Đề thi Olympic Tiếng Anh lớp 9 vòng 33 năm 2013 - 2014

Solve for x: - 1/2 × ∣2x + 6∣ + 2 = 0

A patient was given medicine for pain. The graph represents the level of pain as a function of time after taking the medicine. Which type of function best models the pain level as a function of time?

Which circle has the smallest area?

The first five terms of an arithmetic sequence of numbers are –3, 2, 7, 12, 17. Which expression represents the nth term of this sequence?

Which graph best represents no correlation between the length of a person’s hair and the person’s height?

The profit (P), in dollars, for a company is modeled by the function P(x) = -750x2 + 15,000x, where x is the number of items produced. For which values of x will the company lose money?

What are the vertical and horizontal asymptotes of the function f(x) = (1 - x²)/(x² - 4)

In which direction is the graph of f(x) = 5/( x + b ) translated when b increases?

A company that manufactures jeans estimates that the profit for selling a particular style is given by the equation: P = -250x3 + 1,505x2 − 300, for 0 < x < 6 where P is profit in tens of thousands of dollars and x is the advertising expense in tens of thousands of dollars. What does an x-intercept mean in the context of the problem?

Foxes were released into a national park. The population, P, of the group is given by the equation P = 20(5 + 3t)/(1 + 0.04t), where t is the number of years after the release. What is the population of foxes after 50 years?