SAT Pastpaper with Solutions

The function j is defined by . What is the value of j(48)?

The function k gives the estimated number of students in a school organization x years after the organization was established, where 0 ≤ x ≤ 10. Which statement is the best interpretation of k(4) = 44?

The function t(x) = -3x + 74 gives the estimated temperature, in degrees Fahrenheit, of a town x hours after 6 p.m., where 0 ≤ x ≤ 5. What is the best interpretation of -3 in this context?

The graph of the function f is shown, where y = f(x).

Which of the following best describes the function f?

Which expression is equivalent to 10x² + 130?

An event planner is planning an ice-skating event. It costs the event planner a onetime fee of $30 to rent the skating rink and $ 10.25 per attendee. The event planner has a budget of $250. What is the greatest number of attendees possible without exceeding the budget?

The function f is defined by . For what value of x does f(x) = 28?

Triangle PQR is similar to triangle STU, where P, Q, and R correspond to S, T, and U, respectively. In triangle PQR, the length of PQ is 6 and the length of QR is 24. In triangle STU, the length of ST is 8. What is the length of TU?

The graph of a system of a linear and a quadratic equation is shown. What system is represented by the graph?

The function f is defined by f(x) = 4^(x-2) + 8. What is the value of f(2)?

If the graph of 12x + 22y = 132 is shifted down 4 units in the xy-plane, what is the y intercept of the resulting graph?

The table shows three values of x and their corresponding values of j(x) for exponential function j. When the graph of y = j(x) in the xy-plane is shifted up 20 units, the resulting graph is defined by function h. Which table gives three values of x and their corresponding values of h(x)?

A landscaping company mixes oil with gasoline to power its tools. A chainsaw requires 8 ounces of oil per gallon of gasoline. A lawnmower requires 4 ounces of oil per gallon of gasoline. The company uses a total of 21 ounces of oil in its mixes for the chainsaw and lawnmower. Which of the following equations represents this situation, where x represents the amount of gasoline, in gallons, in the mix for the chainsaw and y represents the amount of gasoline, in gallons, in the mix for the lawnmower?

Rectangles ABCD and EFGH are similar. The length of each side of rectangle EFGH is 7 times the length of the corresponding side of rectangle ABCD. The area of rectangle ABCD is 68 square units. What is the area of rectangle EFGH, in square units?

The function h estimates an object's height, in feet, above the ground t seconds after the object is dropped, where b is a constant. The function estimates that the object is 2.56 feet above the ground when it is dropped at t = 0 . How many seconds after being dropped does the function estimate the object will hit the ground?
h(t) = -16t² + b

The measure of angle S is radians. The measure of angle T is 3 times the measure of angle S. Which expression represents the measure, in degrees, of angle T?

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

3x + 4y = 0

Each of the following frequency tables represents a data set. Which data set has the greatest mean?

Jackson mows lawns in the summer. When Jackson mows a lawn with a fence he charges $1.03 per minute. When Jackson mows a lawn without a fence, he charges $0.56 per minute. Jackson spends a total of 15 hours mowing lawns with and without a fence in a week and charges a total of $701.40 for mowing lawns during that week. How many minutes does Jackson spend mowing lawns with a fence during that week?