SAT Pastpaper with Solutions

In the xy-plane, the graph of is a line that passes through and has a slope of 5 . 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 70, 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?

The function h is defined by . What is the value of?

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 , what is the value of x?

How many centimeters are equivalent to 21 meters? ( 1 meter = 100 centimeters)

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

Alex bought 10 books that were each the same price. He uses a coupon and gets a 75% discount. The cost for the entire purchase after using the coupon was $ 30. What was the original price, in dollars, for 1 book?

A linear model estimates the population of a city from 1996 to 2020. The model estimates the population was 61 thousand in 1996, 225 thousand in 2016, and x thousand in 2020. 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 1991, where . Which statement is the best interpretation of the y-intercept of the graph of this equation in the xy-plane?
y = 500(3)^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 5 resistors connected in series, where the resistance of each resistor is positive. This circuit has a total resistance of 90 ohms. The total resistance of 2 resistors in this circuit is 60 ohms. Which inequality best represents all possible values of the resistance x, in ohms, of one of the other 3 resistors in this circuit?

In the given system of equations, a is a positive integer constant. The system has no real solutions. What is the least possible value of a?
y = -0.5
y = x² + 8x + a

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?

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?