SAT Pastpaper with Solutions

To purchase a used car at a total price of 11,000 dollars, a onetime down payment is required, and then fixed monthly payments are made for the remaining amount owed for the car. The equation 11,000 = 2,200 + 200t represents this situation, where t is the number of fixed monthly payments that are made. Which of the following is the best interpretation of 200 in this context?

Line k is defined by y = 3x - 2. Line j is parallel to line k in the xy-plane and passes through the point (0,1). Which equation defines line j?

A model predicts that the population of a certain town was 5,000 in 2008, the model also predicts that each year for the next 5 years, the population p increased by 4% of the previous year's population. Which equation best represents this model, where x is the number of years after 2008, for x ≤ 5?

A park rents beach umbrellas to visitors. The park earns revenue of  $15 for each beach umbrella they rent for the day. On Wednesday, the park earned  $435 in profit from renting beach umbrellas after paying daily expenses of  $150, how many beach umbrellas did the park rent on Wednesday? (profit = total revenue - total expenses)

The given equation relates the real numbers r and w, where , which equation correctly expresses w in terms of r?

A hemisphere is half of a sphere. If a hemisphere has a radius of 83 inches, which of the following is closest to the volume, in cubic inches, of this  hemisphere?

For a certain type of rope, the equation y = 900ax², where a is a constant, gives the estimated breaking strength y, in pounds, of a rope with a circumference of x inches. Based on this equation, if a rope of this type has a circumference of 0.75 inches, it has an estimated breaking strength of 708.75 pounds. What is the estimated breaking strength, in pounds, of a rope of this type that has a  circumference of 4.50 inches?

If x ≥ -8 represents all solutions to the inequality ax - 18 ≤ 14, where a is a constant, what is the greatest possible value of a?

The solution to the given system of equations is (x,y). What is the value of 3x+8y?
5(3x) + 4(8y) = 16
-5(3x) + 4(8y) = 16

For the positive quantities h, j and k,35% of h is equivalent to 49% of j, and j is equivalent to 45% of k. What percentage of k is h? (Disregard the % sign when entering your answer. For example, if your answer is 39%, enter 39)

In the given equation, r is a constant. The equation has exactly one real solution. What is the value of r? 
4x² + 19 = 32x + r

Ari will add a 135 -year-old stamp to her original collection, creating a new  collection of 52 stamps. Which statement correctly compares the mean ages and median ages of Ari's original and new collections?

In the figure shown,   units, AC = 6 units, and CE = 18 units. What is the area, in square units, of triangle  ADE?

The graph of line g is shown in the xy-plane. Line k is defined by 165x + py = w, where p and w are constants. If line k is graphed in this xy-plane, resulting in the graph of a system of two linear equations, the system of two linear equations will have infinitely many solutions. What is the value of p + w?

Each of the following frequency tables represents a data set. Which of these frequency tables represents the data set with the smallest standard deviation?

In the xy-plane, the graph of the given equation is a circle. If this circle is inscribed in a square, what is the perimeter of the square?
x² - 4x + y² - 8y - 80 = 0

The given equation is one equation in a system of two linear equations. If the system of equations has at least one solution, which of the following equations could be the other equation in the system?
7x + 5y = 2

I.10.5x + 7.5y = 3

II. 10.5x - 7.5y = 3

The function f is defined by f(x) = ax² + bx + c, where a, b, and c are constants. The graph of y = f(x) in the xy-plane passes through the points (8,0) and (-2,0). If a is an integer greater than 1, which of the following could be the value of a+b?

An object's speed is increasing at a rate of 2.7 meters per second squared. What is this rate, in miles per minute squared , rounded to the nearest tenth? ( Use 1 mile = 1,609 meters.)