SAT Pastpaper with Solutions

In triangle RST, the measure of angle R is 39°,the measure of angle S is x°,and the measure of angle T is (5x-3)°.Point L lies on RS, point K lies on ST,and LK is parallel to RT.What is the measure,in degrees,of angle SKL ?(Disregard the degree symbol when entering your answer)

A researcher observes a sample of a nuclide.An exponential model estimates that the mass，in grams，of the sample decrease by 24% every 22.96 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 ?

The difference between the measure of angle A and the measure of angle B is radians.Which expression shows the difference between the measure of angle A and the measure of angle B,in degrees?

school is ordering tablet computers for its students.The tablets cost $170 each, and 7% tax is added to the total cost of the order If the school can spend no more than 53,400 dollars on the tablets, including tax,what is the maximum number of tablets that the school can order?

The function m is defined by m(x) = 5x + 3,and the function p is defined by p(x) = 3-x .What is the value of 2m(3)- p(3) ?

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 0.280 grams per cubic centimeter. What is the mass of this cube, in grams?

Which table gives four values of a and their corresponding values of f(a) for the given exponential function?

Line t is defined by .Line s is perpendicular to line t in the xy-plane.What is the slope of line s

At a convention center,there are a total of 275 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 ?

Which expression is equivalent to ,where y>1 ?

At what point (x, y) do the graphs of the equations y = 5x+ 9 and y=7x - 1 intersect in the xy-plane?

Rachel is planning a road trip and wants to rent a car. The car rental company charges a base fee of $10 plus $0.55 per mile driven. Christopher has budgeted $200 for the car rental.Which inequality represents the number of miles, m , that Christopher can pay for no more than $200 ?

A line segment that has a length of 171 centimeters (cm) is divided into three parts. One part is 97 cm long.The other two parts have lengths that are equal to each other What is the length, in cm, of one of the other two parts of equal length?

The expression 7x⁶+9x⁶-8x⁶ is equivalent to bx⁶,where bis a constant.What is the value of b?

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

The width of a rectangle is 8 centimeters.The length of the rectangle is 50 centimeters longer than the width.What is the area,in square centimeters,of this rectangle ?

In the given system of equations, a is a positive integer constant.The system has no real solutions. What is the least possible value of a ?
y=- 0.5
y=x²+8x+a

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

In the given equation, k is a constant. The equation has infinitely many solutions. what is the value of k?
5x+105=5x+k

The equation gives the speed s, in miles per hour, of a certain car t seconds after it began to accelerate, what is the speed, in miles per hour, of the car 4 seconds after it began to accelerate?
S=20+2t