Applying Equations to Real World Problems

I can model real-world problems using appropriate equations and interpret the solutions in context.

5:26

We don't generate video — this one is by Khan Academy on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.

1. 1

   Ian can rake a lawn in 5 hours, meaning his rate is 1/5 of a lawn per hour, while Kyandre's rate is 1/3 of a lawn per hour.

2. 2

   To find the combined rate of work, you add the individual rates of Ian and Kyandre, setting it equal to 1/t, where 't' represents the total time working together.

3. 3

   By solving the rational equation, it is determined that working together, Ian and Kyandre would take 15/8 hours, which is equivalent to 1 hour and 52.5 minutes.

“A large printing press can print a batch of newspapers in 2 hours. A smaller press can print the same batch in 3 hours. If both presses work together, how long will it take them to print the batch of newspapers? Model this real-world problem using an appropriate equation, show all steps to solve the equation, and interpret your solution in the context of the problem.”

Sample answer included in the free materials