SAT Pastpaper with Solutions

The function f is defined by . What is the value of when x = 2?

The table shows three values of x and their corresponding values of y. There is a linear relationship between x and y. Which of the following equations represents this relationship?

One of the two equations in a system of linear equations is given. The system has infinitely many solutions. If the second equation in the system is , where m and b are constants, what is the value of b?

If the given function f is graphed in the xy-plane, where y = f(x) , what is the y-intercept of the graph?

The relationship between the variables x and y is defined by an exponential equation. When x = 0, the value of y is 90, and for every increase in the value of x by 1, the corresponding value of y increases by of its previous value. Which equation represents this relationship?

The table shows the amount of time it took a participant in a study to complete each of 5 tasks. What was the mean time, in minutes, for this participant to complete a task?

Which of the following is closest to the slope of the line of best fit shown?

In the figure, line q is parallel to line r, and both lines are intersected by line s. If , what is the value of x?

How many solutions does the equation 5(3x + 2) = 7(3x - 2) have?

Raheem bought 9 shirts that were each the same price. He used a coupon for off the entire purchase. The cost for the entire purchase after using the coupon was $108. What was the original price, in dollars, for 1 shirt?

Line t in the xy-plane has a slope of and passes through the point . Which equation defines line t?

What is a positive solution to the given equation?

A right circular cone has a height of 13 centimeters (cm) and a base with a radius of 6 cm. What is the volume, in cm³, of this cone?

A linear model estimates the population of a city from 1995 to 2019. The model estimates the population was 55 thousand in 1995, 217 thousand in 2015, and x thousand in 2019. To the nearest whole number, what is the value of x?

The equation gives the estimated number of online newsletter subscribers at the end of every six-month period, x, starting from the end of January 1997, where . Which statement is the best interpretation of the y-intercept of the graph of this equation in the xy-plane?
y = 500(2)^2x

The solution to the given system of equations is . What is the value of ?

When several resistors are connected in series in a circuit, the total resistance of the circuit is the sum of the resistances of these resistors. A certain circuit consists of 8 resistors connected in series, where the resistance of each resistor is positive. This circuit has a total resistance of 130 ohms. The total resistance of 3 resistors in this circuit is 90 ohms. Which inequality best represents all possible values of the resistance x, in ohms, of one of the other 5 resistors in this circuit?

If , what is the value of ?

On a plot of land, of the square footage is farmland and the remaining square footage is pasture. There are buildings on exactly  of the square footage of the farmland, and there are buildings on exactly of the square footage of the pasture. If there are buildings on exactly of the square footage of the plot of land, what is the value of p?