MATHEMATICS 9

1. REVIEW
FIRST PERIODICAL TEST IN MATHEMATICS 9

2. •a. Linear Equation c. Quadratic Equation
•b. Linear Inequality d. Quadratic Inequality
It is a polynomial equation of degree two that can be written in the form
ax² + bx + c = 0, where a, b and c are Real numbers and a 0.

3. •a. Edna c. Both
•b. Luisa d. None of them
Thefollowingarethevaluesofa,b,andcthatEdnaandLuisagotwhentheyexpressedinstandard
form. 2
2
3
5 x
x
 instandardform.
Edna:a=2;b=3;c=-5 Luisaa=-2;b=-3;c=5
Whodoyouthinkgotthecorrectanswer?

4. •a. 6 c. 36
•b. 144 d. 48
What is the missing term to make the quadratic
equation x² + 12x + ___=0 a perfect square?

5. •a. (x + 3) c. (x + 4)
•b. (x + 1) d. (x -6)
The quadratic equation x² + 3x + 2=0 has the factors
(x + 2) and _____.

6. •a. 2 and -3 c. 2 and 3
•b. -2 and -3 d. 3 and -2
What are the roots of the quadratic equation x² + 5x +
6=0

7. •a. x² + 7x + 12=0 c. 2w² +7w - 3= 0
•b. 4t² - 9 =0 d. 3v² + 2v – 8 = 0
Which of the following can be solved by extracting the
square roots?

8. •a.x=7 and x-2 c. x=7 and x=2
•b. x=-7 and -2 d. x=-7 and x=2
What are the roots/solutions of this
x² + 9x + 14 =0 by factoring

9. •a.x=-5±/6 c. x=-5±/6
•b. x=-4±/6 d. x=-5±/5
Using the Quadratic Formula, what are the roots of
3x² +5x -3 =0?

10. •a. complete the square.
•b. subtract 2 from both sides
•c. get the value of a,b and c
•d. factor
In solving x² +8x +2 =0 by completing the square, the
first step is to _____.

11. •a. completing the square
•b. extracting the roots
•c. factoring
•d. using the quadratic formula
The equation x² -5x +6 =0 can be solved easily by
______.

12. •A. (X – 4)2
= 9 B. X2
– 8X + 7 = 0
•C. 4X2
– 12X + 9 = 0 D. 25X2
= 10
Which of the following can be solved by extracting the
square roots and by factoring?

13. •a. real, equal and one solution
•b. real, rational,not equal and 2 solutions
•c. real, irrational, not equal and two
solutions
•d. no real roots.
When the discriminant is negative, then the nature of
the roots are_____

14. •a. 0 c. 200
•b. 1 d. 400
What is the discriminant of the quadratic equation 4x²
- 25=0?

15. 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. substitutethevaluesof aandbto
a
b

C. substitutethevaluesof aandbto
a
b
B. substitutethevaluesof aandcto
a
c
D. substitutethevaluesof aandcto
a
c


16. •a. x² - 6x + 13=0 c. x² +13x – 42 = 0
•b. x² + 6x - 13=0 d. x² - 13x + 42=0
The sum of the roots of a quadratic equation is 13, if
one of the roots is 6, what could be the equation?

17. •a. 3 and -7 c. -7/2 and 3
•b. 7/2 and 3 d. -2/7 and 3
The roots 7(x² – 9) = x(x-3)

18. •a. clearing of fractions
•b. collecting like terms
•c. removing the exponents
•d. removing the radical sign
A rational algebraic equations can be transform to
quadratic equation by ____

19. •a. 4x² + 9x -12 =0 c. 4x² -9x-12 = 0
•b. 4x² - 19x + 12=0 d.-4x²-9x -12=0
Transform = Into quadratic equation.

20. •a. 3 days c. 10 days
•b. 4 days d. 12 days
It takes Marvin 6 days more to paint a house than Rowel. If they work together,
they can finish the same job in 4 days. How log would it take Marvin to finish the
job alone?

21. •a. x2
+ 5x – 84 = 0 b. x2
- 5x + 84 = 0
•c. x2
+ 5x = - 84 d. x2
- 5x - 84=0
The length of the bedroom floor is 5m more than its width and its area is
84m2
. What is the correct quadratic equations in the given problem?

22. •a. c.
•b. w(2w - 6) = 56 d.
The length of a parking lot is 6 more than twice its width and its area is
56m². Which of the following equations represents the given situations?

23. •a. Linear Equation c. Quadratic Equation
•b. Linear Inequality d. Quadratic Inequality
An inequality that contains a polynomial of degree two that can be written in any
of the following forms ax² + bx + c > 0, where a, b and c are Real numbers and a
0.

24. •a. 3x² + 7x + 2>0 c. g² - 81 ≥ 0
•b. 8t² -3 <-6t² d. s² + 7s +12 = 0
The following mathematical
statements are quadratic inequality
except:

25. • a. {x: x < 7 or x > -2}
b. {x: x<7 or x > 2}
• c. {x: x < -7 or x > -2}
d. {x: x<-7 or x > 2}
Which of the following is the solution
set of x² + 9x +14>0 true?

26. A.-1 & -3 B. 1 & -3
C. -1 & 3 D. 1 & 3
Which of the following pairs is the critical
numbers of the quadratic inequality
x2
– 2x – 3 < 0?

27. • a. x(x + 1) > 132 b. x(x – 1) < 132
c. x(x + 1) ≤ 132 d. x(x + 1) ≥ 132
The product of two consecutive
numbers is not more than 132.
What will be the inequality to be use?

28. •a.{-12≤x≤11} b. {11≤x≤-12}
•c. {-12≥x≥11} d. {12≤x≤-11}
The product of two consecutive
numbers is not more than 132.
What are the solution sets?

29. •a.i and ii b. ii and iii
•c. i, ii and iii d. none of the
above
Which of the following are real-life illustrations
of quadratic functions?
i. A capii. Shooting a ball
iii. The cost(c) of producing meat product is
given by c(x) = 1.3x2
+ 76x + 100

30. To find the maximum height reached by an object,
you must get the _____ of the equation.
•A. X- AND Y-INTERCEPTS
•B. PARABOLA
•C. VERTEX
•D. AXIS OF SYMMETRY

33. •a. y=a(x-h)² c. y=a(x-h)² + k
•b. y=a(x+h)² - k d. y=a(x-k)² + h
The vertex form of y=ax² + bx +c is
___.

34. The vertex form of y=a(x + 1)² - 2
is ___.
•a. (1,-2) c. (-1,-2)
•b. (-1,2) d. (1,2)

35. Rewrite the equations y = 3(x – 2)2
+ 4 in the general form
ax2
+ bx + c.
•A.Y=3X2
– 12X + 16 B. Y=3X2
– 12X – 16
•C. Y=3X2
– 12X + 14D. Y=3X2
+ 12X + 16

36. Express f(x) = x2
– 4x – 10 in the form f(x) = a(x
– h)2
+ k.
•a.y= (x-2)2
– 14 b. y= (x-2)2
+ 14
•c. y= (x + 2)2
– 14 d. y= 2(x-2)2
- 14

37. If the parabola opens upward, the range is the set ____.
•a. {y :y ≥ k} b. {y: y>k} c.
{y:y<k} d. {y:y≤k}

38. In y = x2
– 4x – 10 the axis of symmetry is
___.
•A. -14 B. 2 C. -2 D. 14

39. If the quadratic functions, f(x) = ax2
+
bx = c, has a>0, the opening is ___.
•A.UPWARD B. DOWNWARD
•C. TO THE LEFT D. TO THE RIGHT

40. Find the equation of the quadratic
function determined from the
graph.
A.y=(x +2)2
C. y=x2
+ 3
B.y=(x -2)2
-2 D. y=(x + 2)2
-2

41. A.Downward B. Upward
C. To the left D. To the right
To graph y = x2
+ k, if k > 0 slide it ___.

42. Given the vertex of graph at (-2,6), what will be the
equation if the graph moves 3 units to the right?
•a. y=(x + 1)2
-2 b. y=(x - 1)2
+ 6
c. y=(x +1)2
– 3 d. y=(x + 5)2
-2

43. In what quadrant does the graph of f(x) = 2(x – 3)2
– 2 can be found?
•A. QI B. QII C. QIII D. QIV

44. Which of the following has zeros
3, -2?
•a. y=x2
– x -6 b. y=x2
-2x + 6
•c. y=x2
+ 2x – 6 d. y=3x2
-2x + 1

45. Which of the following are the zeros of y
= x2
+ 9x + 20?
•a. -4 and -5 b. 4 and 5
•c. -4 and 5 d. 4 and -5

46. What is the equation of the given
table of values?
A. f(x) = x2
– 3x + 6 B. f(x) = x2
+ 3x + 6
C. f(x) = x2
– 3x – 6 D. f(x) = -x2
- 3x - 6

47. What is the width of the largest rectangular field
that can be enclosed by 60 meters of fencing wire?
•a. 20m b. 15m c. 80m d. 10m

48. The sum of two numbers is 14. Find the
maximum possible product of two numbers.
•a. 24 b. 49 c. 45 d. 40

49. •a. 100 ft. b. 150 ft. c. 90 ft. d. 120 ft.
•From a 96-feet building, an object is thrown straight up into
the air then follows a trajectory. The height s(t) of the ball
above the building after t seconds is given by the function
•S(t) = 80t – 16t2
. What is the maximum height will the object
reach?