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  • Adding 4u−13u−1+u1−3u\frac{4u-1}{3u-1} + \frac{u}{1-3u}3u−14u−1​+1−3uu​

Matching

Match each expression with its description when adding 4u−13u−1+u1−3u\frac{4u - 1}{3u - 1} + \frac{u}{1 - 3u}3u−14u−1​+1−3uu​.

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Updated 2026-09-17

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OpenStax

Elementary Algebra @ OpenStax

Ch.8 Rational Expressions and Equations - Elementary Algebra @ OpenStax

Algebra

Math

Prealgebra

Comprehension in Revised Bloom's Taxonomy

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  • Match each expression with its description when adding 4u−13u−1+u1−3u\frac{4u - 1}{3u - 1} + \frac{u}{1 - 3u}3u−14u−1​+1−3uu​.

  • Add the rational expressions and simplify: 4u−13u−1+u1−3u=\frac{4u-1}{3u-1} + \frac{u}{1-3u} =3u−14u−1​+1−3uu​= _____

  • Order the steps to add: 4u−13u−1+u1−3u\frac{4u - 1}{3u - 1} + \frac{u}{1 - 3u}3u−14u−1​+1−3uu​

  • What is the numerator of 4u−13u−1+u1−3u\frac{4u - 1}{3u - 1} + \frac{u}{1 - 3u}3u−14u−1​+1−3uu​ when written over the common denominator 3u−13u - 13u−1?

  • Multiplying the numerator and denominator of u1−3u\frac{u}{1-3u}1−3uu​ by −1-1−1 creates a common denominator with 4u−13u−1\frac{4u-1}{3u-1}3u−14u−1​.

  • Rewrite u1−3u\frac{u}{1-3u}1−3uu​ with denominator 3u−13u-13u−1. What is the new numerator?

  • What number makes 1−3u1-3u1−3u equal to 3u−13u-13u−1 when used as a multiplier?

  • How are the expressions 3u−13u-13u−1 and 1−3u1-3u1−3u related?

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