# Rewriting algebraic expressions

This reflects the fact that in many programming languages these are the characters that may be used in identifiers. This lesson applies a previous topic See Distributive Property to algebra. First, I will review the concept of the distributive property with the class.

What do you remember about the Distributive Property? Students may remember that the distributive property is multiplication over addition.

Then, I will explain that the distributive property can be used in algebra. We will work on simplifying expressions using the distributive property. How can we multiply a number by a variable? Many students may intuitively think to multiply to get 4x.

To support this, I will explain that we are multiplying 4 times the coefficient of x, which is 1, and we keep the variable. What happens to the parentheses after we've used the distributive property?

Students should notice that the parentheses is no longer necessary. This will be helpful in future lessons. We will work through more examples together. However, each term has a variable. I will have students discuss with their group how to simplify this expression.

As we work on a few examples together, students may realize that factoring is the distributive property in reverse. The distributive property is multiplying a number to the terms in the parentheses, whereas factoring is dividing the terms by a common factor.

If I factor out the GCF of 6, what would be the remaining factor in the parentheses?

Rewriting a radical expression with rational exponents (and vice-versa). Solving formulas containing exponential or logarithmic expressions. Warm-up: Solve the formula: for t. Do the same for the following. 1. Solve the formula: for t Algebraic Manipulation . Page 1 of 2. 26 Chapter 1 Equations and Inequalities. Rewriting Equations. and Formulas. EQUATIONS WITH MORE THAN ONE VARIABLE. In Lesson you solved equations with one variable. Many equations involve more. than one variable. PatrickJMT: making FREE and hopefully useful math videos for the world!

I will model a few more examples for the class, that present additional challenges like more than one variable. Factor 24x - 16y Ex.HISTORY.

It was only in the 17th century that algebraic notation similar to that used today was introduced. For example, the notation used by Descartes (La Geometrie, ) and Wallis () was very close to modern urbanagricultureinitiative.comr, algebra has a very long history.

## Regular expression - Wikipedia

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In computational mathematics, computer algebra, also called symbolic computation or algebraic computation, is a scientific area that refers to the study and development of algorithms and software for manipulating mathematical expressions and other mathematical urbanagricultureinitiative.comgh computer algebra could be considered a subfield of scientific computing, they are generally considered as distinct.

HISTORY. It was only in the 17th century that algebraic notation similar to that used today was introduced. For example, the notation used by Descartes (La Geometrie, ) and Wallis () was very close to modern urbanagricultureinitiative.comr, algebra has a .

Show transcribed image text Rewrite the quadratic portion of the algebraic expression as the sum or difference of two squares by completing the square.

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