SAT Pastpaper with Solutions

The graph above shows the distance traveled d, in feet, by a product on a conveyor belt m minutes after the product is placed on the belt. Which of the following equations correctly relates d and m?

The formula below is often used by project managers to compute E, the estimated time to complete a job, where O is the shortest completion time, P is the longest completion time, and M is the most likely completion time.

Which of the following correctly gives P in terms of E, O, and M?

In the figure above, RT = TU. What is the value of x?

The width of a rectangular dance floor is w feet. The length of the floor is 6 feet longer than its width. Which of the following expresses the perimeter, in feet, of the dance floor in terms of w?

y > 2x − 1

2x > 5

Which of the following consists of the y-coordinates of all the points that satisfy the system of inequalities above?

What is the solution set of the equation above?

Which of the following expressions is equivalent to  , for x > 3?

(x −6)² + (y +5)² = 16 In the xy-plane, the graph of the equation above is a circle Point P is on the circle and has coordinates ( 10, −5) If PQ is a diameter of the circle, what are the coordinates of point Q?

A group of 202 people went on an overnight camping trip, taking 60 tents with them Some of the tents held 2 people each, and the rest held 4 people each Assuming all the tents were filled to capacity and every person got to sleep in a tent, exactly how many of the tents were 2-person tents?

If = ,what is the value of ?

Oil and gas production in a certain area dropped from 4 million barrels in 2000 to 1.9 million barrels in 2013 Assuming that the oil and gas production decreased at a constant rate, which of the following linear functions f best models the production, in millions of barrels, t years after the year 2000?

g(x)=2x−1 h(x)=1−g(x)
The functions g and h are defined above What is the value of h(0 )?

x²+x−12=0
If a is a solution of the equation above and a > 0, what is the value of a?

The sum of −2x² + x+ 31 and 3x² +7x−8 can be written in the form ax²+bx+ c, where a, b, and c are constants What is the value of a+b+c

−x+y = −3.5 x+ 3y = 9.5
If ( x, y) satisfies the system of equations above, what is the value of y?

A start-up company opened with 8 employees The company's growth plan assumes that 2 new employees will be hired each quarter (every 3 months) for the first 5 years If an equation is written in the form y = ax +b  to represent the number of employees, y, employed by the company x quarters after the company opened, what is the value of b?

In the circle above, point A is the center and the length of arc BC is 2/5 of the circumference of the circle What is the value of x?