1. Marcus’s favorite casserole recipe requires 3 eggs and makes 6 servings. Marcus will modify the recipe by using 5 eggs and increasing all other ingredients in the recipe proportionally. What is the total number of servings the modified recipe will make?
2. The 35-member History Club is meeting to choose a student government representative. The members decide that the representative, who will be chosen at random, CANNOT be any of the 3 officers of the club. What is the probability that Hiroko, who is a member of the club but NOT an officer, will be chosen?
3. For what value of x is the equation 22x + 7 = 215 true?
4. Let the function f be defined as f(x) = 5x² - 7(4x + 3). What is the value of f(3)?
5. When x = 1/2, what is the value of (x - 3)/(2x)?
6. In parallelogram ABCD below, AC is a diagonal, the measure of ∠ABC is 40°, and the measure of ∠ACD is 57°. What is the measure of ∠CAD?
7. In the standard (x,y) coordinate plane, what is the midpoint of the line segment that has endpoints (3,8) and (1,-4)?
8. The fluctuation of water depth at a pier is shown in the figure below. One of the following values gives the positive difference, in feet, between the greatest water depth and the least water depth shown in this graph. Which value is it?
9. What is the slope of the line through (−2,1) and (2,−5) in the standard (x,y) coordinate plane?
10. In Cherokee County, the fine for speeding is $17 for each mile per hour the driver is traveling over the posted speed limit. Kirk was fined $221 for speeding on a road with a posted speed limit of 30mph. Kirk was fined for traveling at what speed, in miles per hour?
11. What is the sum of the solutions of the 2 equations below? 8x=12, 2y+10=22
12. The average of 5 distinct scores has the same value as the median of the 5 scores. The sum of the 5 scores is 420. What is the sum of the 4 scores that are NOT the median?
13. What is the value of the expression below? |−8 +4| −|3 −9|
14. Which of the following expressions is equivalent to x²?
15. In the standard (x,y) coordinate plane, what is the slope of the line given by the equation 4x=7y+5?
16. The length of a rectangle is 5 inches longer than the width. The perimeter of the rectangle is 40 inches. What is the width of the rectangle, in inches?
17. 8% of 60 is 1 of what number?
18. Armin is trying to decide whether to buy a season pass to his college basketball team’s 20 home games this season. The cost of an individual ticket is $14, and the cost of a season pass is $175. What is the minimum number of home basketball games Armin must attend this season in order for the cost of a season pass to be less than the total cost of buying an individual ticket for each game he attends?
19. What is 4.8 × 10^−7 = ?