How do you expand single brackets?
Example: 4 (a+1)
4a=4a
41=4
=4a+4
How do you expand double brackets?
Example:(x+2)(x+3)
Xx=x^2
X3=3x
2x=2x
23=6
=x^2+3x+2x+6
=x^2+6x+6
What is an equation?
Example :5π₯ + 2 = 47
An equation is formed when two expressions have the same value for some unknown algebraic term.
What is an expression?
Example:3π₯ + 2
An expression is a collection of numbers, algebraic terms and operations describing one or multiple calculations.
What is a formula?
Example:π = 2(π + π€)
A formula is a collection of numbers, algebraic terms and operations describing how to find the value of a specific variable.
What is an identity?
Example:7(π₯ β 3) β‘ 7π₯ β 21
An identity is two expressions that are always equal in value.
How do you add and subtract indices?
Example: 7π^3 + 4π3 β 2π^3 = 9π^3
You add or subtract the base
How do you divide and multiply by indices?
Example: π^4 Γ π^2 Γ π^5 Γ π β‘ π^5π^7
π₯^π Γ π₯^π β‘ π₯^π+π
You add the base and the indices with the same letter
Example: 15π¦^14 Γ· 5π¦^3 β‘ 3π¦^11
π₯^π Γ· π₯^π β‘ π₯^πβπ
You subtract the base and the indices with the same letter
What is the equation for a straight line?
π¦ = ππ₯ + π
Y is the y axis
X is the x axis
M is the gradient
C is the y axis intercept
What does term to term rule mean?
Tells you how a sequence changes from one term to the next
What does the position to term rule mean?
This tells you how any term in a sequence is generated
