Practice Graphical Method (2.3) - Simultaneous Equations - IB 10 Mathematics – Group 5, Algebra
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Graphical Method

Practice - Graphical Method

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Graph the equations y = x + 2 and y = -x + 4. What is the point of intersection?

💡 Hint: Plot each equation and look for where they cross.

Question 2 Easy

Identify the type of solution for the equations y = 3x + 1 and y = 3x - 2.

💡 Hint: Compare the slopes of the equations.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What represents the solution to two intersecting lines on a graph?

A point
A line
No point

💡 Hint: Think about where the two lines cross.

Question 2

If two equations are parallel, do they have any solutions?

True
False

💡 Hint: Consider their slopes—if they are equal and y-intercepts differ, they are parallel.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Graph the equations y = 4x - 2 and y = -2x + 6. Determine if there exists one, none, or infinite solutions.

💡 Hint: Look where the two lines cross.

Challenge 2 Hard

Consider the equations y = 0.5x + 3 and y = 0.5x - 1. What can you conclude about the solutions?

💡 Hint: Calculate their slopes to confirm.

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