SAT Practice Questions

A circle has a radius of 19 meters. What is the area, in square meters, of the circle?

The given equation relates the variables \(p\) and \(c\), where \(c\) is positive. Which equation correctly expresses \(c\) in terms of \(p…

The function \(f\) is defined by \(f(x) = 98x\). What is the slope of the graph of \(y = f(x)\) in the \(xy\)-plane?

A linear model estimates the population of a city from 1993 to 2017. The model estimates the population was 52 thousand in 1993, 219 thousa…

Which of the following is a solution to the given equation?

In the figure shown, point \(T\) lies on segment \(SW\), and segment \(TU\) is parallel to segment \(VW\). The measure of angle \(V\) is \(…

On January 1, there were 233 views of a video posted on a social media site. Every 2 days after January 1, the number of views of the video…

The shaded region shown represents the solutions to the inequality \(ry < 128\), where \(r\) is a constant. What is the value of \(r\)?

How many solutions does the equation \(4(16x - 20) = -16(5 - 4x)\) have?

The function \(f\) gives the value, in dollars, of a certain piece of equipment after \(x\) months of use. If the value of the equipment de…

A beekeeper's initial observation of the population of a certain bee colony was 1,100 bees. The beekeeper set a goal to increase the popula…

What is an equation of the graph shown?

Which expression is a factor of \(36x^2(x + 12) - 36(x + 12)^3\)?

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 exponential function \(f\) is defined by \(f(x) = ab^x\), where \(a\) and \(b\) are positive constants. If \(f(s) = t\) and \(f(s + 1) …

A container has a volume of 0.84 cubic meters. Which of the following is closest to this volume, in quarts?

Function \(f\) is a quadratic function. The graph of \(y = f(x)\) in the \(xy\)-plane has a vertex at \((4, -6)\), contains the point \((3,…

In the given equation, \(b\) is an integer. The equation has no real solutions. What is the least possible value of \(b\)?

A researcher investigated two species of mites: a predator and its prey. At the start of a week, there was an equal number of the two speci…

If \(6x+36=18\), what is the value of \(x+6\)?

An adult elephant drinks by pulling water up into its trunk and then emptying the water into its mouth. If an adult elephant pulls between …

For a certain classification, the positive mass m, in grams, of an object must be less than 620 grams. Which inequality represents this sit…

The perimeter of an obtuse triangle is 32 meters. The lengths of two sides of this triangle are 8 meters and 9 meters. What is the length, …

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 th…

A group of 80 employees selected at random from all the employees at a company were surveyed about the number of books they read last year.…

Which expression is equivalent to \((6x^3 - 6x + 4) - (7x^6 + 7x - 2)\)?

The function \(f(x)=180(x-2)\) gives the sum of the interior angles, in degrees, for a polygon with x sides. What is the sum of the interio…

For the function h, the table gives three values of x and their corresponding values of \(h(x)\). Which equation could define h?

If the given function f is graphed in the xy-plane, where \(y=f(x)\), what is an x-intercept of the graph?

The solution to the given system of equations is \((x,y)\). What is the value of \(6x+6y\)?

In triangle DEF, the measure of angle D is \(43^{\circ}\) and the measure of angle E is \(112^{\circ}\). In triangle RST, the measure of an…

The solutions to the given system of equations are of the form \((x,y)\). What is a possible value of \(x\)?

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

The roofs on the buildings of a public garden are designed to allow water to drain into the garden. The table shows the relationship betwee…

A circle has center O, and points A and B lie on the circle. The measure of arc AB is \(36^{\circ}\) and the length of this arc is 3 inches…

While the mass of an object is the same everywhere, the weight of an object is not the same on different planets. An object has a weight of…

In the given system of equations, w is a constant. In the xy-plane, the graphs of these equations intersect at the point (q, 19), where q i…

Each day Daniela takes a 30-minute morning walk. The equation \(s = 70m + 285\) models the total number of steps, s, Daniela has taken one …

The equation gives the estimated stock price y, in dollars, for a certain company x days after the company went public, where \(0 \le x \le…

One of the equations in a system of two linear equations is given. The system has infinitely many solutions. If the second equation in the …

The graph shows the total amount of rainfall y, in centimeters, from the start of a 10-hour period, where x is the number of hours after th…

A total of 3 squares each have side length r. A total of 6 equilateral triangles each have side length t. None of these squares and triangl…

How many solutions does the given equation have?

The given equation relates the real numbers x, y, and z, where \(x 0\). Which equation correctly expresses z in terms of x and y?

The scatterplot shows 5 measurements of the body length, in centimeters (cm), of a New Zealand fur seal from an age of 1 year to 6 years ol…

The function f gives the product of a number, x, and a number that is 62 more than x. Which equation defines f?

In the given equation, b and c are positive constants. The equation has more than one real solution. Which of the following describes the r…

In the given expression, a and c are positive constants. If \(px+q\) is a factor of the expression, where p and q are positive constants, w…

The equation \(N(m)=65(Q)^{\frac{m}{6}}\) gives the predicted population \(N(m)\), in thousands, of a certain bacteria colony m minutes aft…

In the xy-plane, a circle has center \(C\) with coordinates \((h,k)\). Points \(A\) and \(B\) lie on the circle. Point \(A\) has coordinate…

The lengths represented by \(\overline{ST}\), \(\overline{QP}\), \(\overline{PR}\), and \(\overline{QR}\) in the figure are 6, 16, 30, and …

An object's speed is increasing at a rate of 6.10 meters per second squared. What is this rate, in miles per minute squared, rounded to the…

In the given equation, c is a constant. A solution to the equation is \(\frac{9-\sqrt{725}}{14}\). What is the value of c?

In the figure, line \(n\) intersects lines \(r\) and \(s\). Line \(r\) is parallel to line \(s\). What is the value of \(x\)?

During a portion of a flight, a small airplane's cruising speed varied between 180 miles per hour and 190 miles per hour. Which inequality …

If \(4x=6\) what is the value of \(12x\)?

\(x^{2}-6x+y^{2}-12y-36=0\) In the \(xy\)-plane, the graph of the given equation is a circle. If this circle is inscribed in a square, what…

Which expression is equivalent to \((x^{3}+6x^{2}-8x)+8(x^{2}+4)\)?

The function \(f\) is defined by \(f(x)=x^{3}+17\). What is the value of \(f(2)\)?

The function \(g\) is defined by \(g(x)=\frac{x}{2}\). For what value of \(x\) does \(g(x)=244\)?

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

\(5x-4y=-20\) For the given equation, which table gives three values of \(x\) and their corresponding values of \(y\)?

A chemist combines water and isopropanol to make a mixture with a volume of \(52\) milliliters (mL). The volume of isopropanol in the mixtu…

\(y=-\frac{1}{3}x\) \(y=\frac{1}{5}x\) The solution to the given system of equations is \((x,y)\). What is the value of \(x\)?

A company has a customer loyalty program. In January 2018, there were 900 customers enrolled in the loyalty program. For the next 24 months…

The function \(f(t)=10,000(2)^{\frac{t}{350}}\) gives the number of bacteria in a population \(t\) minutes after an initial observation. Ho…

\(y=\frac{3}{8}x+7\) One of two equations in a system of linear equations is given. The system has infinitely many solutions. What is the s…

If \(x^{2}-6x-9=0\), what is the value of \(x^{2}-6x\)?

The function \(f\) is defined by \(f(x)=(x-5)(x-8)(x+k)\), where \(k\) is a constant. In the \(xy\)-plane, the graph of \(y=f(x)\) passes t…

Line \(k\) is shown in the \(xy\)-plane. Line \(j\) (not shown) is perpendicular to line \(k\) and passes through the point \((-12,-19)\). …

What is the median of the data set shown?

In right triangle ABC, angles A and B are acute, side AC has a length of 21.7, and \(\tan B=\frac{1}{8}\). What is the length of side BC, r…

A rectangular banner has an area of 2,500 square inches. A copy of the banner is made in which the length and width of the original banner …

\(f(x)=(x-2)^{2}+9\) What is the minimum value of the given function?

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

Which of the following is a graph of a decreasing exponential function?

What is the \(y\)-intercept of the graph of \(y=2x^{2}+6x+3\) in the \(xy\)-plane?

The product of a positive number \(x\) and the number that is 1 less than \(x\) is equal to 342. What is the value of \(x\)?

A cylinder has a diameter of 14 inches and a height of 8 inches. What is the volume, in cubic inches, of the cylinder?

\(y=2x^{2}-23x+64\) \(y=x+a\) In the given system of equations, \(a\) is a constant. The graphs of the equations in the given system inters…

In triangle PQR, \(\overline{QR}\) is extended to point S. The measure of \(\angle PQR\) is \(142^\circ\) and the measure of \(\angle PRS\)…

Eli used wax to make candles. The function \(f(x)=-15x+60\) approximates the weight, in ounces, of wax Eli had remaining after making \(x\)…

\(ak=\frac{b}{12}(7+m)\) The given equation relates the positive variables \(a, b, k\), and \(m\). Which equation correctly expresses \(m\)…

The function \(g\) is defined by \(g(x)=10^{3x-1}\). What is the value of \(x\) when \(g(x)\) is equal to 10,000?

If \(\frac{x}{y}=3\) and \(\frac{5x}{ty}=135\), what is the value of \(t\)?

A piece of string with a length of 35 inches is cut into two parts. One part has a length of \(x\) inches, and the other part has a length …

Which equation has no solution?

\(F(x)=\frac{9}{5}(x-273.15)+32\) The function \(F\) gives the temperature, in degrees Fahrenheit, that corresponds to a temperature of \(x…

An environmental scientist is investigating the volatility of 175 organic compounds by finding the boiling point of each compound. The mean…

Line \(k\) is defined by \(y=6x+5\). Line \(j\) is parallel to line \(k\) in the \(xy\)-plane and passes through the point \((0, 11)\). Whi…

\(f(x)=24(1.30)^{\frac{x}{3}}\) For the given function \(f\), the value of \(f(x)\) increases by \(p\%\) for every increase of \(x\) by 6. …

A carpenter charges a flat rate of \$234 for the first 3 hours of work and \$65 for each additional hour of work. Which equation gives the …

\(\sqrt[5]{119n}(\sqrt[6]{119n})^{2}\) For what value of \(x\) is the given expression equivalent to \((119n)^{x}\) where \(n>1\)?

The table summarizes the distribution of age and assigned group for 105 participants in a study. One of these participants will be selected…

The table shows three values of \(x\) and their corresponding values of \(g(x)\), where \(g(x)=\frac{f(x)}{x+5}\) and \(f\) is a linear fun…

The mass of object A is \(483\%\) of the mass of object B, and the mass of object A is \(0.069\%\) of the mass of object C. If the mass of …

\(\frac{1}{cx}=\frac{x}{152}+\frac{1}{c}\) In the given equation, \(c\) is a constant. If the equation has exactly one solution, what is th…

In the figure, line (n) intersects lines (r) and (s). Line (r) is parallel to line (s). What is the value of (x)?

During a portion of a flight, a small airplane's cruising speed varied between 125 miles per hour and 135 miles per hour. Which inequality …

If \(5x=4\), what is the value of \(40x\)?