Key Definitions
What is a pronumeral?
Then give an example.
-> A letter used to represent a number. E.g. a, x, y.
Simplify:
4x+2x+5x
=11x
Simplify:
2a\times4b
=8ab
The sum of 6 and g.
6+g
If a = 3, evaluate:
5+a+a
=11
Expand:
4(x+2)
4x+8
Factorise:
2m+20
2(m+10)
What is the coefficient of "b" in the following expression?
2a-3b+4c
The coefficient of "b" is:
-> -3
Simplify:
8n-6n-3n
=-1n
Simplify:
2pxx5mxxp
=10mp^2
The square root of 3 less than m
=sqrt(m-3)
If b = 4, evaluate
2b-b
=4
Expand:
3(n-2m)
3n-6mn
Factorise:
9m-12
3(m-4)
What are like terms?
Give an example of a like term to "5a".
-> Terms that contain the exact same letter/s.
-> E.g.
Simplify:
5b+b+b-b
=6b
Simplify:
(8ab)/(2ac)
=(4b)/c
The product of 4m and 3m and m.
(BONUS if you can simplify after!)
4mxx3mxxm = 12m^3
If m = 3 and k = 4, evaluate:
5m-mk
5xx(3)-(3)xx(4)=3
Expand:
-8x(2x+y)
-16x^2-8xy
Factorise:
4x^2-20x
4x(x-5)
What is a constant term and which one is it in the following expression?
6 + 3a -4b
-> A constant term is a number without a letter.
-> E.g. 6
Simplify:
3m^2-5m^2-3n-4n
=-2m^2-7n
Simplify:
(12xxfxxf)\div(6xxfxxg)
=(2f)/g
The quotient of 2m and 6mn.
(BONUS if you can simplify after!)
(2m)/(6mn)=1/(3n)
Write in expanded form, then substitute x = 3 and y = 2.
3x^2y
2timesxtimesxtimesy = 2times3times3times2
=36
Expand:
-5b(3-b^2)
-15b+5b^3
Factorise:
-18xy^2-12xy
-6xy(3y+2)