SAT Pastpaper with Solutions

What is the y-intercept of the graph of in the xy-plane?

The relationship between two variables, x and y, is shown on the scatterplot, and a line of best fit is also shown. Which of the following equations best represents the line of best fit?

The product of a negative number x and the number that is 5 less than x is equal to 234. What is the value of x?

The table shows four values of x and their corresponding values of g(x) for the quadratic function g. Which of the following equations defines function g?

The table shows the population of Greenleaf, Idaho, for the years 2000 and 2010. If the relationship between population and year is linear, which of the following functions r models the population of Greenleaf t years after 2000?

The equation given defines function f. If c is a constant, for which value of c does f(c) = 20?

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

Line n is graphed in the xy-plane and is defined by . If line m is parallel to line n, what is the slope of line m?

There are 20 values in data set R, represented by the dot plot shown. Data set S is created by subtracting 8 from each of the values in data set R. Which of the following correctly compares the ranges and the means of data sets R and S?

A concrete block in the shape of a rectangular solid has a mass of 1,690 kilograms. The block has a length of 1.1 meters, a width of 0.8 meters, and a height of 0.8 meters. To the nearest whole number, what is the density, in kilograms per cubic meter, of the concrete block?

A line in the xy-plane passes through the points (5,1), (0,6), and (m,0). What is the value of m?

In the figure shown, line l intersects parallel lines j and k. If  and , what is the value of p?

The equation has exactly two real solutions. If k is a constant and k < m, what is the least possible value of m?

The amount, in micrograms, of a certain radioactive isotope h hours after its initial creation is modeled by the function . According to the model, the amount of the isotope is predicted to decrease by every 75 minutes. What is the value of d?

In the xy-plane, the graph of the given equation is circle. Which point lies on this circle?

The given expression, where k is a constant, can be rewritten as , where p, q, and r are integer constants. Which of the following must be an integer?

The mass of object A is of the mass of object B and the mass of object A is of the mass of object C. If the mass of object C is of the mass of object B. what is the value of ?

A circle with the equation  is graphed in the xy-plane. What is the length of the radius of this circle?

The function q is defined by , where a and b are constant s, and  . If and  , where h and k are constants , what is the value of ?

The equation of a parabola is written in the form , where a, b, and c are constants. When graphed in the xy-plane, the parabola has vertex and does not intersect the x-axis. Which of the following could be the value of ?

In triangle ABC, the measure of angle B is 90° and BD is an altitude of the triangle. The length of AB is 15 and the length of AC is 23 greater than the length of AB. What is the value of ?