SAT Pastpaper with Solutions

What are all possible solutions to the given equation?

The function is defined by . What is the value of when ?

In the figure shown, line m is parallel to line n , and line k intersects both lines. Which of the following statements is true?

The function is defined by What is the value of ?

In the given system of equations, a is a positive integer constant. The system has no real solutions. What is the least possible value of  ?

The expression is equivalent to , where is a constant. What is the value of ?

A teacher is creating an assignment worth 28 points. The assignment will consist of questions worth 1 point and questions worth 2 points. Which equation represents this situation, where represents the number of 1-point questions and represents the number of 2-point questions?

The scatterplot shows the relationship between two variables, and . A line of best fit is also shown.

Which of the following is closest to the slope of the line of best fit shown?

Triangle shown is a right triangle. Which of the following has the same value as ?
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Sam opened a savings account at a bank. The table shows the exponential relationship between the time , in years, since Sam opened the account and the total amount , in dollars, in the account. If Sam made no additional deposits or withdrawals, which of the following equations best represents the relationship between and ?

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?

In the given system of equations, a is a constant. The graphs of the equations in the given system intersect at exactly one point,(x,y), in the xy-plane. What is the value of x?

y = 2x² - 19x + 40
y = x + a

Line in the -plane is defined by and passes through the points and , where and are constants. What is the value of ?

The function gives the number of bacteria in a population minutes after an initial observation. How much time, in minutes, does it take for the number of bacteria in the population to double?

Square has a side length of inches. Square has a perimeter that is 32 inches greater than the perimeter of square The function gives the area of square , in square inches. Which of the following defines ?

How many solutions does the given system of equations have?

Circle has a radius of and circle has a radius of . The area of circle is how many times the area of circle ?

The function is defined by , where is a constant. In the -plane, the graph of   passes through the point . What is the value of ?

A circle in the -plane has a diameter with endpoints and , where  and are constants. An equation of this circle is , where is a positive constant. What is the value of   ?