Systems of Equations Word Problems - Grade 8 Learning path

Systems of Equations Word Problems - Grade 8

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Systems of Equations Word Problems - Grade 8

Learn to set up and solve real-world systems of linear equations across a variety of practical contexts. This learning path covers word problems involving ticket sales, motion, mixtures, costs, geometry, and business scenarios.

Exercises in this learning path

15 exercises
  1. 1

    Form 1: Ticket Sales Systems

    Solve word problems involving ticket sales for events by setting up and solving systems of linear equations.

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  2. 2

    Form 2: Coin and Currency Problems

    Practice creating and solving systems of linear equations based on coin counts and total currency values.

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  3. 3

    Form 3: Age Relationship Problems

    Apply systems of linear equations to determine unknown ages using given age relationship word problems.

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  4. 4

    Form 4: Mixture and Solution Problems

    Set up and solve linear systems representing chemical mixtures, solution concentrations, and combined ingredients.

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  5. 5

    Form 5: Speed, Distance, and Motion Systems

    Solve motion word problems by analyzing speed, distance, and time relationships using systems of equations.

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  6. 6

    Form 6: Shopping and Item Cost Problems

    Calculate individual item prices and total purchases by formulating linear systems from shopping scenarios.

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  7. 7

    Form 7: Geometry and Perimeter Systems

    Solve geometric word problems involving perimeters, side lengths, and dimensions using systems of linear equations.

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  8. 8

    Form 8: Investment and Interest Problems

    Use systems of equations to solve real-world financial problems involving principal amounts, investments, and earned interest.

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  9. 9

    Form 9: Work Rate and Business Systems

    Formulate and solve linear systems based on business productivity, combined work rates, and task completion times.

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  10. 10

    Form 10: Break-Even and Revenue Systems

    Analyze business costs, revenues, and break-even points by building and solving systems of linear equations.

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  11. 11

    Form 11: Sports and Event Admissions

    Practice solving systems of equations derived from sports event attendance, admission pricing, and ticket totals.

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  12. 12

    Form 12: Nutrition and Calorie Systems

    Solve nutritional word problems involving calorie counts, meal combinations, and dietary requirements using linear systems.

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  13. 13

    Form 13: Rental and Subscription Costs

    Compare rental fees and subscription plans by setting up and solving systems of linear equations.

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  14. 14

    Form 14: Animal and Farm Count Problems

    Determine animal totals and leg or feature counts on a farm using linear systems of equations.

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  15. 15

    Form 15: Transportation and Travel Systems

    Apply systems of equations to solve travel scenarios involving vehicle capacities, distances, and transit times.

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