https://file.aiquickdraw.com/mathbot/file/1727224092851t3msbl3w.jpg

The worksheet focuses on solving rational equations and checking for excluded values. Here are the problems visible from the image:

1. \(\frac{2a - 3}{6} = \frac{2a}{3} + \frac{1}{2}\)
2. \(\frac{2b - 3}{7} - \frac{b}{2} = \frac{b + 3}{14}\)
6. \(\frac{4x}{3x - 2} + \frac{2x}{3x + 2} = 2\)
7. \(\frac{5}{5 - p} - \frac{p^2}{5 - p} = -2\)

Would you like me to solve these equations one by one? Let me know if you'd like detailed steps for each or have specific questions! 

### Relative Questions:
1. What are excluded values in rational equations and why are they important?
2. How do you solve rational equations with multiple fractions?
3. What is the process of clearing denominators in rational equations?
4. How do you check for extraneous solutions in rational equations?
5. Can rational equations have more than one solution?

### Tip:
Always remember to check for values that make the denominator zero when solving rational equations—these are excluded from the solution set!

Solve the following rational equations:
1. (2a - 3)/6 = 2a/3 + 1/2
2. (2b - 3)/7 - b/2 = (b + 3)/14
6. (4x)/(3x - 2) + (2x)/(3x + 2) = 2
7. 5/(5 - p) - (p^2)/(5 - p) = -2

Solve rational equations involving variables in the denominator. Problems cover key algebraic concepts, such as clearing denominators, finding excluded values, and checking for extraneous solutions. Suitable for Grades 8-10 students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation