# Elementary & Intermediate Algebra

Chapter 2 of Elementary and Intermediate Algebra. I do not understand the questions below:

1.What is the difference between an equation and an expression? How does knowing how to simplify an expression help with solving an equation?

2.When is it all right to cross-multiply when solving an inequality, and what are the rules that govern cross-multiplication with an inequality?

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#### Solution Preview

What is the difference between an equation and an expression? How does knowing how to simplify an expression help with solving an equation?

An expression shows a mathematical relationship between constants and/or variables. An expression cannot be "solved". (It does not have an answer)

An expression can be "simplified" or even "evaluated." To evaluate an expression, we plug in values for the variables. The evaluated result will be different if we plug in different numbers for the variables.

For example, the expression 5x + 8 can be ...

#### Solution Summary

The difference between an equation and an expression are determined. How to cross-multiply when solving an inequality to determined. A complete, neat and step-by-step solution is provided in the attached file.