1. The domain of a relation is all positive integers less than 4. The range of y or the relation is 2 plus x, where x is a number of the domain. Write the relation as a table of values and as an equation. A. B. C. D. None of these. Hint 2. Evaluate the function f(x) = 2x3 - 6x + 1 for f(-2). A. 5 B. -35 C. 37 D. -3 Hint 3. Given f(x) = x2 + 1 and g(x) = 2x - 1, find (f - g)(x). A. x2 - 2x + 2 B. x2 - 2x - 1 C. x2 - 2x + 1 D. x2 + 2x Hint 4. What type of relationship or pattern does the scatter plot suggest? A. a linear relationship whose data have a negative relationship B. none of these C. no pattern D. a linear relationship whose data have a positive relationship Hint 5. The stated weight of the box of soap is 8.3 ounces. The company randomly chooses boxes to test to see whether their equipment is dispensing the right amount of product. If the discrepancy is more than 0.15 ounce, the production line is stopped for adjustments. Identify the type of function that models this situation. A. step function B. a straight line C. absolute value function D. greatest integer function Hint 6. Solve the system of equations x = 4 and 3x - 4y = 12 by graphing. A. B. C. D. Hint 7. The equation 2x - y + 3z = 5 represents _____________ A. none of these. B. a circle. C. a line. D. a plane. Hint 8. Find the values of x and y for which the matrix equation is true. A. x = -3, y = -1 B. x = 1, y = -3 C. x = -1, y = -3 D. x = -3, y = 1 Hint 9. A. B. The product doesn't exist. C. D. Hint 10. Find the value of . A. -3 B. -17 C. 17 D. 3 Hint 11. Solve the systems of equations by using matrix equations. A. B. C. D. Hint 12. The profit for each unit of lumber is \$40 and the profit for each unit of plywood is \$60. Write a profit function P(x, y) if x = the number of units of lumber and y = the number of units of plywood. A. P(x, y) = 40x - 60y B. P(x, y) = 60x + 40y C. P(x, y) = 60x - 40y D. P(x, y) = 40x + 60y Hint 13. Find the x- and y-intercepts of the equation: A. x-intercept –2; y intercept 5 B. x-intercept 2; y-intercept 5 C. x-intercept 5; y-intercept -2 D. x-intercept –5; y-intercept 2 Hint 14. Write an equation of a line that has no slope and passes throughthe point (5,-6). A. y = 5 B. x = 5 C. x = -6 D. y = -6 Hint 15. How can you tell if two lines are perpendicular? A. The slopes are reciprocals. B. The slopes are the same. C. The slopes are opposite reciprocals. D. The slopes are opposites. Hint 16. A bank charges a \$10 fee if the account balance is less than \$200. If the balance is in between \$200 and \$500 there is a \$5 fee. If at least \$500 is in the account, there is no fee. What type of function best represents this situation? A. piecewise function B. greatest integer function C. step function D. absolute value function Hint 17. Which is the graph of the inequality y > |2x + 1| ? A. B. C. D. Hint 18. Which of the following describes the system of equations x - 3y + 2 = 0 and 2x - 6y + 4 = 0? A. Inconsistent B. Consistent and independent C. Consistent and dependent D. none of these Hint 19. Find the inverse of . A. B. C. D. Hint 20. 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. For the equation l(x, y) = 30x + 70y find the maximum interest if the vertices are (3,5), (3,7) and (5,5) A. no maximum B. 500 C. 580 D. 440 Hint