Assessment and Learning in Knowledge Spaces (ALEKS) Basic Math Placement Practice Test

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Get ready for the ALEKS Basic Math Placement Test. Study with interactive quizzes and detailed explanations. Prepare to excel!

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How do you find the domain of a fraction in an equation?

  1. Set the numerator to zero and solve

  2. Set the denominator to zero and solve

  3. Plug in any value for x

  4. Identify the highest power of x

The correct answer is: Set the denominator to zero and solve

To find the domain of a fraction in an equation, it is essential to consider the denominator. The domain represents all the possible values that can be input into the equation without causing any mathematical inconsistencies. In the case of a fraction, the denominator cannot be zero since division by zero is undefined in mathematics. Therefore, to determine the valid inputs for the variable (in this case, x), one must set the denominator equal to zero and solve the resulting equation. This will identify any values that x cannot take, which are excluded from the domain. By finding these values, you can then express the domain as all real numbers except for the ones that make the denominator zero. This systematic approach ensures that all valid x-values are considered, maintaining the integrity of the mathematical expression.