SAT Pastpaper with Solutions

For the linear function f, the graph of y = f(x) in the xy-plane has a slope of   and passes through the point (0,7). Which equation defines f?

The function f is defined by  . What is the value of f(36)?

For the given equation, which table gives three values of x and their corresponding values of y?
5x - 4y = -60

A geologist estimates that the volume of a boulder is greater than 14.6 cubic feet but less than 18.6 cubic feet. The geologist also estimates that the boulder weighs 160 pounds per cubic foot of volume.
Which inequality represents this situation, where x represents the estimated total weight, in pounds, of the boulder?

A rectangular region of land is divided into 88 square lots of equal area R, in square units. The length of the region is 5.5 times the width of the region. If the width of the region is   units, what is the value of x?

If 48 = 18 + 2(x - 9), what is the value of 2(x - 9)?

In triangle  ABC, the measure of angle A is  53°, the measure of angle B is  90°, and the measure of angle C is . What is the value of k?

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

The expression 54y⁵ - 36y⁴  is equivalent to ry⁴(9y - 6), where r is a constant. What is the value of r?

The equation gives the estimated stock price y, in dollars, for a certain company x days after the company went public, where 0 ≤ x ≤ 20, which statement is the best interpretation of (x,y) = (1,70) in this context?
y = 0.25x² - 7.5x + 77.25

The total mass, in kilograms, of r identical objects is t. Which expression represents the total mass, in kilograms, of 112r of these objects?

If   , what is the value of  6x²?

The function w models the volume of water, in milliliters, in a container t seconds after it begins draining from a hole at the bottom. According to the model, what is the predicted volume, in milliliters, draining from the container each second?

w(t) = 600 - 3t

Line k is shown in the xy-plane. Line j (not shown) is perpendicular to line k. What is the slope of line j?

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 539.33 degrees Fahrenheit, what is the corresponding temperature, in kelvins, of this substance?

A circle in the xy-plane has its center at (19,16) and has a radius of 8k. Which equation represents this circle?

In the triangle shown, , what is the value of  ?

Parallelogram ABCD is similar to parallelogram PQRS. The length of each side of parallelogram PQRS is 2 times the length of its corresponding side of parallelogram ABCD. The area of parallelogram ABCD is 30 square centimeters. What is the area, in square centimeters, of parallelogram PQRS?

The function r is defined by the given equation. The function s is defined by s(t) = r(t)+ 1, which expression represents the maximum value of s(t)?