Mastering Adding and Subtracting Rational Expressions

The video tutorial covers the concept of proportions and their application in solving word problems. It emphasizes the importance of consistency in setting up proportions, ensuring units match on both sides of the equation. The tutorial provides various examples, from simple to complex, demonstrating how to solve word problems using proportions. It concludes with a summary of key points and examples.

Why is it important to stay consistent when setting up proportions?

• To make the problem more complex

• To confuse the solver

• To ensure the units match on each side of the equal sign

• To make the problem easier

Pete drove 224 miles in 4 hours. How long would it take him to drive 490 miles at the same rate?

• 6 hours

• 8.75 hours

• 10 hours

• 12 hours

If 4 out of 5 students have cellphones, how many students out of 365 would you expect to have cellphones?

• 250

• 300

• 292

• 365

A 100-ounce jug of detergent can wash 64 loads. How many loads can a 150-ounce jug wash?

• 120 loads

• 96 loads

• 100 loads

• 80 loads

How many cups of milk are needed to make 20 pancakes if 1.25 cups are needed for 8 pancakes?

• 5 cups

• 3.125 cups

• 2.5 cups

• 4 cups

Melanie can run 9 laps in 28 minutes. How many laps can she run in 75 minutes?

• 20 laps

• 24.1 laps

• 30 laps

• 28 laps

If a train makes 12 out of 30 free throw shots, how many shots would it make out of 75 attempts?

• 25 shots

• 30 shots

• 35 shots

• 40 shots

Jack bought 3 binders for $13.75. How much would he spend in total if he buys 5 more binders?

• $35.12

• $25.00

• $21.95

• $30.00

How much would it cost for 40 children and 5 adults to attend a museum if child tickets are $135.25 for 15 children and adult tickets are $12.95 each?

• $475.00

• $450.00

• $425.42

• $400.00

If 7 candy bars cost $6.23, how much would 5 candy bars and 4 sodas (3 sodas cost $4.47) cost in total?

• $12.00

• $15.00

• $10.41

• $8.00