SAT Pastpaper with Solutions

Line k is shown in the xy-plane. Line n (not shown) is perpendicular to line k and passes through the point (4,7). Which equation defines line n?

Trapezoid CDEF is similar to trapezoid JKLM, such that C, D, E, and F correspond to J, K, L, and M, respectively. The length of each side of trapezoid JKLM is 4 times the length of its corresponding side in trapezoid CDEF. The measure of angle C is 42°. What is the measure of angle J?

For the linear function f, the table shows three values of x and their corresponding values of f(x). Function f is defined by f(x)=rx+s, where r and s are constants. What is the value of rs?

A computer program models the total mass of the population of a certain type of algae after the algae was placed in an environment where it has no natural predators. According to the model, the estimated total mass of this population of algae at the end of every 6-hour period is 129% greater than the estimated total mass of this population of algae at the beginning of every 6-hour period, and the estimated total mass of this population of algae is 613.90 grams after 18 hours. Which equation best represents this model, where A is the estimated total mass, in grams, of the population of algae after x hours, and x<50?

What is an equation of the graph shown?

The solution to the given system of equations is (x,y). Which of the following is the correct solution?

The table gives the perimeters of similar triangles TUV and XYZ, where corresponds to . The length of is 9.

What is the length of ?

x(x+9)−13=0

What are the solutions to the given equation?

The positive number a is 290% of the number b, and a is 90% of the number c. If c is p% of b, which of the following is closest to the value of p?

The measure of angle F is radians. If the measure of angle F is 6n degrees, where n is a constant, what is the value of n?

In a computer application, the area of a figure on the screen increases over time. This area, in pixels, is given by the function A(t)=16(2)^t, where t is the number of seconds after the area of the figure begins increasing. Which statement is the best interpretation of A(7)=2,048 in this context?

For the linear function f, f(1)=654 and f(2)=648. Which of the following defines f?

The table gives the average time t, in minutes, it takes Adriana to travel a certain distance d, in miles. Which equation could represent this linear relationship?

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?

A wireless phone company pays customers for trading in old smartphones. The payment p, in dollars, is the original retail price of a smartphone minus $135 for each year since the smartphone was released. Which equation represents this situation for a smartphone with an original retail price of $750 when it was released t years ago, where t is a whole number and 1≤t≤4?

A soccer team's goal is to earn at least $1,170 by selling coupon books. The team earns $9 from selling each coupon book. Which of the following inequalities describes all possible values for the number of coupon books, n, the team can sell to meet the goal?

The scatterplot shows the relationship between two variables, x and y.

Which of the following equations is the most appropriate linear model for the data shown?

A car dealership has only sedans, SUVs, and minivans for sale. On Monday, 20% of the vehicles for sale were sedans and 50% were SUVs. If there were 62 sedans for sale at the dealership on Monday, how many minivans were for sale?

f(x)=x²−12x+30

What is the minimum value of the given function?

2∣5x−5∣=11

What is the sum of the solutions to the given equation?

In right triangle ABC, the tangent of ∠C is 3/4. What is the length of AB?