1ST QUARTER EXAM IN MATH 9 Write A if the statement is true and B if false.
1. 2. 3. 4.
2
The formula in getting the discriminant is b 4ac. The factors of 6 is 1 and 6 only. When the discriminant is zero, then the roots are real numbers and equal. We use zero product property in factoring to Pget the solution. 2
5. 7 x 49 0 is a quadratic equation where the linear term is undefined. 6. When, x 2 9 , the solution is x=3. 7. In perfect square trinomial, you need to get first the factors of the constant term. 8. In getting the standard for quadratic equation, you need to arrange first the terms. 2 25 , can be solved easily by using quadratic formula. 9. x 2 10. The solutions of any quadratic equation ax bx c 0 can be determined using the quadratic
formula x
b
b
2
4ac
2a
.
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 B. Linear Inequality C. Quadratic Equation 12. Which of the following is a quadratic equation? 2 3 A. 2r 4r 1 0 C. s 5s 14 0
D. Quadratic Inequality
2
B. 3t 7 D. 2 x 7 x 3 12 2 13. In the quadratic equation 3 x 7 x 14 0 , which is the quadratic quadratic term? term? 2 2 A. x B. 7 x C. 3 x D. -14 2 14. In the quadratic equation 3 x 7 x 14 0 , which is the linear term? 2 A. x B. 7 x C. 3 x 2 D. -14 2 15. In the quadratic equation 3 x 7 x 14 0 , which is the constant constant term? 2 2 A. x B. 7 x C. 3 x D. -14 2 16. Find the a, b and c in the s 6 s 24 0
A. a= 2, b= 6, c=24 B. a= 1, b= 6, c=24
C. a= -2, b= 6, c=24 D. a= -1, b= -6, c=-24
17. Find the a, b and c in the
x
2
14
A. a= 1, b= 14, c=0 B. a= 1, b= 1, c=4
0
C. a= 0, b= 0, c=14 D. a= 1, b= 0, c=14
18. Which of the following is in standard form? 2
2
2
A. 5 x 2 x 6 0 B. 5 x x 3 C. x 3 x 4 D. 2 x 6 5 x 19. The following are the values of a, b, and c that Edna and Luisa got when they expressed in standard 2 form. 5 3 x 2 x in standard standard form. Edna: a=2 ; b=3 ;c= -5 Luisa a= -2 ; b= -3 ;c= 5 Who do you think got the correct answer? A.Edna B. Luisa C. Both D. None of them 2 36 ? 20. What is the value of x if x A. -6 B. +6 C. -6, +6 D. none of the above 21. Which of the following is true?
2
I. If k > 0, then x = k has two real solutions or roots: x = 2
k
II. If k = 0, then x= k has one real solution or root: x =0 . 2 III. If k < 0, then x = k has no real solutions or roots. A.I and II only B. I and III only C. II and III only D. I, II and III 2 81 ? 22. What is the value of x if m A. -9 B. +9 C. -9, +9 D. none of the above
23. x + 7 = 0, by zero-product property x=_____? A. 7 B. -7 C.0
D. Undefined
2
24. What are the roots/ solutions of this x 2 100 0 A. 10, - 10 B. 10 C. 100 D. -100 2 25. What are the roots/ solutions of this x 9 x 14 0 by factoring 7, x 2 A. x 7, x 2 B. x C. x 7, x 2
D.
x
7, x
2
2
26. What are the roots/ solutions of this x 7 x 6 0 by factoring 6, x 1 6, x 1 A. x 6, x 1 B. x C. x
27. What is missing to make the quadratic equation A. 12
B. 24
C. 36
x
2
D.
x
6, x
1
12 x ___ 0 perfect square?
D. 48
28. What is missing to make the quadratic equation
x
2
32 x ___ 0 perfect square?
A. 24 B. 124 C. 200 D. 256 29. Mina wants to get the sum of the roots, she gets the values of a, b and c what process will she do next? A. substitute the values of a and b to B. substitute the values of a and c to
b a
C. substitute the values of a and b to
c a
b a
D. substitute the values of a and c to
c a
30. When the discriminant is negative, then the nature of the roots are ________________. A. real, equal and one solution C. real, irrrational, not equal and two solutions B. real, rational, not equal and two solutions D. no real roots 31-37.
Find the missing to make the equation
by completing the square correct. x
2
x2
6x
(31) 5 ____ (32) 6 x ___
6
x
x
(34) (33)3 ____ ____ 2
2
5
3
____ (35)
2
3 2
x
32
x
x
23
x
x
3 2 23
___ (36)
x
(37) ___
38-42.Find the missing to make the equation correct. x 2 6 x 7 0 x
b
b
2
4ac
2a
6 (6)
2
4(1)(7)
2(1) 6 ____ (39) (38) _____ 2 6 _____ (40) 2 68 2 68
x1
x 2
2 68 2
___ 2 ___ 2
(41) ___ ___ (42)
Bonus: Complete the lyrics our National Anthem for 5 additional points.
Lupang Hinirang Bayang magiliw Perlas ng silanganan Alab ng puso Sa dibdib ______ buhay
Lupang Hinirang Duyan ka nang magiting Sa ________ Di ka pasisiil
Sa Dagat at bundok sa simoy At sa langit mo'y bughaw May dilag ang tula At awit sa paglayang _______ Ang kislap ng watawat mong tagumpay na nagniningning Ang bituin at araw niya'y kailanpama'y di magdidilim
Lupa ng araw ng ________ pagsinta Buhay ay langit sa piling mo Aming _________nang pag May mang-aapi Ang mamatay ng dahil sayo
Prepared by:
MARLA H. FIRMALINO SST-I
Find the discriminant and the nature of the roots. 43-44.
x
2
6x
50
discriminant: ______ nature of the roots: _________ 45-46.
x
2
3x
50
discriminant: ______ nature of the roots: _________
Find sum and product of roots and the roots/solutions. 47-50.
x
2
8x
+7= 0
sum: _________ product: __________ roots: x1=_____ x2=_____
