Equations and Inequalities
The Addition Principle
After studying this section, you will be able to:1. Solve equations of the form x + b = c using the addition principle.Using the Addition PrincipleWhen we use the equals sign (=), we indicate that two expressions are equal in value. This is called an eq...
The Multiplication Principle
After studying this section, you will be able to:1. Solve equations of the form 1/ax=b.2. Solve equations of the form ax = b.Solving Equations of the Form 1/ax=bThe addition principle allows us to add the same number to both sides of an equation. Wha...
Use the Addition and Multiplication Principles Together
After studying this section, you will be able to:1. Solve equations of the form ax + b =c.2. Solve equations in which the variable appears on both sides of the equation.3. Solve equations with parentheses.Solving Equations of the Form ax +b=cTo solve ...
Equations with Fractions
After studying this section, you will be able to:1. Solve equations with fractions.Solving Equations with FractionsEquations with fractions can be rather difficult to solve. This difficulty is simply due to the extra care we usually have to use when ...
Formulas
After studying this section, you will be able to:1. Solve formulas for a specified variable.Solving for a Specified Variable in a FormulaFormulas are equations with one or more variables that are used to describe real world situations. The formula descr...
Write and Graph Inequalities
After studying this section, you will be able to:1. Interpret an inequality statement.2. Graph an inequality on a number line.Inequality StatementsWe frequently speak of one value being greater than or less than another value. We say that ‘‘5 is less tha...
Solve Inequalities
After studying this section, you will be able to:1. Solve an inequality.Solving InequalitiesThe possible values that make an inequality true are called its solutions. Thus, when we solve an inequality, we are finding all the values that make it true. T...
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