SAT Pastpaper with Solutions

For a particular tree species, it is recommended to plant a maximum of 111 trees per acre. Based on this recommendation, what is the maximum number of trees of this species that can be planted on 2 acres?

Which expression is equivalent to (3c + 9) - (4c³ - 5)?

In △JKL , the measures of both ∠J and ∠K are equal and the measure of ∠L is 136°. What is the measure of ∠J?

A student council group is selling car stickers for a fundraiser. They use the function p(x) = 5x - 190 to determine their profit p(x), in dollars, for selling x car stickers. In order to earn a profit of $400, how many car stickers must they sell?

Line r is defined by the equation 6x - 5y = 6. Line s is parallel to line r in the xy-plane. What is the slope of line s?

The table shows three values of x and their corresponding values of y. There is a linear relationship between x and y. What is the y-coordinate of the y  intercept of the line in the xy-plane that represents this relationship?

At how many points do the graphs of the equations y = x + 13 and y = 4x intersect in the xy-plane?

A quadratic model gives the predicted instantaneous rate of change, in bacteria per hour, of a bacteria population as a function of the population size. According to the model, the predicted instantaneous rate of change is 0 bacteria per hour for a population size of 0, and the maximum predicted instantaneous rate of change is 0.200 bacteria per hour for a population size of 7,000. Based on this model, what is the predicted instantaneous rate of change, in bacteria per hour, of the bacteria population for a population size of 700?

The cost to rent a bus from Company X is $950 for the first 2 hours and an additional $50 per hour for each hour after the first 2 hours. If the total cost to rent the bus from Company X for t hours, where t > 2, is $1,150, which equation represents this situation?

A machine fills bags with approximately 11 ounces of sugar. To test the accuracy of the filling process, 132 bags of sugar were selected at random and weighed. Based on the sample, it is estimated that the average weight of all bags of sugar filled by the machine in an 8-hour period is 10.83 ounces, with an associated margin of error of 0.2 ounce.
Which of the following is the best interpretation of this estimate?

In the figure shown, JM is the diameter and LM is a radius of semicircle L, and point K is the midpoint of JL. If the length of KL is 13 units and the length of MN is 14 units, which expression represents the area, in square units, of this figure?

The kinetic energy K, in joules, of an object is given by the formula , where m is the mass of the object, in kilograms, and v is the velocity of the object, in meters per second. If the kinetic energy of a certain object can be found by using the formula K = 34v², what is the mass of the object, in kilograms?

The function f(x) = 236(1.022)^x  models the value, in dollars, of a certain bank account from 1958 through 1973 , where x is the number of years after the end of 1958 . Which of the following is the best interpretation of " f(5) is approximately equal to 263 " in this context?

The scatterplot shows the relationship between two variables, x and y.

Which of the following equations is the most appropriate model for the data shown?

The function f is defined by f(x) = (x-10)(x-8)(x-4). In the xy-plane, the graph of y = g(x) is the result of translating the graph of y = f(x) up 6 units. What is the value of g(0)?

(x + 3)² + (y - 18)² = 169