O'C Like Terms & Distributive Property

Identifying Like Terms

100

Are 5x and 2y like terms?

No, they have different variables

200

Are 3 and -7 like terms?

Yes, they are terms without variables (CONSTANTS)

300

Are 4y and -4y like terms?

Yes, they have the same variable.

400

Are -x and x like terms?

Yes, they have the same variable

500

Are -1,572 and 54,280 like terms?

Yes, they are terms without a variable, CONSTANTS

Vocabulary

100

3, x, and 8x are examples of what? 

terms

200

3, 5, 1.5, and -9 are examples of what? 

constants

300

Letters used to represent numbers are called what?

variables

400

The number in front of a variable in a term is called what?

a coefficient

500

If a variable doesn't have a visible coefficient, what is the coefficient? 

1

Combining Like Terms

100

Simplify by combining like terms

3x + 2x

5x

200

Simplify by combining like terms

4x - 2x + 1

2x + 1

300

Simplify by combining like terms

-3y + 7y + 10 - 3

4y + 7

400

Simplify by combining like terms

-10 - 5x + 14 - 6x

-11x + 4

500

Simplify by combining like terms

-13x - 7 + 10 + 10x 

-3x + 3

Distributive Property

100

Simplify by using the distributive property

3(4x + 1)

12x + 3

200

Simplify by using the distributive property

5(3x - 10)

15x - 50

300

Simplify by using the distributive property

-2(9x + 4) + 3

-18x - 5

400

Simplify by using the distributive property

-(-x² - 7 + 2y)

x² + 7 - 2y

500

Simplify by using the distributive property

10x + 3(-4x + 4) - 7

-2x + 5

Factoring

100

Factor: 

3x - 15

3(x - 5)

200

Factor:

7m + 42

7(m+6)

300

Factor:

20y + 16 + 8x

4(5y + 4 + 2x)

400

What is the missing number that needs to be distributed?

   ___(-5x - 1)

=  5x + 1

-1

500

What is the missing number that needs to be distributed?

   ___(2x - 7 + 8z)

=  -6x + 21 - 24z

-3