United University

Algebra Grade 11. Equations, inequalities and their systems. Summary of material. Collection 1

Course Difficulty Icon Intermediate
Course Type Icon Course
Course Duration Icon 30 hours

Deepen your understanding of equations, inequalities, and their systems with our interactive course featuring automatic grading! "Algebra Grade 11. Equations, inequalities and their systems. Summary of material. Collection 1" provides students with practical exercises, homework, and knowledge checks that reinforce learning. Students develop logical thinking, problem-solving skills, and the ability to apply methods for solving equations, inequalities, and systems, all while receiving instant feedback through interactive tests.

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Deepen your understanding of equations, inequalities, and their systems! Our "Algebra Grade 11. Equations, inequalities and their systems. Summary of material. Collection 1" course provides students with comprehensive knowledge of solving equations and inequalities, applying function properties, and working with systems of equations. The course develops logical thinking, problem-solving skills, and prepares students for advanced studies and exams.

Why choose our course:

  • Interactive tests and exercises: Reinforce understanding with homework assignments, review tasks, and self-check exercises with automatic grading.
  • Expertly structured content: Aligned with the State Standard of Basic Secondary Education and model educational programs for Grade 11.
  • Focus on logical thinking and analysis: Develop the ability to solve equations, inequalities, and systems, analyze problem conditions, and apply mathematical methods in practice.

Course Modules

Module 4: Equations, inequalities, and their systems. Summary and systematization of material

  • §22. Methods for solving equations with one variable
  • §22. Methods for solving equations with one variable (Part 1)
  • §22. Methods for solving equations with one variable (Part 2)
  • §22. Methods for solving equations with one variable (Part 3)
  • Knowledge check for §22
  • §23. Methods for solving inequalities with one variable
  • §23. Methods for solving inequalities with one variable (Part 1)
  • §23. Methods for solving inequalities with one variable (Part 2)
  • §23. Methods for solving inequalities with one variable (Part 3)
  • Knowledge check for §23
  • Homework assignment №8
  • Knowledge check tasks for §§22–23
  • §24. Systems of equations and methods for solving them
  • §24. Systems of equations and methods for solving them (Part 1)
  • §24. Systems of equations and methods for solving them (Part 2)
  • §24. Systems of equations and methods for solving them (Part 3)
  • Knowledge check for §24
  • §25. Problems with parameters
  • §25. Problems with parameters (Part 1)
  • §25. Problems with parameters (Part 2)
  • §25. Problems with parameters (Part 3)
  • Knowledge check for §25
  • Homework assignment №9
  • Knowledge check tasks for §§24–25
  • Revision exercises for Module 4 (for §22)
  • Revision exercises for Module 4 (for §23)
  • Revision exercises for Module 4 (for §24)
  • Revision exercises for Module 4 (for §25)

Expected Learning Outcomes

  • Distinguishes types of equations, inequalities, and their systems, and the methods for solving them.
  • Justifies the equivalence of performed transformations.
  • Applies general methods and techniques to solve equations, inequalities, and their systems.
  • Solves equations, inequalities, and systems with parameters.
  • Analyzes problem conditions based on real-life descriptions.
  • Solves problems modeled by known equations or systems of equations.

By the end of this course, students will have a strong foundation in equations, inequalities, and systems, be able to apply logical methods and transformations, and solve complex mathematical problems, preparing them for exams and practical applications.

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