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Extra Questions Quadratics
1
Mathematics Calendar November 3 2011
If you graph this equation on the x, y plane at
what x-coordinate does it intersect the xaxis?
2

 15x 2  43x  30 
4x 2  1



2
2
 10x  17x  6  6x  7x  5 
x 2  6x  y 2  8y  9
3
Mathematics Calendar April 19 2009
Find the positive root of
4
10x 2  187x  57
5
Mathematics Calendar November 7 2009
6
(x  y)  39
xy  16
x 2  y2  ?
Mathematics Calendar September 7 2009
Determine this equation’s positive root
3x 2  16x  35
9
2x 2  27x  45
11 Mathematics Calendar May 6 2007
What is this equation’s positive root?
6x 3  15x 2  126x
9
4x
15 Mathematics Calendar June 12 2007
3x  34x  24x
find x such that x  0  ?
3
Mathematics Calendar March 12 2006
Find this equation’s positive restrictions
10 Mathematics Calendar June 29 2006
The area of a certain rectangle is 203cm2. Its perimeter
is 72cm. What is the size of the rectangle’s length?
12 Mathematics Calendar May 11 2007
For which positive value is this equation undefined?
3x 2
5
2
2x 19x 33
13 Mathematics Calendar June 7 2007
What are this equation’s positive
restrictions?
 x3 4x62x21x 
8
3
2 
1
2x  24 x 2 144 3
Mathematics Calendar June 15 2006
Find a positive solution for
3x 5
14  2x
Mathematics Calendar April 9 2006
If the sides of a square are decreased by 3m, the area is
decreased by 45m2. Find the length of the original
square.
Mathematics Calendar June 17 2007
(x 2  4)(x 2  4)  81225
Find x so that
xI & x  0
2
7
Mathematics Calendar February 1 2009
Simplify
2
17 Mathematics Calendar July 14 2007
To make this quadratic expression a perfect
square b = ?
1 x 2  bx  196
4
19 Mathematics Calendar January 14 2008
7x 2  ? x  7
Find ? so that the above quadratic can be
factored into (bx-b)2, where b is a real
number.
21 Mathematics Calendar February 27 2008
The page numbers of facing pages of a book
are multiplied and the product is 702. What
is the number on the right side page?
14 Mathematics Calendar June 8 2007
(ax - 3)  0 and
(ax  3)(a 2 x 2  24x  9)  a 3 x 3  27
then a  ?
16 Mathematics Calendar June 21 2007
Suppose the quadratic equation with roots 3 and 21/3 is
written in the form ax2+bx+c=0. What is the smallest
positive integer that c equals?
18 Mathematics Calendar October 7 2007
x2
x

7
x 1 x 1
20 Mathematics Calendar May 9 2008
What is the coefficient of the ax term?
(18x  1 a)(324x 2  ? a  1 a 2 )  (5832x 3  1 a 3 )
2
4
8
22 Mathematics Calendar June 23 2008
2x 2  bx  70
Find b so that the above quadratic equation’s larger
solution is a natural number between 10 & 20.
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