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Solving Systems of Equations with Cramer’s Rule and Real-World Applications

This practice quiz focuses on using Cramer’s Rule to solve systems of equations, including word problems that illustrate real-life scenarios. Learners will set up the numerator and denominator determinants to find algebraic representations, apply their calculator's RREF feature, and work through relevant problems involving transportation and rates. For instance, students will solve how many buses and vans are required for a school trip with 452 people, as well as determine two numbers with a given product and sum, and find the current's speed during a boat trip.

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Solving Systems of Equations with Cramer’s Rule and Real-World Applications

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  1. Adv Trigyear 3practice quiz VERSION 2 Cramer’s rule, solving systems using rref, word problems

  2. Using Cramer’s RuleSet up the y numerator and denominatordeterminant for

  3. Find the algebraic representation for determinant A below

  4. Solve the system using your calculator’s rref feature.

  5. Vans and Buses A school takes 11 vehicles on a trip, some are buses and some are vans. Twelve people fit in a van and fifty two people fit in a bus. They fill a bus before they fill the vans. If 452 people go on the trip how many vans and buses do they take?

  6. Find the numbers The product of two numbers is 255. The sumof the two numbers is 32. Find the two numbers.

  7. Boat and Current A round trip down the river and back is 80 miles. It takes 3 hours to go downstream and 5 hours to come back. What is the speed of the current in the river?

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