SAT Pastpaper with Solutions

The function h is defined by h(x) = 5x - 9. What is the value of h(-3)?

If 8x + 7 = 79, what is the value of 80x+70?

Casey is raising h horses and g goats. Each horse requires 2 acres of land, and each goat requires 1 acre of land. The h horses and g goats require a total of 21 acres of land. Which equation represents this situation?

The function gives a toy car's height above the ground f(x), in inches, x seconds after it started moving on an elevated track, where 0 ≤ x ≤ 10. Which of the following is the best interpretation of the vertex of the graph of y = f(x) in the xy-plane?

Which expression is equivalent to (w+7)(3w-10)?

Two numbers have a product y, such that one number is x and the other number is 99 less than x. Which of the following equations represents the relationship between y and x?

A bank account was opened with an initial deposit. Over the next several months, regular deposits were made into this account, and there were no withdrawals made during this time. The graph of the function f shown, where y = f(x), estimates the account balance, in dollars, in this bank account x months since the initial deposit. To the nearest whole dollar, what is the amount of the initial deposit estimated by the graph?

The function F(m) = 7m models the force, in newtons, acting on each object in a certain field as a function of the object's mass m, in kilograms. Which statement is the best interpretation of F(4) = 28 in this context?

In the figure shown, lines l and k are parallel and line t intersects both lines. If x > 154 , which of the following must be true?

The graph of a polynomial function y = f(x) in the xy-plane passes through the point (5,7). What is the value of f(5)?

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

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

The functions g and h are defined by the given equations.


If g(8) = t, where t is a constant, what is the value of h(t)?

If , what is the value of (x - 33)²?

A circle has center O , and points A and B lie on the circle. The measure of is 20°, and the length of this arc is 4 inches. What is the circumference, in inches, of the circle?

For x > 0, the function f is defined as follows: f(x) equals 111% of x.
Which of the following could describe this function?

In the given system of equations, w is a constant. The system has infinitely many solutions. What is the value of w?
45x + 33y - 200 = -359
2wx + 11y = -53

The functions f and g are defined as and. If the function h is defined as h(x) = f(x) + g(x), what is the x-intercept of the graph of y = h(x) in the xy-plane?

A beaker containing a liquid is placed on a table. The function g(t) = 294 + (363 - 294)(2.72)^-0.103t gives the approximate temperature, in kelvins, of the liquid t minutes after the beaker was placed on the table. According to this function, what was the approximate temperature, in kelvins, of the liquid when the beaker was placed on the table?

A researcher surveyed undergraduate students, graduate students, and postdoctoral students. The number of undergraduate students surveyed was 7,450% of the number of postdoctoral students surveyed and the number of graduate students surveyed was 24% of the number of undergraduate students surveyed. If there were 3,576 graduate students surveyed, what was the sum of the number of undergraduate students and postdoctoral students surveyed?

What is the minimum value of the given function? f(x) = (2x - 20)(2x + 8)