___________ 21. In tossing three fair coins, what is the probability of getting at least two
heads?
___________ 22. What is P(x) if (2x+1) P(x) + (3x-1) (2x+1) = 2𝑥 2 + 5x + 2?
___________ 23. Factor completely: 26𝑎2 𝑏 2– 12𝑎3 b – 12a𝑏 3 .
___________ 24. If 3a -
2
2
1+
𝑥
𝑃(𝑥)
= 𝑄(𝑥), where P(x) and Q(x) are polynomials, what is P(x) + Q(x)?
___________ 25. In the sequence 7,6,3,9,2,…., each term after the second is equal to the units
digit of the sum of the two preceding terms. What is the 2018th term?
___________ 26. The vertices of a triangle have coordinates (-2,3), (1,-2), and (6,2). Is the
triangle equilateral, isosceles, or scalene?
___________ 27. The point (h,-6) is equidistant to both points (2,2) and (7,-1). What is h?
___________ 28. The lines 3y = 2x + 12 and 3x + y + 7 = 0 intersect at (h,k). What is h + 4k?
___________ 29. For what values of x is the inequality 2𝑥 2 <7x true?
5
___________ 30. If 𝐿11
4 is 50% larger than 𝐿2 , what is 50% of L?