Objectives

After completing this chapter, you should

Solving equations ( [link] )

• 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 literal equation

Solving equations of the form $\mathrm{ax}=b$ And $\frac{x}{a}=b$ ( [link] )

• understand the equality property of addition and multiplication
• be able to solve equations of the form $\mathrm{ax}=b$ and $\frac{x}{a}=b$

Further techniques in equation solving ( [link] )

• be comfortable with combining techniques in equation solving
• be able to recognize identities and contradictions

Applications i - translating from verbal to mathematical expressions ( [link] )

• be able to translate from verbal to mathematical expressions

Applications ii - solving problems ( [link] )

• be able to solve various applied problems

Linear inequalities in one variable ( [link] )

• 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 ( [link] )

• 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