SAT Pastpaper with Solutions

The number of bacteria in a liquid medium doubles every day. There are 83,000 bacteria in the liquid medium at the start of an observation.

Which of the following represents the number of bacteria, , in the liquid medium days after the start of the observation?

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

Ari examined a set of 85 plants. The lightest plant had a mass of 2.8 kilograms kg and the heaviest plant had a mass of 6.2 kg. Chihiro examined the same set of 85 plants and also an additional plant with a mass of 11.6 kg. Which of the following must be true about the set of plants that Ari examined and the set of plants that Chihiro examined?

A linear model estimates the population of a city from 1992 to 2016 . The model estimates the population was 53 thousand in 1992, 224 thousand in 2012, and x thousand in 2016. To the nearest whole number, what is the value of x ?

For the polynomial function and . The graph of in the plane passes through the points and . Which of the following must be true?

Triangles ABC and DEF are similar, where A corresponds to D , and B corresponds to E. The measure of angle A is 26°, and AB = 4. Which of the following statements must be true?

I. The measure of angle D is 26°

II. DE = 4

A clothing store buys shirts at a wholesale price of 4.00 dollars each and resells them each at a retail price that is of the wholesale price. At the end of the season, any remaining shirts are marked at a discounted price that is off the retail price. What is the discounted price of each remaining shirt, in dollars?

The function gives the value, in dollars, of a certain piece of equipment after months of use. If the value of the equipment decreases each year by of its value the preceding year, what is the value of ?

The solutions to the given equation are and , where and are integers. What is the value of ?

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

For each real number , which of the following points lies on the graph of each equation in the -plane for the given system?

The length of each edge of a box is 79 centimeters. Each side of the box is in the shape of a square. The box does not have a lid. What is the exterior surface area, in square meters, of this box without a lid? ( 1 meter centimeters

The scatterplot shows the relationship between two variables, x and y , for data set P. A line of best fit for the data is also shown. Data set Q is created by adding 649 units to the value of x for each data point from data set P. Which of the following could be an equation of a line of best fit for data set Q?

Circle in the -plane is represented by the equation Circle is obtained by shifting circle 5 units to the left and 11 units up. An equation representing circle is , where and are constants. What is the value of ?

In the given equation, is a constant. The equation has exactly one real solution. What is the minimum possible value of ?

The functions and are defined by the given equations, where . Which of the following equations displays, as a constant or coefficient, the maximum value of the function it defines, where ?
I
II

An object's speed is increasing at a rate of 4.9 meters per second squared. What is this rate, in miles per minute squared, rounded to the nearest tenth? (Use 1 mile meters.)