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(2)=6 and f(5)=162, what is the value of f(7) ?

Right rectangular prism X is similar to right rectangular prism Y. The surface area of the rectangular prism x is 59 square centimeters (cm²),and the surface area of right rectangular prism Y is 1,475 cm². The volume of right rectangular prism Y is 1,500 cubic centimeters (cm³). What is the sum of the volumes, in cm³ , of right rectangular prism x and right rectangular prism Y ?

In the given equation, u is a positive constant.The sum of the solutions to the equation is 1.What is the value of u ? 
7x²(4x-13)(4x-u)=0

A square map has a side length of 45 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 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 ?

A biologist is studying the growth of a bacteria culture. The population of the bacteria culture is modeled by the function:P(t)=P₀∙e^kt.At t=0,the population is 500bacteria.At t=2 hours,the population is 1,000 bacteria.What is the value of k
?(ln2≈0.6931)

The function f is a quadratic function.In the xy-plane, the graph of y= f(x ) has a vertex at (1,6) and passes through the points (2,40) and (-1,142).What is the value of f(-2)-f(0) ?

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 function f is defined by the given equation.If f(a)=-9a, where a is a constant, what is the value of a?
f(x)=

The shaded region shown represents the solutions to rx＋ty≥-44, where r and t are constants.hat is the value of r＋t?

For the linear function p.p(c)=-6, where c is a constant, p(5)= 42, and the slope of the graph of g = p(x) in the xy-plane is 8.For the linear function t,t(c)= -7and t(6) = 56.What is the slope of the graph of y = t(x) in the xy-plane?

Line k is defined by y = 8x +7.Line j is parallel to line k in the xy-plane and passes through the point (0,15).Which equation defines line j?

A researcher observes a sample of a nuclide.An exponential model estimates that the mass,in grams, of the sample decreases by 22% every 11.11 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 5 days, a polar bear ate 22.0 pounds of fat. which equation describes the amount of fat y. In pounds, the polar bear ate in these 5 days ?

The solution to the given system of equations is (x, y). What is the value of 2y ?
y=+6
y=+20

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 0.64, and the probability of selecting a visitor who is located in room B is 0.32.How many
visitors are located in room c?

In the figure shown, triangle CAE is similar to triangle CBD. The measure of angle CBD is 56°, and AE = 24(BD). what is the measure of angle ECA?

Which of the following lists represents a data set with the smallest standard deviation ?

In one week in 2017, a technician earned a total of $700 by working at her regular job and at a second job doing part-time work. Theequation 16h+13c = 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 16 in this context?

The graph shows the height above ground, in meters, of a ball xseconds after the ball was launched upward from a platform. which statement is the best interpretation of the marked point (1.0,3.9) in this context?