SAT Pastpaper with Solutions

The function f is defined by , where a,b and n are constants,and b and n are integers.If f(1)=5 and f(4)=135, what is the value of f(6) ?

In the given equation, k is an integer constant.If the equation has two distinct real solutions,what is the greatest possible value of k?
4

A circle in the xy-plane has its center at(-1,1) . Line t is tangent to this circle at the point (7,-6) .Which of the following points also lies on line t?

One of the factors of 2x³+16x²+30x is x+a ,where a is a positive constant,what is the smallest possible value of a ?

In a set of four consecutive odd integers, where the integers are ordered from least to greatest, the first integer is represented by x . The product of 25 and the third odd integer in the set is at most the value of 45 less than the sum of the first and fourth odd integers in the set.What is the greatest possible value of x ?

The figure shows a rectangular pool surrounded by a concrete path that is a feet (ft ) wide on all sides. The pool is 15 ft long and 12 ft wide. The area of the concrete path is 58 ft² .what is the value of x ?

In the figure, LQ intersects MP at point R and LM is parallel to PQ.The lengths of MR and RP are 6 and 20 units, respectively.The area of ∆LMR is 36 square units.What is the area of ∆PQR,in square units?

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 function F gives the temperature, in degrees Fahrenheit, that corresponds to a temperature of x kelvins. If a temperature increased by 14.30 kelvins, by how much did the temperature increase, in degrees Fahrenheit?
F(x)=(x-273.15)+32

The function f is defined by f(x)= 11x + 19. What is the y-coordinate of the y intercept of the graph of y = f(x) in the xy-plane?

A right circular cone has a base diameter of 34 inches and a height of 9 inches. The volume of this cone is kπ cubic inches. what is the value of k?

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 $24.80, which function f gives the total cost, in dollars, of x classes taken using this promotion,where x >2?

A researcher observes a sample of a nuclide.An exponential model estimates that the mass,in grams, of the sample decreases by 26% every 18.99 minutes. which of the following equations could represent this model, where M is the estimated mass, in grams, of the sample t minutes after the researcher began observing the sample?

In right triangle ABC, angles A and B are acute, side AC has a length of 29.7 , and tan B= .What is the length of side BC, rounded to the nearest length?

For the linear function f , the table shows three values of x and their corresponding values of f(x) . Which equation defines f ?

In the linear function f , f(0)= 9 and f(7)=9 . Which equation defines f?

The measure of an angle is (37)() π radians, where k is a constant. What is the measure of this angle, in degrees?

In one week in 2017, a technician earned a total of $480 by working at her regular job and at a second job doing part-time work. The equation 19h+8c = 700 represents this situation, where h is the number of hours worked at her regular fob and c is the number of hours worked at her second job. Which of the following is the best interpretation of 19 in this context?

For the function f defined by the equation shown, what is the value of f(-3) ?
F(x)=