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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 infinite solutions: y = 3x + 5 and 2y = 6x + 10.
💡 Hint: Try simplifying both equations.
Question 2
Easy
What does it mean for two equations to be dependent?
💡 Hint: Think about the relationship between their slopes.
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 you have two equations that represent the same line?
- One solution
- No solutions
- Infinite solutions
💡 Hint: Think about how the lines graph together.
Question 2
True or false: Two equations can have no solutions if they are parallel.
- True
- False
💡 Hint: Visualize what parallel lines look like on a graph.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Demonstrate how two equations can be manipulated to show they have infinite solutions. Give your equations and the steps of simplification.
💡 Hint: Look to simplify by factoring or rearranging.
Question 2
How can you represent two people earning the same amount but spending differently in equations, and how do their financial decisions lead to determining infinite solutions?
💡 Hint: Analyze how budgets can reflect different needs yet yield the same mathematical outcome.
Challenge and get performance evaluation