Linear Expressions

Distributing Expressions

100

6(4x+3)

24x+18

200

9(3x-4y)

27x-36y

Adding Expressions

100

(-5x+4) + (12x-9)

7x-5

200

(x-4) + (-2x+1)

-1x-3

300

(12x+5) + (3x-7)

15x-2

400

(0.5x+15) + (8.2x-16.6)

8.7x-1.6

500

A rectangle has side lengths of (10x+20), (7x+8), (6x-6), and (9x-5). Find the perimeter of the rectangle.

(32x+17) 

Subtracting Expressions

100

(6b-10) - (2b-8)

4b-2

200

(6b-10) - (2b-8)

4b-2

300

(5x-9)-(2x-7)

3x-2

400

(-5c-4)-(2c+3)

-7c-7

500

(5.7y-0.8)-(4.9x-1.4)

4.9x+5.7y+0.6

Factoring Expressions

100

6x+60

6(1x+10)

200

 4x+24

4(1x+6)

300

10x-70-15y

5(2x-14-3y)

400

-24x-12a

6(-4x-2a)

500

60x-6y+24

6(10x-1y+4)

Combining Like Terms

100

6x+12y+5x

11x+12y

200

5y+3x-2y

3x+3y

300

10y+20y+40x-90x+9

-50x+30y+9

400

80x+28y-40x-16+4

40x+28y-12

500

6x+9x+5y-2y+18

15x+3y+18