SAT Practice Questions

The function \(f\) is defined by the given equation. Which of the following statements is true?

A solid square pyramid has a base area of 302,500 square meters, and the combined surface area of its four lateral faces is 341,000 square …

What is the solution to the equation shown?

The function \(f\) is defined by \(f(x)=5x^{2}.\) What is the value of \(f(6)?\)

During which of the following time periods did the greatest increase in recorded temperature take place?

A right rectangular prism has a length of 26 centimeters (cm), a width of 16 cm, and a height of 14 cm. What is the surface area, in \(\tex…

How many solutions does the equation \(6x+4=6x+8\) have?

A newspaper stand sells magazines for \$5 each and newspapers for \$2 each. The stand needs to sell \(m\) magazines and \(n\) newspapers fo…

Which number represents the height, in meters, from which the object was kicked?

The y-intercept of the graph of \(y=1.65^{x}\) in the xy-plane is \((0, y)\). What is the value of \(y\)?

If 380% of \(n\) is 38, what is the value of \(n\)?

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 int…

How much calcium, in mg, is in 1 banana?

Which of the following represents the number of bacteria, \(y\), in the liquid medium \(t\) days after the start of the observation?

The table shows the frequencies of the data values for four data sets. Which data set has the greatest mean?

Which statement is the best interpretation of \(p(8)=106\)?

One T-shirt from the bin will be selected at random. What is the probability of selecting a T-shirt that is medium, given that the T-shirt …

For what value of \(x\) does the value of \(y\) reach its minimum?

Which expression shows the difference between the measure of angle A and the measure of angle B, in degrees?

How many sales did the account manager complete in April?

What is the value of \(b\)?

What is the area, in square units, of EFGH?

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

What is the value of \(x\)?

Which expression is a factor of \(2x^{2}+30x+88\)?

What is the y-intercept of line \(l\)?

Which equation defines line \(j\)?

Which of the following could describe this function?

Which statement is the best interpretation of the point \((1, 4.24)\)?

What is the height, in centimeters, of the cylinder?

If \(a=3k+4r\) and \(b=9k-12r+6\), which expression is equivalent to \(a-b\)?

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

What is the greatest solution to the given equation?

What is the value of \(a\)?

In this equation, what is the value of \(b\)?

If the second equation in the system is \(y=mx+b,\) where \(m\) and \(b\) are constants, what is the value of \(b\)?

If \(d=42\), and \(h \gt d\), which statement about \(j\) and \(p\) must be true?

For which of the following tables are all the values of \(x\) and their corresponding values of \(y\) solutions to the given system of ineq…

If the perimeter of an equilateral triangle with a height of 46 units is \(a\sqrt{3}\) units, what is the value of \(a\)?

If \(\frac{x-5}{4}=\frac{x-5}{11}\), the value of \(x-5\) is between which of the following pairs of values?

What is the value of \(k\)?

On the smaller map, which of the following is closest to the actual distance, in miles, represented by 1 inch?

What is the value of \(p(-12)+p(-5)\)?

If \(s\) represents the volume, in \(\text{cm}^{3}\), of sand and \(c\) represents the volume, in \(\text{cm}^{3}\), of cement that the sci…

Which of the following equations displays, as a constant or coefficient, the maximum value of the function it defines, where \(x \ge 0\)? I…

Line r in the xy-plane has a slope of 2 and passes through the point (0, 12). Which equation defines line r?

In the figure, line p is parallel to line r and line t intersects both lines. What is the value of \(x+142\)?

The y-intercept of the graph of \(y=x^2+38\) in the xy-plane is (0, y). What is the value of y?

A large square has an area of 36 square centimeters (\(\text{cm}^2\)). Small squares of area 4 \(\text{cm}^2\) are cut out of the large squ…

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

How many solutions does the equation \(5x+3=5x+7\) have?

For the linear function h, b is a constant and \(h(x)=x+b\). If \(h(0)=21\), what is the value of b?

The function g is defined by \(g(x)=2x-148\). For what value of x does \(g(x)=76\)?

A district school board in a certain state is proposing a change to the time school starts for all high schools in the district. A sample o…

The Mars Perseverance rover is a robot designed to collect samples of rock and soil. During an experiment, the rover moves at a constant sp…

The graph of a polynomial function \(y=f(x)\) in the xy-plane passes through the point (8, 9). What is the value of \(f(8)\)?

A company that produces only one type of item wants to estimate the percent of the items produced in a typical week that are defective. A r…

The graph of the linear equation \(4x-By=12\) is shown, where B is a constant. What is the value of B?

Which system of linear equations has infinitely many solutions?

The solution to the given system of equations is (x,y). What is the value of x? \(x^2+y+3=3\) \(8x+16-y=0\)

Which expression is equivalent to \(\frac{20\pi^2}{\pi^2-x^2}-\frac{20\pi}{x+\pi}\), where \(x>\pi\)?

The equation \(y = -4.9(x - 9.1)^2 + 10,700\) gives the estimated height above ground, y, in meters, of a plane, where x is the number of s…

In the triangle shown, \(RS=\sqrt{157}\). What is the value of \(\sin R\)?

The figure shown is a right circular cylinder with a radius of r and height of h. A second right circular cylinder (not shown) has a volume…

The given equation represents circle P in the xy-plane: \((x-3)^2+(y+7)^2=25\). Circle Q has a center that is 1 unit to the right of and 2 …

The solution to the given system of equations is (x,y). What is the value of \(10(x-2)\)? \((x-2)-8(y+3)=123\) \((x-2)+8(y+3)=432\)

On average, a certain tree grows 51 centimeters every m months. At this rate, which expression represents the number of centimeters, on ave…

The graph of the linear function f is shown, where \(y=f(x)\). Which equation defines f?

If \(8(x+3)=64\), what is the value of \(x+3\)?

Which expression is equivalent to \(\sqrt{x^{153}}\), where \(x>0\)?

The complete graph of \(y=f(x)\) is shown. For how many values of x does \(f(x)=0\)?

The number of bacteria in a liquid medium doubles every hour. There are 44,000 bacteria in the liquid medium at the start of an observation…

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

The given equation relates the positive numbers b, x, and y: \(b-22=\frac{x}{y}\). Which equation correctly expresses x in terms of b and y?

Ari examined a set of 86 plants. The lightest plant had a mass of 2.8 kilograms (kg) and the heaviest plant had a mass of 6.2 kg. Chihiro e…

A linear model estimates the population of a city from 1995 to 2019. The model estimates the population was 59 thousand in 1995, 217 thousa…

Triangles ABC and DEF are similar, where A corresponds to D, and B corresponds to E. The measure of angle A is \(26^{\circ}\) and \(AB=4\).…

A clothing store buys shirts at a wholesale price of 7.00 dollars each and resells them each at a retail price that is 260% of the wholesal…

The function f gives the value, in dollars, of a certain piece of equipment after x months of use: \(f(x)=7,020(0.28)^{\frac{x}{12}}\). If …

The solutions to the given equation \(x^2+5x=47\) are \(\frac{m+\sqrt{q}}{2}\) and \(\frac{m-\sqrt{q}}{2}\), where m and q are integers. Wh…

In the equation \(7x^2+49x+c=0\), c is a constant. If the equation has exactly one real solution, what is the value of c?

What is the minimum value of the given function \(p(x)=2x^2+20x+15\)?

For each real number \(r\), which of the following points is a solution to the given system? \(5x+7y=8\) \(30x+42y=48\)

The length of each edge of a box is 94 centimeters. Each side of the box is in the shape of a square. The box does not have a lid. What is …

In the given expression, a and b are constants such that \(\sin a^{\circ}=0.50\) and \(\cos b^{\circ}=0.99\), and \(0<b<90\). What is the v…

The scatterplot shows the relationship between two variables, x and y, for data set P. A line of best fit for the data is also shown. Data …

In the given equation \(\sqrt{k-x}=57-x\), k is a constant. The equation has exactly one real solution. What is the minimum possible value …

The functions f and g are defined by the given equations, where \(x \ge 0\). Which of the following equations displays, as a constant or co…

An object's speed is increasing at a rate of 12.1 meters per second squared. What is this rate, in miles per minute squared, rounded to the…

In the figure, two lines intersect at a point. If \(w = 142\), what is the value of \(z\)?

Sabrina has a goal to save at least \$240. Sabrina has already saved \$120. If \(x\) represents the additional amount of money, in dollars,…

A certain duck species can fly at an average speed of \(16\) meters per second when in continuous flight. At this rate, how many meters wou…

In the given scatterplot, a line of best fit for the data is shown. Which of the following equations best represents this line of best fit?

The function \(d\) is defined by \(d(x) = 400 - 6^x\). What is the value of \(d(0)\)?

A square tile has a side length of \(53x\) centimeters (cm). Which equation gives the area \(A\), in \(\text{cm}^2\), for \(7\) of these sq…

A rectangular region of land is divided into \(40\) square lots of equal area \(R\), in square units. The length of the region is \(1.6\) t…

Line \(k\) is defined by \(y = 4x + 7\). Line \(j\) is parallel to line \(k\) in the \(xy\)-plane and passes through the point \((0,8)\). W…

If \(x + 4y = 29\) and \(9x - 20y = -75\), what is the value of \(y\)?

The graph models the number of active projects a company was working on \(x\) months after the end of November 2013, where \(0 \le x \le 6\…

For the linear function \(f\), the graph of \(y = f(x)\) in the \(xy\)-plane has a slope of \(35\) and passes through the point \((0,0)\). …