SAT Pastpaper with Solutions

Which expression is equivalent to (x²+11)² + (x-8)(x+8)?

The graph of the polynomial function f in the xy-plane, where y = f(x), passes through the point (9,7). What is the value of f(9)?

What is the y-intercept of the graph of y = 12(5)^x+2 in the xy-plane?

For which of the following tables are all the values of x and their corresponding values of y solutions to the given inequality?
y > 5x - 6

The table shows the linear relationship between the number of cars, c, on a commuter train and the maximum number of passengers and crew, p, that the train can carry. Which equation represents the linear relationship between c and p?

The function h is defined by h(x) = 2(9x-10). What is the value of h(10)?

Line p in the xy-plane is defined by and passes through the points (a,0) and (0,b), where a and b are constants. What is the value of a?

The values in data sets X and Y are shown in the table.

The standard deviation of data set X is q, and the standard deviation of data set Y is s. Which of the following statements about the standard deviation of the data sets is true?

The ratio 5 to x is equivalent to the ratio y to 8. Which equation represents x in terms of y?

For an online trivia game, 490 points are awarded for a correct answer if a question is answered in less than 5 seconds from the time the question is asked. Each 5 seconds after the question is asked, the number of points awarded for a correct answer decreases by 20% of the number of points awarded for a correct answer in the previous 5 seconds. Which function gives the number of points awarded for a correct answer x seconds from the time the question is asked, where x is a multiple of 5.

A machine makes 9-inch, 8-inch, and 3-inch parts. During a certain day, the number of 9 inch parts that the machine makes is 4 times the number n of 8-inch parts, and the number of 3-inch parts is 15. During this day, the machine makes 100 parts total. Which equation represents this situation?

A circle in the xy-plane has its center at (3,7). Line t is tangent to this circle at the point (a,-4), where a is a constant. The slope of line t is 5/4. What is the value of a?

The line segment shown in the xy-plane represents one of the legs of a right triangle. The area of this triangle is square units. What is the length, in units, of the other leg of this triangle?

In triangle ABC and triangle DEF, AB and DE are each equal to 5 centimeters, and angles A and D each have measure 35°. Which additional piece of information is sufficient to prove that triangle ABC is congruent to triangle DEF?

The graph of the linear function y = f(x) - 19 is shown. If c and d are positive constants, which equation could define f?

For 100 neurons,the table summarizes the distribution of classification and cell body diameter.

One of these neurons will be selected at random. What is the probability of selecting a neuron with a cell body diameter that is less than or equal to 30 micrometers, given that it is not classified as a motor neuron? (Express your answer as a decimal or fraction, not as a percent.)

In the given equation, k is a constant. The equation has exactly one real solution. What is the minimum possible value of 4k?

Which of the following expressions has a factor of x+2b, where b is a positive integer constant?

In the given equation, k is an integer constant. If the equation has two distinct real solutions, what is the greatest possible value of k?
x(kx - 40) = -8

The mass of object A is 416% of the mass of object B, and the mass of object A is 0.064% of the mass of object C. If the mass of object C is p% of the mass of object B, what is the value of ？