Simplifying Expressions
Christy Bailey
MATT 221: Summary of Algebra
Teacher: Stacie Williams
October 13, 2013
Streamlining Expression
Use in this paper I have shown the following solutions for the three problems listed below. Using th given terminology words I've broken down each problem making use of the proper stages in solving the algebraic expressions. Also shown will be what is important about real quantities and in what way they may be useful in employing real amounts in solving algebraic expression.
By wearing down the formula you can simplify the equation down to least expensive terms. Gathering the like terms in the equation is a part of breaking down the expression correctly. Take the coefficient and multiply this by the variable. The distributive property inside the expression is the letters in the expression. Once solving a algebraic appearance you always eliminate the parenthesis first.
A. )2a(-5 + a) & 4(a & -5) Easily simplify the terms (-5 2. 2a + a * 2a) + 4(a + -5)
(-10a + 2a2) + 4(a & -5)
-10a + 2a2 + 4(-5 + a)Reorder the terms
-10a & 2a2 & (-5 2. 4 & a 2. 4)
-10a + 2a2 & (-20 + 4a)
-10a & 4a = -6a -15 + -6a + 2a2 Combine the like terms
:
-25 + -6a + 2a2
a = 5This is the made easier answer
a = -2, 5
B. ) 2w – 3 & 3(w – 4) – 5(w – 6)The provided expression
-3 & -12 + 30 & 2w & 3w & -5wThe distributive property takes away the parentheses. -15 + 30 + 2w & 3w & -5w Combine the like conditions
15 & 2w + 3w & -5w sama dengan 0Combine the like terms
2w + 3w = 5wCombine like terms again
15 + 5w + -5w
5w + -5w
15 + 0
15 = 0The final solution
C. ) 0. 05(0. 3m & 35n) & -0. 8(-0. 09n + -22m)
(0. 3m * zero. 05 + 35n * 0. 05) + -0. 8(-0. 09n + -22m)
(0. 015m & 1 . 75n) + -0. 8(-0. 09n + -22m)
zero. 015m & 1 . 75n + -0. 8(-22m & -0. 09n) Reorder the terms
zero. 015m + 1 . 75n + (-22m * -0. 8 + -0. 09n *...