SAT Pastpaper with Solutions

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

Lines p and q are graphed in the xy-plane. The graph of line p has a slope of and an x-intercept at (8,0). Line q is the result of translating the graph of line p up 3 units. What is the y-coordinate of the y-intercept of the graph of line q?

The table shows four values of x and their corresponding values of f(x) for the quadratic function f. Which of the following equations defines function f?

A line in the xy-plane passes through the points (9,2), (3,5), and (c,0). What is the value of c?

The given equation, where p and q are constants, has infinitely many solutions. If p < 0, what is the value of q?

If , the value of is between which of the following pairs of values?

Line a is graphed in the xy-plane and is defined by . If line b is perpendicular to line a, what is the slope of line b?

Packages in a warehouse are split into two groups. Group X contains 40 packages, and group Y contains 110 packages. If the mean mass of the packages in group X is 24 kilograms ( kg ), and the mean mass of the packages in group Y is 9 kg, what is the mean mass, in kg, of all 150 packages?

In the figure shown, line l intersects parallel lines j and k. If  and , what is the value of r?

The amount, in grams, of a certain radioactive isotope h hours after its initial creation is modeled by the function. According to the model, the amount of the isotope is predicted to increase by every 90 minutes. What is the value of c?

During the last business quarter, the number of unique visitors to a small e-commerce website decreased by from its previous average of 620 unique visitors each day. At the start of the upcoming quarter, the website will launch a promotion, and the resulting number of unique visitors per day is projected to be of the number of visitors last quarter. What is the projected average number of unique visitors per day the website will receive during its promotion?

The equation where m is a constant, has exactly one solution. Which of the following could be the value of ?

The function g is defined by the equation , where c and d are constants. The partial graph of y = g(x) is shown.
Which equation could define function h if ?

In the given equation, c is a constant. If the equation has exactly one solution, what is the value of c?

If the given system of equations has exactly one real solution, and c is a negative constant, what is the value of c?

An object's speed is increasing at a rate of 15.8 meters per minute squared. What is this rate, in miles per hour squared, rounded to the nearest tenth? (Use 1 mile = 1,609 meters.)

In the equation m and n are positive constants. If the product of the solutions to the given equation is kmn, where k is a constant, what is the value of k?

For what value of x is the given expression equivalent to, where n > 1?

As shown in the figure, the perimeter of an isosceles right triangle is inches. What is the length, in inches, of the hypotenuse of this triangle?

A rectangular prism has a height of 50 centimeters (cm). The base of the prism is a square and the surface area of the prism is S cm². If the prism is divided into two identical rectangular prisms by making a cut parallel to the square base, each resulting prism has a surface area of cm². What is the side length, in cm, of each square base?