PSAT Math Practice

3(x+y)=y What is the ratio of x:y if (x,y) is a solution and x doesn't equal 0?

-2/3

A truck enters a stretch of road that drops 4 meters in elevation for every 100 meters along the length of the road. The road is at 1,300 meters elevation where the truck entered, and the truck is traveling at 16 meters per second along the road. What is the elevation of the road, in meters, at the point where the truck passes t seconds after entering the road?

1,300 − 0.64t

What is the correct expanded version of this equation?

(s-t)(s/t)

(s^2/t)-s

p(x) = 3(x2 + 10x + 5) − 5(x − k). In the polynomial p(x) defined above, k is a constant. If p(x) is divisible by x, what is the value of k?

−3

In the xy-plane, if the parabola with equation y = ax2 + bx + c, where a, b, and c are constants, passes through the point (−1, 1), which of the following must be true?

a − b + c = 1

What ordered pair (x, y) satisfies both equations y = +3 −4 x x 2 and x = −4 y ?

(2,6)

If the equation y =(x-6)(x+12) is graphed in the xy-plane, what is the x-coordinate of the parabola's vertex?

-3