Simplifying Equations and the Distributive Property

Simplify: 12+ 2a(4b-4)+4(-2ab-a)

-12a+12

Simplify: 6(-3x)-9+3(-2x+6)

-24x+9

Evaluate for: x=3 5-(7x-12)

-4

Another way to write x-x-x-x-x is...

-4x

Another way to write -x-x-x-x-x

-5x

Simplify: 5-(7x-12)

-7x+17

Simplify: 4d+(-5)+1+(-5d)+5

-d+1

Evaluate for: a=0 12+ 2a(4b-4)+4(-2ab-a)

12

Simplify: 12+(2x-2xy)5-8x

12-2x-10xy

Evaluate for: x=3, y=2, and z=1 3x+y+3z+3+2y

18

How many variable terms are in the expression: 12b+7c-12

2

How many terms are in the expression: 12b+7c-12

3

Simplify: 3x+y+3z+3+2y

3x+3y+3z

How many terms are in the expression: ab-2abc-ab+3abc

4

Simplify: 4x-10x(8-8)

4x

Evaluate for: x= -1 -x-x-x-x-x

5

How many terms are in the expression: 8+4-2-9+10

5

Another way to write 2b+2b+2b is...

6b

Evaluate for: a=-2, b=4, and c=-10 ab-2abc-ab+3abc

80

Definition: The letter part of a variable term. Represents the multiplier or divider of your variable. Term: ?

Coefficient

Using the labels variables, constant, or coefficient, identify the number 7 in the following expression: 12b+7c-12

Coefficient

Definition: A lone number in your expression. Represent the part of the rule, or expression, that will not change. Term:?

Constant

Using the labels variables, constant, or coefficient, identify the number -12 in the following expression: 12b+7c-12

Constant

Using the labels variables, constant, or coefficient, identify the number 4 in the following expression: 5a-c+4

Constant

Definition: The letter part of a term. It represents a value in your expression that can change. Term: ?

Variable

Using the labels variables, constant, or coefficient, identify "b" in the following expression: 12b+7c-12

Variable

Definition: A term with both a variable part and a number part Term:

Variable Term

Simplify: ab-2abc-ab+3abc

abc

When there is a negative sign outside of a set of parenthesis, like this: 2 - (x+2) you must __________________ the negative sign

distribute

Defintion: ? Term: Like terms

terms that have exactly the same variable part

For two terms to be like, they must have the exact same ____________ and the exact same ________________

variables; exponents