3.1 - Introduction
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Practice Questions
Test your understanding with targeted questions
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.
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.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What happens when two equations have the same slopes but different intercepts?
💡 Hint: Remember the graphical interpretation of slopes.
If a pair of equations is dependent, does it imply infinitely many solutions?
💡 Hint: Think about what 'dependent' means graphically.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
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.
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!
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Reference links
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