SAT Pastpaper with Solutions

The function f is defined by f(x)=,where a,b,and n are constants, and b and n are integers.If f(3)=6 and f(5)=150, what is the value of f(6) ?

Right rectangular prism X is similar to right rectangular prism Y. The surface are 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 r 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 figure, LQ intersects MP at point R and LM is parallel to PQ.The lengths of MR and RP are 8 and 14 units, respectively.The area of ∆LMR is 36 square units.What is the area of ∆PQR,in square units?

The graph of y = f(x)＋4 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 7 and 10, which inequality represents the possible lengths, x, of the third side of the triangle?

The table shows three values of x and their corresponding values of y. Where s is a constant.There is a linear relationship between x and y. which of the following equations represents this relationship ?

The function f is a quadratic function.In the xy-plane, the graph of y= f(x) has a vertex at (1, 4) and passes through the points (2,27) and (-1,96). what is the value of f(-2) - f(0) ?

The function F gives the temperature, in degrees Fahrenheit, that corresponds to a temperature of x kelvins. If a temperature increased by 7.70 kelvins, by how much did the temperature increase,in degrees Fahrenheit?
F(x)=(x-273.15)+32

The positive number a is 2,136% of the sum of the positive numbers b and c, and b is 89% of c. what percent of b is a?

For the linear function p.p(c)=- 5, where c is a constant, p(3)= 23, and the slope of the graph of g= p(x) in the xy-plane is 7.For the linear function t,t(c)=- 6 and t(4)= 34. What is the slope of the graph of y= t(x) in the xy-plane?

In right triangle ABC , angles A and B are acute, side AC has a length of 28.2, and tan B= . what is the length of side BC, rounded to the nearest tenth ?

The functions f and g are defined by the given equations. what is the value of f(-10)?
f(x)=5(g(x))-3
g(x)=|12x-7|

At a convention center, there are a total of 225 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 s 0.76 ,and the probability of selecting a visitor who is located in room B is 0.2 .How many
visitors are located in room c ?

For x> 0.the function f is defined as follows: f(x) equals 293% of x .Which of the following could describe this function?

A rectangle has a length that is 45 times its width. The function y = (45w)(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 45w in this context?

Audrey's hair will grow at a constant rate from a length of 7 inches to a length of ll inches.The equation 0.6t +7= 11 describes this situation, where t is the number of months it will take for Audrey's hair to reach a length of 11 inches.Which of the following is the best interpretation of 0.6 in this context ?

A certain elephant calf weighed 226 pounds when it was born. The elephant calf gained an average of 3 pounds per day in its first year of life.which equation models this situation,where y is the estimated weight of the elephant calf, in pounds, x days after it was born?

which ordered pair (x,y) is a solution to the given system of equations?
Y=3x+13
y=3x²+13