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Key Concepts

Linear Equations

A linear equation is an equation in which the variable is raised to the first power. It describes a straight-line relationship and is typically solved by isolating the variable on one side of the equation.

Isolating the Variable

Isolating the variable involves performing algebraic operations to get the variable alone on one side of the equation. This often means undoing any operations surrounding the variable, such as division or multiplication, by performing the inverse operation.

Multiplicative Inverse

The multiplicative inverse is the number which, when multiplied by a given number, yields one. It is used to eliminate coefficients attached to the variable by multiplying both sides of the equation by the reciprocal of the coefficient.

Properties of Equality

The properties of equality state that the same operation performed on both sides of an equation does not change the equality. This concept is fundamental when rearranging an equation to isolate the variable.

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