SAT Pastpaper with Solutions

The function f is defined by ,where a<0.What is the product of f(17a) and f(8a) ?

The perimeter of an equilateral triangle is 831 centimeters.The three vertices of the triangle lie on a circle.The radius of the circle is centimeters.What is the value of w ?

In triangle ABC,the measure of angle A is 58 ° and AC =30.In triangle PQR , the measure of angle P is 58 ° and PR=120.Which additional piece of information is sufficient to prove that triangle ABC is similar to triangle PQR?

In the given system of equations,c is a constant. The system has two distinct real solutions.Which of the following could be the value of c?
y=x-c
y=-6(x-12)²

A square map has a side length of 35 inches, and 1 inch on the map represents an actual distance of 13 miles.A smaller version of the same map is printed as a square with the side length 75% shorter than the side length of the previous map.On the smaller map,which of the following is closest to the actual distance,in miles, represented by 1 inch?

The edge length,in inches,of cube Y is the edge length,in inches,of cube X.The surface area,in square inches,of cube Y is n times the surface area, in square inches,of cube X.What is the value of n?

The shaded region shown represents the solutions to rx+ty≥-36,where r and t are constants.What is the value of r+t ?

The graph shows a linear relationship between x and y.Which equation represents this relationship, where R is a positive constant?

For the linear function p,p(c)=-2,where c is a constant,p(4)=38,and the slope of the graph of y = p(x) in the xy-plane is 8.For the linear function t,t(c) = -3 and t(5) = 51.What is the slope of the graph of y = t(x) in the xy-plane?

To study fluctuations in leaf water potential, samples of wood were taken from 25 trees and cut in the shape of a cube. The length of the edge of one of these cubes is 3.000 centimeters. This cube has a density of 0.170 grams per cubic centimeter.What is the mass of this cube, in grams?

In 8 days, a polar bear ate 34.4 pounds of fat. Which equation describes the amount of fat y, in pounds, the polar bear ate in these 8 days?

A rectangle has a length that is 49 times its width.The function y = (49w)(w) represents this situation,where y is the area,in square feet,of the rectangle and y > 0.which of the following is the best interpretation of 49w in this context?

The shaded region shown represents solutions to an inequality.Which ordered pair (x,y) is a solution to this inequality ?

The given equation relates the positive numbers q,r and s.Which equation correctly expresses q in terms of r and s ?
q-34r=s

A marine biologist uses a linear model to estimate the weight of a blue whale after it is born.The model estimates that a certain blue whale weighs 5,710 pounds at birth and gains 10.0 pounds per hour,for 120 hours, after it is born. Based on this model, what is the estimated weight, in pounds, of this blue whale 7 hours after it is born?

In one week in 2017,a technician earned a total of $716 by working at her regular job and t a second job doing part-time work.The equation20h+14c=716 represents this situation,where h is the number of hours worked at her regular job and c is the number of hours worked at her second job.Which of the following is the best interpretation of 20 in this context?