SAT Pastpaper with Solutions

If and , what is the value of ?

Which expression is equivalent to?

The table shows four values of and their corresponding values of . There is a linear relationship between and . Which of the following equations represents this relationship?

For the polynomial function , a solution to the equation   is , and one of the factors of  is . Which of the following could be the graph of in the -plane?

The three points shown define a circle. The circumference of this circle is , where is a constant. What is the value of ?

The solution to the given system of equations is . What is the value of ?

A scientist studying the life cycle of butterflies counted the number of butterflies in a certain habitat each day for 46 days. On June 15, there were 168 butterflies in the habitat. The percent increase in the number of butterflies in the habitat from May 1 to June 15 was. How many butterflies were in the habitat on May 1?

A rectangle is inscribed in a circle such that the length of the diagonal of the rectangle is twice the length of its shortest side. The circumference of the circle is units. What is the area, in square units, of the rectangle?

For which of the following tables are all the values of and their corresponding values of solutions to the given system of inequalities?

In the -plane, the graph of the given equation is a circle. If this circle is inscribed in a square, what is the perimeter of the square?

For groups of 5 or more people, a tour guide charges for the first person in the group and for each additional person. Which function gives the total charge, in dollars, for a tour with a group of  people, where ?

The function is defined by the given equation, where is a constant. The value of increases by for every increase of by 1 . For which of the following functions, where  is a constant, does the value of increase by for every increase of by ?

A line intersects two parallel lines, forming four acute angles and four obtuse angles. The measure of one of the acute angles is. The sum of the measures of one of the acute angles and three of the obtuse angles is . What is the value of w?

The exponential function is defined by , where and are positive constants. If , where is a constant, what is the value of ?

The area of a rectangular region is increasing at a rate of 180 square centimeters per hour. What is this rate, in square meters per minute?

In the given equation, is an integer. The equation has no real solutions. What is the least possible value of ?

A parallel electric circuit contains four resistors with resistances of ohms, ohms, ohms, and 13 ohms. The given equation relates the resistance , in ohms, of the circuit, to the resistances of the four individual resistors it contains. Which equation correctly expresses in terms of , and ?