RUNNING HEAD: Simplifying This assignment consists of simplifying equations using different steps to complete each task. In the first equation, I will show how I used the DISTRIBUTIVE PROPERTYto REMOVE THE PARENTHSIS, and SIMPLIFY the equation. 1.2a(a – 5) + 4(a – 5) 2a x a= 2a2Distributive Property with combining like terms2a x -5= -10ausing multiplication to simplify the equation.2a2-10a4 x a = 4a4 x -5= -20 2a2-10a+4a-20SIMPLIFIED: 2a2 -6a-202.In problem two, I was able to combine LIKE TERMS. I used the COEFFICIENT of W to remove it completely from the equation. 2w – 3 + 3(w – 4) – 5(w – 6) Using the Distributive Property3 x w – 3 x -4Of multiplication, addition, and subtraction3w - 12 -5 x w -5 x -6-5w+302w -3+3w-12-5w+30Combine like terms2w+3w-5w-3-12+303+2=5-5=0
and subtraction skills. I was able to come up with a simplified answer3.0.05(0.3m + 35n) – 0.8(-0.09n – 22m).05 x .3m= .015mDistributive Property of multiplication,.05 x 35n= 1.75naddition, and subtraction-.8 x -.09n= .072n-.8 x-22m= 17.6mCombine like terms.015m+ 17.6m= 17.615m1.75n+.072n= 1.822nSIMPLIFIED: 17.615m+1.822A discussion of why the properties of real numbers are important to know when working with algebra. In what ways are they useful for simplifying algebraic expressions?Knowing all the properties of real numbers in algebra is imperative because you must be able to use these properties in order to properly put expressions and equations into their simplest form by moving terms around to solve or simplify the expression. Distribution is used to multiply across terms inside parentheses, allowing you to remove the parentheses for the problem.