AlgebraMedium
Linear equations in two variables
Interpret and write linear equations in two variables, including from real-world contexts and graphs.
Sample SAT Problem
A store sells small boxes for $3 and large boxes for $7. If a customer spends $37 total, which combination is possible?
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Step-by-Step Solution
3s + 7l = 37. Testing l = 4: 3s = 9, s = 3. So 3 small and 4 large boxes.
Key Tips from Pamela
- Read word problems carefully to identify which quantity each variable represents.
- Use the graph to identify intercepts and slope quickly.
- Substitution or elimination both work — choose based on the form given.
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