Mathorio
Worksheet
Solving Rational Equations
Name:
Class:
Date:
Show your work for each problem.
- 1.Which of the following is a rational equation?
- a)
- b)
- c)
- d)
- 2.Solve:
- 3.What is the restricted value (value that makes a denominator zero) for ?
- a)
- b)
- c)
- d)
- 4.Solve by cross-multiplying:
- 5.Solve:
- 6.Solve:
- 7.What is the LCD (Least Common Denominator) for: ?
- a)
- b)
- c)
- d)
- 8.Solve:
- 9.What is the result when you solve ?
- a)
- b)
- c)Infinitely many solutions
- d)No solution (extraneous)
- 10.Solve:
- 11.Solve:
- 12.Solve:
- 13.Pipe A fills a tank in 6 hours. Pipe B fills it in 4 hours. How many hours to fill it together?
- 14.Two resistors of 6 ohms and 12 ohms are connected in parallel. What is the total resistance using ?
- a)3 ohms
- b)9 ohms
- c)18 ohms
- d)4 ohms
- 15.A cyclist rides 30 km at 15 km/h, then returns at 10 km/h. What is the average speed for the entire trip (in km/h)?