Simplifying Algebraic Expressions
4x + 3x
7x
Which property allows you to change the order of addends or factors?
Commutative
x - (-8) = 27
x = 19
3.204 + (-2.19)
1.014
Define "Coefficient"
The number in front of a variable in an algebraic expression that gets multiplied by the variable.
14(3y)
42y
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.
n + 2.7 = -13.4
n = -16.1
-10.17 + (-8.67)
-18.84
Define "Constant".
The number in an algebraic expression without a variable.
6(14b + 3)
84b + 18
What are the two properties that don't change the value of our original number?
Addition and Multiplication Identities
6h = -84
h = -14
16.34 - (-8.49)
24.83
Define "Term".
A constant or Coefficient/Variable Pair separated by addition or subtraction.
3 + (y + 7)
10 + y
What is the helpful hint that allows us to remember the Associative Property?
1) All Stay Same Order
2) it includes parentheses and only one operation
f + 3.8 = 9.2
f = 5.4
15.42(-3.13)
-48.2646
Define "Variable".
A letter/symbol/shape used a placeholder to represent an unknown value or number(s).
7(w + 6) + 4
7w + 46
What is the only property that must involve a fraction?
Multiplicative Inverse Property
75.6 = -7.2r
-10.5 = r
-29.469 / -4.7
6.27
Define "Simplest Form".
An algebraic expression is in simplest form when it has no like terms, no parentheses, and the fewest characters possible.