Test
Rational equations
This test focuses on solving rational equations and determining permitted variable values. Students clear denominators, check possible solutions and apply rational equations to word problems and practical situations.
Time left: 00:00:00
Sample questions
- Solve (x − (___))/(x − (___)) = 0.
- Solve 1/(x − (___)) = ___.
- Solve x/(x + ___) = ___.
- Solve (x + ___)/(x + ___) = ___.
- What restriction on x applies to 1/(x − (___))?
Rational equations
In a rational equation, the unknown occurs in a denominator. Before solving, identify all excluded values that make any original denominator zero.
Solution method
Find a common denominator and multiply both sides by it to obtain a simpler equation. Solve that equation and check every candidate in the original. Multiplication by an expression may introduce extraneous solutions, so the original domain restrictions must remain in force.
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