SAT Pastpaper with Solutions

Which expression is equivalent to 19(x² - 8)?

The function f is defined by f(x) = 5x³ + 3. What is the value of f(2)?

A car travels at a speed of at least 40 miles per hour but no more than 65 miles per hour for a certain part of a trip. Which inequality represents this situation, where x is the speed of the car, in miles per hour, on this part of the trip?

The ratio of k to p is constant. If k = 4, then p = 3. What is the value of k when p = 24?

For the linear function h, b is a constant and h(0) = 26. What is the value of b?
h(x) = x + b

Which expression is equivalent to  , where x > 0?

Which of the following is closest to the slope of this line of best fit?

Scientists collected fallen acorns that each housed a colony of the ant species P. ohioensis and analyzed each colony's structure. For any of these colonies, if the colony has x worker ants, the equation y = 0.67x + 2.6, where 20 ≤ x ≤ 110,  gives the predicted number of larvae, y, in the colony. If one of these colonies has 53 worker ants, which of the following is closest to the predicted number of larvae in the colony?

In triangle DEF, the measure of angle D is 40° and the measure of angle E is 95°. In triangle RST, the measure of angle R  is 40° and the measure of angle S is 95°. Which of the following additional pieces of information is needed to determine whether triangle DEF is similar to triangle RST?

If -7(13 - 5x) + 3 = -8(13 - 5x) + 21, what is the value of 13 - 5x?

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?

The function   gives the number of bacteria in a population t minutes after an initial observation. How much time, in minutes, does it take for the number of bacteria in the population to double?

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 medium, given that the T-shirt is a Flames T-shirt?

The measure of angle R is   radians. The measure of angle T is   radians greater than the measure of angle R. What is the measure of angle T, in degrees?

The expression 0.33x represents the result of decreasing a positive quantity x by what percent?

According to a US law, ramps for use by the general public must form an angle with level ground such that  . If the ramp in the figure conforms to this law and has a height of 28.4 inches, what is the least possible value of x, in inches?

The edge length, in inches, of cube Y is   the edge length, in inches, of cube X. The surface area, in square inches, of cube Y is n times the surface area, in square inches, of cube X. What is the value of n?