5.1: Objectives
After completing this chapter, you should
Solving Equations
- be able to identify various types of equations
- understand the meaning of solutions and equivalent equations
- be able to solve equations of the form \(x+a=b\) and \(x−a=b\).
- be familiar with and able to solve linear equation
Solving Equations of the Form \(ax=b\) and \(\dfrac{x}{a}=b\)
- understand the equality property of addition and multiplication
- be able to solve equations of the form \(ax=b\) and \(\dfrac{x}{a}=b\)
Further Techniques in Equation Solving
- be comfortable with combining techniques in equation solving
- be able to recognize identities and contradictions
Applications I - Translating from Verbal to Mathematical Expressions
- be able to translate from verbal to mathematical expressions
Applications II - Solving Problems
- be able to solve various applied problems
Linear Inequalities in One Variable
- understand the meaning of inequalities
- be able to recognize linear inequalities
- know, and be able to work with, the algebra of linear inequalities and with compound inequalities
Linear Inequalities in Two Variables
- be able to identify the solution of a linear equation in two variables
- know that solutions to linear equations in two variables can be written as ordered pairs