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# Algebra

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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.

https://brainmass.com/math/basic-algebra/order-operations-algebraic-expressions-197443

#### 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]
ïƒž 2 + 5 x 0 = 0 = 4 + 5 x 0 ïƒž 2 = 4, this is absurd.
2 + 5 x 0 ...

#### Solution Summary

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

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