The properties of algebra are important to know and understand. “Algebra is useful because it can be used to solve problems. Since problems are often communicated verbally, we must be able to translate verbal expressions into algebraic expressions and translate algebraic expressions into verbal expressions.” (Dugopolski, 2012, Chapter 1.6, ) Each expression has properties that must be simplified and solving methods. You have to know how to follow the order of operation and simplify the equations, variables and like terms in order to complete the mathematical work. Simplify is very important in all expression, must be in simplest form when completely an equations. Also you have to move and combine like terms. The coefficient of a number is in front of a variable. The coefficient is a factor that can produce a result. The distributive property is a step that multiples a term to be followed in order for the equation to be complete. Lastly removing parentheses is another step you should follow in any equations or expression. You must remove the parentheses in order to solve the equation.
I will now demonstrate how the properties of real numbers are used while I simplify the following expressions.
2a (a – 5) + 4(a – 5)
2a2-10a+4a-20
2a2-6a-20
The given expression I multiply by distributive property and that allowed me to remove the parentheses. Then I combined the like terms by adding the coefficients. The