SAT MATH PREPARATION VIDEOS
(Part - 4)

Problem 1 :

In a right triangle, one of the angles is x°, if tan x° = 5/12, what is the value of sin x°?

Solution :

Problem 2 :

Dawson needs to measure the height of a building near his house. He chooses a point P on the ground where he can visually align the roof of his car with the edge of the building roof. The height of the car is 4 feet and the distance from point P to Q is 10 feet, as shown in the figure above. If the distance from point Q to point R is 80 feet, and the height of the building is k feet, what is the value of k?

Solution :

Problem 3 :

If a(x + 1) + b(x - 1) = 7x for all real number x, where a and b are constants, what is the value of a?

Solution :

Problem 4 :

According to the formula p = (⅔)k + 81, if trhe value of p is increased by 16, by how much does the value of k increase?

Solution :

Problem 5 :

x² + y² = 56

y = √x

According to the system of equations above, what is the value of x?

Solution :

Problem 5 :

A parabola represents the graph of the function f in the xy-plane, where y = f(x). If the vertex of the parabola is (5, –4) and one of the x-intercepts is (–1.5, 0), what is the other x-intercept?

A) (-6.5, 0)

B) (1.5, 0)

C) (3.5, 0)

D) (11.5, 0)

Solution :