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Equality and equation basics

Recognize equality-preserving transformations and check solutions in the original equation.

Meaning

An equality states that two expressions have the same value. An equation with variables sets a condition whose satisfying values are sought. Solutions make it true; an identity holds for every value in a specified domain.

Example

Practice for this concept

Scope and references

Topics

Meaning of equality, properties of equations, equations versus identities, solutions and checking

Learning goal

Recognize equality-preserving transformations and check solutions in the original equation.

Helpful background

Read an equals sign as equality of two values and check with simple operations.

Equations and equality

These ordinary choice questions provide limited practice in this concept. They do not establish independent solution, full-concept performance, or mastery.