1.   Triangle FGH has vertices F(12, 6), G(8, 1), and H(-4, 4). If the triangle is reduced so that the resulting perimeter is half the original perimeter, what are the coordinates of F'?
    A. (-2, -2) B. (4, 2)
    C. (6, 3) D. (6, 6)
    Hint

  2.   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

  3.   Find
    A. B.
    C. D.
    Hint

  4.   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

  5.   For the determinant , which is the minor of -4?
    A. B.
    C. D.
    Hint

  6.   Find the determinant of
    A. -21 B. 0
    C. -11 D. -16
    Hint

  7.   Does the inverse of exist? If it does not exist, explain why not.
    A. No; the elements of the principal diagonal are not 1.
    B. No; the matrix is not square.
    C. No; the determinant equals 0.
    D. Yes
    Hint

  8.   What are the dimensions of matrix A if
    A. 4 × 4 B. 4 × 3
    C. 3 × 4 D. 3 × 3
    Hint

  9.   Which of the following is an example of a column matrix?
    A. B.
    C. D.
    Hint

  10.   Find AB if and
    A. B.
    C. D.
    Hint

  11.   State whether the product of A3 × 4 and B3 × 4 is defined, and if it is defined, state the dimensions.
    A. defined, 3 × 4 B. defined, 9 × 16
    C. undefined D. defined, 4 × 3
    Hint

  12.   Solve 2.4x + 1.7y = 8.2, 3.8x – 0.8y = 5.3. Round to the nearest hundredth.
    A. (–1.86, 2.20) B. (–1.86, –2.20)
    C. (1.86, –2.20) D. (1.86, 2.20)
    Hint

  13.   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

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

  15.   Which of the following is a matrix equation for the system 5x – 3y =11, –3x + 2y = 7?
    A.
    B.
    C.
    D.
    Hint

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



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