SAT Pastpaper with Solutions

For a particular tree species, it is recommended to plant a maximum of 102 trees per acre. Based on this recommendation, what is the maximum number of trees of this species that can be planted on 3 acres?

Which expression is equivalent to 11(x² - 100y²)?

Which expression is equivalent to (9c + 8) - (4c³ - 6)?

In △JKL ,the measures of both ∠J and ∠K are equal and the measure of ∠L is 134°.What is the measure of ∠J?

A student council group is selling car stickers for a fundraiser. They use the function p(x) = 5x - 240 to determine their profit p(x), in dollars,for selling x car stickers. In order to earn a profit of $700,how many car stickers must they sell?

A line in the xy-plane has a slope of 7 and passes through the point (0,-5). Which equation represents this line?

Line r is defined by the equation 4x - 3y = 8. 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 + 24 and y = 7x intersect in the xy-plane?

The cost to rent a bus from Company X is $850 for the first 2 hours and an additional $30 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 $1,030 , which equation represents this situation?

A machine fills bags with approximately 29 ounces of walnuts. To test the accuracy of the filling process, 169 bags of walnuts were selected at random and weighed. Based on the sample, it is estimated that the average weight of all bags of walnuts filled by the machine in an 8 -hour period is 28.88 ounces, with an associated margin of error of 0.13 ounce. Which of the following is the best interpretation of this estimate?

The figure shown consists of a rectangle and a semicircle, where the length of WX is 20 units and the length of WZ is 5 units. The diameter of the semicircle is WX. Which of the following expressions represents the area, in square units, of the 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 = 32v², what is the mass of the object, in kilograms?

The function f(x) = 242(1.040)^x models the value, in dollars, of a certain bank account from 1953 through 1968 , where x is the number of years after the end of 1953 . Which of the following is the best interpretation of " f(5) is approximately equal to 294 " 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?

Line j is shown in the xy-plane.Line k (not shown) is parallel to line j and passes through the point (0,5). Which equation defines line k?

The function f is defined by f(x) = (x - 8)(x - 5)(x - 3) . In the xy-plane, the graph of y = g(x) is the result of translating the graph of y = f(x) up 3 units. What is the value of g(0) ?

The graph of the given equation is a circle in the xy-plane. The point (a,b) lies on the circle.Which of the following is a possible value for a?

(x + 3)² + (y - 18)² = 169

Right triangle ABC is shown. What is the value of sinA?