SAT Practice Questions

What value of \(x\) is the solution to the equation \(8x + 56 = 36x\)?

If \(4(x + 3) = 3(x + 3) + 56\), what is the value of \(x + 3\)?

The function \(f\) is defined by \(f(x) = \frac{7}{10}x + 63\). What is the value of \(f(20)\)?

The function \(f\) is defined by \(f(x) = 2 + \sqrt{x}\). What is the value of \(f(100)\)?

Triangles \(ABC\) and \(DEF\) are congruent, where \(A\) corresponds to \(D\), and \(B\) and \(E\) are right angles. The measure of angle \…

How many visitors are located in room \(C\)?

According to the model, about how many gallons of gasoline are used to drive each mile?

What is the center of the circle in the \(xy\)-plane defined by the equation \((x - 4)^2 + (y + 3)^2 = 16\)?

Which of the following is the best interpretation of 3,000 in this context?

What is the slope of line \(s\)?

If the total cost to rent the bus from Company \(X\) for \(t\) hours, where \(t > 3\), is \$1,100, which equation represents this situation?

Which statement is the best interpretation of the \(y\)-intercept of the graph of this equation in the \(xy\)-plane?

How much more, in dollars, did a ton of river rock cost Odalys than a cubic yard of mulch?

A hemisphere is half of a sphere. If a hemisphere has a radius of 86 inches, which of the following is closest to the volume, in cubic inch…

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

In \(\triangle ABC\), \(\angle B\) is a right angle and the length of \(\overline{BC}\) is 260 millimeters. If \(\cos A = \frac{3}{5}\), wh…

Which of the following best approximates the number of pheasants per mile of road in 2015?

If this cube has a mass of 4.48 grams, what is the density of this cube, in grams per cubic centimeter?

What is the value of \(a\)?

Which system of linear equations has no solution?

Which expression is equivalent to \( (9x^2 + 9) - (2x^2) \)?

Which system of equations is represented by the graph?

In triangle \(ABC\), the measure of angle \(A\) is \(31^{\circ}\), the measure of angle \(B\) is \(90^{\circ}\) and the measure of angle \(…

Which equation represents the linear relationship between \(c\) and \(p\)?

What is the \(y\)-coordinate of the \(y\)-intercept of the graph of \(g(x) = 5(16x - 17)\) in the \(xy\)-plane?

Which equation represents this situation, where \(y\) is the pressure inside the container \(t\) minutes after the start?

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

What is the \(y\)-intercept of \(y = -(8)^x - 38\) in the \(xy\)-plane?

One solution to the given equation can be written as \(x = \frac{-9 + \sqrt{k}}{2}\) where \(k\) is a constant. What is the value of \(k\)?

Which statement best compares the mean and median of the new data set to the mean and median of the original data set?

The function \(g\) is defined by \(g(x) = 9x\). For what value of \(x\) is \(g(x) = 63^2\)?

Which inequality represents this situation?

If \(10 + \frac{6(7 - x)}{5} = \frac{4(7 - x)}{3}\), which equation must also be true?

What is the value of \(f(-2) - f(0)\)?

What is the value of \(p + w\)?

What is the area, in square inches, of triangle \(DEF\)?

How many objects were removed from the group?

What is the median of the data set shown?

Which of the following could be the value of \(c\)?

What is the length, in inches, of the hypotenuse of this triangle?

For what value of \(a\) is \(n^{4a-1}\) equal to \(k\)?

What is this rate, in miles per minute squared, rounded to the nearest tenth?

A veterinarian recommends that each day a certain cat should eat \(31\) calories per pound of the cat's weight, plus an additional \(14\) c…

Each side of square A has a length of \(13\) inches. Each side of square A is multiplied by a scale factor of \(3\) to create square B. Wha…

If \(x > 0\) and \(x\) is \(24\%\) of \(y\), which expression represents \(y\) in terms of \(x\)?

A remotely operated vehicle (ROV) is used for underwater ocean research. When the ROV is at a depth of \(31\) fathoms, what is the ROV's de…

The function \(g\) is defined by \(g(x)=\sqrt{8x+1}\). What is the value of \(g(10)\)?

The function \(f\) is defined by \(f(x)=\frac{1}{2}(x+10)\). What is the value of \(f(8)\)?

What is the value of \(\cos A\) in the triangle shown?

The function \(f(x)=240,000(1.22)^x\) gives a company's predicted annual revenue, in dollars, \(x\) years after the company started selling…

How many solutions does the equation \(7x+11=4x+3x+12\) have?

\(6x+9y=78\) \(6x+27y=186\) The solution to the given system of equations is \((x, y)\). What is the value of \(18y\)?

During hibernation, American black bears do not eat or replenish calories. A certain black bear weighed \(322\) pounds when entering hibern…

The graph models the population, in thousands, of a town \(x\) years since 2004, where \(0 < x < 15\). Which statement is the best interpre…

The area of triangle ABC is \(60\) square centimeters. What is the height \(h\), in centimeters, of this triangle?

A machine fills bags with approximately \(11\) ounces of walnuts. To test the accuracy of the filling process, \(330\) bags of walnuts were…

The graph of the linear equation \(6x+By=42\) is shown, where \(B\) is a constant. What is the value of \(B\)?

The scatterplot shows the relationship between two variables, \(x\) and \(y\). A line of best fit is also shown. Which of the following bes…

In the \(xy\)-plane, a line passes through the point \((0,0)\) and is parallel to the line represented by the equation \(y=6x\). If this li…

Circle A in the \(xy\)-plane has the equation \((x+9)^2+(y-9)^2=4\). Circle B has the same center as circle A. The radius of circle B is tw…

A triangular prism has a height of \(5\) centimeters (cm) and a volume of \(115 \text{ cm}^3\). What is the area, in \(\text{ cm}^2\), of t…

A family has money in an account for renting movies online. Each time the family rents a movie, the cost of the rental is withdrawn from th…

The function \(f\) is defined by \(f(x)=44(0.21)^x\). For any positive integer \(n\), the value of \(f(n)\) is \(p\%\) less than the value …

\[2x=16y-20\]One of the two equations in a system of linear equations is given. The system has no solution. Which equation could be the sec…

What is the maximum number of trees planted on one of these 4 plots of land?

At the time of posting a video, a social media channel had \(67\) subscribers. Each day for five days after the video was posted, the numbe…

A certain truck can tow a trailer if the combined weight of the trailer and the packages it contains is no more than \(5{,}600\) pounds. Wh…

Which table gives three values of \(x\) and their corresponding values of \(q(x)\) for function \(q(x)=21(3^x)\)?

For the linear function \(f\), the graph of \(y=f(x)\) in the \(xy\)-plane has a slope of \(\frac{2}{3}\) and passes through the point \((1…

\(f(x)=7x-5\) Function \(f\) is defined by the given equation. The function \(g\) is defined by \(g(x)=f(x)-(5x-2)\). What is the \(x\)-coo…

The given equation \(x=4a(b+3)\) relates the positive numbers \(a\), \(b\), and \(x\). Which equation correctly expresses \(a\) in terms of…

An object is kicked from a platform. The equation \(h=-4.9t^2+13t+15\) represents this situation, where \(h\) is the height of the object a…

\(x+6y=-14\) \(2x+12y=39\) \(5x+30y=0\) The given equations are graphed in the \(xy\)-plane. How many solutions \((x,y)\) does the system o…

\(y \le x+2\) \(y \ge -5x-3\) Which point \((x, y)\) is a solution to the given system of inequalities in the \(xy\)-plane?

The length of the diagonal of a square is \(\frac{124\sqrt{2}}{2}\) units. What is the area, in square units, of the square?

If \(4+\frac{3(7-x)}{2}=\frac{5(7-x)}{3}\), what is the value of \(7-x\)?

The floor of a business office has an area of \(1,575\) square meters. An architect creates a scale model of the floor, where the length of…

\(y=2x^2-16x+37\)\\ \(y+4=0\)\\How many solutions are there to the given system of equations?

Which expression is equivalent to \(\frac{y+13}{x-10}+\frac{y(x-10)}{x^2y-10xy}\)?

A polygon has exactly \(95\) sides. If the measure of each of the \(95\) interior angles of this polygon is \((180p)^{\circ}\), what is the…

The speed of particle A is \(6{,}600\%\) of the speed of particle C and the speed of particle C is \(0.004\%\) of the speed of particle B. …

The function \(g\) is defined by \(g(x)=8x\). For what value of \(x\) is \(g(x)=242\)?

\(-16(3x-4)^2+4(3x-2)^2\). The given expression can be rewritten as \(ax^2+bx+c\). What is the value of \(a+b+c\)?

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 …

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…

The function \(T\) estimates the temperature, in degrees Fahrenheit (\(^{\circ}F\)), in a certain city one day in January, where \(x\) is t…

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

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 \(600\)-foot-long row. Each of these oak trees requires \(40\) fee…

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 observat…

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 begi…

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\…

The functions \(f\) and \(g\) are given: \(f(x)=x+4\), \(g(x)=3x^{2}-rx+48\). In function \(g\), \(r\) is a constant. If \(f(x) \cdot g(x)=…

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 te…

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 \((…

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 \(16.5\) t…

What is the solution to the given equation \(k+21=63\)?

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 coordi…