College Algebra Math 110 Module 6 Writing Assignment Give yourself enough space to show all of your work. Grading Criteria: Your assignment will be graded according to the answer key. Show all of your work; you may be able to earn partial credit for your thought process even if a computational error led you to the wrong answer. 1. Determine if the ordered pair (4, 7) is a solution to the following system: 4x y 9 3 y x 19 0 2. Solve the following system by graphing: y 3x 8 6 3y x 0 3. Solve the following system by substitution: w 8x 2 x 2 w 26 4. Solve the following system by substitution: 3t 2 s 7 2 s 6 5t 2 5. The perimeter of a backyard is 430 feet. If the width is 19 feet less than the length, find the length of the yard. 6. Solve the following system by elimination: 5 x 7 y 12 7y x 6 7. Solve the following system by elimination: 6t 5s 10 3t 3s 2 8. Solve the following system: 2 5 x 4y 3 3 2 y 6 x 19 9. Ye Olde Candy Shoppe wants to make a candy mixture with gummy bears and gumdrops. Gummy bears cost $3.25 per pound, and gumdrops cost $4.25 per pound. If Ye Olde Candy Shoppe wishes to make a 60-pound batch which costs $3.70 per pound, how many pounds of each type of candy are needed? 10. Two cars start off 700 miles apart. They begin driving towards one another, with one car going 40 miles per hour faster than the other. If it takes 5 hours for the two cars to meet, how fast is each car traveling? 11. Simplify the following: x2 y 4 z 2 12. Simplify the following: 121x 2 144 x12 13. Simplify the following: 7 11 3 45 8 2 44 9 2 5 20 14. Multiply and simplify the following: 3 2 7 6 5 7 15. Find the length of side a. Your answer should be precise. a 2 17 14