501 Words3 Pages

Assignment One: Simplifying Expressions
Jennie
Introduction to Algebra
Simplifying Expressions
Assignment one for week one I have to simplifying expressions. I will here and now display how the properties of real numbers are used while I simplify the following expressions. My math work will be aligned on the left while the discussion of properties will be on the right side of each line. I have to explain in through my math work how the properties of real numbers are important to know while working with Algebra. In what ways are they useful or simplifying algebraic expression? I have three examples of expressions to work with use the properties of real numbers to simplify the following expressions. Example A) 2a(a – 5) + 4(a – 5), Example B) 2w – 3 + 3(w – 4) – 5(w – 6), and Example C) 0.05(0.3m + 35n) – 0.8(-0.09n – 22m)
Example A) 2a(a – 5) + 4(a – 5)
3αa-7+6a-7 The given expression
3a2-21a÷6a-42 The distributive property removes the parentheses.
3a2-15a2-42 Like terms are combined by adding coefficients. This expression is now fully simplified.
Example 2 it was not necessary to change the order of the terms as the like terms were already together in the middle of the expression in step 2.
Example B) 2w – 3 + 3(w – 4) – 5(w – 6)
5w-7w-3-4w-9 The given expression
5w-7+7w-21-4w+36 The distributive property removes the parentheses.
5w+7w-4w-7-21+36 Like terms is arranged together using the commutative property to switch places. 12w-4w-28+36 Two of the variable terms are added and two of the constant terms are also added
8w+8 The remaining pairs of like terms are

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