Solving Simple Rational Equations

The video tutorial teaches how to solve uniform motion problems using rational equations. It begins with an introduction to the distance formula and its manipulation to solve for different variables. The tutorial then explains solving rational equations by using the least common denominator. An example problem involving Kori's journey is presented, where she travels using a skateboard and a bicycle. The problem is modeled using a rational equation, which is then solved to find Kori's average speed on the bicycle. The tutorial concludes with a solution interpretation.

What is the formula for calculating distance?

• d = r/t

• d = r + t

• d = r - t

• d = rt

When solving rational equations, why is it important to distribute terms correctly?

• To ensure the equation remains balanced

• To make the equation more complex

• To eliminate all variables

• To simplify the equation to a single term

In Kori's journey, what variable is used to represent the speed of the skateboard?

• w

• x

• z

• y

How much faster did Kori travel on the bicycle compared to the skateboard?

• The same speed

• Half as fast

• Twice as fast

• Three times faster

What is the equation used to find the difference in travel time between the skateboard and the bicycle?

• 24/x + 24/2x = 2

• 24/x - 24/2x = 2

• 24x - 24/2x = 2

• 24/x * 24/2x = 2

What was Kori's average speed on the skateboard?

• 12 miles per hour

• 6 miles per hour

• 10 miles per hour

• 8 miles per hour

What was Kori's average speed on the bicycle?

• 8 miles per hour

• 10 miles per hour

• 6 miles per hour

• 12 miles per hour