SAT Pastpaper with Solutions

If 3r = 18, what is the value of 6r +3?

Which of the following is equal to , for all values of a?

The number of states that joined the United States between 1776 and 1849 is twice the number of states that joined between 1850 and 1900 If 30 states joined the United States between 1776 and 1849 and x states joined between 1850 and 1900 which of the following equations is true?

If = , what is the value of ?

2x − 3y = −14 3x − 2y = −6
If (x, y) is a solution to the system of equations above, what is the value of x − y?

The function f is defined by a polynomial Some values of x and f (x) are shown in the table above Which of the following must be a factor of f (x)?

The line y=kx+4, where k is a constant, is graphed in the xy-plane If the line contains the point (c, D., where c ≠ 0 and d ≠ 0, what is the slope of the line in terms of c and d?

kx−3y =4 4x −5y =7
In the system of equations above, k is a constant and x and y are variables For what value of k will the system of equations have no solution?

In the xy-plane, the parabola with equation Y = (x−11)² intersects the line with equation y = 25 at two points, A and B What is the length of AB?

In the figure above, lines k, l, and m intersect at a point If x+y=u+w, which of the following must be true?
I x=z
II y = w
III z=t

Note: Figure not drawn to scale

y= a(x−2)(x+ 4)
In the quadratic equation above, a is a nonzero constant The graph of the equation in the xy-plane is a parabola with vertex (c,D. Which of the following is equal to d?

The equation = −8x−3− is true for all values of x ≠ , where a is a constant What is the value of a?

What are the solutions to 3x² + 12x + 6 = 0?

C = (F − 32)
The equation above shows how a temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?
I A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of degree Celsius
II A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit
III A temperature increase of degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius

In triangle ABC, the measure of ∠B is 90°, BC = 16, and AC = 20 Triangle DEF is similar to triangle ABC, where vertices D, E, and F correspond to vertices A, B, and C, respectively, and each side of triangle DEF is the length of the corresponding side of triangle ABC What is the value of sin F?

At a lunch stand, each hamburger has 50 more calories than each order of fries If 2 hamburgers and 3 orders of fries have a total of 1700 calories, how many calories does a hamburger have?

Two isosceles triangles are shown above If 180 −z = 2y and y = 75, what is the value of x?
Note: Figure not drawn to scale

If x − x =  + , what is the value of x?