SAT Pastpaper with Solutions

A high school teacher recorded the scores of 20 students on a recent math test. The scores are as follows:
72, 85, 90, 78, 88, 92, 76, 81, 95, 84, 77, 89, 91, 83, 79, 86, 94, 80,
82, 87
If the teacher decides to add 5 points to each student's score, how will this affect the mean and median?

What is the sum of the solutions to the given equation?
2

In the given system of equations, a and b are constants. The graphs of these equations in the xy-plane intersect at the point (x, 6). What is the value of b?
ax-by=72
2ax-8y=48

The graph models the number of online newsletter subscribers at the end of every six-month period, where x is the number of six-month periods since the end of January 1992 and 0≤x≤4.Which statement is the best interpretation of the point(1,750) in this context?

Which point (x,y) is a solution to the given inequality in the xy-plane?
y<-4x+12

The solution to the given system of equation is (x,y).What is the value of y ?
x+21y=33
5x+3y=29

In the xy-plane, the graph of the given equation is a circle.What is the length of a radius of this circle?
(x+5)²+(y+8)²=15²

A team of researchers plans to spend no more than 310 hours in total collecting observation data for two projects. For one of the projects, the team will observe at least 13 penguins and will spend 5 hours observing the behavior of each penguin.For the other project, the team will observe at least 16 seals and will spend 6 hours observing the behavior of each seal.Based on this plan, what is the maximum number of penguins the team can observe?

Odalys ordered mulch and river rock,which cost a total of $ 411 , for her home. The given equation represent the relationship between the number of cubic yards of mulch , x , and the number of tons of river rock , y .Odalys ordered. How much more , in dollars did a ton river rock cost Odalys than a cubic yard of mulch?
20.5x+25.75y=411

For the exponential function g. the table shows four values of x and their corresponding values of g(x). Which equation defines g ?

The given equation relates the real numbers b, c, and d, where d > c. Which equation correctly expresses b in terms of c and d?
b²+6c=7d

The ratio of the side length of square A to the side length of square B is 3 to 6 .Square A has aside length of 23 inches. what is the side length, in inches, of square B ?

A marine biologist uses a linear model to estimate the weight of a blue whale after it is born.The model estimates that a certain blue whale weighs 5,910 pounds at birth and gains 10.0 pounds per hour, for 120 hours, after it is born.Based on this model, what is the estimated weight, in pounds, of this blue whale 7 hours after it is born?

In ∆JKL , the measures of both ∠J and ∠K are equal and the measure of ∠L is 124°.What is the measure of ∠J ?

Line j is shown in the xy-plane. Line k(not shown) is parallel to line j and passes through the point (0,8). which equation defines line k?

A piece of a metal alloy called delta metal has a total mass of0 grams. The equation c+z+3.6 = 200.0 relates the mass of copper c, in grams,and the mass of zinc z, in grams, in this piece of metal.If this piece of metal contains 110.0 grams of copper, how many grams of zinc does it contain?

The area of a rectangle is 108 square inches.The length of the longest side of the rectangle is 18 inches. What is the length, in inches, of the shortest side of this rectangle?

Jasmin grows bean pods in her garden. This year, she harvested 480 bean pods and saved 10% of them to plant next year. How many of the harvested bean pods did Jasmin save to plant next year?