SAT Pastpaper with Solutions

x + y = 0 3x − 2y = 10
Which of the following ordered pairs (x, y) satisfies the system of equations above?

A landscaping company estimates the price of a job, in dollars, using the expression 60 + 12nh, where n is the number of landscapers who will be working and h is the total number of hours the job will take using n landscapers. Which of the following is the best interpretation of the number 12 in the expression?

Which of the following is equivalent to the expression shown above?

− x = 0If k > 0 and x = 7 in the equation above, what is the value of k?

In the xy-plane above, line ℓ' is parallel to line k. What is the value of p?

If =x¹⁶, x > 1, and a + b = 2, what is the value of a − b?

nA = 360
The measure A, in degrees, of an exterior angle of a regular polygon is related to the number of sides, n, of the polygon by the formula above. If the measure of an exterior angle of a regular polygon is greater than 50°, what is the greatest number of sides it can have?

The graph ofaline in the xy-plane has slope 2 and contains the point (1, 8). The graph of a second line passes through the points (1, 2) and (2, 1). If the two lines intersect at the point (a, B., what is the value of a + b?

Which of the following equations has a graph in the xy-plane for which y is always greater than or equal to −1?

Which of the following complex numbers is equivalent to ? (Note: i = )

R =
A website uses the formula above to calculate a seller's rating, R, based on the number of favorable reviews, F, and unfavorable reviews, N Which of the following expresses the number of favorable reviews in terms of the other variables?

What is the sum of all values of m that satisfy 2m² − 16m + 8 =0?

A radioactive substance decays at an annual rate of 13 percent. If the initial amount of the substance is 325 grams, which of the following functions f models the remaining amount of the substance, in grams, t years later?

The expression is equivalent to which of the following?

ax+ by=12
2X + 8y = 60
In the system of equations above, a and b are constants. If the system has infinitely many solutions, what is the value of a/b?

In the xy-plane above, O is the center of the circle, and the measure of ∠AOB is radians. What is the value of a?

In the figure above, AE I CD and segment AD intersects segment CE at B What is the length of segment CE ?

2x(3x +5) +3(3x +5) = ax² + bx + c

In the equation above, a, b, and c are constants. If the equation is true for all values of x, what is the value of b?

The sales manager of a company awarded a total of $3000 in bonuses to the most productive salespeople. The bonuses were awarded in amounts of $250 or$750 If at least one $250 bonus and at least one $750 bonus were awarded, what is one possible number of $250 bonuses awarded?