SAT Pastpaper with Solutions

The graph of a system of a linear and a quadratic equation is shown. Which system of equations is represented by the graph?

In triangle ABC, the measure of angle A is 31°, the measure of angle B is 90°, and the measure of angle C is ()°. What is the value of k?

The table shows the linear relationship between the number of cars. c, on a commuter train and the maximum number of passengers and crew.p, that the train can carry. Which equation represents the linear relationship between c and p?

g(x)=5(16x-17)
What is the y-coordinate of the y-intercept of the graph of y =g(x)-5 in the xy-plane?

At the start of an experiment, the pressure inside a container was 18 pounds per square inch(psi). The pressure inside the container doubled every 29 minutes after the start of the experiment. Which equation represents this situation, where y is the pressure, in psi. inside the container z minutes after the start of the experiment?

|x-8|+72=88

What is the sum of the solutions to the given equation?

x²+9x+6=0

One solution to the given equation can be written as x =; where k is a constant. What is the value of K?

A data set of the orbital periods. rounded to the nearest whole number of Earth days. for 13 of Jupiter's moons is represented in the dot plot. An additional moon with an orbital period of 621 days is added to the original data set to create a new data set of 14 orbital periods. Which statement best compares the mean and median of the new data set to the mean and median of the original data set?

The function g is defined by g(x)=9x ,For what value of x is g(x)=63?

In a set of four consecutive odd integers. where the integers are ordered from least to greatest. the first integer is represented by x, The product of 14 and the fourth odd integer is at most 23 less than the sum of the first and third odd integers. Which inequality represents this situation?

If 10+ = , which equation must also be true?

The function f is a quadratic function. In the xy-plane, the graph of y =f(x) has a vertex at (1,6) and passes through the points (2,34) and (-1,118). What is the value of f(-2)-f(0)?

The graph of line g is shown in the xy-plane. Line k is defined by 195x+py=w. where p and w are constants. If line k is graphed in this xy-plane. resulting in the graph of a system of two linear equations, the system of two linear equations will have infinitely many solutions. What is the value of p+w?

Triangles ABC and DEF are similar Each side length of triangle ABC is 3 times the corresponding side length of triangle DEF The area of triangle ABC is 170 square inches. What is the area. in square inches.of triangle DEF?

After 60% of the original number of objects in a group were removed from the group. 300 objects remained in the group. How many objects were removed from the group?

12 .12 .18 .24 .29

What is the median of the data set shown?

y=x-c

y=-2(x-12)²

In the given system of equations,c is a constant. The system has two distinct real solutions. Which of the following could be the value of c?

The perimeter of an isosceles right triangle is 26+26  inches. What is the length. in inches, of the hypotenuse of this triangle?

An object's speed is increasing at a rate of 10.7 meters per second squared. What is this rate, in miles per minute squared, rounded to the nearest tenth? (Use 1 mile = 1,609 meters.)