Simplifying Expressions
Simplifying Expressions
Christy Bailey
MATT 221: Introduction to Algebra
Instructor: Stacie Williams
October 13, 2013
Simplifying Expression
Include in this paper I have demonstrated the following solutions for the three problems listed below. Using th given vocabulary words I have broken down each problem using the proper steps in solving the algebraic expressions. Also shown will be what is important about real numbers and in what way they are useful in using real numbers in solving algebraic expressions. By breaking down the equation you can simplify the equation down to lowest terms. Gathering the like terms in the equation is a step in breaking down the expression correctly. Take the coefficient and multiply it by the variable. The distributive property in the expression is the letters in the expression. When solving a algebraic expression you always remove the parenthesis first.
A.)2a(-5 + a) + 4(a + -5) Simplify the terms (-5 * 2a + a * 2a) + 4(a + -5) (-10a + 2a2) + 4(a + -5)
-10a + 2a2 + 4(-5 + a) Reorder the terms -10a + 2a2 + (-5 * 4 + a * 4) -10a + 2a2 + (-20 + 4a) -10a + 4a = -6a -20 + -6a + 2a2 Combine the like terms : -20 + -6a + 2a2 a = 5 This is the simplified answer a = {-2, 5}
B.) 2w – 3 + 3(w – 4) – 5(w – 6) The given expression -3 + -12 + 30 + 2w + 3w + -5w The distributive property removes the parentheses.
-15 + 30 + 2w + 3w + -5w Combine the like terms
15 + 2w + 3w + -5w = 0 Combine the like terms 2w + 3w = 5w Combine like terms again
15 + 5w + -5w
5w + -5w
15 + 0
15 = 0 The final answer
C.) 0.05(0.3m + 35n) + -0.8(-0.09n + -22m)
(0.3m * 0.05 + 35n * 0.05) + -0.8(-0.09n + -22m)
(0.015m + 1.75n) + -0.8(-0.09n + -22m)
0.015m + 1.75n + -0.8(-22m + -0.09n) Reorder the terms
0.015m + 1.75n + (-22m * -0.8 + -0.09n *
Christy Bailey
MATT 221: Introduction to Algebra
Instructor: Stacie Williams
October 13, 2013
Simplifying Expression
Include in this paper I have demonstrated the following solutions for the three problems listed below. Using th given vocabulary words I have broken down each problem using the proper steps in solving the algebraic expressions. Also shown will be what is important about real numbers and in what way they are useful in using real numbers in solving algebraic expressions. By breaking down the equation you can simplify the equation down to lowest terms. Gathering the like terms in the equation is a step in breaking down the expression correctly. Take the coefficient and multiply it by the variable. The distributive property in the expression is the letters in the expression. When solving a algebraic expression you always remove the parenthesis first.
A.)2a(-5 + a) + 4(a + -5) Simplify the terms (-5 * 2a + a * 2a) + 4(a + -5) (-10a + 2a2) + 4(a + -5)
-10a + 2a2 + 4(-5 + a) Reorder the terms -10a + 2a2 + (-5 * 4 + a * 4) -10a + 2a2 + (-20 + 4a) -10a + 4a = -6a -20 + -6a + 2a2 Combine the like terms : -20 + -6a + 2a2 a = 5 This is the simplified answer a = {-2, 5}
B.) 2w – 3 + 3(w – 4) – 5(w – 6) The given expression -3 + -12 + 30 + 2w + 3w + -5w The distributive property removes the parentheses.
-15 + 30 + 2w + 3w + -5w Combine the like terms
15 + 2w + 3w + -5w = 0 Combine the like terms 2w + 3w = 5w Combine like terms again
15 + 5w + -5w
5w + -5w
15 + 0
15 = 0 The final answer
C.) 0.05(0.3m + 35n) + -0.8(-0.09n + -22m)
(0.3m * 0.05 + 35n * 0.05) + -0.8(-0.09n + -22m)
(0.015m + 1.75n) + -0.8(-0.09n + -22m)
0.015m + 1.75n + -0.8(-22m + -0.09n) Reorder the terms
0.015m + 1.75n + (-22m * -0.8 + -0.09n *