Chapter 7 – Basic Algebra
OBJECTIVES
- Perform basic arithmetic operations on algebraic expressions.
- Set up basic linear equations with one variable.
- Solve linear equations with one variable using various arithmetic operations.
- Create, rearrange, and use equations to solve for unknown variables.
CHAPTER OUTLINE
7.1 Algebraic Expressions
7.2 Arithmetic Operations with Algebraic Expressions
7.3 Simple Algebraic Equations and Word Problems
7 Review Exercises
7 Self-Test Exercises
7 Case Study – Lightning Wholesale
Introduction
Algebra is a branch of mathematics used to analyze and solve practical problems using letters and symbols, known as variables, to represent numbers. These variables, numbers, and operations can be combined to create algebraic expressions and equations. Algebra provides a framework from which formulas are derived to solve general problems and helps develop logical thinking and problem-solving skills systematically and analytically. Algebra is required in any occupational field, including business and sciences.
This chapter will teach us how to evaluate and perform arithmetic with algebraic expressions, form and solve algebraic equations, and rearrange equations and formulas to isolate a particular variable.
Unless otherwise indicated, this chapter is an adaptation of the eTextbook Foundations of Mathematics (3rd ed.) by Thambyrajah Kugathasan, published by Vretta-Lyryx Inc., with permission. Adaptations include supplementing existing material and reordering chapters.
