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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 . Does your calculator agree? Textbook problem. Please do the following problem from the Bumby textbook: p. 85 Challenge: 1