Vocabulary
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
12z + 18
6(2z + 3)
Which property is shown below
7 * 0 = 0
Multiplication Property of Zero
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)
Which property is shown below
(3 + 4) + 4 = 3 + (4 + 4)
Associative Property
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
12 - 3a
3(4 - 1a)
Which property is shown below
4 + 9 = 9 + 4
Commutative Property
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
16 + 4v
4(4 + v)
Which property is shown below
4 * (7 * 9) = (4 * 7) * 9
Associative 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
2g + 2
2(g + 1)
Which property is shown below
2(8 + x) = 16 + 2x
The Distributive Property