Algebra – Solving Linear Equations

By HapostleTim Categories: Free
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About Course

This course provides a comprehensive foundation in solving linear equations, a fundamental skill in algebra. Students will move beyond basic one-step equations to tackle more complex problems, including those with variables on both sides, parentheses, and fractions/decimals. 

This course covers essential techniques for isolating variables using inverse operations and properties of equality, ensuring students can confidently manipulate expressions. Furthermore, it emphasizes modeling real-world scenarios through word problems and introduces the graphical representation of linear equations on the Cartesian plane.

My Approach

Learn, practice, practice and more practice. Every lesson inside this course has an explanatory video, where each lesson is fully and well explained, a short lecture that reinforces everything explained in the video, practice questions, and assignments. 

By the end of this course, students will be able to efficiently solve diverse linear equations, interpret solutions, and apply these methods to solve practical problems.

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What Will You Learn?

  • This course teaches you how to find the specific value of a variable that makes an equation true, typically involving a variable with a degree of 1.
  • You will also learn to isolate variables using inverse operations (addition/subtraction, multiplication/division) to balance equations, solving one-step, two-step, and multi-step equations.

Course Content

Fundamental Concepts
This topic covers identifying linear equations, variables, and constants.

  • The concept of linear equations 
    32:05
  • Quick Quiz
  • Practise Assignment

Solving One-Variable Equations
Utilizing addition, subtraction, multiplication, and division to isolate the unknown.

Multi-Step Equations
Distributing terms, combining like terms, and handling variables on both sides. Duration: 1-2 Hours

Equations with Special Solutions
Identifying identities (infinite solutions) and contradictions (no solutions).

Rational Coefficients
Solving linear equations containing fractions or decimals.

Literal Equations
Rearranging formulas to solve for a specific variable.

Applications
Modeling and solving real-world word problems.

Graphing Relationships
Understanding the relationship between algebraic solutions and straight-line graphs.

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