Equations and
Inequalities
Twitter: @Owen134866
www.mathsfreeresourcelibrary.com
, Prior Knowledge Check
1)This question concerns only 3) Match the equations with the correct
the numbers from 1-13 graphs (not to scale), and label all
intersections with the axes, as well as any
turning points
a)
Write down the values in b)
these sets: c)
𝒃¿
a) b) 𝒄¿ 𝟗
𝑨∩ 𝑩= { 𝟏,𝟐 ,𝟒 }( 𝑨∪ 𝑩 )′ = {𝟕 ,𝟗, 𝟏𝟏, 𝟏𝟑 } 𝟖 (𝟐,𝟒)
2) Simplify these −𝟐.𝟓 𝟕 −𝟑 𝟑
expressions: −𝟑𝟓
a) b) (𝟒.𝟕𝟓,−𝟑𝟐.𝟔𝟐𝟓) 𝒂¿
𝟓 √𝟑 √ 𝟓+𝟐 √ 𝟐
,Teachings for
Exercise 3A
, Equations and Inequalities
Linear simultaneous equations in two Example
unknowns have one set of values
that will make both equations true Solve the following Simultaneous
at the same time. Equations by Elimination
1 2 x 3 y 8 2 x 3 y 8
x3
They can be solved in various ways, 2 3 x y 23 9 x 3 y 69
such as by elimination or by
substitution.
Add
Elimination involves finding a way to
11x 77
cancel a variable when the equations x 7
are added or subtracted
Substitute
x in to ‘2’
2 3 x y 23
21 y 23
y 2
3A
Inequalities
Twitter: @Owen134866
www.mathsfreeresourcelibrary.com
, Prior Knowledge Check
1)This question concerns only 3) Match the equations with the correct
the numbers from 1-13 graphs (not to scale), and label all
intersections with the axes, as well as any
turning points
a)
Write down the values in b)
these sets: c)
𝒃¿
a) b) 𝒄¿ 𝟗
𝑨∩ 𝑩= { 𝟏,𝟐 ,𝟒 }( 𝑨∪ 𝑩 )′ = {𝟕 ,𝟗, 𝟏𝟏, 𝟏𝟑 } 𝟖 (𝟐,𝟒)
2) Simplify these −𝟐.𝟓 𝟕 −𝟑 𝟑
expressions: −𝟑𝟓
a) b) (𝟒.𝟕𝟓,−𝟑𝟐.𝟔𝟐𝟓) 𝒂¿
𝟓 √𝟑 √ 𝟓+𝟐 √ 𝟐
,Teachings for
Exercise 3A
, Equations and Inequalities
Linear simultaneous equations in two Example
unknowns have one set of values
that will make both equations true Solve the following Simultaneous
at the same time. Equations by Elimination
1 2 x 3 y 8 2 x 3 y 8
x3
They can be solved in various ways, 2 3 x y 23 9 x 3 y 69
such as by elimination or by
substitution.
Add
Elimination involves finding a way to
11x 77
cancel a variable when the equations x 7
are added or subtracted
Substitute
x in to ‘2’
2 3 x y 23
21 y 23
y 2
3A
