Republic of the Philippines
Department of Education
Region IV-A CALABARZON
Division of Batangas
District of San Jose
BIGAIN NATIONAL HIGH SCHOOL
Bigain South, San Jose, Batangas
FIRST PERIODICAL TEST IN MATHEMATICS 9
Name: _________________________________________________
Section: ________________
Directions: Choose the letter that you think best answers the question. Shade the circle of the letter of your
answer.
A B C D 1. What is a polynomial equation of degree two that can be written in a form a𝑥 2 + bx + c = 0,
1 1 1 1
where a, b, c are real numbers and a ≠ 0.
a. Linear Equation
b. Linear Inequality c. Quadratic Equation d. Quadratic Inequality
A B C D 2. Which of the following is a quadratic equation?
1 1 1 12
a. 2𝑥 + 2r – 1
b. 3m – 7 = 2 c.𝑠 2 + 6s – 8 = 0 d. 2𝑥 2 – 9x ≥ 12
A B C D 3. In the quadratic equation 3𝑥 2 + 5x – 8 = 0, which is the quadratic term?
1 1 1 21
a. 𝑥
b. 5x
c. 3𝑥 2
d. -8
A B C D 4. Which of the following equation is NOT a quadratic equation?
1 1 1 12
a. 2𝑥 + 8x – 4 = 0 b. 3p ( p-2 ) = 10
c. ( 2x + 6 ) ( x-9 ) = -6
d. 2x+x+10=0
2
A B C D 5. In a quadratic equation 9𝑥 + 7x – 12 = 0, what is the value of a?
1 1 1 1
a. 9
b. 3x
c. 7
d. -12
A B C D 6. Refer the equation in no.5, which is the linear term?
1 1 1 21
a. 𝑥
b. 7x
c. 9𝑥 2
d. -12
A B C D 7. Which of the following quadratic equation is written in standard form?
1 1 1 1
a. 4x - 2𝑥 2 = 7
b. - 4𝑥 2 – 7 = -3x
c. -4𝑥 2 – 7 + 3x = 0 d. 4𝑥 2 + 3x – 7 = 0
A B C D 8. Write ( x+3 )( x+4 ) = 0 in standard form of a quadratic equation.
1 1 1 21
a. 𝑥 + 3x + 4
b. 𝑥 2 + 6x + 12
c. 𝑥 2 + 7x + 12
d. 𝑥 2 + x + 12
2
A B C D 9. Which of the following quadratic equation is in a form a𝑥 + c = 0?
1 1 1 12
a. 2𝑥 + 6x = 0
b. 2𝑥 2 = 4x
c. 2𝑥 2 + 9 = 5
d. 2𝑥 2 + 3x + 0
A B C D 10. The following are the values of a, b and c that Mike and Anna got when they expressed
1 1 1 1
5 – 3x = 2𝑥 2 in standard form. ( Mike: a = 2, b = 3, c = -5 ; Anna: a= -2, b= -3; c =5 )
Who do you think got the correct values of a, b c?
a. Mike
c. Both of them are correct
b. Anna
d. Both of them are wrong
A1 B1 C 1 D1 11. If the √25 is 5 , What is √16?
a. 4
b. -4
c. ±4
d. √4
A1 B1 C 1 D1 12. How many real roots does √−16 have?
a. no real roots
b. imaginary c. one real root
d. two real roots
A B C D 13. 3𝑝2 – 147 = 0, find for the root.
1 1 1 1
a. +7, -7
b. -7, -7
c. +7, +7
d. 0, +7
A B C D 14. Which of the following quadratic equation has two real roots.
1 1 1 1
a. 𝑥 2 – 16 = 0
b. 𝑥 2 + 16 = 0
c. 𝑥 2 +2 = 2
d. 𝑥 2+3=3
2
A B C D 15. Extract: (2𝑚 − 1) = 225
1 1 1 1
a. 8, -7
b. -8, 7
c. -8,-7
d. 8,7
A B C D 16. It is the method of solving the quadratic equation in the form x²=k.
1 1 1 1
a. factoring
b. extracting square roots
c. completing the square
d. quadratic formula
A B C D 17. Which of the following values of x make the equation 𝑥 2 +3x-10=0 true?
1 1 1 1
I. -5
II. 2
III. 5
a. I & II
b. II & III
c. I & III
d. I, II, III
A B C D 18. What are the roots of a quadratic equation 𝑥 2 +5x+6=0 ..(X=-2,-3)
1 1 1 1
I. 3
II. 2
III. 1
a. I & II
b. II & III
c. I & III
d. I, II, III
A B C D 19. The roots are -1 and -8, which of the following equations has this roots?
1 1 1 21
a. 𝑥 + 9x = -8
b. 𝑥 2 + 7x = 0
c. 𝑡 2 + 8𝑡 + 16 = 0
d. ℎ2 + 6h = 16
2
A B C D 20. Factor: 𝑥 + 7𝑥 = 0.
1 1 1 1
a. 7,0
b. -7,0
c. 7,1
d. -7, -1
A1 B1 C 1 D1 21:FACTOR n2 + 7n + 15 = 5
a. 5, 2
b. -5, 2
c. 5, -2
d.-5, -2
A B C D 22. Which of the following equations may be solved easily by factoring?
1 1 1 12
a. 2𝑥 = 72
b. 𝑡 2 + 12t + 36 = 0
c. 𝑤 2 − 64 = 0
d. 2𝑠 2 + 10 = 0
A B C D 23. This is the value of the expression b²-4ac in the quadratic formula.
1 1 1 1
a. discriminant
b. roots
c. real numbers
d. rational
A B C D 24. Rey has an assignment, he needs to solve this equation by factoring: 𝑥 2 + 9𝑥 = −8.
1 1 1 1
What must he do? Arrange the given below and choose the best answer.
1. 𝑥 2 + 9𝑥 + 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
A B C D 25.What must be the number that should be added to make the equation 𝑥 2 + 2𝑥_______ to make it a
1 1 1 1
perfect square trinomial? (1)
a. 2
b. 4
c.6
d.8
A B C D 26. Solve: 𝑦 2 + 4𝑦 = 32 by completing the square. What are the roots?
1 1 1 1
a. y = 4 & y = -8
c. y = -6 , y = -4
b. y =-4 & y = 8
d. y = 6 , y = 4
A B C D 27. Solve by completing the square: 2𝑥 2 + 8𝑥 − 10 = 0. What are the roots?
1 1 1 1
a. 1,5
b. -1,5
c.1,-5
d. -1,-5
A B C D 28. Which of the following quadratic equations has no real roots?
1 1 1 12
a. 2𝑛 + 4𝑛 = 3
c.3𝑟 2 − 2𝑟 = −5
2
b. 𝑝 − 8𝑝 − 4 = 0
d.−2𝑥 2 + 𝑥 + 7 = 0
A B C D 29. One of the roots of 2𝑥 2 − 13𝑥 + 20 = 0 is 4. What is the other root?
1 1 1 21
5
2
5
a. -5
b.− 2
c.5
d.2
A B C D 30. Observe the solution given below:
1 1 1 1
The equation is 𝑦 2 + 4𝑦 − 32 = 0 is to be solved by completing the square.
Observe the solution;
𝑦 2 + 4𝑦 − 32 = 0
1
𝑦 2 + 4𝑦 = 32
2
𝑦 2 + 4𝑦 + 16 = 32 + 16
3
(𝑦 + 4)2 = 48
4
Something is wrong with the solution, which part of the solution?
a. 1
b.2
c.3
d. the solution is correct
A B C D 31. Describe the nature of the roots of quadratic equation when the value of 𝑏 2 − 4𝑎𝑐 is greater than zero
1 1 1 1
and a perfect square.
a. real & equal
c. rational & not equal
b. No real root
d. irrational & not equal
A B C D 32. Find the solutions of the equation 2𝑥 2 + 3𝑥 = 27 using quadratic formula.
1 1 1 1
What are the roots?
a. -3 and 9⁄2
c. 3 and − 9⁄2
b. -3 and 2⁄9
d. -3 and − 9⁄2
A B C D 33. What are the roots of the quadratic equation x²+x-56=0
1 1 1 1
a. 2 and -1
b. 8 and -7
c. -8 and 7
d. 3 and -2
A B C D 34 What is the sum of the roots of the quadratic equation x²+6x-14=0
1 1 1 1
a. -7
b. -6
c. -3
d. 14
A B C D 35. Find the sum and the product of the roots of 2x²+8x-10=0
1 1 1 1
a. sum=-4, product=-5
b. sum=4, product=5
c. sum=-4, product=5
d. sum=4, product=-5
A B C D 36. Find the solution of the equation: (2x – 5)2 − 4 = 0 using the quadratic formula.
1 1 1 1
a. 7⁄2 & 3⁄2
c. − 7⁄2 & 3⁄2
b. − 7⁄2& − 3⁄2
d. 7⁄2&−3⁄2
A B C D 37. Describe the roots of quadratic equation when the value of 𝑏 2 − 4𝑎𝑐 is 0.
1 1 1 1
a. real & equal
c. rational & not equal
b. No real root
d. irrational & not equal
A B C D 38. Describe the roots of quadratic equation when the value of 𝑏 2 − 4𝑎𝑐 is negative.
1 1 1 1
a. rational & equal
b. irrational & equal
c. rational & not equal
d. no root
A B C D 39. Find the discriminant of the equation𝑥 2 − 4𝑥 + 4 = 0.
1 1 1 1
a. 0
c.4
b.2
d.6
A B C D 40. The roots of a quadratic equation are -5 and 3. Which of the following quadratic equations
1 1 1 1
has these roots?
a. 𝑥 2 − 8𝑥 + 15 = 0
c. 𝑥 2 − 2𝑥 − 15 = 0
b. 𝑥 2 + 8𝑥 + 15 = 0
d. 𝑥 2 + 2𝑥 − 15 = 0
II. Problem solving:
Miggy ask to solved the given quadratic equation 𝑥 2 + 8𝑥 − 20 = 0
using the quadratic formula, Help Miggy to determine the following:
(41-42) Roots of the quadratic equation
(43-44) Discriminant
(45-46) Nature of roots
(47-48) Sum of the Roots
(49-50) Product of the Roots
GOODLUCK!!!!!
Prepared by:
Marissa R. Carandang
Mathematics Teacher
Noted:
JOSEFINA M. BRIONES
PRINCIPAL II