Solving Rational Equations & Word Problems

Front

What is a rational equation?

Back

A rational equation is an equation that involves at least one rational expression, which is a fraction where the numerator and/or denominator are polynomials.

Front

How do you find the least common multiple (LCM) of two polynomials?

Back

To find the LCM of two polynomials, factor each polynomial into its prime factors, then take the highest power of each factor that appears in either polynomial.

Front

What is the formula for work done when two people work together?

Back

Front

If Jayson can build a shed in 8 hours, how much of the shed can he build in one hour?

Back

Front

What is the relationship between work rate and time taken to complete a job?

Back

The work rate is inversely proportional to the time taken; as the time taken decreases, the work rate increases.

Front

How do you set up an equation for a work problem involving two workers?

Back

Front

What is the combined work rate of Peter and John if Peter can mow the lawn in 40 minutes and John in 60 minutes?

Back

Front

How do you calculate the time taken to complete a job when one worker starts alone and another joins later?

Back

Calculate the work done by the first worker alone, then set up an equation for the remaining work done by both workers together.

Front

What is the formula for the time taken to complete a job when two crews work together?

Back

Front

If one crew can sow a field in 6 days and another in 3 days, how do you find the time taken when they work together after one works alone for 2 days?

Back

Calculate the work done by the slower crew in 2 days, then find the remaining work and use the combined work rate of both crews to find the total time.