Practice Methods to Solve Systems of Equations - 3.1 | 1. Linear Equations | IB Class 10 Mathematics – Group 5, Algebra
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3.1 - Methods to Solve Systems of Equations

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Solve the system using the graphical method: y = 2x + 1 and y = -x + 4.

💡 Hint: Graph both lines and identify the intersection point.

Question 2

Easy

Using the substitution method, solve the system: x + y = 5 and y = 2.

💡 Hint: Substitute the value of y from the second equation into the first.

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 graphical method primarily used for?

  • To plot equations
  • To find variables
  • To add equations

💡 Hint: Think about how visual representation helps in finding solutions.

Question 2

True or False: The substitution method can only be used for two equations with two variables.

  • True
  • False

💡 Hint: Consider whether substitution could work in systems beyond two variables.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given the system 2x + 4y = 10 and 3x - 4y = -2, solve using both substitution and elimination methods. Which method do you find more efficient, and why?

💡 Hint: Try simplifying one of the variables in the first step for both methods.

Question 2

For the system 5x + 2y = 20 and x - 3y = 6, derive the solution using either method of your choice and explain your reasoning.

💡 Hint: Choose the method that seems most straightforward based on the equations presented.

Challenge and get performance evaluation