SAT Pastpaper with Solutions

The table shows the amount of time it took a participant in a study to complete each of 5 tasks.What was the mean time,in minutes,for this participant to complete a task?

The function f is defined by f(x)=-12x+28. What is the y-coordinate of the y intercept of the graph of y=f(x)in the xy-plane?

f9(x+4)=81, what is the value of x+4?

The graph of the polynomial function fin the xy-plane, where y=f(x), has x intercepts of (-9,0) and (6,0). Which of the following must be true?

y>7x-4
For which of the following tables are all the values of x and their corresponding values of y solutions to the given inequality?

When the linear function h is graphed in the xy-plane, where y = h(x), its slope is -2. lf h(7) =3, which equation defines h?

A linear model estimates the population of acigtton1994to 2018 .the model estimates the population was 60 thousand in 1994,217 thousand in 2014,and x thousand in 2018 .To the nearest whole number,what is the value of x?

x+5y=32
x+5y=28
The solution to the given system of equations is (x,y),What is the value of x+15y

What are all the solutions to the given equation

According to a set of standards, pure biodiesel fuel can contain a maximum of 0.001% phosphorus by mass. If a sample of pure biodiesel fuel has a mass of 240 grams, what is the maximum mass, in grams, of phosphorus the sample can contain to meet these standards?

A proposal for a construction project was included on a city election ballot. A TV news report stated that 6 times as many people voted in favor of the proposal as people who voted against it. An internet article reported that 32,500 more people voted in favor of the proposal than voted against it. Based on these data, how many people voted against the proposal?

x²-24x+c=0
In the given equation, c is a constant The equation has no real solutions if c>n. What is the least possible value of n?

The function f is defined by f(x)= a^x +b, where a and b are constants. In the xy-plane, the graph of y= f(x)has an x-intercept at (2, 0) and a y-intercept at (0, -120). What is the value of b?

The area of a triangle is equal to x² square centimeters, The length of the base of the triangle is 2x+ 7 centimeters, and the height of the triangle is x-3 centimeters, What is the value of x?

y=-4x²-47

y=qx-43

In the given system of equations, q is a positive 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?

27x²+(27s+r)x+rs=0
In the given equation, r and s are positive constants The product of the solutions to the given equation is krs, where k is a constant, What is the value of k?

The cost of renting a piece of construction equipment for up to 10 days is  $330 for the first day and $165 for each additional day.Which of the following equations gives the cost y,in dollars,of renting the equipment for x days,where x is a positive integer and x≤10?

In the figure, parallel lines a and b are intersected bylines c, d, and e. lf z = 71, y= 114, and v<z, which statement about x and w must be true?