SAT Pastpaper with Solutions

The graph of the linear function f is shown, where y = f(x). Which equation defines f?

What is the y-intercept of the graph of   in the xy-plane?

Line m in the xy-plane contains the points and . Which of the following is an equation of line m?

The number of bacteria in the liquid culture medium is half of the previous day each day. There are 98,000 bacteria in the liquid medium at the start of an observation. Which of the following represents the number of bacteria, y, in the liquid medium t days after the start of the observation?

The scatterplot shows the federal-mandated minimum wage every 10 years between 1940 and 2010. A line of best fit is shown, and its equation is y = 0.096x - 0.49. What does the line of best fit predict about the increase in the minimum wage over the 70-year period?

In the figure, AD intersects BE at C. If x = 100, what is the value of y?

The quadratic function models the height above the ground h, in feet, of a projectile t seconds after it had been launched vertically. If y = h(t) is graphed in the xy-plane, which of the following represents the real-life meaning of the positive x-intercept of the graph?

If , which of the following must be true for all values of x?

Line m is defined by . Line n is perpendicular to line m in the xy-plane and passes through the point (0,-9). Which equation defines line n?

The solutions to the given equation are and, where m and n are integers. What is the value of ?

The given equation relates the positive numbers m, x, and y. Which equation correctly expresses x in terms of m and y?

Circle A in the xy-plane is represented by the equation . Circle B is obtained by shifting circle A 3 units to the right and 9 units up. An equation representing circle B is , where h and k are constants. What is the value of ?

In the given equation, k is a constant. The equation has exactly one real solution. What is the value of 8k?

If and, what is the value of t?

A bin contains a mixture of T-shirts for two sports teams. The table shows the number of T-shirts in the bin, classified by size and sports team.

One T shirt from the bin will be selected at random. What is the probability of selecting a T-shirt that is large given that the T-shirt is a Hawks T-shirt?

The function g is a quadratic function In the xy-plane, the graph of y = g(x) has a vertex at (-1, -4) and passes through the points (-2, -43) and (1, -160). What is the value of g(0) - g(2)?

For each real number r , which of the following points lies on the graph of each equation in the xy-plane for the given system?

The mass of object A is of the mass of object B and the mass of object A is of the mass of object C. If the mass of object C is of the mass of object B, what is the value of ?