Two Step Inequalities
Simplify the Expression
Perimeters
Simplify using the Distributive Property
Name the Formula
100

Solve and Graph:

8y-5<3

y<1

<---------O

100

12g+9g

21g

100

The perimeter of a triangle with lengths 5cm, 7cm, and 3cm

15 cm

100

3(x+5)

3x+15

100

2l+2w

Perimeter of a Rectangle

200

Solve and Graph:
-2> m/6 - 7

m<30

<------------o

200

8+4a+6.2-9a

14.2-5a

200

The perimeter of a parallelogram is 24.2 in, with sides 8.3 in, 8.3 in, 3.8 in, and x. What is the value of x?  

x=3.8 in

200

−3(2x−5

−6x+15

200

2πr

Circumference

300

Solve and Graph:
-8 ≤ 2/5 (k-2)

k ≥ -18

•---------------->

300

-2/3 (12c-9) + 14c

6c+6

300

Perimeter of a regular octagon is 64 mm, what are the side lengths? 

The side lengths are 8 mm

300

2(4x+1)+5

8x+7

300

b×h


Area of a Parallelogram 
400

Solve and Graph:
20 ≥ -3.2(c-4.3)

c≥-1.95

•--------->


400

What is the difference between an expression and an equation? 

An equation has an equal sign and is balanced.

400

A rectangular community garden has a total perimeter of 120 meters. If the length of the garden is 35 meters, what is the width of the garden?

25 m

400

−4(3y−2)+y

−11y+8

400

1/2 (b1+b2)h

Area of a Trapezoid 

500

5(g+4)>15

g > -1

o------------>

500

4p-5(p+6)

-p-30

500

The diameter of circle is 9 in, what is the circumference?

28.27 in

500

3(2x+5)−2(x−4)

4x+23

500

𝑎 ( 𝑏 + 𝑐 ) = 𝑎 𝑏 + 𝑎 𝑐

The Distributive Property