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NY Regents Algebra I Rational Expressions and Equations — practice questions

Explore 23 free Rational Expressions and Equations questions in NY Regents Algebra I Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Rational Expressions and Equations questions and exercises with answers

Showing questions 1–23 of 23.

Division by which number is described as undefined?Read the answer and worked solution →A rational expression is considered simplified if there are no common factors in its numerator and:Read the answer and worked solution →Two thirds is described as already simplified because 2 and 3 have no common:Read the answer and worked solution →Another way of writing the division of two fractions is called a:Read the answer and worked solution →Adding or subtracting rational expressions with unlike denominators requires getting:Read the answer and worked solution →Equations containing rational expressions are used to model:Read the answer and worked solution →It is easy to avoid dividing by zero with a numerical fraction because you can:Read the answer and worked solution →A rational expression needs values excluded because a variable denominator could equal:Read the answer and worked solution →The least common denominator is needed when rational expressions have denominators that are:Read the answer and worked solution →A complex fraction is simplified by carrying out which operation?Read the answer and worked solution →The simplification test for a rational expression is the same test used for:Read the answer and worked solution →A rational expression is described as an expression of which form?Read the answer and worked solution →Before a rational expression can be evaluated, which values must be identified?Read the answer and worked solution →The expression with denominator x minus 3 is undefined when x equals:Read the answer and worked solution →A rational expression with a common factor in numerator and denominator is best described as:Read the answer and worked solution →Two rational expressions with denominators x and x plus 1 must first be given:Read the answer and worked solution →A fraction whose numerator is itself a fraction is handled as a:Read the answer and worked solution →Variables make excluded values harder to spot than in numerical fractions because you cannot simply:Read the answer and worked solution →Pull the rope to defined or undefinedRead the answer and worked solution →Sort the rational expression stepsRead the answer and worked solution →Stack the rational rulesRead the answer and worked solution →Match each rational termRead the answer and worked solution →Complete the rational rulesRead the answer and worked solution →

Worked practice questions

Division by which number is described as undefined?

  1. The number zero
  2. The number one
  3. The number ten
  4. Any prime one
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Correct answer: A. The number zero

1. One value can never sit in a denominator. 2. A rational expression is written as one expression over another. 3. Remember, division by 0 is undefined. 4. That is why some values must be excluded. _Source: OpenStax Elementary Algebra 2e (CC BY 4.0), Ch 8 'Rational Expressions and Equations', sections 8.1-8.9_

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A rational expression is considered simplified if there are no common factors in its numerator and:

  1. Variable
  2. Denominator
  3. Exponent
  4. Coefficient
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Correct answer: B. Denominator

1. Simplifying a rational expression mirrors simplifying a fraction. 2. A rational expression is one expression divided by another. 3. It is considered simplified if there are no common factors. 4. That applies to factors in its numerator and denominator. _Source: OpenStax Elementary Algebra 2e (CC BY 4.0), Ch 8 'Rational Expressions and Equations', sections 8.1-8.9_

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Two thirds is described as already simplified because 2 and 3 have no common:

  1. Common factors
  2. Common digits
  3. Common signs
  4. Any decimals
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Correct answer: A. Common factors

1. The numerical case illustrates the algebraic rule. 2. A rational expression is simplified if there are no common factors. 3. Two thirds is simplified because there are no common factors of 2 and 3. 4. The same test applies to expressions with variables. _Source: OpenStax Elementary Algebra 2e (CC BY 4.0), Ch 8 'Rational Expressions and Equations', sections 8.1-8.9_

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More Mathematics topics

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