SAT Pastpaper with Solutions

Cristina was elected to the city council. Each city council person is required to attend at least 21 of the 27 scheduled council meetings in a year to keep their position. Which inequality represents the number of city council meetings, x, Cristina must attend in a year to keep her position on the city council?

The function f(x) = -40x + 280 gives the predicted height above the ground f(x), in feet, of a model airplane x minutes after it begins to descend. What is the predicted height above the ground, in feet, of the model airplane 4 minutes after it begins to descend?

The given equation relates the distinct positive numbers v, w, and x. Which equation correctly expresses w in terms of v and x?

Which expression is equivalent to (x+8)² + 14(x+8) + 49?

If 8(x+7) = 7(x+7) + 68, what is the value of x+7?

In triangle ABC, angle B is a right angle. The length of side AB is and the length of side BC is  . What is the length of side AC?

To cut a lawn, Antwan charges a fee of $ 10.00 for his equipment and $ 8.50 per hour spent cutting a lawn. Taylor charges a fee of $ 7.00 for her equipment and $ 9.50 per hour spent cutting a lawn. If x represents the number of hours spent cutting a lawn, what are all the values of x for which Taylor's total charge is greater than Antwan's total charge?

In the xy-plane, line p has a slope of and an x-intercept of (16,0). What is the y coordinate of the y-intercept of line p?

The given table shows the number of even and odd integers contained in list A and list B. No integer is contained in both lists. What fraction of the even integers represented in the table are in list A?

In a certain state, the population of pheasants, a type of bird, is estimated each year by counting the number of pheasants observed along certain roads in the state. On average, each year from 2005 to 2015 the number of pheasants counted per mile of road decreased by 3.5% of the number of pheasants per mile of road the previous year. Based on this average, if there were 6.22 pheasants per mile of road in this state in 2005, which of the following best approximates the number of pheasants per mile of road in 2015?

The function g is defined by g(x) = 3x. For what value of x is g(x) = 12?

One solution to the given equation can be written as , where h and k are integer constants. What is the value of h+k?
2x² - 12x - 13 = 0

Data set F consists of 55 integers, where the value of each integer is between 150 and 260. Data set G consists of the same 55 integers in data set F as well as the integer 10. Which of the following must be less for data set G than for data set F?

I.The mean

II. The median

A gallery had x artifacts in a collection. When more artifacts were added to the collection, the number of artifacts increased by 149%. What is the resulting number of artifacts in the collection in terms of x?

The function f is defined by f(x) = a^x + b, where a and b are constants and a > 0. In the xy-plane, the graph of y = f(x) has a y-intercept at (0,-20) and passes through the point (2,43). What is the value of a-b?

One gallon of sealant costs $ 23 and will cover 250 square feet of a surface. A deck has a total surface area of d square feet. Which equation represents the cost c, in dollars, of the sealant needed to cover the deck twice?

A right square pyramid has a height of 11 centimeters (cm). A second right square pyramid has a height of 22 centimeters. The area of the bases of each of the two pyramids is 100 cm². Which of the following is closest to the difference in the surface area of the second pyramid and the surface area of the first pyramid, in cm²?

An object's speed is increasing at a rate of 5.70 meters per second squared. What is this rate, in miles per minute squared, rounded to the nearest tenth?
(Use 1 mile = 1,609 meters.)

For triangle ABC, the length of AB is 11 less than the length of AC. Point D (not shown) lies on AC such that BD (not shown) is perpendicular to AC. What is the value of ?

In the given equation, c is a constant. If the equation has exactly one solution, what is the value of c?