Rational Equations Practice Problems
These problems follow the rational equations lesson. Use them as a solving rational equations worksheet: note the restrictions first, then clear the fractions.
The steps
- List the values that make a denominator zero.
- Multiply every term by the LCD.
- Solve the equation that remains.
- Reject any answer from step 1.
Common mistakes to watch for
- Skipping the excluded values. Find values that make any denominator zero before solving.
- Not checking solutions. Reject any answer that makes a denominator zero; it is extraneous.
- Multiplying only some terms. Multiply every term on both sides by the LCD.
- Cancelling across addition. Only factors cancel;
does not simplify to 2.