Vocabulary
Simplifying Algebraic Expressions
Evaluating Algebraic Expressions
Factoring Algebraic Expressions
Properties
100

Define "Coefficient"

The number in front of a variable in an algebraic expression that gets multiplied by the variable.

100

4x + 3x

7x

100

x=1 y=-3 z=8

x + 3y - z

-16

100

12z + 18

6(2z + 3)

100

Which property allows you to change the order of addends or factors?

Commutative

200

Define "Constant".

The number in an algebraic expression without a variable.

200

14(3y)

42y

200

x=1 y=3 z=5

y(x + 2z)

33

200

60 - 75r

15(4 - 5r)

200

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.

300

Define "Term".

A constant or Coefficient/Variable Pair separated by addition or subtraction.

300

6(14b + 3)

84b + 18

300

x=7 y=9 z=8

4x + y - z

29

300

4a - 3a2

a(4 - 3a)

300

What are the two properties that don't change the value of our original number?

Addition and Multiplication Identities

400

Define "Variable".

-There is no single definition.

-A letter/symbol/shape used a placeholder to represent an unknown value or number(s).

400

3 + (y + 7)

10 + y

400

x=18 y=12 z=6

3[(x/z) - (y/z)]

3

400

1/6 + 4v

4(1/24 + v)

400

Factoring is the opposite of this property.

The Distributive Property

500

Define "Simplest Form".

An algebraic expression is in simplest form when it has no like terms, no parentheses, and the fewest characters possible.

500

7(w + 6) + 4

7w + 46

500

x=10 y=14 z=12

zy + x2

284

500

0.02g + 2

0.02(g + 100)

500

What is the helpful hint that allows us to remember the Associative Property?

All Stay Same Order