Linear Equations — الرياضيات الصف الأول الإعدادي لغات

درس «Linear Equations» فى مادة الرياضيات لـالصف الأول الإعدادي لغات من وحدة «Algebra». This lesson focuses on linear equations in one variable, which are equations where the variable is raised to the power of 1. It introduces the concepts of forming equations from word problems and solving them using the substitution method and properties of equality (addition, subtraction, multiplication, and division). The lesson explains the difference between the substitution set (all possible values) and the solution set (values that satisfy the equation). It covers solving equations within different number sets (N, Z, Q), including cases where the solution may not exist in a given set. هتتعلم فى...

الدرس ده من وحدة «Algebra» فى مادة الرياضيات لـالصف الأول الإعدادي لغات على منصة دروسات.

الدرس متاح بالاشتراك: ترم كامل أو المادة لوحدها.

ملخص الدرس

This lesson focuses on linear equations in one variable, which are equations where the variable is raised to the power of 1. It introduces the concepts of forming equations from word problems and solving them using the substitution method and properties of equality (addition, subtraction, multiplication, and division). The lesson explains the difference between the substitution set (all possible values) and the solution set (values that satisfy the equation). It covers solving equations within different number sets (N, Z, Q), including cases where the solution may not exist in a given set.

هتتعلم إيه فى الدرس ده

• A linear equation in one variable is an equation that can be written in the form ax + b = c, where a, b, and c are constants and x is the variable.
• The substitution set is the set of all values considered for the variable, while the solution set is the subset of values that actually satisfy the equation.
• The properties of equality allow you to add, subtract, multiply, or divide both sides of an equation by the same number to find an equivalent equation with the variable isolated.
• Solutions to linear equations must be checked against the defined substitution set (e.g., Natural numbers N, Integers Z, or Rational numbers Q).