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# MATH 221 ENTIRE COURSE ASSIGNMENTS AND DQS

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MATH 221 ENTIRE COURSE ASSIGNMENTS AND DQS

MAT 221 Week 1 Assignment 1 Simplifying Expressions

This assignment is comprised off of the properties of real numbers. In this assignment we will use these properties to simplify using 2a (a – 5) + 4(a – 5), 2w – 3 + 3(w – 4) – 5(w – 6), & 0.05(0.3m + 35n) – 0.8(-0.09n – 22m).

Simplifying: 2a(a-5)+4(a-5)

2a2-10a+4a-20

2a2-6a-20

In this expression we will use the distribution property which will remove the parentheses.  After this you will combine all of the like termwhich is done by adding the coefficients, upon completion this will finish the simplifying process.

Simplifying 2w-3+3(w-4)-5(w-6)

2w-3+3w-12-5w+30

2w+3w-5w-3-12+30

5w-5w-15+30

15

At this point you will use the distribution property andremove the parenthesis. After removing the parenthesis you will use the commutative property to compact the like terms.  In this expression you will add two variable and the two constant terms. Once this is complete you will have simplified this expression.

1.     .05(.3m+35n)-.8(.09n-22m)

.015m+1.75n+.072n+17.6m

.015m+17.6m+1.75n+.072n

17.615m+1.822n

In this expression, much like the first one, thedistribution property will be imperative to remove the parentheses.  Again, you will use the commutative property to match up the like termstogether. From here you will use the coefficients to add the like terms.  At this point you will have simplified the expression.

MAT 221 Week 1 DQ 1

A=12

B=-28

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