Algebra

If x(2x + 1) = 0 and (x + 1/2)(2x - 3) = 0, then x =

A total of s oranges are to be packaged in boxes that will hold r oranges each, with no oranges left over. When n of these boxes have been completely filled, what is the number of boxes that remain to be filled?

If xy ≠ 0 and x 2 y 2 − x y = 6 , which of the following could be y in terms of x?

If k is a positive integer, what is the remainder when (k + 2)(k^3 – k) is divided by 6 ?

Jackie has two solutions that are 2 percent sulfuric acid and 12 percent sulfuric acid by volume, respectively. If these solutions are mixed in appropriate quantities to produce 60 liters of a solution that is 5 percent sulfuric acid, approximately how many liters of the 2 percent solution will be required?

Thabo owns exactly 140 books, and each book is either paperback fiction, paperback nonfiction, or hardcover nonfiction. If he owns 20 more paperback nonfiction books than hardcover nonfiction books, and twice as many paperback fiction books as paperback nonfiction books, how many hardcover books nonfiction books does Thabo own?

If x and y are positive numbers such that x + y = 1, which of the following could be the value of 100x + 200y?

A collection of 16 coins, each with a face value of either 10 cents or 25 cents, has a total face value of $2.35. How many of the coins have a face value of 25 cents?

If f = 3 r (s 1000) 2 and s = 2000 , what is r in terms of f ?

If p ≠ 0 and p – (1 – p 2) p = r p , then r =

If 2x + y = 7 and x + 2y = 5, then (x + y)/3 =

Which of the following equations has 1 + √2 as one of its roots?

If 5 − 6 x = x , then x has how many possible values?

If s > 0 and r s √ = s , what is r in terms of s ?

Which of the following expressions can be written as an integer?

If x/y = c/d and d/c = b/a, which of the following must be true?

If k and n are positive integers such that n > k, then k ! + (n − k) * (k − 1) ! is equivalent to which of the following?

According to a certain estimate, the depth N(t), in centimeters, of the water in a certain tank at t hours past 2:00 in the morning is given by N (t) = − 20 (t − 5) 2 + 500 for 0 ≤ t ≤ 10 . According to this estimate, at what time in the morning does the depth of the water in the tank reach its maximum?

If mn ≠ 0 and 25 percent of n equals 37 1 2 percent of m, what is the value of 12 n m ?

If z ≠ 0 and z + 1 − 2 z 2 z = w z , then w =