Define "Coefficient"
The number in front of a variable in an algebraic expression that gets multiplied by the variable.
4x + 3x
7x
x=1 y=-3 z=8
x + 3y - z
-16
12z + 18
6(2z + 3)
Which property allows you to change the order of addends or factors?
Commutative
Define "Constant".
The number in an algebraic expression without a variable.
14(3y)
42y
x=1 y=3 z=5
y(x + 2z)
33
60 - 75r
15(4 - 5r)
When looking at a problem, how do you know the difference between the Associative Property and the Distributive Property?
Associative only involves one operation at a time while Distributive involves two at a time.
Define "Term".
A constant or Coefficient/Variable Pair separated by addition or subtraction.
6(14b + 3)
84b + 18
x=7 y=9 z=8
4x + y - z
29
4a - 3a2
a(4 - 3a)
What are the two properties that don't change the value of our original number?
Addition and Multiplication Identities
Define "Variable".
-There is no single definition.
-A letter/symbol/shape used a placeholder to represent an unknown value or number(s).
3 + (y + 7)
10 + y
x=18 y=12 z=6
3[(x/z) - (y/z)]
3
1/6 + 4v
4(1/24 + v)
Factoring is the opposite of this property.
The Distributive Property
Define "Simplest Form".
An algebraic expression is in simplest form when it has no like terms, no parentheses, and the fewest characters possible.
7(w + 6) + 4
7w + 46
x=10 y=14 z=12
zy + x2
284
0.02g + 2
0.02(g + 100)
What is the helpful hint that allows us to remember the Associative Property?
All Stay Same Order