1.   Graph the system of equations to determine whether it has no solution, infinitely many solutions, or one solution. If the system has one solution, name it.
2x - y = 4
x + 2 y = 2
    A. one solution at (2, 0) B. one solution at (0, 2)
    C. no solution D. infinitely many solutions
    Hint

  2.   Use substitution to solve the system of equations.
5x + 5y = -30
2x - y = 15
    A. infinitely many solutions B. (3, -9)
    C. no solution D. (21, 27)
    Hint

  3.   Students from the local high school are selling tickets to the town's annual carnival. Adult admission is $5.00 and child admission is $2.50. Two hours after the carnival opened its first day, 440 tickets had been sold totaling $1900. How many adults and how many children entered the carnival during the first two hours it was open?
    A. 380 adults, 760 children
    B. 293 adults, 147 children
    C. 220 adults, 220 children
    D. 320 adults, 120 children
    Hint

  4.   Use elimination to solve the system given below.
4x + 3y = -20
x + 3y = 4
    A. B. (-8, 4)
    C. D.
    Hint

  5.   Use elimination to solve the system of equations given below.
3x - 2y = 4
2x + y = -2
    A. B.
    C. D. (0, -2)
    Hint

  6.   Determine which point is a solution to the system of inequalities by graphing.
y > -2x + 6
2x + y -3
    A. (8, 0) B. (0, 0)
    C. (-7, 3) D. no solution
    Hint

  7.   Solve the system of equations given by 5x – 2y = -6 and 15x – 6y = 6.
    A. no solution B. (-2, -2)
    C. infinitely many solutions D. (1, 1)
    Hint

  8.   Use elimination to solve the system of equations given by 3x – 2y = 10 and 5x + 2y = 6.
    A. (2, -2) B. (-2, -8)
    C. infinitely many solutions D. no solution
    Hint

  9.   A boat travels 30 miles upstream in 4 hours. The trip downstream takes 2.5 hours. Find the rate of the boat in still water.
    A. 9.23 mph B. 9.75 mph
    C. 2.25 mph D. 6.92 mph
    Hint

  10.   Which point is not in the solution set of y < 7x + 6 and y < -7x + 6.
    A. (0, 2) B. (1, -5)
    C. (-1, 6) D. (2, -15)
    Hint



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