Simplify the Expressions
Solve Equations
Constant of Proportionality
Proportional Relationships (Tables and Graphs)
Scales
100
Simplify.
9(2x-5)
18x-45
100
Solve.
3x-12=48
x=20
100
Identify the constant of proportionality from the equation.
y=12x
k=12
100
Does the following graph represent a proportional relationship?
No
100
The actual object has been drawn at a scale of 1in:5ft.
If the side length of the scale drawing is 3 inches, what is the actual side length of the object?
15 feet
200
Simplify.
4x-12y+3x-6x
x-12y
200
Solve.
2w-14+6=44
w=26
200
A recipe uses 5 cups of strawberries per 1/4 cup of sugar. What is the constant of proportionality for the relationship of cups of strawberries to cups of sugar?
20
200
Which graph is representative of a proportional relationship? 1 or 2.
2
200
An object is drawn at a scale of 1in:2ft.
The actual object has a width of 28 ft. What will the scale drawing have a width of?
14 inches
300
Simplify.
-3(2*5)+6-3
-27
300
Solve.
4(2y+10)=80
y=5
300
Write an equation to represent the relationship in the following graph.
c=60w
300
Is the table representative of a proportional relationship? If so, what is the constant of proportionality?
Yes, k=8
300
A scale drawing is used to help create a blueprint of a new garden. Each flower bed is drawn at a scale of 5cm:2yd. The flower beds have a length of 6 yards and width of 2 yards. What will the length and width of the scale drawing be?
length = 15 cm
width = 5 cm
400
Simplify.
(12-15)+2(x+3)-2
2x+1
400
Solve.
3(-x-1)-2x=32
x=-7
400
Rhett works at a food store. He makes $7.50 for every half hour he works. Write an equation to represent the relationship between the money Rhett makes, m, and the hours he works, h.
m=15h
400
Fill out the table.
x=10
y=14
400
Tonya is painting a mural on the side of a building. She draws a scale to help identify how much area she will need to cover. She uses a scale of 2in:5ft to lay out her design. Her design has a length of 12 inches and a width of 20 inches. What is the total area that her design will cover on the actual building?
1,500 sq ft
500
Simplify.
4(x-12)-22+12x
16x-70
500
Solve.
2(-4z+5)+30-5z=-90
z=10
500
Stanley buys mulch. The graph below shows the relationship between the cost of the mulch based on its weight in pounds (lbs). Interpret what the point (5,15) represents in context to the graph. 
For 5lbs of mulch it costs $15.
It costs $15 for 5lbs of mulch.
500
What are the 2 criteria for a graph to be representative of a proportional relationship?
Must be a straight line and go through the origin (0,0).
500
The scale from a playground to this drawing is 5ft:1cm. The scale from the same playground to another drawing is 8ft:1cm. What are the side lengths of the playground in the other scale drawing?
length = 3.75 feet
width = 2.5 feet