Republic of the Philippines

DEPARTMENT OF EDUCATION
Region VIII (Eastern Visayas)
Division of Leyte
BURACAN NATIONAL HIGH SCHOOL
Name: _________________________________ Year and Section: __________________
Teacher: _______________________________ Score: _________
FIRST QUARTER SUMMATIVE TEST IN MATHEMATICS 9

Directions: Find out how much you already know. Choose the letter that you think best answers the
question. Write your answer on a separate sheet of paper.

1. It is a second degree polynomial equation with a standard form of ax2+bx+c=0 where a, b and c
are real numbers (called arbitrary constants) and a≠0.
a. linear equation c. cubic equation
b. quadratic equation d. polynomial equation
2. Which is a quadratic equation?
a. x3+2x2-5=0 c. 3x2+2x=7
b. 4𝑥 +5 = 20 d. 2x = 10
3. The following are quadratic equations, EXCEPT.

d. 𝑦12 +8-5y=0
a. y2 = 5 c. n2+512 -4n = 0
b. 8-3m2 = 0
4. 2
In the quadratic equation 3x -5x+8=0, which is the quadratic term?
a. 3x2 b. -5x c. 8 d. 0
5. 2
–5x +4x = 9 is a quadratic equation with a linear term of 4x and a constant term of
a. -5x2 b. 4x c. 9 d. -9
6. Which of the following is/are TRUE about the quadratic equation,
2x2+3x =0?
I. Its linear term is 3x
II. Its leading coefficient is 2
III. Its quadratic term is 2x
IV. Its constant term is zero (0)
a. I and II c. I, II and IV
b. I and IV d. I, II, III and IV
7. The quadratic equation that is equivalent to -3x2+7x-6=0 is
a. -3x2-7x-6=0? c. -3x2+7x+6=0?
b. 3x -7+6=0?
2
d. 3x2+7x+6=0?
8. Which quadratic equation has the arbitrary constants’ values of a=-3, b=2 and c=1?
a. -3x2+2x+1=0 c. x2+2x-3=0
b. 2x2-3x+1=0 d. -3x2+x+2=0
9. The standard form of the quadratic equation (3x+2)(x-2) =-7 is
a. 3x2+4x+3=0 c. 3x2-4x-3=0
b. 3x -4x+3=0
2
d. 3x2+4x-3=0
10. Which is a correct set of arbitrary constants’ values of the quadratic equation, 5x – 3x 2 = 8?
a. a=5, b= -3 and c=8 c. a=-3, b= 8 and c= 5
b. a=-3, b= 5 and c=8 d. a=-3, b= 5 and c= -8
11. The quadratic equation with the smallest leading coefficient is
a. 5h2-10h= 10 c. -15n2+2n=7
b. 2x2-3x+8=0 d. -3m2-4m = 9
12. Which is NOT a quadratic equation?
a. k2=5 c. 2x2-7=0
b. 2m=10 d. -3y2-4y = -8
13. Which quadratic equation has the values of its arbitrary constants of a=b=c?
a. 2h2+2h= -2 c. 5k2+5k-5=0
b. 3x2-3x+3=0 d. 8y2-8y = -8
14. Which term/s from the standard form of quadratic equation ax 2+bx+c=0 can be removed and
still be considered a quadratic equation?
a. Bx c. Choices A or B
b. C d. None from the choices
15. The quadratic equation without linear term is
a. y2-5y=0 c. 2m -4m2=0
b. k2=2k d. 3r2=8
16. Which of the following is a quadratic equation?
a. 2r2 + 4r - 1 c. s2 + 5s -4 =0
b. 3t – 7= 2 d. 2x 2 -7x ≥ 3
2
17. In the quadratic equation 3x + 7x – 4=0, which is the quadratic term?
a. x2 b. 7x c. 3x2 d. -4
18. Given the equation in # 17, which is the constant term?
a. x2 b. 7x c. 3x2 d. -4
2 2
19.Write -2x = - 5x +5 in the form ax + bx + c =0
a. -2x + 5x2 +5 +0 c. -5x2 – 2x – 5 =0
2
b. 5x – 2x – 5 =0 d. 5x2 -5= 2x
2
20. In quadratic equation 2x + x – 21 = 0, what is the value of b?
a. 2 b. 1 c. -21 d. 0
21. Given the equation in # 20, what is the value of c?
a. 2 b. 1 c. -21 d. 0
22. What is the root of the equation r2 – 81 = 0?
a. ±9 b. -9 c. ±3 d. 3
23. What is the root of the equation x2 + 9x = -8?
a. 8 and 1 c. -8 and 1
b. -8 and -1 d. 8 and -1
2
24. What do you call the expression b - 4ac?
a. Quadratic formula c. discriminant
b. constant d. standard form
25. Evaluate the expression b2 - 4ac given the values of a = 9 b = 0 and c = -4.
a. 144 c. 0
b. 36 d. 16
2
26. Evaluate the expression b - 4ac given the values of a = 3 b = -6 and c = -5.
a. -24 b. 24 c. 96 d. 0
27. If the discriminant of the equation is negative, then the nature of the roots are _____.
a. real and equal c. irrational and not equal
b. rational but not equal d. not real
28. If the discriminant of the equation is zero, then the nature of the roots are ______.
a. real and equal c. irrational and not equal
b. rational but not equal d. not real
29. What is the nature of the roots of the equation x2 + 2x – 3=0?
a. real and equal c. irrational and not equal
b. rational but not equal d. not real
30. What is the nature of the roots of the equation x2 +12x + 36=0?
a. real and equal c. irrational and not equal
b. rational but not equal d. not real
31. Which of the following is the quadratic equation?
a. 6m2 – 3m + 1 c. s2 – 3s + 2 = 0
b. 7s + 2 = 5 d. 4x2 + 3x ≥ 5
32. How many real roots does the quadratic equation m2 + 5m + 7 = 0 have?
a. 3 b. 2 c. 1 d. 0
33. The roots of the quadratic equation are -5 and 3. Which of the following quadratic equations has
these roots?
a. x2 – 8x + 15 = 0 c. x2 – 2x – 15 = 0
b. x2 + 8x + 15 = 0 d. x2 + 2x – 15 = 0
34. What is the nature of the roots of the quadratic equation if the value of its discriminant is zero?
a. The roots are not real.
 b. The roots are rational and equal
c. The roots are rational and not equal.
d. The roots are irrational and not equal
35. What are the roots of the quadratic equation x2 + x – 56 = 0?
a. 2 and -1 b. 8 and -7 c. -8 and 7 d. 3 and -2
36. What is the sum of the roots of the quadratic equation m2 - 5m – 14 = 0?
a. -7 b. -6 c. 5 d. -5
37. What is the product of the roots of quadratic equation x2 – 4x – 5 = 0?
a. 5 b. -5 c. 4 d. -4
2
38. Determine the roots of the quadratic equation 2x + 5x – 3 = 0.
a. ½ and 3 b. -1/2 and 3 c. ½ and -3 d. ½ and 3
39. What is the sum of the quadratic equation with the roots -2/3 and ½?
a. 2/3 b. -2/3 c. 1/6 d. -1/6
40. What is the sum of the quadratic equation using the quadratic formula

𝑥 ?
2𝑎
a. a/b b. b/a c. –a/b d. –b/a
41. What is the product of the quadratic equation using the quadratic formula

𝑥 ?
2𝑎
a. c/a b. a/c c. –c/a d. –a/c
2
42. In the quadratic equation 4x – 2x + 1 = 0, what are the values of a, b, and c respectively?
a. 4, 2, 1 b. 4, 1, 2 c. 4, -2, 1 d. 4, 1, 2
43. What is the sum of the roots of the quadratic equation m2 – 4 = 0?
a. 0 b. 1 c. 3 d. 4
44. What is the product of the roots of the quadratic equation s2 – 4 = 0?
a. 4 b. -4 c. 2 d. 0
45. Determine the product of the roots of the quadratic equation whose roots are -2/3 and -1/3.
a. -2/9 b. -2/6 c. 2/9 d. 1/3
46. Which of the following is the quadratic formula?
√
a. c.

b. d.
47. Rey has an assignment, he needs to solve this equation by factoring: x 2+ 9 x=−8.
What must he do? Arrange the given below and choose the best answer.
2
1. x + 9 x+ 8.
2. ( x +1 )=0 ; ( x +8 ) =0.
3 ( x +1 ) ( x +8 )=0.
4. x=−1 ; x=−8 .

a. 1-2-3-4 c. 1-2-4-3
b. 1-3-2-4 d. 4-3-2-1
48. The following are the values of a, b and c that Edna and Luisa got when they expressed
5 – 3x = 2 x 2 in standard form ( Edna: a = 2, b = 3, c = -5 ; Luisa: a= -2, b= -3; c =5 ). Who do
you think got the correct values of a, b c?
a. Luisa c. Both of them are correct
b. Edna d. Both of them are wrong
49. 11. What is √ 16?
a. 4 b. 4 c. ±4 d. √ 4
50. Which of the following equation is NOT a quadratic equation?
 a. 2 x 2 + 5x – 3 = 0 b. 3x ( x-2 ) = 10 c. ( 2x + 5 ) ( x-1 ) = -6 d. 2x+x+2=0
FIRST QUARTER SUMMATIVE TEST IN MATHEMATICS 9

ANSWER KEY

1. B
2. C
3. C or D
4. A
5. D
6. C
7. B
8. A
9. B
10. D
11. C
12. B
13. A
14. C
15. D
16. C
17. C
18. D
19. B
20. B
21. C
22. A
23. B
24. C
25. A
26. C
27. D
28. A
29. B
30. A
31. C
32. D
33. D
34. B
35. C
36. C
37. B
38. C
39. D
40. D Prepared by:
41. A
42. C
43. A SHARON M. ROSALIA
44. B Teacher III
45. C
46. B
47. B Checked by:
48. C
49. C ARNEL C. BALLON
50. D School Head