SAT Pastpaper with Solutions

f(x) = x +b In the function above, b is a constant If f(6) = 7, what is the value of f(−2)?

= 6, 4(y+1)=x, If (x, y) is the solution to the system of equations above, what is the value of y?

3(2x + 1)(4x + 1) Which of the following is equivalent to the expression above?

If = , which of the following must also be true?

While preparing to run a marathon, Amelia created a training schedule in which the distance of her longest run every week increased by a constant amount If Amelia's training schedule requires that her longest run in week 4 is a distance of 8 miles and her longest run in week 16 is a distance of 26 miles, which of the following best describes how the distance Amelia runs changes between week 4 and week 16 of her training schedule?

Which of the following equations represents a line that is parallel to the line with equation y = −3x + 4?

= x−4 If a = 2, what is the solution set of the equation above?

if =10, what is the value of t?

x=2y+5 , y=(2x−3)(x+9)
How many ordered pairs (x,y) satisfy the system of equations shown above?

Ken and Paul each ordered a sandwich at a restaurant The price of Ken's sandwich was x dollars, and the price of Paul's sandwich was $1 more than the price of Ken's sandwich If Ken and Paul split the cost of the sandwiches evenly and each paid a 20% tip, which of the following expressions represents the amount, in dollars, each of them paid? (Assume there is no sales tax)

The functions fand g, defined by f(x)=8x²−2 and g(x) =−8x²+ 2, are graphed in the xy-plane above The graphs of fand g intersect at the points(k,0) and (−k,0) What is the value of k?

If the expression above is rewritten in the form a + bi, where a and b are real numbers, what is the value of a? (Note:i=)

X² x = 2p, In the quadratic equation above, k and p are constants What are the solutions for x?

The mesosphere is the layer of Earth's atmosphere between 50 kilometers and 85 kilometers above Earth's surface. At a distance of 50 kilometers from Earth's surface, the temperature in the mesosphere is −5° Celsius, and at a distance of 80 kilometers from Earth's surface, the temperature in the mesosphere is −80° Celsius. For every additional 10 kilometers from Earth's surface, the temperature in the mesosphere decreases by k° Celsius, where k is a constant. What is the value of k?

−3x + 4y = 20 , 6x + 3y = 15
If (x, y) is the solution to the system of equations above, what is the value of x?

x³-5x²+2x-10=0
For what real value of x is the equation above true?

In the triangle above, the sine of x° is 0.6 What is the cosine of y°?

Jim has a triangular shelf system that attaches to his showerhead. The total height of the system is 18 inches, and there are three parallel shelves as shown below. What is the maximum height, in inches, of a shampoo bottle that can stand upright on the middle shelf?