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WorksheetsQuadratic Functions
Total questions: 25
Worksheet time: 16mins
Name
Class
Date
1.
Factor x2-x-56
a)
(x+7)(x-8)
b)
(x-7)(x-8)
c)
(x+7)(x+8)
d)
(x-7)2
2.
The area of a square is given by the quadratic function x2 + 26+169, what is the length of one side?
a)
(X-26)
b)
(X+13)2
c)
(x-13)2
d)
(x+13)
3.
A football field has an area of x2+23x+60, What is the possible length of its sides.
a)
(x+15)(x+4)
b)
(x+10)(x+6)
c)
(x+30)(x+2)
d)
(x+20)(x+3)
4.
What is the perimeter of a square whose area is x2 -16x + 64?
a)
4x-32
b)
4(x-32)
c)
x-32
d)
32
5.
What is the the square root of x2-26x+169?
a)
x-16
b)
13-x
c)
x-13
d)
x+16
6.
what is the factored form of x2+15x+14
a)
(x+14)(x+1)
b)
(x-14)(x+1)
c)
(x-14)(x-1)
d)
(x-14)(x-1)
7.
Factor x2+y2
a)
(x-y)(x+y)
b)
(x-y)(x-y)
c)
(x+y)(x+y)
d)
no solution (prime)
8.
Using Difference of squares factor 81x2-25y2
a)
(9x-5y)(9x-5y)
b)
(9x-5y)(9x-5y)2
c)
(9x-5y)(9x+5y)
d)
(9x.5y)(9x-5y)
9.
A playpark has a circular merry go-round with a diameter of (2x-4) feet. What is the area of the equipment?
a)
pi(x-2)2
b)
pi(x-2)3
c)
pi(x-4)2
d)
pi(x-2)
10.
Using Difference of squares factor:
x6 - y6
x6 - y6
a)
(x3+y3)(x3+y3)
b)
(x3-y3)(x3-y3)
c)
(x3+y3)(x3-y3)
d)
(x6+y3)(x3-y6)
11.
A basketball has a motion that can be represented by y = -x2+3x+40 where y is the height after x seconds. By factoring find the time at which it hits the ground that is when y=0
a)
-8 seconds
b)
both 8 and 5 seconds
c)
after 5 seconds
d)
after 8 seconds
12.
Factor x2-x-20
a)
(x-5)(x+4)
b)
(x+5)(x+4)
c)
(x-5)2
d)
(x+5)2
13.
Factor x2-10x+25
a)
(x-5)(x+4)
b)
(x+5)(x+4)
c)
(x-5)2
d)
(x+5)2
14.
x2y-y2x =
a)
x2y(y-x)
b)
xy(x-y)
c)
xy(y-x)
d)
xy2(y-x)
15.
What is the fact0red form of
81x2-25y2
81x2-25y2
a)
(9x+5y)(9x+5y)
b)
(9x+5y)(9x-5y)
c)
(9x-5y)(9x-5y)
d)
(3x+5y)(3x-5y)
16.
What is the square root of
x2 -100x + 2500
x2 -100x + 2500
a)
(x-100)
b)
(x-75)
c)
not a perfect square trinomial
d)
(x-50)
17.
Factor
7x2+23x+6
7x2+23x+6
a)
(7x+3)(7x+2)
b)
(7x+2)(x+3)
c)
(7x-2)(x+3)
d)
(7x-2)(x-3)
18.
Which is a perfect square trinomial
a)
X2-16x+66
b)
x2-10x-30
c)
x2-40x+400
d)
x2+20x+500
19.
Which of the following is a factor of
1-8x3
1-8x3
a)
(1-2x)
b)
(1+2x)
c)
(2x+1)
d)
(2x+2)
20.
Which is a factor of
64y3-x3
64y3-x3
a)
(4y-x)
b)
(4y+x)
c)
(4x-2y)
d)
(4x-y)
21.
Fill in the missing number to make a perfect square trinomial:
x2-30x+ ( )
x2-30x+ ( )
a)
15
b)
225
c)
900
d)
60
22.
Fill in the missing number to make a perfect square trinomial:
x2-60x+ ( )
x2-60x+ ( )
a)
15
b)
225
c)
900
d)
60
23.
Fill in the missing number that will make the quadratic finction a perfect square trinomial
x2- ( )x + 100
x2- ( )x + 100
a)
50
b)
25
c)
10
d)
20
24.
Fill in the missing number that will make the quadratic finction a perfect square trinomial
x2- ( )x + 400
x2- ( )x + 400
a)
50
b)
25
c)
10
d)
40
25.
How can the discriminant b2-4ac help in determining whether a quadratic function is factorable or prime ?
a)
If its a perfect square its factorable
b)
If its not a perfect square its factorable
c)
If its negative its factorable
d)
If its a fraction its factorable
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