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Concept of Equation with One Variable

Mathematics Grade 5 Difficulty 2/5

Beginning of the lesson

Concept of Equation with One Variable

Уравнение с одной переменной

An equation is like a balance scale — both sides must be equal. Today we'll learn how to understand, solve, and check equations!

1. What is an Equation? (Что такое уравнение?)

Definition

An equation is a mathematical statement that shows two expressions are equal.

  • Contains an equals sign (=)
  • Has a left side and a right side
  • States that both sides have the same value

Example:

2x + 3 = 11

"Two times x plus three equals eleven"
Interactive visualization — available in the full lesson

An equation is like a balance — both sides must weigh the same!

2. Parts of an Equation (Части уравнения)

3x − 5 = 7 Left Side (Левая часть) Equals Sign (Знак равенства) Right Side (Правая часть)
Part Russian Example
Left Side Левая часть 3x − 5
Equals Sign Знак равенства =
Right Side Правая часть 7

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In the full lesson

  • The complete explanation
  • Worked examples
  • Common mistakes and how to avoid them
  • Test questions: 104
  • AI tutor that answers questions about the topic
  • Progress tracking for students, parents and teachers