New Isabela, Tacurong City
FIRST UNIT TEST
Subject/Grade Level/Section: Mathematics 9 Nobel and Felipe Date of Exam: July 21-22,
2025
Subject Teacher: Jurey P. Deatras
General Directions: Read each question carefully before answering. In test IV, show your solutions. Write all your
answers/solutions on a separate sheet of paper. Review your work before submitting.
I. Choose the best answer from the options given. Write the letter of your choice.
1. What is the standard form of a quadratic equation?
a. ax2 + bx + c = 0 b. ax + b = 0 c. a2 + bx + c = 0 d. ax3 + bx2 + cx + d = 0
2. Which of the following is a correct factorization of x2 + 5x + 6?
a. (x + 2) (x + 3) b. (x – 2) (x – 3) c. (x + 1) (x + 6) d. (x – 1) (x – 6)
3. In the equation x2 + 5x + 6 = 0, which is the quadratic term?
a. x2 b. 5x c. 6 d. x
2
4. What is the factorization of 2x + 5x + 2?
a. (2x + 1) (x + 2) b. (2x + 2) (x + 1) c. (2x + 1) (x + 2) d. (2x + 2) (x + 1)
5. What is the factored form of x2 – 16?
a. (x – 8) (x +2) b. (x + 4) (x – 4) c. (x + 8) (x – 2) d. (x – 4)2
6. What is the purpose of completing the square in solving a quadratic equation?
a. To find the slope of the parabola
b. To change the equation into standard form
c. To convert the quadratic into a perfect square trinomial
d. To eliminate the variable
7. What are the values of a, b, and c in the equation 2x2 – 3x + 5 – 0?
a. a = 2, b = -3, c = 5 b. a = -2, b = 3, c = -5 c. a = 2, b = 3, c = -5 d. a = 1, b = -3, c = 5
8. What are the values of a, b, and c in the equation 4x2 = -6x?
a. a = 4, b = 6, c = 0 b. a = 4, b = 0, c = 6 c. a = 0, b = 6, c = 4 d. a = 6, b = 4, c = 0
9. In the equation, x2 + 6x + 9 = 0, which is the linear term?
a. x2 b. 6x c. 9 d. 0
10. What are the solutions to x2 – 5x + 6 = 0?
a. x = 2 and x = 3 b. x = -2 and x = -3 c. x = 1 and x = 6 d. x = -1 and x = -6
II. Identify the following equations whether it is quadratic or not. Write Q if it is quadratic and N if it is not.
1. x2 + 3x + 2 = 0 6. (x + 2)2 = 9
2. 5x – 7 = 0 7. x2 – 16 = 0
2
3. 2x – 9 = 0 8. x + 5 = 0
4. x3 + 2x – 1 = 0 9. 4x2 + 2x = 10
2
5. -4x + 7x + 10 = 0 10. 2x4 + x2 + 1 = 0
III. Match each equation in column A to its correct solution from column B using the method of extracting square
roots. Write the letter of the correct answer.
Column A Column B
1. x2 = 81 a. x = -3 ± 5/2
2. (x – 4)2 = 49 b. no real solution
3. (2x + 1)2 = 100 c. x = ±9
4. x2 = -16 d. x = 4 ± 7
5. (x + 3)2 = 25/4 e. x = -1 ±
IV. Solve the following quadratic equations:
A. By factoring method B. By completing the square
1. x2 + 7x = -10 1. x2 + 6x = -5
, 2. 2x2 + 5x + 2 = 0 2. 4x2 + 2x – 10 = 0
SET B TACURONG NATIONAL HIGH SCHOOL
New Isabela, Tacurong City
FIRST UNIT TEST
Subject/Grade Level/Section: Mathematics 9 Nobel and Felipe Date of Exam: July 21-22,
2025
Subject Teacher: Jurey P. Deatras
General Directions: Read each question carefully before answering. In test IV, show your solutions. Write all your
answers/solutions on a separate sheet of paper. Review your work before submitting.
I. Choose the best answer from the options given. Write the letter of your choice.
1. What are the values of a, b, and c in the equation 2x2 – 3x + 5 – 0?
a. a = 2, b = -3, c = 5 b. a = -2, b = 3, c = -5 c. a = 2, b = 3, c = -5 d. a = 1, b = -3, c = 5
2. What is the factored form of x2 – 16?
a. (x – 8) (x +2) b. (x + 4) (x – 4) c. (x + 8) (x – 2) d. (x – 4)2
3. What are the values of a, b, and c in the equation 4x2 = -6x?
a. a = 4, b = 6, c = 0 b. a = 4, b = 0, c = 6 c. a = 0, b = 6, c = 4 d. a = 6, b = 4, c = 0
4. What are the solutions to x2 – 5x + 6 = 0?
a. x = 2 and x = 3 b. x = -2 and x = -3 c. x = 1 and x = 6 d. x = -1 and x = -6
5. Which of the following is a correct factorization of x2 + 5x + 6?
a. (x + 2) (x + 3) b. (x – 2) (x – 3) c. (x + 1) (x + 6) d. (x – 1) (x – 6)
2
6. In the equation, x + 6x + 9 = 0, which is the linear term?
a. x2 b. 6x c. 9 d. 0
7. What is the standard form of a quadratic equation?
a. ax2 + bx + c = 0 b. ax + b = 0 c. a2 + bx + c = 0 d. ax3 + bx2 + cx + d = 0
8. In the equation x2 + 5x + 6 = 0, which is the quadratic term?
a. x2 b. 5x c. 6 d. x
9. What is the purpose of completing the square in solving a quadratic equation?
a. To find the slope of the parabola
b. To change the equation into standard form
c. To convert the quadratic into a perfect square trinomial
d. To eliminate the variable
10. What is the factorization of 2x2 + 5x + 2?
a. (2x + 1) (x + 2) b. (2x + 2) (x + 1) c. (2x + 1) (x + 2) d. (2x + 2) (x + 1)
II. Identify the following equations whether it is quadratic or not. Write Q if it is quadratic and N if it is not.
1. 4x2 + 2x = 10 6. 2x2 – 9 = 0
2
2. (x + 2) = 9 7. x2 + 3x + 2 = 0
3. 2x4 + x2 + 1 = 0 8. -4x2 + 7x + 10 = 0
4. x + 5 = 0 9. x3 + 2x – 1 = 0
2
5. x – 16 = 0 10. 5x – 7 = 0
III. Match each equation in column A to its correct solution from column B using the method of extracting square
roots. Write the letter of the correct answer.
Column A Column B
1. (x + 3)2 = 25/4 a. x = 4 ± 7
2. x2 = -16 b. x = ±9
3. (x – 4)2 = 49 c. x = -3 ± 5/2
4. x2 = 81 d. x = -1 ±
5. (2x + 1)2 = 100 e. no real solution
IV. Solve the following quadratic equations:
A. By factoring method B. By completing the square