1. Which of the following describes the system of equations 2x - y + 4 = 0 and 4x - 2y + 7 = 0? A. consistent and independent B. none of these C. inconsistent D. consistent and dependent Hint 2. Solve the system of equations x = 4 and 3x - 4y = 12 by graphing. A. B. C. D. Hint 3. If you solve the following system of equations by substitution, which statement is true?x = zx - 2y + z = 62x + y - 2z = 1 A. You can substitute x for z into the second and third equations. B. Neither method will work. C. Both methods will work. D. You can substitute z for x into the second and third equations. Hint 4. Find the values of x and y for which the matrix equation is true. A. x = -1, y = -3 B. x = 1, y = -3 C. x = -3, y = 1 D. x = -3, y = -1 Hint 5. Triangle ABC has vertices A(7, 2), B(3, -1), and C(1, 4). Find the image of the triangle after a reflection over the x-axis. A. A'(7, -2), B'(-1, 3), C'(-1, -4) B. A'(2, 7), B'(-1, 3), C'(4, 1) C. A'(7, -2), B'(3, 1), C'(1, -4) D. A'(-7, -2), B'(-3, 1), C'(-1, -4) Hint 6. Find the value of . A. 3 B. -3 C. -17 D. 17 Hint 7. The graph of the system of inequalities is shown below. Name the coordinates of the vertices of the polygonal set. A. (1, -4), (3, 0), and (0, 1) B. (-1, 1), (-1, 4), and (2, 1) C. (1, -1), (-1, 3), and (2, 1) D. (0, 0), (2, 0), and (2, 6) Hint 8. Find the maximum value of f(x, y) = 2x + y - 2 for the polygonal convex set determined by the system of inequalities. A. 18 B. 6 C. 14 D. 12 Hint 9. Solve the system of 3 equations by substitution.x = 3y + 2z2x + 3y + 2z = 3-x + y - z = 6 A. (1, 3, -4) B. no solution C. (8, 4, -2) D. infinite solutions Hint 10. A. B. C. D. impossible Hint 11. The image of after Rot180 · Ry-axis is the same as which other reflection, if the vertices are A(1,1), B(2,6), C(6,4)? A. reflection over the y-axis B. reflection over the line y = x C. none of these D. reflection over the x-axis Hint 12. Set up a matrix equation for this chemistry problem. How many liters of 0.25 solution and 0.40 solution should be combined to make 10 liters of 0.35 solution? A. B. C. D. Hint 13. Sam has \$10,000 to deposit in two different savings accounts. He wants at least \$3,000 in the account that earns 3% interest. He wants no less than \$5,000 in the account with 7% interest. Write a system of inequalities to represent this situation. A. x 3000y 5000x + y 10,000 B. x 5000y 3000x + y 10,000 C. x 3000y 5000x + y 10,000 D. x 3000y 5000x + y 10,000 Hint 14. Sam has \$10,000 to deposit in two different savings accounts. He wants at least \$3,000 in the account with 3% interest. He wants no less than \$5,000 in the account with 7% interest.Graph this system of inequalities. A. B. C. D. Hint