1.   Use Cramer's rule to find the value of n in the system of equations.


    A. -22 B.
    C. D.
    Hint

  2.   Solve [3x 8y] = [-12 1] for x and y.
    A. x = -12
y = 1
    B. x = -4
y =
    C. x = 4
y = 1
    D. x = -4
y = 8
    Hint

  3.   Solve .
    A. (-2, -8) B.
    C. D. (2, 8)
    Hint

  4.   Find
    A. B.
    C. D.
    Hint

  5.   Find C + D if C = [14 8 -1] and D = [-10 8 15].
    A. [4 16 14] B. [24 0 -16]
    C. [24 16 14] D. [4 0 -16]
    Hint

  6.   Triangle PQR with vertices P(-8, 9), Q(-3, -1), and R(2, 5) is translated so that P' is at (-12, 0). Find the translation matrix.
    A. B.
    C. D.
    Hint

  7.   Which product is not defined?
    A. [11 4 -3]
    B. [16 12 5]
    C.
    D.
    Hint

  8.   The product gives the coordinates of two points on line AB that has been rotated 90° counterclockwise about the origin. Name the coordinates of A' and B'.
   
    A. A'(-1, 1), B'(1, -3)
    B. A'(1, 1), B'(-1, -3)
    C. A'(1, -3), B'(1, 1)
    D. A'(-1, -3), B'(1, 1)
    Hint

  9.   Evaluate using expansion by minors.
    A. 68 B. 14
    C. 80 D. 64
    Hint

  10.   Find the inverse of
    A. B.
    C. D.
    Hint

  11.   Solve using inverse matrices.
    A. (4, -4) B. (-4, 4)
    C. (-4, 0) D. (4, 4)
    Hint

  12.   Find the product of
    A.
    B.
    C.
    D.
    Hint

  13.   Evaluate
    A. –38 B. 38
    C. 128 D. –128
    Hint

  14.   Two sides of an angle are contained in lines whose equations are 6x + 4y = 15 and 7x – 9y = 3. Find the coordinates of the vertex of the angle. Round to the nearest hundredth.
    A. (1.79, 1.06) B. (–1.79, 1.06)
    C. (–147, –87) D. (147, 87)
    Hint

  15.   Determine whether the pair of matrices are inverses.
    A. yes, because A · B = I. B. no, because A · B I
    C. yes, because each entry in the second matrix is the reciprocal of its corresponding entry in the first matrix. D. no, because fractions cannot be a part of an inverse
    Hint

  16.   Solve the system of equations 7x – 14y =4, 3x – 6y =17.
    A. (2, 1) B. no unique solution
    C. (3, –2) D. infinite solutions
    Hint



Glencoe
The McGraw-Hill Companies