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

2
100

12z + 18

6(2z + 3)

100

Which property is shown below 

7 * 0 = 0

Multiplication Property of Zero 

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

Which property is shown below 

(3 + 4) + 4 = 3 + (4 + 4) 

Associative Property 

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

12 - 3a

3(4 - 1a) 

300

Which property is shown below 

4 + 9 = 9 + 4

Commutative Property

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

16 + 4v

4(4 + v)

400

Which property is shown below 

4 * (7 * 9) = (4 * 7) * 9

Associative 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

2g + 2

2(g + 1)

500

Which property is shown below 

2(8 + x) = 16 + 2x

The Distributive Property