Practice Algebraic Equations Involving Fractions and Radicals - 2.3.6 | 2. Algebra | ICSE 12 Mathematics
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Algebraic Equations Involving Fractions and Radicals

2.3.6 - Algebraic Equations Involving Fractions and Radicals

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Solve \(\frac{1}{3}x + 2 = 5\).

💡 Hint: Multiply both sides by 3.

Question 2 Easy

Solve \(\sqrt{x} = 5\).

💡 Hint: Square both sides.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the first step to solve \(\frac{2}{x} + 1 = 3\)?

Get rid of fractions
Add 1 to both sides
Multiply both sides by x

💡 Hint: Think about how to eliminate the fraction.

Question 2

True or False: Squaring both sides of an equation can introduce extraneous solutions.

True
False

💡 Hint: Remember to check your results.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Solve the equation \(\frac{2\sqrt{x+5}}{3} = 1\).

💡 Hint: Start by clearing the fraction.

Challenge 2 Hard

Solve \(\sqrt{x-1} + 2 = \frac{3}{x}\).

💡 Hint: Clear fractions before squaring.

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