Math 10

Question 1:

Jamie has a red jacket, a blue jacket, and a green jacket. She also has 4 different pairs of shoes. How many different outfits can she have if she wears one jacket and one pair of shoes?

Question 2:

What is the largest integer value of x for which there exists a positive integer, y, such that x² + y² = 169?

Question 3:

A square and a regular pentagon (a 5-sided polygon with all sides and interior angles congruent) have the same perimeter. If one side of the pentagon is 60, what is the area of the square?

Question 4:

Which of the following is closest to the value of x?
(Note: sin 42°=.669, cos 42° = .743, tan 42° = .900)

Question 5:

Given f(x) = x² + 2x + 2, what is f(x+h)?

Question 6:

In the figure shown, AB = BC and segment AC is the diameter of the circle with length 12. What is the area of triangle ABC?

Question 7:

[Non-Calculator] If (4/7)x = 2/3, what is the value of x?

Question 8:

[Calculator Allowed] A car enters a downhill road that drops 5 meters in elevation every 50 meters it travels on the road. The road starts at an elevation of 1,500 meters, and the car is traveling a constant speed of 12 meters per second on the road. What is the elevation of the road, in meters, at the point where the car passes s seconds after entering the road?