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multiply the entire equation by a number

divide the entire equation by a number

add numbers to both sides of the equation

subtract numbers from both sides of the equation

use the commutative property to rearrange the equation

use the associative property to rearrange the equation

factor a number out of a portion of the equation

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Q: The rules of algebra used to transform equations into equivalent equations?

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The relationship between algebra and statistics may not be immediately apparent. In algebra, you learn how to change an expression from y equals a function of x to x equals a function of y. This ability to transform equations by the rules of algebra is very important in statistics. The standard textbooks in statistics provide equations identifying how to calculate the mean and standard deviation. Generally, from this point, the ability of these statistics based on a limited sample size, to infer (or suggest) properties of the population is introduced. The rules of algebra are used to transform the equation which provides confidence intervals given a sample size to one that provides the sample size given a confidence interval. Similarly, in hypothesis testing, algebra is used again. I can be given a certain level of significance, and decide whether to accept (fail to reject) or reject the null hypothesis. Or, the same equations can be transformed to identify what level of significance is needed to accept the null hypothesis. Algebra is required to understand the relationships between equations. You can think of statistic equations of a series of building blocks, and with algebra you can understand how one equation is derived from another. Not only algebra, but many other areas of mathematics (geometry, trigonometry and calculus) are used in statistics.

Algebras are systems of rules for manipulating strings of symbols. The most familiar algebra taught in school is used for manipulating ordinary mathematical equations for calculating numeric quantities, but there are many other algebras (e.g. boolean algebra, knot algebra, text parsing algebras, hoph algebras, quaternion algebra, group algebra, cellular algebra).

In Algebra 1 you learn all the basics and build on these skills through a certain level. Geometry came in between for everyone I've knows.. here you use the basic algebra skills in an otherwise easier course. Algebra 2 consist of more advanced numbers, equations, operators, rules and procedures, without most of what one learned into Geomretry. You're constantly using the quadratic equation, which was used in geometry andvery often in Algebra 2. You'll solve systems of equations and start to get into trig

Some sequences are defined by rules and algebra is a mathematical way of describing rules.

Some sequences are defined by rules and algebra is a mathematical way of describing rules.

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A mathematical model is mathematical equations based on the rules of Physics.

what term is defined as math matical equations based on rules of physics

Conservation of mass and energy

The same way you do for simple algebra. The complication on each side don't change the rules; you are still doing algebra.

algebra is the answer to your question!

formula expression

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