Practice Introduction - 3.1 | 3. PAIR OF LINEAR EQUATIONS IN TWO VARIABLES | CBSE 10 Mathematics
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Knowledge

3.1 - Introduction

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Form a pair of linear equations for the problem: The number of apples is 4 more than the number of oranges and together they total 20.

💡 Hint: Think about how to express 'more than' in equations.

Question 2

Easy

From the following, express into equations: A woman bought 5 books and 3 magazines for `30.

💡 Hint: Consider defining your variables as the items purchased.

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 happens when two equations have the same slopes but different intercepts?

  • True
  • False

💡 Hint: Remember the graphical interpretation of slopes.

Question 2

If a pair of equations is dependent, does it imply infinitely many solutions?

  • Yes
  • No

💡 Hint: Think about what 'dependent' means graphically.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Two companies have different ratios of output versus expenses. Company A's ratio is 5:4, and company B's ratio is 2:1. Establish equations that can help predict future output based on expenses.

💡 Hint: Focus on translating ratios into linear expressions to help visualize.

Question 2

A quadratic and linear equation cross over in three states: calculate the points of intersection and evaluate their solutions.

💡 Hint: Look for conditions that clarify the points of intersection, and focus on algebraic manipulation!

Challenge and get performance evaluation