Quadratics
Twitter: @Owen134866
www.mathsfreeresourcelibrary.com
, Prior Knowledge Check
1) Solve these equations: 3) Sketch the graphs of the following
𝑥=−5 equations, labelling the points where
a)
each graph crosses the axes:
b) 𝑥=3 a) b)
c) 𝑥=5 𝑜𝑟 − 5 𝟏𝟎
d) 𝑥=0 𝑜𝑟 16 −𝟔
𝟐 𝟓
c) d)
𝟗
𝟏𝟖 𝟎
2) Factorise these expressions
4) Solve these inequalities:
a) b) 𝑥<3
a)
(𝑥+3)(𝑥+5) (𝑥 −2)(𝑥 +5)
b) 𝑥≥9
c) d)
c) 𝑥 ≤ 2.5
(3 𝑥+1)(𝑥 − 5) (𝑥+20)(𝑥 −20) d) 𝑥>− 7
, Teachings for
Exercise 2A and 2B
, Quadratics
A quadratic equation can be written
in the form where , and are real Example
constants, and . They can have 0, 1 Solve the equation…
or 2 real solutions.
a) x 2 9 x
Subtract 9x
2
x 9 x 0
Factorise
x( x 9) 0
Either ‘x’ or ‘x-9’
must be equal to
0
x 0 x 9 0
x 9
2A/B
Twitter: @Owen134866
www.mathsfreeresourcelibrary.com
, Prior Knowledge Check
1) Solve these equations: 3) Sketch the graphs of the following
𝑥=−5 equations, labelling the points where
a)
each graph crosses the axes:
b) 𝑥=3 a) b)
c) 𝑥=5 𝑜𝑟 − 5 𝟏𝟎
d) 𝑥=0 𝑜𝑟 16 −𝟔
𝟐 𝟓
c) d)
𝟗
𝟏𝟖 𝟎
2) Factorise these expressions
4) Solve these inequalities:
a) b) 𝑥<3
a)
(𝑥+3)(𝑥+5) (𝑥 −2)(𝑥 +5)
b) 𝑥≥9
c) d)
c) 𝑥 ≤ 2.5
(3 𝑥+1)(𝑥 − 5) (𝑥+20)(𝑥 −20) d) 𝑥>− 7
, Teachings for
Exercise 2A and 2B
, Quadratics
A quadratic equation can be written
in the form where , and are real Example
constants, and . They can have 0, 1 Solve the equation…
or 2 real solutions.
a) x 2 9 x
Subtract 9x
2
x 9 x 0
Factorise
x( x 9) 0
Either ‘x’ or ‘x-9’
must be equal to
0
x 0 x 9 0
x 9
2A/B
