SAT Pastpaper with Solutions

A television with a price of $300 is to be purchased with an initial payment of $60 and weekly payments of $30. Which of the following equations can be used to find the number of weekly payments, w, required to complete the purchase, assuming there are no taxes or fees?

The table above shows shipping charges for an online retailer that sells sporting goods. There is a linear relationship between the shipping charge and the weight of the merchandise. Which function can be used to determine the total shipping charge f(x), in dollars, for an order with a merchandise weight of x pounds?

The line in the xy-plane above represents the relationship between the height h (x), in feet, and the base diameter x, in feet, for cylindrical Doric columns in ancient Greek architecture. How much greater is the height of a Doric column that has a base diameter of 5 feet than the height of a Doric column that has a base diameter of 2 feet?

If x > 0, which of the following is equivalent to the given expression?

 = - 2

What are all values of x that satisfy the equation above?

The graph of y = f (x) is shown in the xy-plane. What is the value of f(0)?

In the figure above, point B lies on AD . What is the value of 3x?

Which of the following is an equation of line in the xy - plane above?

The graph of y =2 + 10x + 12 is shown. If the graph crosses the y-axis at the point ( 0, k), what is the value of k?

A circle in the xy-plane has center (5, 7) and radius 2.
Which of the following is an equation of the circle?

In the figure below, triangle ABC is similar to triangle DEF. What is the value of cos(E )?

In the xy-plane, the graph of the function f (x ) = + 5x + 4 has two x-intercepts. What is the distance between the x-intercepts?

=x - 3

What are all values of x that satisfy the given equation?

I . 1

II .  9

-3 +y = 6

ax + 2y =4

In the system of equations above, a is a constant. For which of the following values of a does the system have no solution?

T= 5c +12f

A manufacturer shipped units of a certain product to two locations. The equation above shows the total shipping cost T, in dollars, for shipping c units to the closer location and shipping f units to the farther location. If the total shipping cost was $47,000 and 3000 units were shipped to the farther location, how many units were shipped to the closer location?

= 5

If a and b are the solutions to the equation above, what is the value of ?

Juan purchased an antique that had a value of $200 at the time of purchase. Each year, the value of the antique is estimated to increase 10% over its value the previous year. The estimated value of the antique, in dollars, 2 years after purchase can be represented by the expression 200a, where a is a constant. What is the value of a?

2x + 3y = 1200

3x + 2y = 1300

Based on the system of equations above, what is the value of 5x + 5y?

If u + t =5 and u - t =2, what is the value of (u - t )( u²- t² )?