Practice Algebraic Equations Involving Fractions and Radicals - 2.3.6 | Chapter 2: Algebra (ICSE Class 12) | ICSE Class 12 Mathematics
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

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

πŸ’‘ Hint: Multiply both sides by 3.

Question 2

Easy

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

πŸ’‘ Hint: Square both sides.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

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

πŸ’‘ 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

πŸ’‘ Hint: Remember to check your results.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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

πŸ’‘ Hint: Start by clearing the fraction.

Question 2

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

πŸ’‘ Hint: Clear fractions before squaring.

Challenge and get performance evaluation