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.

Question qty: 10
Duration in minutes: 21
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Sample questions

Solve (x + b)/(x + a) = c.
Solve x/(x + a) = b.
Solve 1/(x − (a)) = b.
What restriction on x applies to 1/(x − (a))?
What must be done after obtaining roots of a rational equation?
One worker completes a job in a h and another in b h. How many hours will they need for t such jobs together?
For (x − (r))/(x − (d)) = 0, the candidate is x = x. Is it valid?
Solve (x − (r))/(x − (d)) = 0.

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.

Test: Rational equations

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Question Nr. 10 out of 10

Sample questions

Rational equations

Solution method

Test: Rational equations

Question Nr. 1 out of 10

Question Nr. 2 out of 10

Question Nr. 3 out of 10

Question Nr. 4 out of 10

Question Nr. 5 out of 10

Question Nr. 6 out of 10

Question Nr. 7 out of 10

Question Nr. 8 out of 10

Question Nr. 9 out of 10

Question Nr. 10 out of 10

Sample questions

Rational equations

Solution method

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