SAT Pastpaper with Solutions

Line m in the xy-plane has a slope of -5 and passes through the point  . Which equation defines liner?

The table shows selected values from the function f.

Which of the following is the best description of function f ?

The function f is defined by . What is the value of f(-2)?

In the xy-plane, the graph of the equation is translated 4 units left. What is an equation of the resulting graph?

A solution to the given system of equations is (x,y). What is the value of ?

The bar graph shows the frequency of each data value in a data set.

What is the frequency of data value 1 in this data set?

The function f models the depth below sea level, in meters, of a certain seal x minutes after the seal dives into the water. What is the best interpretation of f(3) = 234 in this context?

Students at a school raise money by selling two different snacks. They earn from each bag of chips and from each burger. If the students earn .The equation represents this situation. Which of the following is the best interpretation of y in this context?

The table gives the perimeters of similar triangles TUV and XYZ, where TU corresponds to XY. The length of TU is 18.

What is the length of XY ?

Scientists collected fallen acorns that each housed a colony of the ant species P. ohioensis and analyzed each colony's structure. For any of these colonies, if the colony has x worker ants, the equation y = 0.72x + 2.4, where 25≤x≤100, gives the predicted number of larvae, y, in the colony. If one of these colonies has 68 worker ants, which of the following is closest to the predicted number of larvae in the colony?

In the right triangle shown, what is the value of ?

The area of a triangle is 180 square centimeters. The length of the base of the triangle is 18 centimeters greater than the height of the triangle. What is the base, in centimeters, of the triangle?

If x > 1 and y > 1, which of the following is equivalent to the given expression?

A piece of string with a length of 100 inches is cut into two parts. One part has a length of x inches, and the other part has a length of y inches. The value of x is 10 more than 4 times the value of y. What is the value of y?

A circle with the equation  is graphed in the xy plane. What is the length of the radius of this circle?

An employee earns per hour for the first 30 hours worked in a week. For each hour worked over 30 hours, the employee earns per hour. What is the least number of whole hours that the employee must work in a week to earn at least ?

The graph of a system of a linear equation and a quadratic equation is shown. A solution to the system is (x,y). What is a possible value of y? 

The solution to the given system of equations is , where p and w are integers. What is the value of w?

Jay mows lawns in the summer. When Jay mows a lawn with a fence he charges per minute. When Jay mows a lawn without a fence, he charges per minute. Jay spends a total of 13 hours mowing lawns with and without a fence in a week and charges a total of for mowing lawns during that week. How many minutes does Jay spend mowing lawns with a fence during that week?