
Proportional Relationships Review
Presentation
•
Mathematics
•
7th Grade
•
Hard
Standards-aligned
Joseph Anderson
FREE Resource
3 Slides • 40 Questions
1
Proportional Relationships
2
Multiple Choice
City Carpet advertises that they can install 1,200 square feet of carpet in 2 1/2 hours. They charge $40 per hour for a special install of 1,920 square feet. How much will they charge?
$40
$100
$120
$160
3
Math Response
Jana ran the first 3 miles of a 5-mile race in 1/3 hour. What was her average rate, in miles per hour, for this first part of the race?
Average rate = __ miles per hour
4
Divide 3 miles by 1/3 hour.
5
Math Response
Elliott is designing his garden. For every 2 red roses, he plans to plant 5 blue delphiniums. Using only these two types of flowers, he plans to plant 16 roses in his garden. How many delphiniums will Elliott use?
_____ delphiniums
6
Labeling
Jenny is using a recipe to make a batch of fruit punch. The ingredients are listed in quarts (qt) and she needs to convert them to liters (L). Use 1 qt = 0.946 L. Complete the table to determine the equivalent amounts. Round to the nearest tenth as needed.
14.2 L
11.4 L
15.9 L
12.7 L
8.5 L
9.5 L
7
Math Response
A painter can paint 150 square feet per hour. He charges $0.33 per square foot. Today he paints for 4.5 hours. How much will he charge?
$_________
8
Math Response
On average, Anna can drive 31 miles on every gallon of gasoline. If she fills up her tank for $2.19 per gallon, how much will it cost her to drive 434 miles?
9
Math Response
The graph shows the total number of markers in 1, 2, 3, and 4 boxes of markers. What is the constant of proportionality?
10
Multiple Select
Which of the following ways can be used to determine whether a linear relationship is proportional? Select all that apply.
The equation is in y = kx form.
The equation is in y = mx + b form.
In a table, the ratios are not equivalent.
In a graph, the line passes through the origin.
The graph of the relationship is a straight line.
11
Math Response
The Smith family was taking a road trip. They traveled 390 miles in 6 hours. Write an equation relating their miles traveled, y, and the number of hours, x.
12
Dropdown
0.25 =
0.5 =
0.75 =
1 =
Constant of proportionality =
13
Drag and Drop
Water fun is
Super Ski is
14
Hotspot
Place an X under yes or no to indicate if each situation represents a proportional relationship.
15
Dropdown
Earth: 85 pounds; Mercury:
Neptune: 120 pounds; Earth:
Jupiter: 320 pounds; Earth:
16
Dropdown
Unit Rate =
Equation:
17
Multiple Select
A salad dressing recipe uses 12 parts oil, 3 parts vinegar, and 2 parts honey. Which of the following sets of ingredients are in a proportional relationship with the recipe? Select all that apply.
A. 9 Tbsp oil, 2 Tbsp vinegar, 1.5 Tbsp honey
B. 6 Tbsp oil, 1.5 Tbsp vinegar, 1 Tbsp honey
C. 15 Tbsp oil, 4 Tbsp vinegar, 3 Tbsp honey
D. 18 Tbsp oil, 4.5 Tbsp vinegar, 3 Tbsp honey
E. 24 Tbsp oil, 6 Tbsp vinegar, 4 Tbsp honey
18
Math Response
The table shows how fast some of the world's fastest animals could travel in different portions of an hour at their top speed. What is the top speed of the Blue Wildebeest in miles per hour?
19
Math Response
The table shows how fast some of the world's fastest animals could travel in different portions of an hour at their top speed. What is the top speed of the Brown Hare in miles per hour?
20
Math Response
The table shows how fast some of the world's fastest animals could travel in different portions of an hour at their top speed. What is the top speed of the Cheetah in miles per hour?
21
Math Response
Given a square with side length of 4.5 inches, what is the area in square centimeters, rounded to the nearest tenth? Use 1 inch = 2.54 centimeters.
22
Labeling
Marcus and his family are planning a vacation that involves horseback riding. Horseshoe Ranch charges a $12.95 ranch entrance fee plus $14.95 per hour to rent horses.
Part a: Complete the table to determine the total cost for 1, 2, 3, and 4 hours.
Part B: Is the total price proportional or nonproportional to the number of hours spent horseback riding?
$72.8
$72.75
$57.80
$27.8
$27.90
$57.7
$42.9
$42.85
23
Drag and Drop
The total price
24
Math Response
Sean needs to buy 150 pounds of dog food for the local dog shelter. The graph shows the relationship between the number of bags of dog food and the total weight of the dog food at Pets Galore. Another store, Healthy Pets, sells dog food in 50-pound bags for $88.45 per bag. If one bag of food from Pets Galore costs $46.04, how much would Sean save by buying 150 pounds of dog food from Pets Galore instead of from Healthy Pets?
25
Multiple Choice
The graph shows the average speed of two cars. Answer true or false. The speed of car A has a constant of proportionality of 60.
True
False
26
Multiple Choice
The graph shows the average speed of two cars. Answer true or false. Car B is traveling faster than car A.
True
False
27
Car A is traveling 60 mph (120mi/2hr). Car B is traveling 45 mph (90mi/2hr).
28
Multiple Choice
The graph shows the average speed of two cars. Place an X in the appropriate column to indicate whether each statement is true or false. Car B takes longer to travel the same distance as car A.
True
False
29
Multiple Choice
The graph shows the average speed of two cars. Answer true or false. The speed of car B has a constant of proportionality of 67.5.
True
False
30
Labeling
Kendall went on a trip with her family and made a chart of how far they had traveled after each hour. Kendall forgot to write down two of the pairs of values but knows that they traveled at the same rate of speed the entire trip. Help Kendall complete the table by selecting the two missing pairs of values.
(65, 1)
(1, 65)
(5, 325)
(325, 5)
(5, 300)
(1, 60)
31
Drag and Drop
32
Math Response
This table shows gallons of water poured in a tank at different time intervals after an inlet pipe is turned on. What number should replace the question mark?
33
Drag and Drop
34
Labeling
Lucy spends $1.75 on a cup of coffee each day. Fill in the following table to represent a proportional relationship.
$1.75
$7.00
$5.25
$12.25
$8.75
$3.00
$3.50
$10.50
35
Math Response
36
Drag and Drop
37
Math Response
38
Dropdown
What is the constant of proportionality (k) of this table?
39
Math Response
What is the constant of proportionality in the graph?
40
Multiple Choice
41
Drag and Drop
42
Dropdown
43
Multiple Choice
Which statement below accurately represents the graph?
$100 is earned for each hour worked
$100 is earned for every 2 hours worked
$500 is earned for every 8 hours worked
$200 is earned for every 3 hours worked
Proportional Relationships
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