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

  2.   Solve the system 4y – 6x + 8z = 13, 10y – 15x + 20z = 6, y – 5x + 2z = 5.
    A. (-3, 1, 7) B. infinite solutions
    C. D. no solution
    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: 45worker 2: 35worker 3: 30 B. worker 1: 45worker 2: 40worker 3: 25
    C. worker 1: 40worker 2: 45worker 3: 25 D. worker 1: 42.5worker 2: 37.5worker 3: 30
    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: 54worker 2: 28worker 3: 28 B. worker 1: 44worker 2: 33worker 3: 33
    C. worker 1: 40worker 2: 35worker 3: 35 D. worker 1: 14worker 2: 48worker 3: 48
    Hint

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



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