Grade 7 | Unit 3 | Lesson 1: How Well Can You Measure? | Practice Problems

Estimate the side length of a square that has a 9 cm long diagonal.

• 6.3 cm

• 7 cm

• 8 cm

• 5 cm

Select all quantities that are proportional to the diagonal length of a square.

• Area of the square

• Perimeter of the square

• Side length of the square

Diego made a graph of two quantities that he measured and said, “The points all lie on a line except one, which is a little bit above the line. This means that the quantities can’t be proportional.” Do you agree with Diego? Explain.

The graph shows that while it was being filled, the amount of water in gallons in a swimming pool was approximately proportional to the time that has passed in minutes. About how much water was in the pool after 25 minutes?

• About 380 gallons

• About 400 gallons

• About 350 gallons

• About 300 gallons

The graph shows that while it was being filled, the amount of water in gallons in a swimming pool was approximately proportional to the time that has passed in minutes. Approximately when were there 500 gallons of water in the pool?

• After about 35 minutes

• After about 40 minutes

• After about 30 minutes

• After about 45 minutes

The graph shows that while it was being filled, the amount of water in gallons in a swimming pool was approximately proportional to the time that has passed in minutes. Estimate the constant of proportionality for the gallons of water per minute going into the pool.

• About 15

• About 20

• About 10

• About 25