SAT Pastpaper with Solutions

The function f is defined by f(x) = -3x + 40. What is the value of f(x) when x = -6?

Data set A and data set B each have 11 values. Which of the following statements best compares the median of data set A and the median of data set B?
Data set A: 2 , 2 , 2 , 5 , 5 , 8 , 11 , 11 , 14 , 14 , 14
Data set B: 2 , 5 , 5 , 8 , 8 , 8 , 8 , 8 , 11 , 11 , 14

The function f is defined by f(x) = x³ + 27. What is the value of f(2)?

In the xy-plane, the graph of the equation y = 9^x is translated 8 units down. What is an equation of the resulting graph?

A solution to the given system of equations is (x,y). What is the value of x²?
y = 4x + 12
y = (x+2)²

The function f models the depth below sea level, in meters, of a certain seal x minutes after the seal dives into the water. What is the best interpretation of f(2) = 190 in this context?
f(x) = -9x² + 113x

A school swim team sold shirts to raise money. The team raised $ 13 from each short-sleeved shirt sold and raised $ 14 from each long-sleeved shirt sold. The team raised a total of $ 423 from the sale of these shirts. The equation 13x + 14y = 423 represents this situation.
Which of the following is the best interpretation of y in this context?

A chemist mixed x liters of a 2% saline solution with y liters of a 5% saline solution to produce a 3% saline solution. Which equation best represents this situation? (Assume the volumes of the solutions are additive.)

In the right triangle shown, c is a constant. The value of , where k is a constant. What is the value of k?

The table gives the perimeters of similar triangles TUV and XYZ , where TU corresponds to XY. The length of TU is 16.

What is the length of XY?

What is the radius of the circle in the xy-plane defined by (x+4)² + (y+8)² = 169?

A piece of string with a length of 96 inches is cut into two parts. One part has a length of x inches, and the other part has a length of y inches. The value of x is 6 more than 4 times the value of y. What is the value of x?

The area of a triangle is 270 square centimeters. The length of the base of the triangle is 12 centimeters greater than the height of the triangle. What is the height, in centimeters, of the triangle?

An employee earns $ 30 per hour for the first 40 hours worked in a week. For each hour worked over 40 hours, the employee earns $ 45 per hour. What is the least number of whole hours that the employee must work in a week to earn at least $1,610?

The graph of a system of a linear equation and a quadratic equation is shown. A solution to the system is (x,y). What is a possible value of x?

The solution to the given system of equations is , where p and w are integers. What is the value of p?
22x - 21y = 43
5x + 14y = 59

The table shows three values of x and their corresponding values of y. There is a linear relationship between x and y. What is the x-coordinate of the x-intercept of the graph that represents this linear relationship in the xy-plane?

In the figure, LQ intersects MP at point R, and LM is parallel to PQ. The lengths of MR, LR, and RP are 9, 10, and 19, respectively. What is the length of LQ?