math

In this lesson, we'll learn how to solve fractional equations — equations where the variable x appears in the denominator of a fraction. By the end, you'll be able to find the domain, simplify, and solve for x confidently.

To help you master this topic, this lesson includes: • 🃏 video lecture below to get a clear walkthrough of how to solve fractional equations

• 🃏 Flashcards to review key concepts • 📝 Practice quiz to test your understanding

• 📝 Two equation solving problems

Video Lecture

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Concept Check: Flash Card

Fractional Equations — Practice Quiz

Multiple Choice

Question 1 of 7

What is the excluded value for the expression ?

Solve Equations

Fractional Equations — Solve It!

Solve each fractional equation below. Show your full working — find excluded values, clear denominators, and check for extraneous solutions.

Short Answer

Question 1 of 2

Problem 1: Solve

Show all your steps and state the final answer.

Hint

  • First, find the excluded values by setting each denominator equal to zero.
  • Notice that — use this as your LCD.
  • Multiply every term by the LCD to clear all denominators.
  • Expand, simplify, and solve for . Then check your answer against the excluded values.

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