1.   The solution of a system of three linear equations in three variables, x, y, and z, is called a(n) ____ (x, y, z).
    A. integer B. sum
    C. ordered triple D. ordered pair
    Hint

  2.   A graph of a system of three linear equations in three variables is shown below. How many solutions does the system have?
   
    A. infinite number B. 2
    C. 1 D. 0
    Hint

  3.   What are the solutions to the system y + 2x – 5z = 4, –2y – 4x + 10z = 8, 3y + x – 3z = 5?
    A. infinite B. (2, 2, 1)
    C. (2, 2, –2) D. no solution
    Hint

  4.   Solve the system 4y – 6x + 8z = 13, 10y – 15x + 20z = 6, y – 5x + 2z = 5.
    A. infinite solutions B. no solution
    C. (-3, 1, 7) D.
    Hint

  5.   At a firm, there are three workers that are supposed to work a combined 110 hours per week. Worker 1 gets paid $10 per hour, worker 2 gets paid $12 per hour, and worker 3 gets paid $14 per hour. If the company wants their total income to be $1268, how many hours should each one work if worker 3 and worker 2 work for the same amount of hours?
    A. worker 1: 40worker 2: 35worker 3: 35 B. worker 1: 14worker 2: 48worker 3: 48
    C. worker 1: 44worker 2: 33worker 3: 33 D. worker 1: 54worker 2: 28worker 3: 28
    Hint



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