Practice Summary - 6 | 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

Solve using substitution: 𝑥 + 𝑦 = 7, 2𝑥 − 𝑦 = 4.

💡 Hint: Rearrange the first equation for y, then substitute.

Question 2

Easy

Using elimination, solve: 3𝑥 + 2𝑦 = 16, 𝑥 + 𝑦 = 5.

💡 Hint: Multiply the second equation by 2 to match coefficients.

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 a simultaneous equation?

💡 Hint: Think of how these equations interact.

Question 2

If lines intersect at one point, what type of solution does it represent?

  • One solution
  • No solution
  • Infinite solutions

💡 Hint: Visualize the graph!

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

You have a basket of fruits with apples and oranges totaling $30. If each apple costs $3 and each orange costs $2, and the total number of fruits is 15, how many of each fruit do you have?

💡 Hint: Formulate a system of equations based on the information given.

Question 2

A school has a total of 300 students. The number of boys is twice the number of girls. What’s the number of boys and girls?

💡 Hint: Set equations based on the relationships defined.

Challenge and get performance evaluation