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. ordered triple
    C. sum D. ordered pair
    Hint

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

  3.   At a firm, there are three workers that are supposed to work a combined 110 hours per week. Worker 1 is supposed to work 5 hours more than worker 2, and worker 2 is supposed to work 15 hours more than worker 3. How long should each one work?
    A. worker 1: 42.5worker 2: 37.5worker 3: 30 B. worker 1: 45worker 2: 40worker 3: 25
    C. worker 1: 45worker 2: 35worker 3: 30 D. worker 1: 40worker 2: 45worker 3: 25
    Hint

  4.   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: 54worker 2: 28worker 3: 28 D. worker 1: 44worker 2: 33worker 3: 33
    Hint

  5.   What is true about a system of equations in three variables that has 1 solution?
    A. planes have no points in common B. planes intersect in one line
    C. planes intersect in the same plane D. planes intersect in one point
    Hint



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