University of Maryland University College MATH106 - 6382 (Erker) Quiz 3 12 September 2016 Directions: Read and sign the academic honesty certification statement below, then read the questions carefully and answer them to the best of your ability. You may write your answers on this sheet (in the boxes) or on the sheet you do your work on, but remember that it is necessary to show your work. Note that there should be sufficient space in each exercise to show all work necessary to carry out the exercise. Follow directions as outlined in Quiz 3 folder under the \"Assignments\" link on our LEO classroom NavBar. Your work on this quiz is due as specified in the Course Schedule. I cannot accept any late submissions! This is open-book and notes; calculators & graphing devices are authorized for use. Good luck! I certify the work submitted on and with this document represents my own personal work. I have not collaborated with, or consulted with, anyone else to produce the work I am submitting. I certify I have not used any instructor solutions manuals, or any online problem solving services. I understand and agree to abide by UMUC Policy on Academic Dishonesty and Plagiarism. _____R. Tardieu 16 Sep Student Signature & Date 16_______ 1. Express the following system of equations in augmented matrix form: x+ 2 y =1 2 x + 4 y=1 2. Express the following augmented matrix form as a system of equations with two variables. [ | ] 7 1 10 3 5 0 3. Express the following system of equations in augmented matrix form: 8 x+3 y =2 5 x=17+6 y 4. Solve the system of equations represented in augmented matrix form, using Gaussian elimination. [ | ] 5 7 6 10 3 46 5. Solve the following system of equations using Gaussian elimination. 4 x +5 y=7 2 x +9 y=31 6. Graph the inequality in the given coordinate system, using shading to indicate the solution region. 3 x+ 4 y <12 7. graph the inequality in given coordinate system, using shading to indicate solution region. 5 x3 y 15 8. system of inequalities 4 x +5 20 7 +3 <21 note: all applications problems, please clearly define relevant variables, and state answer complete sentences, context question problem statement. 9. at a recent umuc athletic event, you sold red baseball caps for $12, gold $15. total 200 were sold, $2760. how many each type cap was sold? $12 $15 amount 120 $1800 80 $960 amt =200 $2760 10. invested $10,000 two accounts over one-year period. one account earned 2.5% interest other 4% interest. end year $355. much money beginning year? both $355 =total + on dollars =(x)(2.5%) >