Quadratic Equations Math Worksheet
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132. QUADRATIC EQUATIONS
IMPORTANT NOTES :
2
+ bx + c = 0; a, b, c are constants and a ≠ 0.
(i)
The general form of a quadratic equation is ax
(ii) Characteristics of a quadratic equation:
(a) Involves only ONE variable,
2
(b) Has an equal sign “ = ” and can be expressed in the form ax
+ bx + c = 0,
(c) The highest power of the variable is 2.
2.1 Recognising Quadratic Equations
EXAMPLES
No
Quafratic Equations (Q.E.)
NON Q.E.
WHY?
2
2
1.
x
+ 2x -3 = 0
2x – 3 = 0
No terms in x
( a = 0)
2
2
2
2
2.
x
= ½
x
= 0
Term
x
x
2
3
2
3
3.
4x = 3x
x
– 2 x
= 0
Term x
2
-1
-1
4.
3x (x – 1) = 2
x
– 3x
+ 2 = 0
Term x
2
2
2
5.
p – 4x + 5x
= 0, p constant
x
– 2xy + y
= 0
Two variables
Exercise : State whether the following are quadratic Equations. Give your reason for Non Q.E.
Q.F.
No
Function
Non Q.F.
WHY?
√
2
0.
3x - 2 = 10 – x
No terms in x
2
2
1.
x
= 10
2
2.
12 – 3x
= 0
2
3.
x
+ x = 6
2
4.
2x
+ ½ x - 3 = 0
6
= x
5.
x
6.
0 = x ( x – 2)
2
7.
2x
+ kx -3 = 0, k constant
2
8.
(m-1) x
+ 5x = 2m , m constant
2
9.
3 – (p+1) x
= 0 , p constant
2
10.
p(x) = x
+ 2hx + k+1, h, k constants
2
11.
f(x) = x
– 4
2
12.
(k-1)x
– 3kx + 10 = 0 , k constant
2 Quadratic Equations
1
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