# ALGEBRA TEST - Cortland School District ```PROPORTIONALITY REVIEW 7A
NAME:
DEFINE:
RATE:
UNIT RATE:
PROPORTION:
CONSTANT OF PROPORTIONALITY:
Randy is planning to drive from New Jersey to Florida. Randy recorded the distance traveled and
the total number of gallons used every time he stopped for gas.
Assume miles driven is proportional to Gallons Consumed in order to complete the table.
Gallons
Consumed
2
Miles Driven
54
8
189
12
216
1. Is there a proportional relationship between miles and gallons?
2. What is the constant of proportionality?
3. Use the COP; how far can be driven on 30 gallons of gas? SW
4. Use the COP; how many gallons needed for 432 mile trip? SW
John and Amber work at an ice cream shop.
The hours worked and wages earned are given for each person.
John’s wages
Time (h)
Wages
(\$)
2
18
3
27
4
48
Find the unit rate: SW
15 oz of soda for \$1.05
\$8.10 for 30 cups
16 lbs of burger for \$5.25
3.5 21
?
9 54
1.85 5.55
?
2
6
Is it a Proportion?
SAW
14 7
?
30 15
Solve and Check.
SAW
28 4

35 Q
4 n6

10
25
3
4 6
20 a
Solve by Setting Up a Proportion
SAW
A train goes 225 miles in 2.5 hours. How long would it take the train to travel 585 miles?
A train goes 225 miles in 2.5 hours. How far could the train go in 3.2 hours?
6 cookies cost \$2.16. What is the unit rate?
8 stereos cost \$1160. How much would 5 stereos cost?
A car can go 370 miles in 4 hours. How far can it go in 9 hours?
Topps has a sale on orange juice. \$7.72 for 54 ounces.
P&amp;C regular price is \$5.40 for 37 ounces.
SW
List the 3 ways to write a ratio.
Write a proportion.
Prove your ratios form a proportion.
Explain why they form a proportion.
Set up a proportion to find the missing side(s).
SAW
All shapes below are similar and not drawn to scale.
What is the scale factor for the similar triangles?
What is the scale factor for the similar parallelograms?
What is the scale factor for the right triangles?
What is the perimeter of the small right triangle?
What is the perimeter of the similar triangle?
How can the perimeter of the similar triangle be found without adding all the sides.
Does this way work? Prove/SW.
TRUE/FALSE
For a graph to be linear it needs to be straight or go through the origin.
Proportional triangles work for all triangles.
To show figures are similar all the corresponding angles must be congruent.
The constant of proportionality exist for every chart/graph.
3(x + 10) = 3x + 10
```