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Question 1 (Multiple Choice Worth 2 points)Mark Jessica and Nate each downloaded music from the same website. Mark downloaded 10 songs in total consisting of pop rock and hip hop. Jessica downloaded five times as many pop songs twice as many rock and three times as many hip hop songs as Mark. She downloaded 28 songs total. If Nate downloaded 20 songs total with three times as many pop songs three times as many rock songs and the same number of hip hop songs as Mark how many songs of each type did Mark download? Mark downloaded 2 pop songs 5 rock songs and 3 hip hop songs. Mark downloaded 3 pop songs 2 rock songs and 5 hip hop songs. Mark downloaded 4 pop songs 2 rock songs and 4 hip hop songs. Mark downloaded 1 pop songs 4 rock songs and 5 hip hop songs.Question 2 (Multiple Choice Worth 1 points)Eliminate the z variable in the first two equations by finding opposite coefficients and adding. What is the resulting equation?4x y + z = 63x + 2y z = 04x y 3z = 2 7x + y = 6 x y = 6 x + y = 6 7x y = 6Question 3 (Multiple Choice Worth 1 points)The following system is solved by substitution. Which expression is substituted for z in the second and third equations?x + 5y z = 63x y 2z = 43x 2y + 3z = 13 x + 5y + 6 x + 5y 6 x 5y + 6 x 5y 6Question 4 (Multiple Choice Worth 2 points)Solve the following system of equations.x + 4y + z = 103x 3y + 6z = 21x + 2y + 2z = 10 (1 2 3) ( 4 1 2) ( 3 2 3) (2 2 4)Question 5 (Essay Worth 4 points)Using complete sentences explain which method you would use to solve the following system of equations and why. In your answer include the solution to one of the variables and how you found it using the method you chose.2x + y + z = 7x 3y + 4z = 14x 2y 3z = 11

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