ebraic Method
Twitter: @Owen134866
www.mathsfreeresourcelibrary.com
, Prior Knowledge Check
1) Simplify: 4) Find the equation of the
lines that pass through these
a) b)
𝒙 points:
𝟏𝟓 𝒙𝟕 𝟑𝒚 a) (-1,4) and (5,-14) 𝒚=𝟏− 𝟑 𝒙
2) Factorise:
b) (2,-6) and (8,-3) 𝒚 = 𝟏 𝒙 −𝟕
a) 𝟐
( 𝒙 −𝟔)( 𝒙+ 𝟒)
b)
(𝟑 𝒙 −𝟓)(𝒙 −𝟒) 5) Complete the square for
3) Use long division to these expressions:
calculate:
a) ( 𝒙 −𝟏 )𝟐 −𝟐𝟏
a) 197541 ÷ 9 𝟐𝟏𝟗𝟒𝟗 b) 𝟐
𝟐 ( 𝒙 +𝟏 ) +𝟏𝟑
b) 56168 ÷ 34
𝟏𝟔𝟓𝟐
,Teachings for
Exercise 7A
, Algebraic Methods
You can simplify algebraic 7 x 4 2 x3 6 x
fractions by using division
x
Sometimes you need to look for
common factors to each term
7 x 4 2 x3 6 x
In this case, every term, top and x
bottom, contains an x
Divide all
by x
You can therefore ‘cancel’ an x 7 x3 2 x 2 6
from each part
1 Don’t need
to divide by
1!
7 x3 2 x 2 6
7A
Twitter: @Owen134866
www.mathsfreeresourcelibrary.com
, Prior Knowledge Check
1) Simplify: 4) Find the equation of the
lines that pass through these
a) b)
𝒙 points:
𝟏𝟓 𝒙𝟕 𝟑𝒚 a) (-1,4) and (5,-14) 𝒚=𝟏− 𝟑 𝒙
2) Factorise:
b) (2,-6) and (8,-3) 𝒚 = 𝟏 𝒙 −𝟕
a) 𝟐
( 𝒙 −𝟔)( 𝒙+ 𝟒)
b)
(𝟑 𝒙 −𝟓)(𝒙 −𝟒) 5) Complete the square for
3) Use long division to these expressions:
calculate:
a) ( 𝒙 −𝟏 )𝟐 −𝟐𝟏
a) 197541 ÷ 9 𝟐𝟏𝟗𝟒𝟗 b) 𝟐
𝟐 ( 𝒙 +𝟏 ) +𝟏𝟑
b) 56168 ÷ 34
𝟏𝟔𝟓𝟐
,Teachings for
Exercise 7A
, Algebraic Methods
You can simplify algebraic 7 x 4 2 x3 6 x
fractions by using division
x
Sometimes you need to look for
common factors to each term
7 x 4 2 x3 6 x
In this case, every term, top and x
bottom, contains an x
Divide all
by x
You can therefore ‘cancel’ an x 7 x3 2 x 2 6
from each part
1 Don’t need
to divide by
1!
7 x3 2 x 2 6
7A
