SAT Pastpaper with Solutions

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

Right rectangular prism X is similar to right rectangular prism Y.The surface are rectangular prism X is 55 square centimeters (cm²), and the surface area of right rectangular prism Y is 880 cm².The volume of right rectangular prism r Y is 1,600 cubic centimeters (cm³ ). What is the sum of the volumes, in cm³, of right
rectangular prism X and right rectangular prism Y?

A circle in the xy-plane has its center at (-2,2).Line t is tangent to this circle at the point (3,-1).Which of the following points also lies on line t ?

The graph of y = f(x)+2 is shown .Which equation defines function f ?

The triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the length of the third side.If a triangle has side lengths of 10 and 12, which inequality represents the possible lengths, x, of the third side of the triangle?

A painting studio 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 $26.40, which function f gives the total cost, in dollars, of x classes taken using this promotion,where x≥2?

In the given equation,p>1 and t>1.If t=p^2n-1,where n is a constant,what is the value of n ?

The positive number a is 2,184% of the sum of the positive numbers b and c,and b is 84% of c.What percent of b is a ?

In the figure shown,WZ and XY intersect at point Q,YQ=27,WQ=90,WX=60,and XQ=110.What is the length of YZ ?

In the given equation, r is a positive integer. If the given equation has exactly one solution,what CANNOT be the value of r?
x(r-7)+3=17x+25

The equation gives the corresponding temperature h,in degrees Fahrenheit,of any substance that has a temperature of v kelvins,where v>0.If a substance has a temperature of 809.33 degrees Fahrenheit,what is the corresponding temperature,in kelvins,of this substance ?

The graph of y=f(x) is shown,where f(x)=ab^x+c, and a,b and c are constants.For how many values of x does f(x)=0 ?

An object is launched from a height of 124 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, 3 seconds after the object is launched, it reaches a maximum height 268 feet above the ground. Which equation defines f ?

The solution to the given system of equations is (x,y). What is the value of 2y ?

At a convention center, there are a total of 325 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 0.64 , and the probability of selecting a visitor who is located in room B is 0.32. How many  visitors are located in room C ?

The solution to the given system of equations is (x, y). What is the value of x?
x + 10 = -9y + 7
x - 10 = 9y + 9

One of the two equations in a system of linear equations is given.The system has infinitely many solutions. If the second equation in the system is y = mx + b, where m and b are constants, what is the value of b?

At what point (x,y) do the graphs of the equations y=3x+1 and y=4x-6 intersect in the xy-plane ?

The scatterplot shows the relationship between two variables,x and y.A line of best fit is also shown.Which of the following equations best represent the line of best fit shown?

In one week in 2017,a technician earned a total of $900 by working at her regular job and at a second job doing part-time work The equation 21h + 10c =900 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 21 in this context?