United University

Algebra Grade 7. Systems of linear equations in two variables. Collection 1

Course Difficulty Icon Intermediate
Course Type Icon Course
Course Duration Icon 10 hrs
Language version

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   An engaging, interactive course designed for children, featuring interactive tests and exercises.

This interactive course introduces students to systems of linear equations in two variables, focusing on mastering foundational concepts, logical reasoning, and problem-solving through practical exercises. Students will explore key topics such as equations with two variables, graph interpretation, and multiple methods for solving linear equation systems. The course emphasizes independent work, critical thinking, and applying mathematics to real-world situations through engaging and structured lessons.

Key Concepts Covered in the Course

  • Equations with Two Variables: Basic properties and graphical representation
  • Linear Equations: Graphs and interpretation
  • Systems of Linear Equations: Solving using graphical, substitution, and addition methods
  • Word Problems: Applying systems of equations as mathematical models

Course Modules

Module 1: Systems of Linear Equations in Two Variables

  • Lesson 25: Introduction to Equations with Two Variables
    Basic Concepts and Graphing
    Solve the problems and do the exercises.
  • Lesson 26: Graphical Representation of Linear Equations
    Plotting and Analyzing Graphs
    Solve the problems and do the exercises.
  • Lesson 27: Introduction to Systems of Linear Equations
    Definition and Basic Properties
    Solve the problems and do the exercises.
  • Lesson 28: Solving systems of two linear equations with two unknowns by the substitution method
    Solve the problems and do the exercises.
  • Lesson 29: Solving systems of two linear equations with two variables by the addition method
    Solve the problems and do the exercises.
  • Lesson 30: Solving problems using systems of linear equations
    Solve the problems and do the exercises.
  • Independent Homework 6: Practice Problems and Self-Guided Exercises
  • Review Exercises for Module 4: Comprehensive Problem Set
  • Knowledge Check: Final Assessment on Systems of Equations
  • Advanced Problems: Challenging Applications and Problem-Solving

Expected Learning Outcomes

By the end of this course, students will:

  • Identify equations with two variables and distinguish them from other equations
  • Define key concepts such as linear equations, solutions, and systems of equations
  • Explain methods for solving equations and interpreting graphs
  • Graph linear equations and systems effectively
  • Describe and analyze cases with one solution, no solution, or infinitely many solutions
  • Apply mathematical models to solve real-world problems
  • Solve systems of linear equations using multiple methods
  • Develop mathematical models based on word problems

This interactive course fosters curiosity and active participation, helping students build confidence and competence in algebra. With engaging lessons and practical exercises, learners will be equipped for success in mathematics and beyond.

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