SAT Pastpaper with Solutions

The function j is defined by j(x)=. What is the value of j(42)?

The speed of a white-throated needletail, a type of bird, in flight was measured to be 79 miles per hour. What was the white-throated needletail's measured speed, in kilometers per hour? (Use 1 mile=1.6 kilometers.)

What is the y-intercept of the graph of y=11^x in the xy-plane?

y=x+19

y=-x+33

The solution to the given system of equations is (x,y). What is the value of 2y?

To cut a lawn, Antwan charges a fee of $15.00 for his equipment and $8.50 per hour spent cutting a lawn. Taylor charges a fee of $12.00 for her equipment and $9.00 per hour spent cutting a lawn. If x represents the number of hours spent cutting a lawn, what are all the values of x for which Taylor's total charge is greater than Antwan's total charge?

The table gives the distribution of favorite core subject and grade level for 80 students.

If a student is selected at random, what is the probability of selecting a student whose favorite core subject is mathematics?

The function f is defined by f(x)=41(0.28)^x. For any positive integer n ,the value of f(n)is p% less than the value of f(n-1). What is the value of p?

5x=75y-125

One of the two equations in a system of linear equations is given. The system has no solution. Which equation could be the second equation in this system?

f(x)=(x-a)(x-b)

The function f is defined by the given equation, where a and bare integer constants. If f(35)>0,f(38)<0, and f(41)>0, which of the following could be the value of a+b?

What are all possible solutions to the given equation?

In the figure, intersects at point R, and  is parallel to . The lengths of and are 9 and 17 units, respectively. The area of △LMR is 45 square units. What is the area of △PQR, in square units?

The cost of renting a power washer is $44 for the first day and $22 for each additional day. Which of the following functions gives the cost C(d), in dollars, of renting the power washer for d days, where d is a positive integer?

A 9-pound cat eats two types of canned cat food:chicken-flavored and duck-flavored.The recommended amount of chicken-flavored food is 2.25 cans per 8 pounds of a cat's weight per day. The recommended amount of duck-flavored food is 0.75 cans per 5 pounds of a cat's weight per day. If c is the number of chicken-flavored cans and d is the number of d-favored cans a 9-pound cat eats in one day, which equation describes all the possible values of c and d for the cat to eat the recommended amount of food based on its weight?

(2x²+8x-6)-(4x²+7x)

The given expression is equivalent to-2x²+ax-6, where a is a constant. What is the value of a?

The table summarizes the number of objects in each group.

The number of objects in group C is p% of the number of objects in group A. What is the value of p?

6x²(3x-16)(3x-u)=0

In the given equation,u is a positive constant. The sum of the solution to the equation is 13. What is the value of u?

x²+9x+5=0

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

If 17-5(4-7x)=4-6(4-7x),what is the value of 4-7x?

A rectangular poster has an area of 360 square inches.A copy of the poster is made in which the length and width of the original poster are each increased by 40%.What is the area of the copy,in square inches?