SAT Pastpaper with Solutions

In the figure, RT = TU. What is the value of x?

The point with coordinates (-2, a) lies on the line shown. What is the value of a?

Which of the following expressions is equivalent to, for ?

For the quadratic function f, the table shows four values of x and their corresponding values of f(x). Which equation defines f?

The function g is defined by , and g(a) = 9, where a is a constant. What is the value of a?

The functions f and g are defined below. What is the value of g(5)?
f(x) = -3x + 4
g(x) = 2 - f(x)

Which of the following is equivalent to 3(x+5) - 6?

If , what is the value of f(-1)?

Line m is defined by . Line n is perpendicular to line m and passes through (0,5). What is the expression of line n in the xy-plane?

A particular kind of paint covers 25 square inches per ounce. To the nearest whole number, how many ounces of paint are needed to cover a square canvas, where each edge has a length of 15 inches?

A company that makes wildlife videos purchases camera equipment for . The equipment depreciates in value at a constant rate for 12 years, after which it is considered to have no monetary value. How much is the camera equipment worth 4 years after it is purchased?

The function f gives the value, in dollars, of a certain model of car after x years of use. If the value of the car increases by of its value the preceding year every four years, what is the value of p?

The table shows the distribution of age and gender for 80 people who entered a contest. If the contest winner will be selected at random, what is the probability that the winner will be either a female under age 40 or a male age 40 or older?

An sweater is on sale for off. If a sales tax is added , what is the final price of the sweater, in dollars?

The value of an autographed baseball increased by 156% from the end of 2018 to the end of 2019 and then decreased by 44% from the end of 2019 to the end of 2020. What was the net percentage increase in the value of the autographed baseball from the end of 2018 to the end of 2020?

The dot plot represents the 27 values in data set A. Data set B is created by multiplying each value in data set A by 3. Which of the following correctly compares the medians and ranges of data sets A and B?

One solution to the given equation can be written as , where k is a constant. What is the value of k?

In the function above, b and c are constants with . When  is graphed in the xy-plane, the vertex of the parabola is . What is the value of k?

The rational function f is defined by an equation of the form, where a, b, and c are constants. The graph of is shown. If the graph of g(x) is formed by shifting the graph of f(x) down two units, which equation could define function g?

In the xy-plane, a parabola has x-intercepts and . If the equation of the parabola is written as , where a, b, and c are constants, which of the following expressions gives c in terms of a?