Republic of the Philippines

Department of Education
REGION III – CENTRAL LUZON
SCHOOLS DIVISION OFFICE OF BATAAN
MARIVELES NATIONAL HIGH SCHOOL – CABCABEN ANNEX (ALASASIN)
ALASASIN, MARIVELES, BATAAN

FIRST PERIODIC EXAMINATION IN

MATHEMATICS 9

Name: Date:
Grade and Section: Score:

Instruction. Multiple Choice. Choose the best answer. Use capital letters. (Letters only)

1) Which of the following is the standard form of

quadratic equation? 8) Which of the following is the simplified form of
A) Ax + By + C = 0 the equation 3(x2 + 7)? (Show your solution for 3
B) ax2 + bx + c = 0, a is not equal to 0 points)
C) ax2 + bx + c < 0, a is not equal to 0 A) -3x2 + 10
D) y = mx + b B) 3x2 - 21
C) -3x2 + 4
2) Transform f(x) = -3(x+2)2 + 2 into general form of D) 3x2 + 21
the quadratic function. (Show your solution for 3
points) 9) What is the absolute value of -3?
A) f(x) = -3x2 - 12x - 10 A) -3
B) f(x) = -3x2 + 12x + 10 B) -1/3
C) f(x) = -3x2 + 12x - 10 C) 1/3
D) f(x) = 3x2 - 12x + 10 D) 3

3) A 3cm by 3cm square piece of cardboard was 10) The length of the garden is 5 m longer than its
cut from a bigger square cardboard. The area of width and the area is 14m2. How long is the
the remaining cardboard was 40cm2. If s garden? (Show your solution for 3 points)
represents the length of the bigger cardboard, A) 5m C) 7m
which of the following expressions give the area of B) 9m D) 2m
the remaining piece? (sketch the cardboard
partition for 3 points) 11) Which of the following rational algebraic
A) s2 – 9 C) s2 + 40 equations is transformable to a quadratic equation?
2
B) s + 9 D) s - 9 (Show your solution for 3 points)
7 5 7
4) Which of the following equation represents a A) + =
2 (s+2) 8 s
quadratic function? ( w+1) ( w+2 )
A) 2y2 + 3 = x B) - =7
B) y = 3x - 22 2 4
C) y = 3 + 2x2 1 5
C) + =5 m
D) y = 2x - 3 m (m+1)
(2 t−1) 2 3 t
5) If 2x2 - px + 8 = 0 has equal roots and p > 0, then D) + =
5 3 4
the value of p is (Show your solution for 2 points)
A) 8 C) 1 12) A perfect square trinomial is a trinomial in the
B) 4 D) 2 form:
A) a2 + 2ab + b2 C) a2 + ab + b2
6) It is a polynomial equation of degree two that can B) a2 + b2 D) a3 - 2ab - b2
be written in the form ax2 + bx + c = 0, where a, b, c
are real numbers and a is not equal to 0. 13) What is the highest degree of a linear
A) quadratic equation equation?
B) linear inequality A) 1 C) 3
C) quadratic inequality B) 0 D) 2
D) linear equation
14) It is the highest or lowest point the parabola will
7) The sum of the roots of 4x 2 + 8x - 3 = 0 (Show reach.
your solution for 3 points) A) symmetry C) vertex
A) -2 C) - 15/8 B) all of the above D) axis
B) 12 D) - 8/5

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15) What is the highest degree of the linear B) f(x) = (x+1)2 + 2
function? C) f(x) = (x+1)2 - 2
A) 1 C) 0 D) f(x) = (x+1)2 + 1
B) 2 D) 3
26) If the equation x2 -2x - 8 = 0 has roots m and n,
2
16) The quadratic function y = -2x + 4x - 3 the equation whose roots are 1/m and 1/n is (Show
A) real and equal of zeros your solution for 3 points)
B) real and unequal zeros A) x2 - 2x - 8 = 0
C) equal and not real B) 8x2 + 2x - 1 = 0
D) no real roots C) 8x2 + x - 1 = 0
D) none of the above
17) Which of the following is the Quadratic
Formula? 27) What is the nature of the following of the
−b ± √ b −4 ac quadratic if the value of this discriminant is zero?
2
A) A) The roots are rational and not equal
2a
B) The roots are not real
b ± √b −4 ac
2
B) C) The roots are rational and equal
2a D) The roots are irrational and not equal
−b ± √ b + 4 ac
2
C) 28) Which of the following Quadratic Equation has
2a
D) none of the above no real roots? (Show your solution for 3 points)
A) 2x2 + 4x = 3
18) What is the constant or the c term in the B) -2r2 + r + 7 = 0
equation x2 + 5x + 7 = 0? C) 3s2 - 2s = -5
A) 1 D) t2 - 8t - 4 = 0
B) 7
C) 3 29) What are the roots of the quadratic equation x 2
D) 2 + x - 56 = 0? (Show your solution for 3 points)
A) 8 and -7
19) Which of the following quadratic equation is in B) -8 and 7
the standard form? C) 3 and -2
A) 7x + 12 = x2 D) 2 and -1
B) x2 + 7x + 12 = 0
C) x2 + 7x = -12 30) Which of the following is being used to indicate
D) x2 = -12 - 7x inequality
A) ~
20) The discriminant of x2 + 4x + 3 = 0 is B) =
A) 12 C) 4 C) <
B) 13 D) 5 D) none of the above

21) The product of the roots of the equation (m-1)/2 31) Which of the following values of x make the
= 3/(m+2) is (Show your solution for 3 points) equation x2 + 7x - 18 = 0? (Show your solution for 3
A) 3 C) 4 points)
B) -8 D) -1 I. -9 II. 2 III. 9
A) II and III
22) What is the highest degree of the quadratic B) I and III
function? C) I and II
A) 2 C) 1 D) I, II, and III
B) 0 D) 3
32) one of the roots of 2x2 - 13x + 20 = 0 is 4. What
23) Which of the following is a quadratic equation? is the other root?
A) 3m - 7 = 12 A) 2/5
B) -5n2 + 4n -1 B) - 5/2
C) 2x2 -7x >/= 3 C) - 2/5
D) t2 + 5t - 14 D) 5/2

24) If x2 + mx + 7 = 0 can be solved by factoring 33) Which of the following coordinates of points
and m > 0, then m is (Show your solution for 3 belong to the solution set of the inequality y < 2x 2 +
points) 5x - 1? (Show your solution through tabular method
A) 8 C) 0 for 5 points)
B) 2 D) 7 A) (-3, 2)
B) (-2, 9)
25) The quadratic function f(x) = x 2 + 2x - 1 is C) (3, 1)
expressed in standard form as (Show your solution D) (1, 6)
for 3 points)
A) f(x) = (x+1)2 - 1 34) The axis of symmetry of the function y = (x – 2) 2
+ 3 is (2 points prove your answer)
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A) x = 2 43) The graph of y = x2 - 3 is obtained by sliding the
B) x + 2 = 0 graph of y = x2
C) x = -2 A) 3 units downward
D) x + 3 = 0 B) 3 units upward
C) 3 units to the left
35) The length of a wall is 12 m more than its width. D) 3 units to the right
If the area of the wall is less than 50 m 2, which of
the following could be its length? (Show your 44) In the equation x2 + 7x + 12 = 0, which is the “a”
solution for 3 points) term?
A) 16m A) 12
B) 4m B) 7
C) 3m C) 0
D) 15m D) 1

36) In the equation x2 + 3x + 7 = 0, which is the b 45) Which of the following quadratic equation can
term? be solved easily by extracting square roots? (prove
A) 1 your answer for 3 points)
B) 3 A) 3v2 + 2v - 8 = 0
C) 7 B) 4t2 - 9 = 0
D) 2 C) 2w2 + 7w - 3 = 0
D) x2 + 7x + 12 = 0
37) The quadratic equation whose solutions are 3
and -1/3 is (Show your solution for 3 points) 46) What are the two consecutive even numbers
A) 3x2 - 33x - 3 = 0 whose product is 80?
B) 3x2 + 8x - 3 = 0 A) {2, 4}
C) 3x2 - 33x + 3 = 0 B) {4, 6}
D) 3x2 - 8x - 3 = 0 C) {6, 8}
D) {8, 10}
38) How many real roots does the quadratic
equation x2 +5x + 7 = 0 have? (Show your solution 47) In the equation ax2 + bx + c = 0, a is not equal
for 3 points) to
A) 3 A) 0
B) 1 B) 1
C) 0 C) 2
D) 2 D) 3

39) What is the sum of the roots of the quadratic 48) The sum of the number and its square is 110,
equation x2 + 6x - 14 = 0? (Show your solution for Find the number. (Show your solution for 3 points)
2 points) A) 10
A) -7 B) 11
B) -6 C) 12
C) -3 D) 13
D) 14
49) Which of the following is the formula for
40) A quadratic inequality is an equation of the form discriminant?
A) ax + b < 0 A) b2 - 4ac
B) x = b/a B) –b2 - 4ac
C) ax2 + bx + c ≤ 0 with a is not equal to 0 or with >, C) b2 + 4ac
≥ or < D) –b2 + 4ac
D) ax + b ≤ 0 with a is not equal to 0 or with </=, >
or < 50) If the discriminant is greater than 0 and is a
perfect square, what is nature of the roots?
41) The coordinates of the vertex of y = x2 + 5 A) real, rational and equal
A) (0, 5) B) real, irrational and not equal
B) (1, -5) C) not real
C) (1, -5) D) none of the above
D) (0, -5)

42) The roots of a quadratic equation are -4 and -5.

Which of the following quadratic equation has these
roots? (Show your solution for 3 points)
A) x2 + 9x + 20 = 0
B) x2 - x + 20 = 0 ~God Bless~
C) x2 + x - 20 = 0
D) x2 - 9x - 20 = 0

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Answer Key

1) B Poi: 1.0
2) A Poi: 1.0
3) A Poi: 3.0
4) C Poi: 1.0
5) A Poi: 2.0
6) A Poi: 1.0
7) A Poi: 3.0
8) D Poi: 3.0
9) D Poi: 1.0
10) D Poi: 3.0
11) C Poi: 3.0
12) A Poi: 1.0
13) A Poi: 1.0
14) C Poi: 1.0
15) A Poi: 1.0
16) D Poi: 1.0
17) A Poi: 1.0
18) B Poi: 1.0
19) B Poi: 1.0
20) C Poi: 1.0
21) B Poi: 3.0
22) A Poi: 1.0
23) D Poi: 1.0
24) A Poi: 3.0
25) C Poi: 3.0
26) B Poi: 3.0
27) C Poi: 1.0
28) C Poi: 3.0
29) B Poi: 3.0
30) C Poi: 1.0
31) C Poi: 3.0
32) D Poi: 3.0
33) C Poi: 1.0
34) A Poi: 2.0
35) C Poi: 3.0
36) B Poi: 1.0
37) D Poi: 3.0
38) C Poi: 3.0
39) B Poi: 2.0
40) C Poi: 1.0
41) A Poi: 2.0
42) A Poi: 3.0
43) A Poi: 1.0
44) D Poi: 1.0
45) B Poi: 3.0
46) D Poi: 1.0
47) A Poi: 1.0
48) A Poi: 3.0
49) A Poi: 1.0
50) A Poi: 1.0
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