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```Name: _____________________
Math 434
Homework # 7
Directions: Please complete all problems. Show all work on a separate piece of paper.
I.
Solve each equation algebraically. Graph the solution sets for inequalities.
1.
.
2.
3.
4.
5.
6.
7.
8.
9.
Graph
as accurately as possible on GRAPH PAPER. (Graph paper is available on the
class website to print out).
Challenge Problem:
10.
11.
A piece of wire 8 feet in length is to be cut into two pieces. Each piece will then be
bent into a square. Where should the cut in the wire be made if the sum of the areas of
these squares is to be 2 square feet? (Solve algebraically).
(HINT 1:
Suppose the first piece of wire is x feet in length. How long is the other
piece, in terms of x?)
(HINT 2:
What is the length of each side of the first square? Of the second
square?)
Without using a calculator, simplify
without absolute value. Do the same for
II.
by writing an equivalent expression