
2𝑥 + 𝑦 = 6
A. (1, 2)
B. (-1, 3)
C. (2, 2)
2𝑥 + 𝑦 = 2
31. Which is the graph of the system of linear equation {
?
−2𝑥 + 3𝑦 = − 18
A.
C.
15
60
D. 39 cm
D. {
2𝑥 + 𝑦 = 3
4𝑥 + 2𝑦 > 5
D. (3, 2)
B.
D.
−2𝑥 + 5𝑦 = −15
−4𝑥 + 10𝑦 = 10
A. intersecting
B. coincide
C. parallel
3𝑥 + 𝑦 = −1
33. Which of the following is the graph of the system {
2𝑥 + 𝑦 = 0
A.
C.
32. Determine the graphs of the system of linear equations {
B.
D. none of these
D.
34. A number is one less than twice another number. If their sum is 20, what are the numbers?
A. 3 and 17
B. 4 and 16
C. 6 and 14
D. 7 and 13
𝑥 + 𝑦 = 2
35. What is the point of intersection of the graph {
?
𝑥 − 𝑦 = 4
A. (3, -1)
B. (3,1)
C. (-3, -1)
D. (-3,1)
36. Anne and Marie are sisters who are saving money for their mother’s birthday gift. Anne have 60 pesos and
Marie has 120 pesos. If Anne is saving 7 pesos per week and Marie is saving 5 pesos per week, how many
weeks will it be before they have the same amount of money?
A. 15
B. 21
C. 26
D. 30
37. The length of a rectangle is 5 units more than twice its width. If the area is 250sq. units, what are the
dimensions of the rectangle?
A. width = 10 units, length = 25 units
C. width = 125 units, length = 2 units
B. width = 50 units, length = 5 units
D. width = 250 units, length = 2 units
38. Two angles are complementary, one angle is twice the other. What is the measure of the two angles?
A. 20° and 70°
B. 30° and 60°
C. 40° and 50°
D. 44° and 46°
39. What is the value of two numbers if the sum is 17 and the difference is 3?
A. 10 and 7
B. 10 and 9
C. 11 and 9
D. 12 and 3
40. If the number of females in a class of 50 students is two more than five times the number of males, how many
males and females are there in the class?
A. 30 males and 20 females
C. 22 males and 20 females
B. 8 males and 42 females
D. 18 males and 20 females