Like Terms & Distributive Property

Identify 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

Create Like Terms

100

Create a like term for 2y

Any term with a y (no other exponent than invisible 1)

200

Create a like term for -6

Any constant

300

Create a like term for -13x

Any term with an x as the variable

400

Create a like term for -y

Any term with y as the variable

500

Create a like term for 5,339

Any CONSTANT

Combine 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

Distribute-Medium

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)

-18x - 8

400

Simplify by using the distributive property

6(-x - 7)

-6x - 42

500

Simplify by using the distributive property

3(-4x + 4)

-12x + 12

Distribute-Difficult

100

Simplify by using the distributive property

-3(-x + 5)

3x - 15

200

Simplify by using the distributive property

-10(-4 + 7x)

40 - 7x 

or

-7x + 40

300

Simplify using the distributive property

-4(-5y - 4)

20y + 16

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)

=  -6x + 21

-3