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Patterns and Rules
Adding and Subracting Like Terms
Multiplying Pronumerals
Division of Pronumerals
Vocabulary!
100
Find the rule. x = 4, y = 3, x = 5, y = 2, x = 6, y = 1, x = 7, y = 0
y = 7 - x
100
5x + 6y =
5x + 6y (They are not like terms.)
100
5 x 2a =
10a
100
12x/4x
3
100
The number in front of the VARIABLE is called the...
COEFFICIENT
200
Find the rule. x = 0, y = 0, x = 1, y = 7, x = 2, y = 14, x = 3, y = 21,
y = 7x
200
21x + 9x=
30x
200
3m x 2n =
6mn
200
12mn/6m =
2/n
200
This can be a constant or an EXPRESSION involving 1 or more variables.
TERM
300
Find the rule. x = 8, y = 3, x = 9, y = 4, x = 10, y = 5, x = 11, y = 6
y = x - 5
300
2x + 7y - 4x =
7y - 2x OR -2x + 7y
300
1/3 x 15k =
5k
300
7/21x =
1/3x
300
5 - 4x + 8y is an example of a ...
TRINOMIAL
400
Find the rule. x = 1, y = 12, x = 2, y = 6, x = 3, y = 4, x = 4, y = 3
y = 12/x
400
7x^2 + 6x - 6x^2 - 9x =
x^2 - 3x
400
3a x 4b x 2c =
24abc
400
12mn/-3n =
-4m
400
This is another word for variable.
PRONUMERAL
500
Find the rule. x = 1, y = 5, x = 2, y = 7, x = 3, y = 9
y = 2x + 3
500
5xy - 2yx =
3xy Remember, xy = yx
500
(-2a) x (-3y) x (-4a) =
-24a^2y
500
-30m/-6m^2 =
5/m
500
When you collect like terms, you are doing this.
SIMPLIFYING