SAT Pastpaper with Solutions

The graph shows the estimated concentration of a certain strain of bacteria, in millions of cells per mL of nutrient medium, over time x, in minutes since the initial measurement According to the graph, which of the following is closest to the number of minutes in took for the estimated concentration of the bacteria to increase from 20 million cells per ml of nutrient medium to 30 million cells per ml of nutrient medium?

f(x)=|71 -2x|

The function f is defined by the given equation. For which of the following values of k does f(k)=3k?

g(x) = 2(16x - 17) What is the y-coordinate of the y-intercept of the graph of y = g(x) - 3 in the xy-plane?

The volume of a right rectangular prism with a square base is 2448 cubic centimeters If the area of the square base is 144 square centimeters, what is the area, in square centimeters, of one of the four lateral faces of the prism?

y = 5(x - 2)²
y = 10(x - 2)
A solution to the given system of equations is (x, y)What is one possible value of x + y?

The function g is a quadratic function In the xy plane, the graph of y = g(x) has a vertex at (-1, -4) and passes through the points (-2, -43) and (1, -160) What is the value of g(0) - g(2)?

Triangles ABC and DEF are congruent, where A corresponds to D, and B and E are right angles The measure of angle A is 62° What is the measure of angle F?

A business consultant charges $408 for the first hour and $204 for each additional hour of work Which of the following functions gives the charge C(h), in dollars, for h hours of work, where h is a positive integer?

An acceptable noise criterion rating for the background noise in a laundry room is 50 For a noise criterion rating of 50, the equation y=22+47  gives the estimated sound pressure level,y, in decibels, as a funciton of the octave band center frequency, x, in hertz, where x≥60 Which of the following is the best interpretation of 47 in this context?

3x+5y=8

9x+15y=24

For each real number r,which of the following points lies on the graph of each equation in the xy-plane for the given system?

In the figure, parallel lines a and b are intersected by lines c, d, and e If z = 49, y = 136, and v < z, which statement about x and w must be true?