Lesson 05: Two Equations for Each Relationship | Unit 2: Introducing Proportional Relationships

Multiple Choice

What is the relationship between a length measured in meters and the same length measured in kilometers?

• To convert x kilometers to meters, x meters = x * 1000.
• To convert x meters to kilometers, x kilometers = x * 100.
• To convert x meters to kilometers, x kilometers = x / 100.
• To convert x meters to kilometers, x kilometers = x / 1000.

Multiple Choice

The table represents the relationship between a length measured in meters and the same length measured in kilometers. Which equation correctly converts the number of meters to kilometers using $$x$$ for the number of meters and $$y$$ for the number of kilometers?

• y = x / 1000
• y = x - 1000
• y = x + 1000
• y = x * 1000

Multiple Choice

Concrete building blocks weigh 28 pounds each. Using $$b$$ for the number of concrete blocks and $$w$$ for the weight, which of the following are the correct equations that relate the two variables?

• w = 28b
• w = b/28
• w = 28 + b
• w = 14b

Multiple Choice

A store sells rope by the meter. The equation $$p = 0.8L$$ represents the price, $$p$$ , in dollars of a piece of nylon rope that is $$L$$ meters long. How much does the nylon rope cost per meter?

• 1 dollar per meter
• 0.5 dollars per meter
• 2 dollars per meter
• 0.8 dollars per meter

Multiple Choice

A store sells rope by the meter. The equation $$p = 0.8L$$ represents the price, $$p$$ , in dollars of a piece of nylon rope that is $$L$$ meters long. How long is a piece of nylon rope that costs $1.00?

• 1 meter
• 1.25 meters
• 1.5 meters
• 2 meters

Multiple Choice

There are about 1.61 kilometers in 1 mile. Use $$x$$ to represent a distance measured in kilometers and $$y$$ to represent the same distance measured in miles. Which of the following equations correctly relate a distance measured in kilometers and the same distance measured in miles?

• y = x + 1.61
• y = 1.61x
• y = x / 1.61
• y = x * 1.61

Multiple Choice

Elena and Jada both read at a constant rate, but Elena reads more slowly. For every 4 pages that Elena can read, Jada can read 5. If Elena reads 9 pages, how many pages does Jada read?

• 9
• 10
• 12
• 11

Multiple Choice

Elena and Jada both read at a constant rate, but Elena reads more slowly. For every 4 pages that Elena can read, Jada can read 5. Here is an equation for the table: $$j = 1.25e$$ . What does the 1.25 mean?

• 1.25 indicates the number of pages Elena reads in the same time Jada reads 5 pages.
• 1.25 shows the total number of pages both read together.
• 1.25 represents the factor by which Jada's reading rate exceeds Elena's.
• 1.25 is the ratio of the time it takes Jada to read compared to Elena.

Multiple Choice

Elena and Jada both read at a constant rate, but Elena reads more slowly. For every 4 pages that Elena can read, Jada can read 5. Which equation represents this relationship?

• 5E = 4J
• J = 4E + 5
• 5E = 4J + 1
• 4E = 5J

Multiple Choice

While in math class, Priya and Kiran come up with two ways of thinking about the equation $$5k = 1750$$ . What value of $$k$$ would each student get using their own method?

• 250
• 500
• 1750
• 350