Proportional Relationships and Weight Problems

This video tutorial covers various mathematical concepts for seventh-grade students. It begins with an introduction to unit two, lesson five, and explains the conversion between meters and kilometers. The tutorial then discusses equations relating the weight of concrete blocks to their number. It also covers pricing calculations for nylon rope based on length. The video further explores proportional relationships, finding constants of proportionality, and writing equations. Finally, it explains map scale representations and equivalent scales.

How many kilometers are equivalent to 3500 meters?

• 3.5 km

• 35 km

• 0.35 km

• 350 km

What is the equation to convert meters to kilometers?

• y = x/100

• y = 100x

• y = x/1000

• y = 1000x

If each concrete block weighs 28 pounds, what is the equation for the total weight of b blocks?

• w = b/28

• w = 28 + b

• w = 28b

• w = 28 - b

How many blocks are there if the total weight is 56 pounds?

• 2 blocks

• 4 blocks

• 1 block

• 3 blocks

What is the cost per meter of nylon rope?

• $0.50

• $1.25

• $1.00

• $0.80

How long is a piece of nylon rope that costs $1?

• 2 meters

• 1.25 meters

• 0.8 meters

• 1 meter

What is the constant of proportionality if a = 2 and y = 2/3?

• 1/2

• 2/3

• 3/2

• 1/3

Which equation represents the proportional relationship from the table?

• y = 3/a

• y = 3a

• y = a + 3

• y = a/3

On a map, 1 cm represents 100 meters. Which statement represents the same scale?

• 1 cm = 10 cm

• 1 cm = 10 meters

• 1 cm = 1 km

• 1 cm = 1000 meters

Which statement does NOT represent the same scale as 1 cm = 100 meters?

• 1 cm = 1000 meters

• 1 cm = 50 meters

• 1 cm = 1 km

• 1 cm = 10 meters