SAT Pastpaper with Solutions

The graph of a system of a linear equation and a quadratic equation is shown. Which of the following is a solution (x, y) to the system?

One of the equations in a system of two linear equations is given, where m is a positive constant. The system has infinitely many solutions. Which equation could be the second equation in this system?
15(x - m) = 30y + 30m

An object is traveling at a speed of 1.2 kilometers per hour. How many meters per second (m/s) is this speed? 1 kilometer = 1,000 meters.

How many solutions does the equation 5(x+2) = 5x + 6 have?

The side length of the square is 4 meters (m), the length of the rectangle is 6 m, and the width is 5 m. Find the total area of the rectangle and the square, in square meters.

The function f is defined by . What is the x-intercept of the graph of y = f(x) in the xy-plane?

If h(1) = 5 and h(0) = 3 in linear function h, which of the following is the equation of function h?

In a shipment of 4,500 shirts, 495 are black. What percentage of the shirts are black shirts?

Which of the following is equivalent to for x not equal to -2?

In the xy-plane, an equation of circle A is . Circle B has the same center as circle A but has a radius that is four times the radius of circle A. Which equation represents circle B?

In right triangle ABC, the sum of the measures of angle A and angle C is 90 degrees. The value of  is . What is the value of ?

In the figure shown, the measure of angle Y is 38°. The length of XY is 12 meters and the length of YZ is 5 meters. What is the area, in square meters, of triangle XYZ?

A research manager selected two random samples to estimate the average lifespan of a certain type of light bulb (in hours). Based on the first sample, the research manager estimated that the average lifespan of this type of light bulb is 800 hours, with a margin of error of 20 hours. Based on the second sample, the research manager estimated that the average lifespan of this type of light bulb is 810 hours, with a margin of error of 35 hours. Assuming the margins of error were calculated in the same way, which of the following best explains why the first sample obtained a smaller margin of error than the second sample?

In the given equation, r is constant. The equation has no solution. What is the value of r?

One solution to the given equation can be written as, where s and t are positive integers. What is the value of ?
(x+2)(x+4) = 5

The equation gives the predicted population N(m), in thousands, of a certain bacteria colony m minutes after the initial measurement, where T is a constant greater than 1. The predicted population increases by every 180 seconds. What is the value of s in terms of T?

A quadratic function models the relationship between the speed (in meters per second) and the time (in seconds) of a car accelerating from rest. According to the model, the car reaches its maximum speed of 75 meters per second 5 seconds after starting. According to the model, what was the speed of the car 3 seconds after starting?

The function p is defined by, where a, b, and c are constants. In the xy-plane, the graph of y = p(x) passes through the points (1,25) and (-1,52). What is the value of ?