SAT Pastpaper with Solutions

The function f gives the estimated height, in feet, of a willow tree a years after its height was first measured Which statement is the best interpretation of 3 in this context?
f(x) = 7x + 3

A list of 10 data values is shown.

10 , 14 , 22 , 6 , 24 , 26 , 14 , 8 , 8 , 8
What is the mean of these data?

The solution to the given system of equations is . What is the value of ?

A car travels at a speed of at least 25 miles per hour but no more than 50 miles per hour for a certain part of a trip. Which inequality represents this situation, where x is the speed of the car, in miles per hour, on this part of the trip?

The table shows three values of x and their corresponding values of f(x). If f(x) is a linear function, which equation defines f?

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

In a particular dice game, players earn different numbers of points depending on whether they roll an even or odd number. Cyrus rolled E even numbers and D odd numbers and earned a total score of 190. The given equation represents this situation. How many fewer points is it worth to roll an even number than to roll an odd number?

Katie paid a total of 13,300 for a car by making a down payment of 2,500 and p monthly payments of . Which of the following equations represents this situation?

The expression is equivalent to , where c is a constant and c > 0. What is the value of c?

In the xy-plane, the point (p, r) lies on the line with equation y = x + b, where b is a constant. The point with coordinates (2p, 5r) lies on the line with equation y = 3x + 2b. If p ≠ 0, what is the value of r/p?

Which point ( x,y ) is a solution to the given system of inequalities in the xy-plane?

A model predicts that the population of Franklin was 15,000 in 2005. The model also predicts that each year for the next 5 years the population, p, decreased by of the previous year's population. Which equation best represents this model, where x is the number of years after 2005, for ?

To make a bookcase, a woodworker charged a onetime fee plus per hour worked. The equation  represents this situation, where h is the number of hours worked Which of the following is the best interpretation of 45 in this context?

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

Bacteria are growing in a liquid growth medium. There were 20,000 cells per milliliter during an initial observation. The number of cells per milliliter doubles every 2 hours. How many cells per milliliter will there be 16 hours after the initial observation?

In the system of equations, k is a constant. If the system has infinitely many solutions, what is the value of k?

The side lengths of right triangle ABC are given. Triangle DEF is similar to triangle ABC where D corresponds to A and E corresponds to B. What is the value of ?
AB = 36, AC = 85, BC = 77

What is the set of all solutions to the equation  ?

What is the sum of the complex numbers 2+3i and 4+8i, where   ?

In the given equation, a, b, c, and d are constants. If the equation has roots - 1, - 3, and 5, which of the following is a factor of ax³ + bx² + cx + d?
ax³ + bx² + cx + d = 0