Home > PC3 > Chapter 5 > Lesson 5.2.5 > Problem5-127

5-127.

This problem is a checkpoint for operations with rational expressions and complex fractions. Simplify each of the following expressions. Be sure to state any necessary restrictions of the variable(s).

1. $\frac { x ^ { 2 } - 1 } { x ^ { 2 } - 6 x - 7 } \div \frac { x ^ { 3 } + x ^ { 2 } - 2 x } { x - 7 }$

1. $\frac { 7 x - 1 } { x ^ { 2 } - 2 x - 3 } - \frac { 6 x + 1 } { x ^ { 2 } - x - 2 }$

1. $\frac { \frac { 1 } { a } + \frac { 2 } { b } } { \frac { 2 } { a } + \frac { 1 } { b } }$

Ideally at this point you are comfortable working with these types of problems and can complete them correctly. If you feel that you need more confidence when completing these types of problems, then review the Rational Expressions and Complex Fractions Checkpoint materials available at cpm.org and try the practice problems provided. From this point on, you will be expected to do problems like these correctly and with confidence.

Answers and extra practice for the Checkpoint problems are located in the Reference Tab of your eBook.
Click the following link: Rational Expressions and Complex Fractions