SAT Pastpaper with Solutions

The function g is defined by g(x)=-7x+80, What is the value of g(x) when x =-2?

Each face of a fair 12-sided die is labeled with a number from 1 through 12, with a different number appearing on each face. If the die is rolled one time, what is the probability of rolling a 2?

6x+28=6x+k

In the given equation, k is a constant. The equation has infinitely many solutions. What is the value of k?

Jasmin grows bean pods in her garden. This year, she harvested 490 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?

A triathlon is a multisport race consisting of three different consecutive events. A triathlon participant plans to complete the cycling event with an average speed of 19,008 yards per hour. What is this average speed, in  miles per hour? (1 mile =1,760 yards)

Dan bought some apples and oranges. The apples cost $0.79 per pound, and the oranges cost $0.99 per pound. If Dan spent $24.93 in total and bought twice as many pounds of oranges as pounds of apples, how many pounds of oranges did Dan buy?

Triangle R has an area of 80 square centimeters(cm²). Square S has side lengths of 4 cm. What is the total area of triangle R and square S, in cm²?

y=3x+4

y=2x+9

The solution to the given system of equations is (x,y). What is the value of x?

The scatterplot shows the relationship between two variables, a and y

Which of the following equations is the most appropriate linear model for the data shown?

A rectangle has a length that is 24 times its width. The function y=(24w)(w)represents this situation, where y is the area, in square feet, of the rectangle and y>0, Which of the following is the best interpretation of 24w in this context?

f(x)=1,300

The function f models the intensity of a beam,f(x), in number of photons in the beam, x millimeters below the surface of a certain material. According to the model, what is the number of photons in the beam when it is at the surface of the material?

The gas mileage of a certain car is 22 miles per gallon when driven on the highway. If the car begins with 8 gallons of gas in the tank, which function predicts the amount of gas remaining in the tank, f(d), after the car is driven d miles on the highway?

In triangle DEF, the measure of angle D is 46°and the measure of angle E is 104°. In triangle RST, the measure of angle R is 46°and the measure of angle S is 104°. Which of the following additional pieces of information is needed to determine whether triangle DEF is similar to triangle RST?

What is the slope of the graph of y=(19x+19)+7x in the xy-plane?

One of the two equations in a system of linear equations is given. The system has no solution. Which of the following could be the second equation in this system?
y=-4x-2

A linear model estimates the population of a city from 1992 to 2016, The model estimates the population was 61 thousand in 1992; 217 thousand in 2012, and x thousand in 2016. To the nearest whole number, what is the value of x?

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 a?

y=-1 .5

y=x²+4x+a

In the triangle shown.RS = .What is the value of sin R?

The graph of the given equation is a circle in the xy-plane. The point (a,b)lies on the circle. Which of the following is a possible value for a?

f(x)=8(7)^x

The function f is defined by the given equation. If g(x)=f(x+2), which of the following equations defines the function g?