1.   Solve the system of equations by graphing.
y = 6
y = x + 2
    A. (6, 8) B. (4, 6)
    C. (2, 4) D. (6, 4)
    Hint

  2.   Refer to the graph below. Which statement is not true for the system of equations?
   
    A. This system is inconsistent.
    B. This system is consistent.
    C. The graphs appear to be parallel lines.
    D. There is no solution to this system of equations.
    Hint

  3.   Suppose that you solve a system of equations by using the substitution method. After you substitute an expression for y from the first equation into the second equation, you get the statement 2 = 2. This means that _____.
    A. the system has infinitely many solutions B. the solution to the system is (0, 2)
    C. the system has no solutions D. the solution to the system is (2, 2)
    Hint

  4.   Solve the system y = x – 1 and 3xy = 7.
    A. (3, 2) B. (2, 3)
    C. (2, 1) D. (-3, -2)
    Hint

  5.   One algebraic method for solving systems of equations is called elimination. It is called the elimination method because you try to eliminate _____.
    A. the negative values for x B. one of the equations
    C. all of the coefficients D. one of the variables
    Hint

  6.   Select the system of equations in which you should use subtraction to eliminate one of the variables.
    A. –5y + x = 12 and
5y + 2x = 16
B. x + y = 1 and
4xy = 9
    C. 4y – 3x = 10 and
y + 3x = 15
D. 2x + y = 10 and
2x – 3y = 7
    Hint

  7.   How many solutions can a quadratic–linear system of equations have?
    A. none, 1, or 2 B. none or 1
    C. 1, 2, or 3 D. 1 or 2
    Hint

  8.   Demothi wants to make sure to get enough protein by eating 19 high protein items every week. The items he has to choose from are soymilk, 8 grams of protein, a peanut butter sandwich, 16 grams of protein, and hash browns, 4.5 grams of protein. If he wants to get 202 grams of protein from these items and eat 4 servings of hash browns, how many of each item does he need to eat?
    A. s = 7, p = 8 B. s = 11, p = 4
    C. s = 4, p = 11 D. s = 8, p = 7
    Hint

  9.   Katrina has $50 and makes $6 per hour. Kevin has $30 and makes $1 every ten minutes. If neither of them spends any money and they work the same hours, will Katrina and Kevin ever have the same amount of money?
    A. They will always have the same amount of money.
    B. Katrina will always have more money.
    C. Kevin will always have more money
    D. Eventually they will have the same amount of money.
    Hint

  10.   Use elimination to solve 4x – 3y = 3 and x + y = 0.
    A. B.
    C. D.
    Hint

  11.   Use elimination to solve the system 5x – 4y= 14 and 7x + 3y = 11.
    A. (-2, 1) B. (1, -2)
    C. (2, -1) D. (-1, 2)
    Hint

  12.   Refer to the graph. What is (are) the solution(s) to the system?
   
    A. (-1, 3) B. (-1, 3) and (3, -1)
    C. (3, -1) D. no intersections
    Hint

  13.   Solve the system of inequalities y = 2x and y x + 1. Then choose the point that is not a solution of the system.
    A. B. (-1, 0)
    C. D.
    Hint

  14.   Solve the system of inequalities y 2x – 3 and y 2x + 2 by graphing. Identify the correct graph.
    A. B.
    C. D.
    Hint



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