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 -9 and passes through the point (0,14). Which equation defines line q?

For a 2-week period in a town in lowa, the lowest recorded temperature was 26 degrees Fahrenheit (°F)and the highest recorded temperature was 63°F. Which inequality is true for any recorded temperature t, in F, in this town for this 2-week period?

j/7=k+13m

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

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?

A batch of smoothies consists of 4 cups of milk and 2 bananas and has 1,226 milligrams(mg)of calcium. There is 304 mg of calcium in 1 cup of milk. How much calcium, in mg, is in 1 banana?

f(x)-7 .000(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 7,000 in this context?

The measure of angle F is radian.What is the value of cos(F)?

A hemisphere is half of a sphere.If a hemisphere has a radius of 56 inches,which of the following is closest to the volume,in cubic inches,of this hemisphere?

The function g is defined by g(x)=-+11. What is the x-intercept of the graph of y=g(x)+6 in the xy-plane?

An auditorium has seats for 2,600 people. Tickets to attend a show at the auditorium currently cost $8.00. For each $1.00 increase to the ticket price,100 fewer tickets will be sold. This situation can be modeled by the equation y=-100x²+1,800x+20,800, where x represents the increase in ticket price, in dollars, and y represents the revenue, in dollars, from ticket sales. If this equation is graphed in the xy-plane,at what value of x is the maximum of the graph?

k+21=63

What is the solution to the given equation?

The function f gives the product of a number, x, and a number that is 45 more than x. Which equation defines f?

ax+by=96

2ax+8y=72

In the given system of equations, a and b are constants. The graphs of these equations in the xy-plane intersect at the point (x,6). What is the value of b?

An object's speed is increasing at a rate of 10.5 meters per second squared. What is this rate, in miles per minute squared, rounded to the nearest tenth? (Use 1 mile =1,609 meters.)

Line k has a slope of 6 and a y-intercept of (0,60). What is the x-coordinate of the x-intercept of line k?

If the perimeter of an equilateral triangle with a height of 21 is , what is the value of ?

The function f is defined by f(x)=2x²-5x.What is the value of f(8)?

If 3x+4=10,what is the value of 9x-4?

A student council group is selling car stickers for a fundraiser. They use the function p(x)=5x-190 to determine their profit p(x), in dollars, for selling x car stickers. In order to earn a profit of $600, how many car stickers must they sell?