Distributive Property and Solving Equations

Combining LikeTerms

100

12x - 7x + 15 = 15

x = 0

200

8x - 11 - 15x + 5 =15

x=3

300

5x + 7 - 3x + 2 = -21

x=-15

400

3x + 6 - 10x -14 + 2x = 4

x=-2 2/5

500

-18x - 32 +8x -16 - 6x =-96

x=-3

Two-step Equations

100

2x+6=8

x=1

200

5x-6=19

x=5

300

(1/2)x -10=20

x=60

400

(2/5)x +6=8

x=5

500

(x/4) -12 =4

x=64

Two-step Distributive Equations

100

2(x+3)=10

x=2

200

5(x+9)=15

x=-6

300

3(-x-4)=9

x=-7

400

(1/2)(x+10)=8

x=6

500

-12(-5x-8)=-84

x=-3

Perimeter

100

A square has a side length of 7x. If the perimeter is 56 inches, find x.

x=2

200

The width of a rectangle is x and the length is 2x+5. If the perimeter is 46 cm, find x.

x=6cm

300

The width of a rectangle is 3x and the length is x+9. If the perimeter is 98 m, find x and also find the length and the width.

x=10

Width = 30m

Length= 19m

400

The width of a rectangle is x+3 and the length is 5x-4 If the perimeter is 46 ft, find x and also find the length and the width.

x=4

width = 7ft

length = 16ft

500

The width of a rectangle is 3x-5 and the length is 5x+7. If the perimeter is is 68 mm, find x and then find the area!

x=4

width=7mm and length=27

So area=lw=(27)(7)=189 sq mm