Chapter 1: Equations

The following slides have links to video lessons.

27, 40, 47, 87, 91, 103, 110, 118, 141, 172, 189, 209,

230, 235, 295, 311, 349, 365, 385, 398, 428, 448, 472,

493

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use this URL link –

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1.1 Linear Equations

• Basic Terminology of Equations

• Linear Equations

• Identities, Conditional Equations, and

Contradictions

• Solving for a Specified Variable (Literal

Equations)

Equations

An equation is a statement that two

expressions are equal.

To solve an equation means to find all numbers

that make the equation a true statement. These

numbers are the solutions, or roots, of the

equation. A number that is a solution of an

equation is said to satisfy the equation, and the

solutions of an equation make up its solution

set. Equations with the same solution set are

equivalent equations.

Linear Equation in One

Variable

A linear equation in one variable is an equation that can be written in the form

ax + b = 0,

where a and b are real numbers with

a ≠ 0.