SAT Pastpaper with Solutions

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

In the xy-plane, the graph of is a line that passes through and has a slope of 7. Which equation defines f?

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?

An object was launched upward from a platform. The graph shown models the height above ground, y. in meters, of the object x seconds after it was launched. For which of the following intervals of time was the height of the object increasing for the entire interval?

The relationship between the variables x and y is defined by an exponential equation. When x = 0, the value of y is 30, 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 list gives the number of individuals in each of 8 groups of ring-tailed lemurs.
16 , 9 , 23 , 19 , 22 , 5 , 22 , 27
What is the range of the numbers of individuals for the 8 groups of ring-tailed lemurs?

The function h is defined by h(x) = 5 |x| - 9. What is the value of h(-6)?

If and , what is the value of y?

The scatterplot shows the relationship between two variables, x and y. A line of best fit is also shown.

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 y = 3x - 6,  what is the value of x?

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

If and , what is the value of ?

A right circular cone has a height of 10 centimeters (cm) and a base with a radius of 9 cm. What is the volume, in cm³, of this cone?

A linear model estimates the population of a city from 1993 to 2017. The model estimates the population was 53 thousand in 1993, 224 thousand in 2013, and x thousand in 2017. 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 1992, where . Which statement is the best interpretation of the y-intercept of the graph of this equation in the xy-plane?
y = 500(2)^3x

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 5 resistors connected in series, where the resistance of each resistor is positive. This circuit has a total resistance of 110 ohms. The total resistance of 2 resistors in this circuit is 80 ohms. Which inequality best represents all possible values of the resistance x, in ohms, of one of the other 3 resistors in this circuit?

A family has money in an account for renting movies online. Each time the family rents a movie, the cost of the rental is withdrawn from the account, and each rental costs the same amount of money. The function gives the amount of money, in dollars, in the account after the family has rented m movies. Which of the following represents the amount of money, in dollars, withdrawn from the account each time the family rents a movie?

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?