SAT Pastpaper with Solutions

In the figure, two lines intersect at a point. If r = 61, what is the value of s?

The function f is defined by f(x) = 5x². What is the value of f(7).

The solution to the given system of equations is (x,y). What is the value of x?
x + 5y = 5
x - 5y = 7

Which expression is equivalent to 6x(x+3)?

The function f is defined by f(x) = 3x⁵. In the xy-plane, the graph of y = g(x) is the result of shifting the graph of y = f(x) up 9 units.
Which equation defines the function g?

For the linear function f, the graph of y = f(x) in the xy-plane has a slope of 69 and f(0) = 3. Which equation defines f?

5% of w is 741.41. What is the value of w?

The graph of a system of a linear and a quadratic equation is shown. What system is represented by the graph?

The graph of a system of a linear and a quadratic equation is shown. What system is represented by the graph?

The function W gives the total time, in minutes, it takes for a gardener to water x plants and mow the grass. According to the function, how many minutes does it take the gardener to mow the grass?
W(x) = 4x + 80

The solution to the given system of equations is (x,y). What is the value of x?
19 = x + y
x - y = 9

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 - 16x + y² - 10y - 55 = 0

If 5(3x+6) = 3(3x+6) + 78, what is the value of 3x+6?

If f(x) = x + 5 and g(x) = 5x, what is the value of 7f(4) - g(4)?

The function C gives the estimated number of cephalopods, a class of marine animal, in a certain area, where t is the number of months since a study began. How many months after the study began was the number of cephalopods in the area estimated to be 247?

An object moves at a speed of feet per second. What is this speed in yards per second? ( 3 feet = 1 yard)

For the linear function g, the table shows four values of x and their corresponding values of g(x). The function can be written as g(x) = mx + b, where m and b are constants. What is the value of b?

The current value of a house is $ 174,000 , and this value increases by 2.4% each year from the value of the previous year. Which function f gives the value, in dollars, of the house x years from now?

In triangle QRS shown, QR < RS . Which expression represents the length of QS?

One of the equations in a system of two linear equations is given, where r is a nonzero constant. The system has no solution. If the other equation in the system is graphed in the xy-plane, what is the slope of the graph?

A machine makes 8-inch, 9-inch, and 3-inch parts. During a certain day, the number of 8 inch parts that the machine makes is 4 times the number n of 9-inch parts, and the number of 3-inch parts is 30 . During this day, the machine makes 100 parts total. Which equation represents this situation?