SAT Pastpaper with Solutions

The scatterplot shows the relationship between two variables, x and y.

Which of the following equations is the most appropriate linear model for the data shown?

The maximum value of q is 14 more than 7 times the value of r. Which inequality represents the relationship between q and r?

In the xy-plane , which of the following does NOT contain any points (x, y) that are solutions to 7x + 4y > 12?

A painter charges a fee for a custom painting, including a fixed fee and a fee per hour worked. This fee structure can be represented by the equation , where h is the number of hours the painter works. Which of the following is the best explanation of C?

Equilateral triangle T has a perimeter that is one-third the perimeter of equilateral triangle S. If one side of triangle S is 9 inches long, what is the length, in inches, of one side of triangle T?

The given system of equations has one solution at (x,y). What is the value of ?

The function models the amount of money, in dollars, that an arts organization has in its account d days after starting a fundraising campaign. Based on this model, how much money, in dollars, did the organization have in its account before starting the fundraising campaign?

The table shows the results of a research study that investigated the therapeutic value of vitamin C in preventing colds. A random sample of 300 adults received either a vitamin C pill or a sugar pill each day during a 2-week period, and the adults reported whether they contracted a cold during that time period. What proportion of adults who received a sugar pill reported contracting a cold?

If , what is one possible value of x + 2?

A right circular cylinder has a height of 4 meters (m) and a base with a radius of 18 m. What is the volume, in m³, of the cylinder?

Five values of x and their corresponding values of g(x) are shown in the table. The relationship between x and g(x) is linear. If the function g is defined by , what is the value of the constant k?

An auditorium has seats for 3,200 people. Tickets to attend a show at the auditorium currently cost $8.00. For each $1.00 increase to the ticket price, 100 fewer tickets will be sold. This situation can be modeled by the equation y= -100x² + 2400x + 25600, where x represents the increase in ticket price, in dollars, and y represents the revenue,  in dollars, from ticket sales. If this equation is graphed in the xy-plane, at what value of x is the maximum of the graph?

The given equation relates the numbers m, n, and s, where n is not equal to 0 and . Which equation correctly expresses m in terms of n and s?

If s and t are positive, which of the following expressions is equivalent to the given expression?

In 2023, a certain streaming service decreased its number of movies available by from the number of movies available in 2022. If the number of movies available in 2023 is m times the number of movies available in 2022, what is the value of m?

The function f is defined by the given equation. Which of the following equivalent forms of the equation displays the zeros of the function as constants or coefficients?

Right triangle ABC is similar to triangle DEF, where A corresponds to D and B corresponds to E. The lengths of the sides of triangle ABC are given. What is the value of ?
AB = 42, BC = 56, CA = 70

In the xy-plane, circle M is the graph of the equation , where a is a positive constant. Circle V is obtained by shifting circle M 11a units to the left. Which equation represents circle V?

On average, a certain tree grows 29 centimeters every m months. At this rate, which expression represents the number of centimeters, on average, the tree grows every n years?