1. A bag contains exactly 7 marbles, each with number on it: 4 red marbles numbered 1, 2, 3, and 4; and 3 black marbles numbered 1, 2, and 3. One marble will be selected at random from the bag. What is the probability that the marble selected will be an odd-numbered red marble?
2. Given p = 40 and q = −12, p + q is equal to the product of −4 and what number?
3. In triangle ABC, ∠A and ∠C are congruent, and the measure of ∠B is 93.5°. What is the measure of ∠A?
4. Ken is paid a regular hourly wage of $15 per hour, before taxes and benefits are deducted, for working up to and including 40 hours in 1 week. For each additional hour he works in a week, Ken is paid 2 times his regular hourly wage. Ken worked 44 hours this week. What was his pay for this week before taxes and benefits were deducted?
5. What is the length, in inches, of the hypotenuse of a right triangle with a leg that is 7 inches long and a leg that is 4 inches long?
6. Given 3x−7 = 8x−16 is true, x=?
7. As shown in the figure below, points A, B, and D lie on a line. The measure of angle ABC (m∠ABC) is x°, and m∠CBD is (5x + 4)°. Which of the following equations is true?
8. A restaurant currently has an outdoor rectangular dining section measuring 30 feet by 40 feet. The shorter sides will be increased by 10 feet each, resulting in a larger rectangular dining section. What is the positive difference, in square feet, between the areas of the resulting and current dining sections?
9. What is the value of |−4|−|6 − 29|?
10. Christopher works in a clothing store. He earns $7.50 per hour, plus 6% of his sales. Which of the following expressions gives Christopher’s earnings, in dollars, when he works x hours and has y dollars in sales?
11. For line RT shown below, point S is on RT, the length of RS is 8cm, and the length of ST is 20cm. What is the distance, in centimeters, between T and the midpoint of RS?
12. A conference presenter earned $48.50 for attending a conference and $15.35 per hour for the hours she spent preparing for her presentation. Let y be the amount of money, in dollars, earned by the presenter when she spent x hours preparing for her presentation. Which of the following equations gives the relationship between x and y?
13. Ben and Shawnee are painting a room in the library. They started with 7 gallons of paint. On the first day, Ben used 3/4 gallon of paint and Shawnee used 1/2 gallon of paint. How many gallons of paint were left when they completed their first day of painting?
14. If x=−4, then −5 + (9x / x^2−9x) =?
15. In the standard (x,y) coordinate plane, what is the slope of the line represented by the equation y=4x+2?
16. The trinomial x^2 + 11x + 24 can be factored into 2 binomials with positive integer coefficients. Which of the following binomials is 1 of the factors?
17. Which of the following matrices is equal to 4 3−2 64?
18. Point P(5,−1), which is graphed in the standard (x,y) coordinate plane below, will be reflected across the x-axis. What will be the coordinates of the image of P?
19. Given that x ≤ 2 and x + y ≥ 6, what is the LEAST value that y can have?
20. A square vegetable garden is built in a rectangular 50-meter-by-40-meter lawn. The lengths of the sides of the garden are 5 meters. What area of the lawn, in square meters, is outside of the vegetable garden?
21. The distance of the longest jump of each of the participants in a long jump competition is given in the stem-and-leaf plot. What is the probability that a long jump participant chosen at random from the competition will have jumped at least 75 inches?