1. and are similar. Find x if z = 3, a = 6, and c = 4.5. A. 9 B. 2.25 C. 7.5 D. 4 Hint 2. What is the probability of selecting a red or yellow marble from a bag that contains 20 red marbles, 15 yellow marbles, and 35 green marbles? A. B. C. D. 1:1 Hint 3. Write an equation for {(5, 2), (0, 12), (1, 10), (-2, 16)} A. y = x + 12 B. y = x + 9 C. y = 2x - 12 D. y = -2x + 12 Hint 4. Determine the value of r so that the line through (5, 2) and (7, r) has a slope of . A. 1 B. 2 C. 6 D. 3 Hint 5. What is implied when it is said that x and y have a negative correlation? A. When the value of x increases, the value of y does not necessarily increase or decrease. B. When the value of x increases, the value of y increases. C. When the value of x increases, the value of y decreases. D. When the value of x is negative, the value of y negative. Hint 6. Brenda and Amparo left their homes for their morning runs at the same time. Brenda can run a 10-minute mile and Amparo can run a 12-minute mile. Combined, they ran 15 miles in a total of 2 hours and 42 minutes (162 minutes). How many miles did each woman run? A. Brenda ran 10 miles; Amparo ran 5 miles B. Brenda ran 9 miles; Amparo ran 6 miles C. Brenda ran 8 miles; Amparo ran 7 miles D. Brenda ran 11 miles; Amparo ran 4 miles. Hint 7. Simplify Assume the denominator is not equal to zero. A. 1 B. 5xy2 C. D. 5xy8 Hint 8. Find –8x3y2(3xy4 – 2x5 – y). A. –5x4y6 - 10x8y2 - 9x3y3 B. –24x4y6 - 16x8y2 + 8x3y3 C. –24x4y6 + 16x8y2 + 8x3y3 D. –24x4y6 + 16x15y2 + 8x3y3 Hint 9. Express in simplest form. A. B. 2 C. D. Hint 10. In a right triangle, the length c of the hypotenuse is 14 and the length b of one of the legs is 8. Find the length a of the other leg to the nearest hundredth. A. 21.23 B. 11.49 C. 19.88 D. 16.12 Hint 11. The circle graph shows the percent of Ms. Jackson's students who earned an ''A'' for each of the four grading periods during a school year. If Ms. Jackson taught 150 total students, how many students earned an ''A'' during the second quarter? A. 15 B. 60 C. 48 D. 27 Hint 12. A weather forecaster states that the probability of rain is 30%. What are the odds that it will rain? A. B. C. D. Hint 13. Parallelogram WXYZ has vertices W(2, -2), X(6, -2), Y(3, -5), and Z(-1, -5). Find the coordinates of the vertices of the image if the parallelogram is translated 4 units to the left and 7 units up. A. W´(6, 5), X´(10, 5), Y´(7, 2), Z´(3, 2) B. W´(-2, -9), X´(2, -9), Y´(-1, -12), Z´(-5, -12) C. W´(-2, 5), X´(2, 5), Y´(-1, 2), Z´(-5, 2) D. W´(6, -9), X´(10, -9), Y´(7, -12), Z´(3, -12) Hint 14. Which relationship would most likely have no correlation? A. The number of pizzas ordered, and the total price of the bill. B. A person's age, and the address of the person. C. A person's height and the person's shoe size. D. The number of miles driven, and the number of gallons of gas in the car. Hint 15. Solve A. B. C. or D. or Hint 16. Use elimination to solve the system of equations given by 7x + 23y = 12 and 3x + 23y = -8. A. infinitely many solutions B. (5, -1) C. D. no solution Hint 17. Given the coordinates (0, 3), (1, 11), (2, 19), (3, 27), would a graph of these points exhibit exponential behavior? A. no, it would display linear behavior B. yes, exponential behavior only C. no, it would not display exponential or linear behavior D. yes, exponential and linear behavior Hint 18. State the excluded value(s) of . A. –4, 3, 2 B. –4 C. –4, , 2 D. , 2 Hint 19. Find . A. B. C. D. Hint 20. Solve . A. –2 B. 2 C. no solution D. {2, –2} Hint