Simplifying Algebraic Expressions

Combine Like Terms

100

Which ones are like terms:  

5p-6m-5x+2m+2

-6m and 2m

200

Simplify the expression. 

4v-5+6v

10v - 5

300

Simplify the expression.

11s-8s+6

3s+6

400

Simplify the expression. 

4a+6-3a

1a +6

500

Simplify the expression. 

25y+12-7-5y

20y + 5

Distribute

100

Simplify. 

3(q+1)

3q+3

200

Simplify. 

4(q+7)

4q+28

300

Simplify. 

4(3x+12)

12x+48

400

Simplify. 

3(4x+10)

12x+30

500

Simplify. 

6(3x-6)

18x-36

Distribute & Combine Like Terms

100

Simplify. 

3(x + 2) + 2x

5x + 6

200

Simplify. 

5(2x + 5) + 20

10x + 45

300

Simplify. 

7(2 + 8x) + 12

56x + 26

400

Simplify. 

2(6x + 10x) + 4y

22x + 4y

500

Simplify. 

3(2y + 5x) + 6y +3x

18x + 12y

Factor

100

Factor out a multiple of 2:

12x + 16

2 (6x + 8)

200

Factor out a multiple of 4:

12x + 16

4 (3x + 4)

300

Factor out the greatest common factor:

5x + 100

5 (x + 20)

400

Factor out the greatest common factor:

-9x - 12

-3 (3x + 4)

500

Factor and Simplify:

6x + 4 + (-2x)

4 (x + 1)