1. Given x=5, y=3, and z=−6, (x+y−z)(y+z) =?
2. Each student attending the East Central High School preprom dinner must choose 1 item from each of 3 categories: entrée, side dish, and beverage. There are 3 entrée choices, 4 side dish choices, and 2 beverage choices. How many different dinner combinations for each student are possible?
3. A bag contains 13 solid-colored marbles: 3 red, 5 white, 4 black, and 1 yellow. If only 1 marble is selected, what is the probability of randomly selecting 1 marble that is NOT black?
4. Sam works at Glendale Hospital and earns $12 per hour for the first 40 hours and $18 per hour for every additional hour he works each week. Last week, Sam earned $570. To the nearest whole number, how many hours did he work?
5. In the figure below, AB is congruent to BC, and AE intersects BF at C. What is the measure of ∠B?
6. The dimensions, in feet, of a standard tennis court are shown in the figure below. All lines that meet in the figure do so at right angles. Which of the following values is closest to the area, in square feet, of the service box shown shaded?
7. In scientific notation, what is the product of 3 and 0.000,000,72?
8. If f(x) =(4x+3)², then f(1) =?
9. Regular octagon ABCDEFGH is inscribed in a circle. The sector of the circle bounded by radii AJ and DJ and by AD is shaded. The area of the shaded sector is what fraction of the area of the circle?
10. The expression (2x+3)(5x−6) is equivalent to:
11. A cake recipe requires _5_ cup of flour. Mary and Haloa decide to make the cake together. Mary has _1_ cup of flour and Haloa has _1_ cup of flour. How many more cups of flour do they need to make the cake?
12. Coach Shannon is buying packages of granola bars, juice boxes, and apples as snacks for her soccer team. What is the minimum total price of the snacks, all bought in whole packages, Coach Shannon buys so that each of the 15 girls on the team gets at least 1 snack of each type?
13. Given functions f(x)=5x+1 and g(x)=x²−2, what is the value of f_g(−3)+?
14. For 7y = 2x − 5, which of the following expressions gives x in terms of y?
15. For an angle with measure α in a right triangle, sin,α= _4_ and tan,α= _4_. What is the value of cos,α?
16. A scale drawing of a proposed trapezoidal landscape design is shown in the figure below, with the given dimensions in meters. What is the area, in square meters, that will be black rock?
17. One construction sign flashes every 6 seconds, and another construction sign flashes every 10 seconds. How many seconds elapse until the 2 signs next flash at the same time?
18. Which of the following expressions is equivalent to 4x²+8x−12?
19. A person’s vertical jump is the difference between the maximum height the person can reach at the top of a jump and the maximum height the person can reach when standing. What is Donald’s vertical jump?
20. Given that Jocelyn becomes a member of TrimTime on July 1 and that she pays all monthly fees on time, what total amount will Jocelyn have paid to the gym by September 2 of that year?
21. Before October 1, Felix had paid all 7 of his monthly gym fees on time. He will make his next gym payment on October 4. What total amount must Felix pay on October 4 so that his gym account will be paid in full?
22. Another gym, Good-As-New, has a sign-up fee equal to the mean of all the sign-up fees in the table. What is the sign-up fee for Good-As-New?
23. The dimensions, in inches, of 2 rectangular prisms are shown in the figure below. The volume of the large prism is the same as the volume of how many of the small prisms?
24. For what real number value of x is the equation 1/64 = 2^x true?
25. Suppose that the 8 identical faces of a regular octahedron, like the one shown below, are numbered from 11 through 18, with 1 number per face, and each face is equally likely to land down when the octahedron is tossed. What is the probability that, on 1 toss of this octahedron, the number on the face landing down is a prime number or an even number?
26. In triangle RST below, U is a point on RT such that SU is an angle bisector of ∠RST. What is m∠R?
27. A lawn-and-garden store sells 2 types of grass seed: shade and sun. The numbers of bags sold on Friday and Saturday last week are given in matrix A; the selling price per bag and the profit per bag are given in matrix B. What is the total profit for the sale of the 2 types of grass seed sold on Friday and Saturday?
28. What real value of x satisfies the equation 36^(x−1) = 6?
29. In right triangle ABC shown below, AB=9 units and BC=12 units. What is sin A?
30. What is the area, in square coordinate units, of quadrilateral ABCD?
31. What is the perimeter, in coordinate units, of quadrilateral ABCD?
32. What are the coordinates of the image of point B resulting from a rotation of 180° about the origin?
33. Which of the following expressions is equivalent to (x^2 + 4x - 12) / (x^2 - 36) for x^2 - 36 ≠ 0?
34. The rectangular top surface of a patio is 4 feet longer than it is wide and has an area of 192 square feet. What is the width, in feet, of the rectangular top surface of the patio?
35. In the standard (x,y) coordinate plane, what is the slope of the line that contains (−2,−2) and has a y-intercept of 1?
36. Veronica delivers 27 copies of the News Report and 22 copies of the City Times to 38 of the 40 houses on Oakland Street. No house receives more than 1 copy of each newspaper. How many houses receive both newspapers?
37. ⎪−3⎪+⎪−5⎪(7 −3) =?
38. Julia, an archaeology student, needs to dig 6 cylindrical pits at an archaeological site. Each pit will be 8 feet in diameter and 6 feet deep. Which of the following values is closest to the number of hours it will take Julia to dig all 6 pits?
39. What is the median of the numbers of blue candies in the 14 packages?
40. In certain years, July, a month with 31 days, has exactly 4 Mondays and 4 Fridays. The first of July in those years will be on:
41. Ms. Siochi has a rectangular lot with a perimeter of 100 meters. She paid $2,420.00 for fencing to install along the entire perimeter. How much did Ms. Siochi pay per meter for the decorative fencing?