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Simplifying Algebraic Expressions
Name
MAT 221
Instructor
Date
Simplifying Algebraic Expressions
The simplifying of expressions is necessary when using Algebra. Turning cluttered numbers and symbols into easier to read equations is very necessary. We must both know how the process works and why it works. In this assignment, I will do my best to simplify the given expressions and outline the process.
1. 2a(a – 5) + 4(a – 5) Given Expression
2a²-10a+4a-20 Distribution due to distributive property removes parentheses
2a²-6a-20 combining like terms lets us simplify the expression
The expression is now in the simplest form
1. 2w–3+3(w–4)–5(w–6) Given Expression
2w-3+3w-12-5w+30 Distribution due to distributive property removes parentheses
2w+3w-5w-3-12+30 Like terms are arranged together using commutative property
0+15 Like terms are combined by adding coefficients
15 Final simplified answer
1. 0.05(0.3m + 35n) – 0.8(-0.09n – 22m) Given Expression
0.015m + 1.75n + .072n + 17.6m Distribution property lets us simplify expression
0.015m + 17.6m + 1.75n +.072n Commutative property groups like terms
17.615m + 1.822n Final simplified answer due to not being able to further simplify the two given coefficients and variables
Simplifying algebraic expressions is much easier when using the properties of real numbers. The distributive property seems to be the most useful by allowing an expression to be simplified by using multiplication and addition.
Reference
Dugopolski, M. (2012). Elementary and intermediate algebra (4th ed.). New York, NY: McGraw-Hill Publishing.