SAT Practice Questions

An object is launched into the air from ground level. According to a quadratic model, \(3.8\) seconds after the object is launched, it reac…

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 …

The given function \(f\) models the balance of a bank account, in dollars, \(x\) years after it is opened. Which statement is the best inte…

Line \(j\) is shown in the \(xy\)-plane. Line \(k\) (not shown) is parallel to line \(j\) and passes through the point \((0,5)\). Which equ…

In the figure shown, the length of \(\overline{AB}\) is \(66\). Which statement provides sufficient information to prove that triangle \(AB…

If 310% of \(n\) is 62, what is the value of \(n\)?

For the linear function \(f\), the graph of \(y=f(x)\) in the \(xy\)-plane has a slope of \(1\) and passes through the point \((0,25)\). Wh…

The amount of money owed on a certain type of loan has two components: the principal balance of the loan and the amount of interest accrued…

If \(a=4k+7r\) and \(b=9k-11r+5\) which expression is equivalent to \(a - b\)?

In the given equation, \(c\) is a constant. The equation has infinitely many solutions. What is the value of \(c\)?

Which quadratic equation has exactly one distinct real solution?

What is the \(y\)-intercept of the graph of \(y=p(x)\) in the \(xy\)-plane?

During an experiment, the temperature, in degrees Celsius \(^{\circ}\text{C}\) of a mixture was recorded to the nearest integer at certain …

Data set A, which consists of the 5 values shown, has a mean of 44 and a standard deviation of approximately 14.10. Data set B consists of …

A right square pyramid has a surface area of 75,264 square inches, which includes a base area of 36,864 square inches. What is the slant he…

A company developed a plan to set the selling price of a product. The company determined that for a selling price of \$150.00, zero product…

How many distinct real solutions does the given equation have?

As the size of a firework's shell increases, the height above the ground when the firework bursts increases. For a firework to burst 1,075 …

One solution to the given equation can be written as \(x=\frac{-s-\sqrt{t}}{2}\) where \(s\) and \(t\) are positive integers. What is the v…

Right rectangular prism X is similar to right rectangular prism Y. The surface area of right rectangular prism X is \(52\) square centimete…

In the given expression, \(b\) is a positive integer. If \(qz^9+r\) is a factor of the expression, where \(q\) and \(r\) are positive integ…

The cost of renting a piece of equipment is $\(46n\) for the first day and $\(23n\) for each additional day, where \(n\) is a positive inte…

A choir of 48 singers has 12 members who sing bass. If one singer from the choir is selected at random, what is the probability of selectin…

A store owner recorded the number of units of a certain product that were sold per day for 28 days. What is the minimum number of units of …

The function T estimates the temperature, in degrees Fahrenheit (F), in a certain city one day in January, where x is the number of hours a…

The graph of the function f in the xy-plane, where \(y=f(x)\), has x-intercepts of (-5,0), (3, 0), and (6,0). Which of the following must b…

If \(f(x)=x+2\) and \(g(x)=2x\) what is the value of \(3f(-5)-g(-5)\)?

A botanist wants to plant certain types of oak trees and pine trees in a row. Each of these oak trees requires 40 feet of space to grow, an…

The number of bacteria in a liquid medium doubles every day. There are 72,000 bacteria in the liquid medium at the start of an observation.…

For a certain isotope, at the end of every 29-year period, the mass of a sample of the isotope has decayed to half its mass at the beginnin…

In the figure shown, line r is parallel to line s, and both lines are intersected by line t. If \(x=2w+24\), \(y=5w+29\) and \(7w=a\) where…

The functions f and g are given. In function g, r is a constant. If \(f(x) \cdot g(x)=3x^{3}+192\), what is the value of r?

Which quadratic equation has exactly one distinct real solution?

The positive number \(a\) is 2,800% of the number \(c\), and \(c\) is 20% of the number \(b\). What is the value of \(a-b\) in terms of \(c…

A circle is inscribed in a square such that the circumference of the circle touches the midpoint of each side of the square. The length of …

Lines h and k are graphed in the xy-plane. The graph of line h has a slope of \(\frac{5}{3}\) and an x-intercept at (17,0). Line k is the r…

For each of two rectangles, the ratio of the rectangle's length to its width is 10 to 5. The width of rectangle X is 16.5 times the width o…

What is the solution to the given equation?

Point N lies on a unit circle in the xy-plane and has coordinates (1,0). Point O is the center of the circle and has coordinates (0,0). Poi…

Rectangle ABCD is similar to rectangle EFGH. The area of rectangle ABCD is 648 square inches, and the area of rectangle EFGH is 72 square i…

For each real number r, which of the following points lies on the graph of each equation in the xy-plane for the given system?

In the given expression, b is a positive integer. If \(qz^{7}+r\) is a factor of the expression, where q and r are positive integers, what …

If \(\frac{x-4}{5}=\frac{x-4}{7}\) the value of \(x-4\) is between which of the following pairs of values?

A computer repair specialist charges \$160 for the first two hours of repair plus an hourly fee for each additional hour. The total cost fo…

The graph of the function \(f\) is shown, where \(y=f(x)\). What is the value of \(f(0)\)?

In the figure, two lines intersect at a point. If \(r=61\), what is the value of \(s\)?

The function \(f\) is defined by \(f(x)=5x^2\). What is the value of \(f(7)\)?

Which expression is equivalent to \(6x(x+3)\)?

The function \(f\) is defined by \(f(x)=3x^5\). In the xy-plane, the graph of \(y=g(x)\) is the result of shifting the graph of \(y=f(x)\) …

For the linear function \(f\), the graph of \(y=f(x)\) in the xy-plane has a slope of \(69\) and \(f(0)=3\). Which equation defines \(f\)?

\(5\%\) of \(w\) is \(741.41\). What is the value of \(w\)?

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

\(W(x)=4x+80\) The function \(W\) gives the total time, in minutes, it takes for a gardener to water \(x\) plants and mow the grass. Accord…

\(19=x+y\) \(x-y=9\) The solution to the given system of equations is \((x, y)\). What is the value of \(x\)?

\(x^2-16x+y^2-10y-55=0\) In the xy-plane, the graph of the given equation is a circle. If this circle is inscribed in a square, what is the…

If \(5(3x+6)=3(3x+6)+78\), what is the value of \(3x+6\)?

If \(f(x)=x+5\) and \(g(x)=5x\), what is the value of \(7f(4)-g(4)\)?

\(C(t)=240(\frac{53}{52})^{t-15}+7\) The function \(C\) gives the estimated number of cephalopods, a class of marine animal, in a certain a…

An object moves at a speed of \(\frac{3}{17}\) feet per second. What is this speed in yards per second? (3 feet = 1 yard)

For the linear function \(g\), the table shows four values of \(x\) and their corresponding values of \(g(x)\). The function can be written…

The current value of a house is $174,000, and this value increases by 2.4% each year from the value of the previous year. Which function \(…

What is the value of \(\sin(18\pi)\)?

In triangle \(QRS\) shown, \(QR<RS\). Which expression represents the length of \(QS\)?

\(\frac{1}{9}x-\frac{3r}{7}y=34\) One of the equations in a system of two linear equations is given, where \(r\) is a nonzero constant. The…

A machine makes 8-inch, 9-inch, and 3-inch parts. During a certain day, the number of 8-inch parts that the machine makes is \(4\) times th…

The shaded region shown in the graph represents all the solutions to which inequality?

\(3.5c+7d=266\) The given equation describes the relationship between the number of cats, \(c\), and the number of dogs, \(d\), that can be…

\(y=3^{(x-1)}-6\) For which of the following tables are all the values of \(x\) and their corresponding values of \(y\) solutions to the gi…

For a survey, a sample of \(1,018\) people was selected at random from all registered voters in a county. Based on the survey, it is estima…

The gas mileage of a certain car is \(35\) miles per gallon when driven on the highway. If the car begins with \(10\) gallons of gas in the…

The function \(f\) is defined by \(f(x)=50x\). For what value of \(x\) is \(f(x)=150\)?

The graph of the linear equation \(10x+By=50\) is shown, where \(B\) is a constant. What is the value of \(B\)?

The scatterplot shows the relationship between two variables, \(x\) and \(y\). Which of the following equations is the most appropriate lin…

\(4x^2+5x-5=0\) What is the greatest solution to the given equation?

\(y \le x+15\) \(y \ge -4x-15\) Which point \((x, y)\) is a solution to the given system of inequalities in the xy-plane?

A researcher created a data set by recording the daily low temperature, to the nearest integer, for each of the \(31\) days in December 202…

An equilateral triangle has a height of \(47\sqrt{3}\) units. What is the length, in units, of one side of this triangle?

Line \(s\) in the xy-plane is defined by \(8x+2y=0\). Line \(t\) is perpendicular to line \(s\) and passes through the points \((6, 0)\) an…

For all positive values of \(x\) and \(y\), the given expression is equivalent to which of the following? \(\frac{\sqrt[3]{x^{17}y^5}}{5x^2…

\(f(x)=2,000(1.005)^{3x}\) The given function \(f\) models the balance of a bank account, in dollars, \(x\) years after it is opened. Which…

The length of each edge of a box is \(48\) centimeters. Each side of the box is in the shape of a square. The box does not have a lid. What…

A square map has a side length of \(55\) inches, and \(1\) inch on the map represents an actual distance of \(13\) miles. A larger version …

\(\frac{4}{9}(4x+9)(x+\sqrt{4k+9})(x-\sqrt{4k+9})=0\) In the given equation, \(k\) is a positive constant. The product of the solutions to …

Which expression is equivalent to \(10(x+3)\)?

In isosceles triangle \(ABC\), sides \(AB\) and \(AC\) are congruent. Point \(D\) divides side \(BC\) such that the length of \(\overline{B…

The area of a rectangular region is increasing at a rate of \(270\) square feet per hour. Which of the following is closest to this rate in…

\(x(kx-112)=-16\) In the given equation, \(k\) is an integer constant. If the equation has two distinct real solutions, what is the greates…

Which choice completes the text with the most logical and precise word or phrase?

As used in the text, what does the word "display" most nearly mean?

Which choice completes the text with the most logical and precise word or phrase?

Which choice completes the text with the most logical and precise word or phrase?

Which choice best describes the function of the underlined portion of the text?

Which choice best states the main purpose of the text?

Which choice best states the main purpose of the text?

Which choice most effectively uses data from the table to complete the statement?

Which finding, if true, would most directly weaken the underlined claim?

Which choice best describes data from the table that weaken the student's claim?

Which finding from the study, if true, would most directly support the researchers' conclusion?

Which choice most logically completes the text?

Which choice most logically completes the text?