SAT Pastpaper with Solutions

In the figure shown, line intersects lines r and s. If w=147, which additional piece of information is sufficient to prove that lines and are parallel?

At a fundraiser, a family pays a fixed entrance fee. They then purchase food tickets, which each have the same cost. The table shows the relationship between the number of food tickets, x, that are purchased and the total amount paid y, in dollars, for both the entrance fee and the food tickets. Which equation represents the relationship between x and y?

A group of gardeners recorded data on the germination rates of their tomato crop for one growing season. The scatterplot shows the relationship between the number of tomato seeds planted,x , and the number of tomato seeds that germinated, y, for each of the gardeners. A line of best fit is also shown. 

The functions f, g, and h are defined as shown. If ,where a,b, and c are constants, what is the value of b?

The table shows values of x and their corresponding values of y for three points on line j in the xy-plane.

Line k also lies in the xy-plane and is defined by the equation y= 4x. At what point (x,y) do lines j and k intersect?

How many solutions does the given equation have?

In the given equation, k is a constant. The equation has exactly one real solution. What is the value of k?

In the given system of equations, m and b are negative constants. In the xy-plane, the graphs of the equations in the given system intersect at the point(-5,y), where y<0.Which expression represents the value of b?

The data value 13 is removed from data set A to create data set B, which consists of the remaining 10 data values. Which statement best compares the median of data set A and the median of data set B?

An engineer connects resistors in series, where the resistors in the series have a total resistance of ohms. In this series, there are x resistors of type A, which each have a resistance of a ohms, and y resistors of type B, which each have a resistance of b ohms. The given equation represents this situation. According to this equation, what is the positive difference between the value of a and the value of b?

The table gives the areas and perimeters of two similar rectangles, where n is a constant.

 The graph of 2x+y=11 in the xy-plane is a line. What is the slope of the line?

The function h estimates an object's height, in feet, above the ground t seconds after the object is dropped, where b is a constant. The function estimates that the object is 19.36 feet above the ground when it is dropped at t = 0. How many seconds after being dropped does the function estimate the object will hit the ground?

A circle has center P, and points A and B lie on the circle. The measure of arc AB is 45°and the length of arc AB is 4π units. What is the length, in units, of the radius of the circle?

In the given equation, n is a constant. The equation has exactly one solution. What is the value of  ?