WorksheetsQuadratic Equation
Total questions: 15
Worksheet time: 1hrs 16mins
Name
Class
Date
1.
The non-zero root of the equation 3x - 5x2 = 0 is_____
a)
3⁄5
b)
5⁄3
c)
-3⁄5
d)
-5⁄3
2.
How many solutions can a quadratic have?
a)
1 solution
b)
3 solutions
c)
0 solutions
d)
2 solutions
3.
Solve the equation by factoring.
a)
x = {-5,-3}
b)
x = {5,-3}
c)
x = {-5,3}
d)
x = {5,3}
4.
The solutions of the quadratic equation
x2-5x+6=0 are
x2-5x+6=0 are
a)
x=1 or x=-6
b)
x=3 or x=2
c)
x=-3 or x= 2
d)
x=-1 or x=6
5.
To complete the perfect square trinomial in the expression x2-22x+_____, we need to add
a)
11
b)
44
c)
121
d)
144
6.
The solution of the quadratic equation
4x2-5x-9=0 are
4x2-5x-9=0 are
a)
x=-1 or x=9/4
b)
x=1 or x=9/4
c)
x=2 or x=3
d)
x=-2 or x=-3
7.
Fill the blank space to complete the perfect square trinomial
x2-18x+____=(x- ____)2
x2-18x+____=(x- ____)2
a)
9 and 3 respectively
b)
81 and 9 respectively
c)
-9 and -3 respectively
d)
-81 and -9 respectively
8.
Which of the followig trinomial is perfect square trinomial?
a)
x2+4x+9
b)
x2-22x-121
c)
x2+4x-9
d)
x2-22x+121
9.
Determine the values of
a, b, and c for
the quadratic equation:
4x2 – 8x = 3
a, b, and c for
the quadratic equation:
4x2 – 8x = 3
a)
a = 4, b = -8, c = 3
b)
a = 4, b =-8, c =-3
c)
a = 4, b = 8, c = 3
d)
a = 4, b = 8, c = -3
10.
Find the roots of this equation
x2 + x - 6 = 0
x2 + x - 6 = 0
a)
4, -1
b)
3, -2
c)
-6, 1
d)
2, -3
11.
If you square 5 more than a positive number, the result is 88 more than 12 times the number. Find the numbers.
a)
-9, 7
b)
√75
c)
9, -7
d)
15, -5
12.
The product of two consecutive positive numbers is 132. Find the numbers.
a)
11, 12
b)
-11, -12
c)
-11, 12
d)
11, -12
13.
The product of two consecutive negative even integers is 24. Find the integers.
a)
6, 8
b)
6, 4
c)
-6, -8
d)
-6, -4
14.
A rectangle has an area of 24 square units. The width is 5 units less than the length. What is the length, in units, of the rectangle?
a)
6
b)
8
c)
3
d)
19
15.
What is the standard form of quadratic equation?
a)
ax2 + bx + c = 0
b)
ax + bx + c = 0
c)
x2 + bx + c = 0
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