Free Printable WorksheetMathAlgebra IIMath CurriculumALG2.138

ALG2.138 Solving Rational Equations from Context Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Algebra II Math worksheet provides structured practice on ALG2.138 Solving Rational Equations from Context. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

ALG2.138 Solving Rational Equations from Context - Practice questions for Solving Rational Equations from Context.

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Algebra II

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related ALG2.138 Solving Rational Equations from Context skill assessments:

Problem 1Difficulty: Mastery

A robot travels 18 km at an average speed of (v − 2) km per hour and then 12 km at an average speed of (v + 1) km per hour. The total travel time is 2 hours. What is v? (Answer as a decimal rounded to the nearest hundredth and choose the value that makes sense.)

Solution & Explanation:Set 18 divided by (v − 2) + 12 divided by (v + 1) = 2. Solving gives v ≈ 15.94 or v ≈ 0.06. Since v must be greater than 2, v ≈ 15.94.

Problem 2Difficulty: Mastery

In the travel-time equation 24 divided by (v − 6) + 24 divided by (v + 6) = 2, which restriction list is correct before solving?

Av cannot equal 6 and v cannot equal −6

Bv cannot equal 6

Cv cannot equal −6

Dv cannot equal 2

Solution & Explanation:The denominators are (v − 6) and (v + 6). They cannot be zero, so v ≠ 6 and v ≠ −6. That matches choice A.

Problem 3Difficulty: Mastery

A project is worked on by Developer A and Developer B. Developer A alone would take x days. Developer B alone would take 12 days. They work together for 3 days. Then A’s productivity drops to half speed (B stays the same), and they work for 4 more days until the project is finished. What is x?

Solution & Explanation:Work: 3(1 divided by x + 1 divided by 12) + 4(1 divided by (2x) + 1 divided by 12) = 1. Solve to get x = 12.

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Frequently Asked Questions

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QIs this ALG2.138 Solving Rational Equations from Context worksheet free for teachers and homeschoolers?

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Algebra II Math students. It aligns with educational standard ALG2.138 (Practice questions for Solving Rational Equations from Context.).