MATH 114 EXAM PREP VERIFIED Algebra for College Students COMPLETED 2026/2027 (9pages)

1. Solve the following system of linear equations using the Gauss-Jordan elimination method. Show all your steps. 2x - y + 3z = 5 x + 2y - z = -2 3x - y + 2z = 4 Answer: The solution is x = 1, y = -1, z = 0. 2. Find the inverse of the following matrix, if it exists. Show all your steps. | 1 2 | | 3 4 | Answer: The inverse matrix is | -2 1 | | 1.5 -0.5 | 3. Simplify the following rational expression. Show all your steps. (x^2 - x - 6) / (x^2 - 4x + 4) Answer: The simplified expression is (x + 2) / (x - 2)