SAT Pastpaper with Solutions

Each side of square A has a length of 13 inches Each side of square A is multiplied by a scale factor of 3 to create square B What is the length, in inches, of each side of square B?

The function f(x)= (x- 6)²+3 gives a toy car's height above the ground f(x), in inches, x seconds after it started moving on an elevated track, where 0 ≤ x ≤ 10 Which of the following is the best interpretation of the vertex of the graph of y = f(x) in the xy-plane?

A car travels at a speed of at least 25 miles per hour but no more than 50 miles per hour for a certain part of a trip. Which inequality represents this situation, where x is the speed of the car, in miles per hour, on this part of the trip?

f(x) = 7x + 3 ,The function f gives the estimated height, in feet, of a willow tree ayears after its height was first measured Which statement is thebest interpretation of 3 in this context?

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 a worker ants, the equation y=0.67x + 2.6, where 20 ≤x≤ 110, gives the predicted number of larvae, y, in the colony lf one of these colonies has 35 worker ants which of the following is closest to the predicted number of larvae in the colony?

b - 49 = , The given equation relates the positive numbers b, x, and y Which equation correctly expresses a in terms of b and y?

2y=5x+16 -2y = 7x - 22

The solution to the given system of equations is (x, y). What is the value of 24x?

James purchased a certain baseball card on January 1. The function  , where 0 ≤ × ≤ 10, gives the predicted value, in dollars, of the baseball card x years after James purchased it. What is the best interpretation of the statement " f(7) is approximately equal to 72" in this context?

At what value of x does the graph of y =x²+ 18x - 23 reach it's minimum in the xy-plane?

The function P models the population, in thousands, of a certain city t years after 2009 According to the model, the population is predicted to increase by n% every 8 months. What is the value of n?

P(t) = 260(1.03)^(3t/2)

For two acute angles, ∠Q and ∠R, cos(Q) = sin(R) The measures,in degrees, of ∠Q and ∠R are x + 61 and 4x + 4, respectively. What is the value of a? 

f(x)=x³+8x+17

For the given function F , the graph of y = f(x)-b in the xy-plane passes through the point (0, 6), where b is a constant Whatis the value of b?

19.5x+24.25y = 583 Odalys ordered mulch and river rock, which cost a total of $583, for her home The given equation represents the relationship between the number of cubic yards of mulch, x, and the number of tons of river rock, y, Odalys ordered How much more, in dollars, did a ton of river rock cost Odalys than a cubic yard of mulch?

How many centimeters are equivalent to 47 meters? (1 meter= 100 centimeters)

Circle A has a radius of 3x and circle B has a radius of 135x ,The area of circle B is how many times the area of circle A?

The graph of a line in the xy-plane passes through the point(1, 5) and crosses the x-axis at the point (9, 0) The line crosses the y-axis at the point (0, b) What is the value of b?

IF = 6.5 and = 26 what is the value of n?