Unit Rates and Proportions Problems

The video tutorial covers various mathematical concepts, including unit ratios, calculating earnings per lawn, solving ratio problems with shoes, determining tile laying rates, finding unit rates in different scenarios, analyzing steel composition ratios, graphing headphone costs, dividing decimals, and solving a path signage problem using fractions. Each section provides practical examples and step-by-step calculations to enhance understanding.

If Roberto mows 3 lawns for $90, how much does he earn per lawn?

• $30

• $35

• $20

• $25

Why do the ratios 3/90 and 4/120 represent the same value?

• They have the same denominator.

• They have the same numerator.

• They are both less than 1.

• They simplify to the same unit rate.

If there are 3 red shoes for every 8 black shoes, how many black shoes are there for 9 red shoes?

• 32

• 16

• 40

• 24

Eric lays tiles at a constant rate. If he covers 150 square feet in 3 hours, how much does he cover in 1 hour?

• 50 square feet

• 40 square feet

• 30 square feet

• 60 square feet

How many ounces are in one can if there are 56 ounces in two cans?

• 14 ounces

• 28 ounces

• 56 ounces

• 112 ounces

What is the cost per pound if a 5-pound bag costs $5.15?

• $0.95

• $1.29

• $1.03

• $1.15

In a steel sample, if there are 90 parts iron to 3 parts carbon, what is the unit rate of iron to carbon?

• 30:1

• 20:1

• 40:1

• 10:1

If a graph shows the cost of headphones, which point represents $5 for 60 pairs?

• The point is below the graph.

• The point is above the graph.

• The point is not on the graph.

• The point is on the graph.

How many signs are placed along a 3/4 mile path if signs are placed every 1/8 mile?

• 7

• 5

• 6

• 8

What is the rule for dividing fractions?

• Subtract the fractions.

• Add the fractions.

• Keep, Change, Flip.

• Multiply the numerators and denominators.