SAT Pastpaper with Solutions

The table summarizes members of a local organization by age and whether they live north or south of Center St. If a member of the organization is selected at random, what is the probability that the selected member is at least 45 years old?

Line q in the xy-plane has a slope of -6 and passes through the point (0,12). Which equation defines line q?

For a 2-week period in a town in low a, the lowest recorded temperature was 27 degrees Fahrenheit(°F) and the highest recorded temperature was 69°F Which inequality is true for any recorded temperature t, in °F,in this town for this 2-week period?

=k+7m
The given equation relates the distinct positive numbers j, k, and m, Which equation correctly expresses j in terms of k and m?

For x>0,the function f is defined as follows:f(x)equals 150% of x

Which of the following could describe this function?

The scatterplot shows the relationship between two variables,x and y

Which of the following equations is the most appropriate linear model for the data shown?

f(x)=2000(0.90)^x

A conservation scientist implemented a program to reduce a certain invasive insect population in an area. The given function estimates this insect species population x years after 2008, where x≤8. Which of the following is the best interpretation of 2,000 in this context?

Which of the following expressions is equivalent to 12x¹⁰-12x⁹+84x

The measure of angle F is radians,what is the value of sin(F)?

A hemisphere is half of a sphere.If a hemisphere has a radius of 38 inches,which of the following is closest to the volume,in cubic inches,of this hemisphere?

An auditorium has seats for 1,400 people. Tickets to attend a show at the auditorium currently cost S6 .00Eor each $1 .00 increase to the ticket price,100 fewer tickets will be sold. This situation can be modeled by the equation y=-100x²+800x+8,400, where x represents the increase in ticket price, in dollars, and represents the revenue,in dollars, from ticket sales. It this equation is graphed in the xy-plane,at what value of x is the maximum of the graph?

the function f gives the product of a number,x,and a number that is 38 more than x .Which equation defines f?

An objet's peed is increasing at a rate of 5 .2 meters per second squared.What is this rate,in miles per minute squared,rounded to the nearest tenth(Use 1 mile=1,609 meters.)

If the perimeter of an equilateral triangle with a height of 38 is  , what is the value of a?

Line k has a slope of 5 and a y-intercept of (0, 40). what is the x-coordinate of the x-intercept of line k?

A student council group is selling car stickers for a fundraiser.They use the function p(x)=5x-260 to determine their profit p(x) , in dollars , for selling x car stickers.In order to earn a profit of $500 , how many car stickers must they sell?

The function f is defined by f(x)=2x²-6x .What is the value of f(5)?