21. What is the standard form of the quadratic
equation 2x + (x -4)(x + 1)= 9?
a. x-X- 13 = 0 c. x2-5x + 5= 0
b. x2+x+ 13= 0 d. x2-5x-13= 0
22. Find the solutions of the following equation x -
3x-40.
A. -5 and-8 B. 5 and -8 C. -5 and 8 D. 5 and 8
23. Solve for x in the equation x2 +x = 12
A. 6 and -2 B. -3 and-4 C. - 4 and 3 D.-2 and 6
24. In the equation 2x2-2x-12= 0, the values of x
are?
A. -6 and 2 B. -3 and 4 C. -4 and 3 D. -2 and 3
25. Solve for x by extracting square roots, x? = 256
A. 14 and -14 B. 23 and -23 C. 16 and -16 D. 18
and-18
26. By extracting square roots, 2x2= 162,
A. 7 and -7 B. 9 and -9 C. 9 and -11 D. 11 and -11
27. In the equation 3x2- 12 = 0, the roots are?
A. 2 and-2 B. 3 and -3 C. 4 and- 4 D. none of
these
27. Which equation has irrational and unequal
roots?
A. x2-4x + 5-0
C. x+ 16x+ 15= 0
B. x2+ 10x +25-0
D. x2+12x- 7= 0
28. The coefficients of a quadratic equation are
all integers. The discriminant is 0. Which
statement best describes its roots?
A. Two irrational roots
B. No Real roots
c.One rational root
d.Two rational roots
29. How many roots are there if the discriminant
of a quadratic equation is greater than zero
C. 3 real roots
A. 1 real root
D. No Solutions
B. 2 real roots
30. Find the value of the discriminant. How will
you describe the number and type of roots for
A. Since the discriminant is greater than 0
3x2-6x+ 2 = 0?
and is perfect square, the roots are real
B. Since the discriminant is greater than 0
and irrational.
and is not a perfect square, the roots are
real and irrational
C. Since the discriminant is less than 0,
the roots are non-real
ince the discriminant is equal to 0, the
roots are equal and real
31. How many real roots does the quadratic
equation x + 5x + 7= 0 have?
C. 2
B. 1
A .0
D. 3
32. The roots of a quadratic equation are -5 and
.Which of the following quadratic equations
has these roots?
A. x-8x +15 OC. x2-2x- 15= 0
B. x+8x + 15 = 0D. x + 2x- 15= 0
33. Which of the following quadratic equations
has no real roots?
C. 3s2-2s =-5
A. 2x + 4x= 3
B. t2-8t-4= 0 D.-2r +T+ 7 = 0
34.What is the nature of the roots of the
the value of its
equation
if
quadratic
discriminant is zero?
A. The roots are not real
B. The roots are irrational and not
equal
C. The roots are rational and not equal
D. The r0ots are rational and equal.
35.One of the roots of 2x2
13x +20 = 0 is 4.
What is the other root?
A.-
B-
c.
36.What are the roots of the quadratic equation
x-11x -12= 0?
A. 12 and -1
C
B. 12 and 1
12 and 1
D. -12 and
-1
37.What is the sum of the roots of the quadratic
equationxi + 6x -14 = 0?
-6
B
A.
D. 14
C. 6
38. The length of a garden is 5m longer than its
Width and the area is 14m2. How long is the
garden?
B. 7m
A. 9m
D. 2m
5m
B.
39.What is the sum and product of roots for this
equation:-3x2-6x- 1 = 0?
A. Sum of Roots =2, Product of Roots =
3
B. Sum of Roots=-2, Product of Roots
= 1/3
C. Sum of Roots = -2, Product of Roots
= 3
D. Sum of Roots =-2, Product of Roots
=-1/3
40. For the equation -3x- 6x - 5 = 0, what is
the product of the roots?
C.
B
A
D
41. The quadratic equation 2x-4x +d = 0 has
Use the discriminant to
only one root
determine the value of d.
C. 3
.2
B
A. -2
D.4
42.The sum of the roots of quadratic equation is:
C
B
A
D.
43. The product of the roots of quadratic equation
is
C
-a
b
B
A
a
D
b
5+
44. What is an equation whose roots are 5+
V2 and 5-v2?
A. x-10x + 23=0 C. x +10x-23= 0
D.x-10x-23= 0
0
B. +10x + 23= 0
45. The sum of two numbers is 12 and their
their
product is 35. What are the two numbers?
B. -5 and -7
A. 5 and 7
C. -5 and 7 D. 5 and -7
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