SAT Pastpaper with Solutions

The function f is defined by ,where a<0.What is the product of f(15a) and f(8a) ?

The perimeter of an equilateral triangle is 876 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 52° and AC = 35. In triangle PQR, the measure of angle P is 52° and PR = 105. 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=-4(x-8)²

A square map has a side length of 55 inches, and 1 inch on the map represents an actual distance of 21 miles. A smaller version of the same map is printed as a square with the side length 70% 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 function f is defined by f(x)= 6x + 14. What is the y-coordinate of the y intercept of the graph of y = f(x) in the xy-plane?

A cooking school is offering a promotion where the first class is free, the second class is half off the regular price, and the remaining classes are regularly priced. If the regular price of a class is $22.80, which function f gives the total cost, in dollars, of x classes taken using this promotion,where x >2?

One of the two equations in a system of linear equations is given. The system has no solution. Which equation could be the second equation in this system?
3x=45y-27

The shaded region shown represents the solutions to rx + ty ≥-77,Where r and t are constants.What is the value of r + t?

The function f is defined by,where k is a constant.If y=
f(x) is graphed in the xy-plane, what is the y-coordinate of the y-intercept of the graph?

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

To study fluctuations in leaf water potential, samples of wood were taken from 21 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 0.320 grams per cubic centimeter. What is the mass of this cube, in grams?

The solution to the given system of equations is (x,y).What is the value of x+y ?
7y=- 6x+2,550
24x-28y=1,800

An object is launched from a height of 121 feet above the ground. A quadratic function f models the height above the ground, in feet, of the object t seconds after it is launched According to the model, 2 seconds after the object is launched, it reaches a maximum height 185 feet above the ground. Which equation defines f ?

At a convention center, there are a total of 375 visitors. Each visitor is located in either room A, room B, or room C.If one of these visitors is selected at random, the probability of selecting a visitor who is located in room A is 0.68, and the probability of selecting a visitor who is located in room B is 0.24. How many
visitors are located in room C ?

The function T estimates the temperature, in degrees Fahrenheit (°F), in a certain city one day in January, where x is the number of hours after 10 a.m. and 1≤x≤5. According to the function, what wasthe estimated decrease in temperature each hour, in °F, in this city during this time period ?
T(x)=67-8x

A rectangle has a length that is 92 times its width. The function y = (92w)(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 92w in this context?

In the linear function f, f(0) = 2 and f(7) = 2.Which equation defines f ?