SAT Pastpaper with Solutions

During a portion of a flight, a small airplane's cruising speed varied between 125 miles per hour and 135 miles per hour. Which inequality best represents this situation, where is the cruising speed, in miles per hour, during this portion of the flight?

If  , what is the value of  ?

The function is defined by . What is the value of ?

The function   is defined by  . For what value of does  ?

The scatterplot shows the relationship between two variables, and. Which of the following equations is the most appropriate linear model for the data shown?

The function   gives a toy car's height above the ground  , in inches,   seconds after it started moving on an elevated track, where  . Which of the following is the best interpretation of the vertex of the graph of  in the   plane?

For the given equation, which table gives three values of x and their corresponding values of y?

A chemist combines water and isopropanol to make a mixture with a volume of 45 milliliters  . The volume of isopropanol in the mixture is 10ML. What is the volume of water, in  , in the mixture? (Assume that the volume of the mixture is the sum of the volumes of water and isopropanol before they were mixed.)

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

A company has a customer loyalty program. In January 2018, there were 1,600 customers enrolled in the loyalty program. For the next 24 months after January 2018, the total number of customers enrolled in the loyalty program each month was 5% greater than the total number enrolled the previous month. Which equation gives the total number of customers,   , enrolled in the company's loyalty program  months after January 2018, where   ?

The function   gives the number of bacteria in a population   minutes after an initial observation. How much time, in minutes, does it take for the number of bacteria in the population to double?

One of two equations in a system of linear equations is given. The system has infinitely many solutions. What is the slope of the graph of the second equation?

Raheem bought 9 shirts that were each the same price. He used a coupon for   off the entire purchase. The cost for the entire purchase after using the coupon was  . What was the original price, in dollars, for 1 shirt?

In right triangle  , angles   and   are acute, side   has a length of 21.2, and   . What is the length of side  , rounded to the nearest tenth?

What is the minimum value of the given function?

Point   lies on a unit circle in the  -place and has coordinates  . Point   is the center of the circle and has coordinates  . Point   also lies on the circle and has coordinates , where   is a constant. Which of the following could be the positive measure of angle  , in radians?