Practice Questions For: C1 - Quadratic Equations

A Set of practice questions on quadratic equations and graphs. Remember, A good diagram is even more important when the questions get more difficult and more complicated.

 

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  • Created by: lukedando
  • Created on: 07-05-15 07:53
Preview of Practice Questions For: C1 - Quadratic Equations

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Homework 5
A good diagram is even more important when the questions get more
difficult and more complicated.
1. Solve x2
­ 2x ­ 8 > 0
2. Solve x2
­ 6x + 5 > 0
3. Solve the simultaneous equations
x + y2
= 10 and x ­ 2y = 2
4. Find the set of values of x for which
(a )3(2x+ 1) > 5 ­ 2 x ,
(b ) 2x2
­ 7
x + 3 > 0,
(c )both3(2 x + 1) > 5 ­ 2x and
2x2
­ 7x+ 3 > 0.
5. The line Lhas equation 2x+y= 9.
(a) Solve the simultaneous equations
2x+y=9 and (x­ 2)2 + y2 = 5.
(b) Hence state the nature of the geometrical relationship between
the line Land the circle which has equation (x­ 2)2 + y2=5
6. The point P(1, a) lies on the curve with equation y= (x+ 1)2
(2 ­
x).
(a) Find the value of a .
(b) Sketch the curves with the following equations:
(i) y = (x+ 1)2
(2 ­
x ),
(ii) y= .
On your diagram show clearly the co-ordinates of any points at which the
curves meet the axes.
(c) With reference to your diagram in part (b), state the number of real
solutions to the equation
(x+ 1)2
(2 ­
x)= .

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