Purchase Solution

Algebra

Not what you're looking for?

Ask Custom Question

1. Why is it necessary to study the order of operations and the laws of operations before you start solving equations?
2. Of the three laws, commutative, associative, and distributive, which one is most frequently used in algebra? Why?
3. How does a term differ from a factor?
4. When adding or subtracting expressions, how do you identify like terms. Show an example.

Purchase this Solution

Solution Summary

The expert determines the orders of operations for algebraic expressions. A neat and step-wise explanation to all the questions with examples

Solution Preview

1. Why is it necessary to study the order of operations and the laws of operations before you start solving equations?

It is necessary to study the order of operations and the laws of operations before we start solving the equations because if the order of operations is not followed, the end results are likely to be incorrect.
A very simple example (involving simplification of an expression) is shown below:
Simplify 2 + 5 x 0
2 + 5 x 0 = 7 x 0 = 0 [If the order is violated] and 4 + 5 x 0 = 9 x 0 = 0 [If the order is violated]
 2 + 5 x 0 = 0 = 4 + 5 x 0  2 = 4, this is absurd.
2 + 5 x 0 ...

Purchase this Solution


Free BrainMass Quizzes
Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Probability Quiz

Some questions on probability