Simplifying Expressions

Distributive Property

100

Simplify:

2(x + 3)

2x + 6

200

Simplify:

4(x + y - z)

4x + 4y - 4z

300

Simplify:

2(3x - 5)

6x - 30

400

Simplify:

x(x + 3)

x² + 3x

500

Simplify:

x(2x + 3y)

2x² + 3xy

Combining Like Terms (I)

100

Simplify:

2a + a

3a

200

Simplify:

2x + 3y + 8x

10x + 3y

300

Simplify:

5 + 2(y + 8)

2y + 21

400

Simplify:

3(a + b) + 4(a + b)

7a + 7b

500

Simplify:

p + 9q + 9 + 14p

15p + 9q + 9

Combining Like Terms (II)

100

Simplify:

2x² + 3x²

5x²

200

Simplify:

2x² + 3x

Can't be simplified.

300

Simplify:

x + x² - 3x

x² - 2x

400

Simplify:

-x(x + 3) + 3x

-x² 

500

Simplify:

x(x + 3) + 3(x + 3)

x² + 6x + 9

Add/Sub Expressions

100

(2x + 9) + (-5x + 6)

-3x + 15

200

(-12x² - 8) + (-6x² +3x)

-18x² +3x -8

300

(-6x + 8) - (2x - 7)

-8x + 1

400

(12 -4x³ +6x) - (-3x + 7x² - 7)

-4x³ +7x² + 9x + 19

500

Write an expression for the area of a rectangle with the following side lengths:

x + 3, x + 3, 2x, 2x

2x² + 6x

Factor Expressions

100

30x - 25 Factor GCF

5(6x - 5)

200

-24x + 36 Factor GCF

12(-2x +3)

300

Factor GCF

7x² + 21x - 42

7(x² + 3x - 6)

400

Factor coefficient

1.2x + .36

1.2(x + .3)

500

Factor out -3ab

12a²b + 36ab - 24a⁴b³ - 30ab⁵

-3ab(-4a - 12 +8a³b² + 10b⁴⁾