96test1

# 96test1 - x y x y y ! ’ + & ’ ! 2 4 2 , , . Find...

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September 20, 2011 Math 96 - Test 1 Name__________________ Show work for full credit. 1. Determine whether the ordered pair ( , ) ( , ) x y ! 3 5 satisfies the system 9 3 12 4 3 x y x y ! + ! ! " # \$ . , 2. Determine whether ( , , ) ( , , ) x y z ! ! ! 2 1 2 satisfies the system x y z x y z x y z + ! ! ! ! ! ! ! + ! " # % \$ % 2 5 2 7 2 3 6 , , . 3. Solve by graphing x y y x + ! ! ! ! ! " # \$ 4 2 5 . That is, graph the two lines and find the point ( , ) x y where the lines intersect. 4. Solve by graphing 2 2 6 5 x y y x ! ! ! ! " # \$ .

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September 20, 2011 Math 96 - Test 1 page 2 of 4 5. y x x y ! ! + ! " # \$ 2 9 3 8 6. x y x y ! ! + ! ! " # \$ 20 2 2 4 24 Solve by the elimination method. 7. x y x y ! ! ! + ! ! " # \$ 2 6 3 4 8. 3 4 25 2 10 x y x y + ! + ! " # \$ Solve the system of equations. 9. x y z y z y z + + ! + ! ! ! ! ! 3 2 14 5 21 4 17 , , 10. A warehouse contains parts to manufacture unicycles, bicycles, and tricycles. There are 23 seats, 51 wheels, and 20 sets of handlebars. How many unicycles, bicycles, and tricycles can be manufactured from these parts?
September 20, 2011 Math 96 - Test 1 page 3 of 4 Solve. 11. 2 3 5 x + ! 12. x x ! ! ! 2 2 7 Solve. Either graph the solution or write the answer using interval notation. 13. 2 6 4 x ! 14. x ! # 4 2. 15. Graph the system of inequalities

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Unformatted text preview: x y x y y ! ’ + & ’ ! 2 4 2 , , . Find coordinates of vertices formed. September 20, 2011 Math 96 - Test 1 page 4 of 4 16. a. Write the matrix that represents the system x y x y + ! ! ! 5 14 3 4 4 . b. Perform the row operation, ! + 3 1 2 R R , on the second row of the matrix and write the new matrix. c. Perform the row operation, ! 1 19 2 R , on the second row of the resulting matrix. d. Write the system of equations equivalent to the matrix that results from c, then solve the system. 17. Write a matrix to represent the system 2 4 3 3 7 1 1 2 x y z x y z y z ! + ! ! + ! ! ! ! ! , but do not solve the system. 18. A system of equations in x , y , and z is represented by the matrix 1 2 3 9 1 3 5 1 2 ! ( ) * * * + ,---. Solve the system of equations....
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## This note was uploaded on 12/12/2011 for the course MATH 96 taught by Professor Lapuma during the Fall '11 term at UCSD.

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96test1 - x y x y y ! ’ + & ’ ! 2 4 2 , , . Find...

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