Department of Education
STA. PAZ NATIONAL HIGH SCHOOL
Pasanon, San Francisco, So. Leyte
School ID: 303489
1ST QUARTER EXAM IN MATH 9
SY 2023-2024
Name:________________________________
I.
Grade level & Section: _____________
True or False.
Write AGREE if the statement is true and DISAGREE if it is false.
1.
2.
3.
4.
5.
6.
____________ The standard form of a quadratic equation is in the form ax2 + bx + c = 0.
____________ When the discriminant is zero, then the roots are real numbers but unequal.
____________ D = b2 – 4ac is used to describe the nature of the roots of all types of equations.
____________ 2x2 + 4x + 4 ≤ 0 is a quadratic inequality.
____________ ax2 + bx + c = 0 is not a quadratic equation when a = 0.
____________ If k is greater than 0, then x2 = k has only one real solution or root.
−𝑏 ± √𝑏 2 −4𝑎𝑐
7. ____________ 𝑥 =
refers to the quadratic formula.
2𝑎
8. ____________ c in the standard form of a quadratic equation represents the quadratic term.
9. ____________ The resulting equation of (r – 5) (r – 5) is called a perfect square trinomial.
10. ____________ q3 – 3q2 + 11q – 41 = 0 is an example of a quadratic equation.
II.
Multiple Choice
Direction: Choose the letter of the correct answer.
11. It is a polynomial equation of degree two that can be written in the form ax 2  bx  c  0 , where a,
b, and c are real numbers and a ≠ 0.
A. Linear Equation
C. Quadratic Equation
B. Linear Inequality
D. Quadratic Inequality
12. The (𝑥 + 3)(𝑥 – 3) is a factored form of equation ______.
A. 𝑥2 – 6 = 0
B. 𝑥2 + 9 = 0
C. 𝑥2 – 9 = 0
D. 𝑥2 + 6 = 0
13. What is the solution set of x2 – 16 = 0?
A. { 4, 4}
B. {-4, -4}
C. {16, 16}
D. {-16, -16}
2
14. Evaluate the value of t in equation t = 0.
A. t = 2
B. t = −2
C. 𝑥 = 0
D. 𝑥 = 1
2
15. How many real roots does the quadratic equation (z – 4) – 25 = 0 have?
A. 0
B. 1
C. 2
D. 3
16. Which of the following is the discriminant of the quadratic equation: 𝑥2-4𝑥+4=0?
A. -16
B. -4
C. 4
D. 0
2
17. In the quadratic equation 𝑎x +𝑏𝑥=−𝑐, which of the following is used to determine the nature of the
roots?
𝑐
𝑏
−𝑏 ± √𝑏2 −4𝑎𝑐
A. 𝑎
B. −𝑎
C. 𝑥 =
D. b2 – 4ac
2𝑎
18. What is the discriminant of the quadratic equation x2+7𝑥−10=0 ?
A. −7
B. −10
C. 9
D. −9
19. Which of the following is the resulting quadratic equation in standard form of x(x-5) = 36?
A. 5x2 – 5x = 36
B. x2 – 5x – 36 = 0
C. x2 – 5x = 36
D. 5x2 + 5x = 36
20. The length of a rectangular frame is 2 m less than twice the width. If the area of the rectangular
frame is 112 m2, what is the width?
A. 5 m
B. 8 m
C. 9 m
D. 14 m
21. Which of the following shows a relation of “greater than”?
A. (𝑥+4)2 < 𝑥
B. (𝑥+4)2 ≥ 𝑥
C. 𝑥2+4 > 𝑥
D. 𝑥2+4 < 𝑥
22. Which of the following is NOT a quadratic inequality?
A. (2𝑤4−5) < 2𝑤4+32
C. 4𝑥2−9 < 3+4𝑥2
2
B. 4𝑣 −4𝑣 < 0
D. 𝑛2+1 < 0
23. What is the solution of the quadratic inequality x2 + 7𝑥 + 12 ≤ 0?
A. [3,4]
B. [-3,−4]
C. [−7,-12]
D. [7, 12]
24. Which of the following are the solutions of the equation x2 + 3x + 18 = 0?
A. (18, 3)
B. (-3, 6)
C. (3, -6)
D. (-3, -18)
25. Which of the following equations satisfy the standard form of a quadratic equation?
A. 𝑥2-4𝑥 = 4
B. (x-4)(x+4) = 36
C. u2-11u+47 = 0
D. 0m ≤ x ≤ 3m
2
26. Quadratic equation is any equation of the form: ax + bx + c = 0, where a, b and c are real numbers
and ______.
A. a > 0
B. a ≠ 0
C. a < 0
D. a = 0
27. Below are ways to find the roots/solutions of any quadratic equation except ______.
A. Extracting the square roots
B. Using the discriminant
C. Factoring
D. Using the Quadratic Formula
28. Which of the following is the set of roots of the quadratic equation x2 + 9x = -8?
A. (-1, -8)
B. (1, 8)
C. (9, 8)
D. (-9, -8)
2
29. Which must be the value/s of y in the equation 2y +8y−10 = 0 when solved by completing the
square method?
A. (-1, 5)
B. (1, -5)
C. (3, -3)
D. (2, 3)
2
30. What are the factors of the following equation, 9x – 4 = 0?
A. (-2/3, 2/3)
B. (2, -2)
C. (3x +2 ) (3x – 2)
D. (3x – 2) (3x – 2)
III.
PROBLEM SOLVING
Direction: Find the set of roots of the following equations using whatever method is applicable.
Provide the complete solution. 5 points for each item.
A. t2 – 9t = - 8
B. 2z2 + 3z = 27
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Prepared by:
Checked by:
LOURISE ARCHIE C. SUBANG
Subject Teacher, Mathematics 9
Noted by:
FRANCISCO SIMEON R. CERIO
Principal II
BLAIR P. MOSQUITO
Head Teacher II