Solve equations with two rational expressions

The  exercise appears under the Algebra II Math Mission. This exercise practices solve advanced rational equations with multiple expressions.

Types of Problems
There is one type of problem in this exercise:


 * 1) Fill in the blanks with the solution(s) of the equation: This problem has an equation with two rational expressions. Students are expected to solve for the equation and type the solution(s) in the space provided. Solve equations with two rational expressions.PNG

Strategies
Basic knowledge of solving rational equations are needed to do this exercise accurately and correctly.
 * 1) First, students should check to see if the denominators can be factored further. This will allow them to find the LCM (least common multiple) as well as the excluded values.
 * 2) If there are two such solutions, users need to enter them in ascending order.
 * 3) If there is only one such solution, users need to leave the second blank empty.
 * 4) If there are zero such solutions, users need to leave both blanks empty.

Real-life Applications

 * 1) Rational expressions and equations appear often in work rate word problems.
 * 2) Rational expressions and equations also can occur in distance=rate*time ($$d=r\times t$$) problems.