Simplifying Algebraic Expressions

Parts of Algebraic Expressions

100

How many terms are in the following expression: 

2x-3y+5-3x-8

5 terms

200

What terms can you combine? List them all 

0.5p+6m-5+1.5p-12.5m+2

-12.5m and 6m

0.5p and 1.5p 

-5 and 2

300

What is the constant in the following expression: 

2y-5+7x

-5

400

What are the coefficients in the following expression: 

7+4p-5+p+2q

4, 1 and 2

500

How many terms are in the expression: 

1.4y+5-4.2-5y+z-10

6 terms

Combine Like TermsLevel 1

100

Simplify the expression:

11x+9-7

11x+2

200

Simplify the expression:

4.2v-5-6.5v

-2.3v-5

300

Simplify the expression:

8s-11s+6

-3s+6

400

Simplify the expression:

8+4a+6.2-9a

14.2 - 5a

500

Simplify the expression:

-2/10y-4+7-9/10y

-11/10y + 3

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

Combine Like TermsLevel 2

100

Simplify:

-3x+12-16+7x

4x-4

200

Simplify:

15m+26+12x-12x-8m

7m+26

300

Simplify:

12p+9p-6p+14-26+2p

17p-12

400

Simplify:

-8g+12-15g-2g-17

-25g-5

500

Simplify:

-8x+12-8x+15+15x-22-x

-2x - 5

Factor

100

Factor Completely

6x+12

6(x+2)

200

Factor Completely

15y−20

5(3y-4)

300

Factor Completely

2x+4y+6z

2(x+2y+3z)

400

Factor Completely

56x - 70

14(4x-5)

500

Factor Completely

8j + 16k -32

8(j + 2k -4)