1. The function f is defined below. f(x) = |x|. What is(are) the output value(s) of f(2)?
2. Quinn bought a tractor. He made an initial payment of $900. He then made 36 equal monthly payments. Quinn paid a total amount of $9,000 for the tractor. What was the amount of each of his monthly payments?
3. A new operation, ♦, is defined for 2 ordered pairs of integers as follows: (a,b) ♦ (c,d) = (ac + bd). What is the value of (4,3) ♦(1,2)?
4. To determine a student’s overall test score for the semester, Mr. Weintraub omits the lowest test score and calculates the average of the remaining test scores. Holly took all 5 tests and earned the following test scores in Mr. Weintraub’s class this semester: 71, 76, 81, 84, and 95. What overall test score did Holly earn in Mr. Weintraub’s class this semester?
5. A rectangular field measures 300 feet by 200 feet. A rectangular portion of the field measuring 225 feet by 175 feet is paved for a parking lot, and the rest of the field is left unpaved. How many square feet of the field are left unpaved?
6. All 26 students in a high school music department are enrolled in choir, band, or both. Of the 26 students, 14 are enrolled in choir and 18 are enrolled in band. How many are enrolled in both choir and band?
7. Jesse has 4 shirts, 8 pairs of jeans, and 4 coats, which all go together well. How many different outfits consisting of 1 of his 4 shirts, 1 of his 8 pairs of jeans, and 1 of his 4 coats are available for Jesse to wear?
8. What is the product of (3x + 2) and (3x - 2)?
9. Zhu has $25 to spend on camping supplies. Given that Zhu buys 1 hand broom, 1 rubber mallet, and 2 telescoping forks, what is the greatest number of tent stakes she can buy with her remaining money?
10. There were 425 students in the 10th grade at Hayes County High School this year. Of these students, 3/5 were enrolled in geometry. Of the students enrolled in geometry, 1/5 earned a grade of A in geometry this year. How many of the geometry students earned a grade of A in geometry this year?
11. A circle centered at F with a diameter of EB is shown below. What is the measure, in degrees, of ∠DEA?
12. Which of the following expressions gives the number of revolutions a tire with a diameter of d feet will make in a trip m miles long?
13. Which of the following matrices is equal to 3?
14. A vertical rod 42 feet tall casts a shadow 14 feet long, and at the same time a nearby vertical flagpole casts a shadow 42 feet long. How many feet tall is the flagpole?
15. Which of the following (x,y) pairs is the solution for the system of equations x + 2y = 8 and -2x + y = 14?
16. Which of the following expressions is equivalent to x^2 - 13x + 30?
17. At what points does the circle with the equation x^2 + y^2 = 36 intersect the x-axis?
18. What is the probability 1 of the 1,000 vacuums was sold 3 or 4 months after it was manufactured?
19. In the figure below, what is the measure of ∠BED?
20. Let y be an irrational number. Which of the following statements about the value of 5y is true?
21. What are all the values of z that make the equation z² + z + 3 = 0 true?
22. What is the total surface area, in square coordinate units, of the pyramid?
23. Which (x,y) point is an intersection of y = f(x) and y = g(x)?
24. Which set does NOT contain the side lengths of a right triangle?
25. What is the range of f(x) defined by f(x)=−1/x−5 with domain −6 ≤ x ≤ 9?
26. What is the value of ab in the equation (10 − i) + (8 + 6i) = a + bi?
27. What is m∠ADC if AB is parallel to CE and m∠ABF = 30°?
28. What is the remainder when x⁷ − x⁶ − 2x⁴ + 2x³ + x − 1 is divided by x−1?
29. Given that 68% of the data are within 1 standard deviation of the mean, which intervals does this represent?
30. Which of the following is a hyperbola?
31. Which function exceeds the values of all listed functions as x approaches infinity?
32. What is the percent increase in Julia’s typing speed from the 1st day to the 99th day?
33. Which statements are true about Julia’s typing speed from the 49th day through the 99th day?
34. What is closest to the average rate of change of Shakir’s typing speed from the 1st to the 99th day?
35. Which graph represents rectangle ABCD after dilation?
36. What is the value of d if the line through (−1,1) with slope 2 contains (3,d)?
37. What is the output of f(x) after translating the parabola 3 units right?
38. What is cos(α) if point (−3,7) is on the terminal side of the angle?
39. Given that a < 0, b < 0, and |a| < 1, what can be said about a − b?