Writing Equations from Word Problems

The video tutorial explains how to translate real-world situations into mathematical equations. It covers key terms for operations like addition, subtraction, multiplication, and division. The tutorial includes examples such as calculating costs, diving times, race distances, and altitudes. It also demonstrates how to interpret solutions and translate verbal descriptions into equations.

Which of the following words is commonly used to indicate addition in a real-world problem?

• Decreased by

• Product

• Quotient

• More than

If a bike rental costs $12 plus $3 per hour, and the total cost is $30, how many hours was the bike rented?

• 7 hours

• 5 hours

• 4 hours

• 6 hours

In the context of the scuba diving example, what does 'below sea level' indicate?

• Undefined value

• Positive value

• Zero value

• Negative value

Paul is scuba diving and descends at a rate of 0.5 feet per minute. If he is now at 12 feet below sea level, how many minutes has he been diving?

• 15 minutes

• 19 minutes

• 17 minutes

• 21 minutes

Hudson runs at 8.8 feet per second, and Knox runs at 6.3 feet per second with a 30-foot head start. How many seconds will it take for them to run the same distance?

• 12 seconds

• 10 seconds

• 14 seconds

• 16 seconds

In the race example, what is the distance both Hudson and Knox will have run when they meet?

• 100.6 feet

• 105.6 feet

• 110.6 feet

• 115.6 feet

Graham starts at an altitude of 14,040 feet and descends at 50 feet per minute. Max starts at 12,500 feet and ascends at 20 feet per minute. How many minutes will it take for them to be at the same altitude?

• 24 minutes

• 22 minutes

• 20 minutes

• 26 minutes

At what altitude will Graham and Max meet after 22 minutes?

• 12,990 feet

• 12,940 feet

• 12,890 feet

• 12,840 feet

Translate the phrase 'two more than a certain number' into an algebraic expression.

• 2x

• x / 2

• x + 2

• x - 2

What is the solution to the equation 2 + x = 3x - 15?

• 7.5

• 8.5

• 10.5

• 9.5