PSAT Math Practice Questions
3(x+y)=y What is the ratio of x:y if (x,y) is a solution and x doesn't equal 0? - Correct Answers--
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? - Correct
Answers-1,300 − 0.64t
What is the correct expanded version of this equation?
(s-t)(s/t) - Correct Answers-(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? - Correct Answers-−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? - Correct Answers-a − b +
c=1
What ordered pair (x, y) satisfies both equations y = +3 −4 x x 2 and x = −4 y ? - Correct
Answers-(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? - Correct Answers--3
3(x+y)=y What is the ratio of x:y if (x,y) is a solution and x doesn't equal 0? - Correct Answers--
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? - Correct
Answers-1,300 − 0.64t
What is the correct expanded version of this equation?
(s-t)(s/t) - Correct Answers-(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? - Correct Answers-−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? - Correct Answers-a − b +
c=1
What ordered pair (x, y) satisfies both equations y = +3 −4 x x 2 and x = −4 y ? - Correct
Answers-(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? - Correct Answers--3