Practice Special Cases - 3 | 3. Simultaneous Equations | IB Class 10 Mathematics – Group 5, Algebra
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Identify if the following equations have no solution, infinite solutions, or a unique solution: 𝑦 = 3𝑥 + 1 and 𝑦 = 3𝑥 + 4.

💡 Hint: Check the slopes and y-intercepts.

Question 2

Easy

Do the equations 2𝑦 = 4𝑥 + 1 and 𝑦 = 2𝑥 + 0.5 have infinite solutions?

💡 Hint: Simplify the first equation to compare.

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 type of solution do parallel lines represent?

  • One solution
  • No solution
  • Infinite solutions

💡 Hint: Think about the characteristics of lines on a graph.

Question 2

Do the equations 4x - 2y = 8 and 2y = 8 - 8x indicate that there are infinite solutions?

  • True
  • False

💡 Hint: Rearrange to see if they simplify to the same format.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Graph the equations 𝑦 = 3𝑥 + 1 and 𝑦 = 3𝑥 - 5. What can you conclude about these lines?

💡 Hint: Compare the slopes and y-intercepts.

Question 2

Prove whether the following equations provide infinite solutions: 2𝑦 = 4𝑥 + 10 and 𝑦 = 2𝑥 + 5.

💡 Hint: Simplify the first equation and see if it matches the second.

Challenge and get performance evaluation