SAT Practice Questions

The list gives the number of individuals in each of \(6\) groups of ring-tailed lemurs. \(19, 7, 22, 19, 20, 9\). What is the range of the …

The given equation relates the distance \(d\), in inches, of an object from its starting position to the time \(t\), in seconds, since the …

What is the slope of the graph of \(y = \frac{1}{2}(17x + 19) + 5x\) in the \(xy\)-plane?

The table shows three values of \(x\) and their corresponding values of \(f(x)\) where \(f(x) = \frac{kx + 45}{x + 2}\) and \(k\) is a cons…

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 \(f(x) = \frac{x + 16}{5}\), and \(f(a) = 14\), where \(a\) is a constant. What is the value of \(a\)?

A sphere has a radius of \(\frac{26}{5}\) feet. What is the volume, in cubic feet, of the sphere?

A company that manufactures staplers calculates its monthly profit, in dollars, by subtracting its fixed monthly costs, in dollars, from it…

If \(\frac{x - 16}{18} = \frac{x - 16}{9}\), what is the value of \(x + 16\)?

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

The graph of line \(h\) is shown in the \(xy\)-plane. Line \(k\) (not shown) is defined by \(sx + 40y = t\), where \(s\) and \(t\) are cons…

Levi and Marissa each have stamp collections. The number of stamps in Levi's collection is \(250\%\) of the number of stamps in Marissa's c…

The graph of a system of a linear equation and a quadratic equation is shown. Which of the following is a solution \((x,y)\) to the system?

An object moves at a speed of \(\frac{3}{16}\) feet per second. What is this speed, in yards per second? (\(3\) feet = \(1\) yard)

Which expression is equivalent to \(106t^3 - 26t^2u\)?

Circle \(K\) has a radius of \(11\) millimeters (mm). Circle \(L\) has an area of \(144\pi \text{ mm}^2\). What is the total area, in \(\te…

Which expression is equivalent to \(2(x - \frac{7}{2})(x + 8)\)?

The function \(f\) is defined by \(f(x) = (-2)(5)^x + 31\). What is the \(y\)-intercept of the graph of \(y = f(x)\) in the \(xy\)-plane?

Which inequality represents the \(x\) values for all solutions \((x,y)\) that satisfy the given system of inequalities in the \(xy\)-plane?

In the \(xy\)-plane, an equation of circle \(A\) is \((x - 4)^2 + (y - 8)^2 = 16\). Circle \(B\) has the same center as circle \(A\) but ha…

A property owner wants to find the length \(x\), in feet, across a pond as represented in the figure. \(\overline{PR}\) intersects \(\overl…

In right triangle \(RST\), the sum of the measures of angle \(R\) and angle \(S\) is \(90\) degrees. The value of \(\sin(R)\) is \(\frac{\s…

In the figure shown, the measure of angle \(X\) is \(54^\circ\). The length of \(\overline{XY}\) is \(26\) units and the length of \(\overl…

A partially filled container containing \(24\) milliliters of water is placed under a leaky faucet that produces one \(0.06\)-milliliter dr…

A research manager selected 2 random samples of ovens of a certain type to estimate the average amount of time this type of oven takes to p…

In the given equation, \(r\) and \(s\) are constants. The equation has no solution. What is the value of \(r\)?

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

The equation \(N(m) = 63(Q)^{\frac{m}{6}}\) gives the predicted population \(N(m)\), in thousands, of a certain bacteria colony \(m\) minut…

A quadratic function models the height, in feet, of an object above the ground in terms of the time, in seconds, after the object was launc…

Raheem bought 9 shirts that were each the same price. He used a coupon for \$54 off the entire purchase. The cost for the entire purchase a…

The function \(p\) is defined by \(p(x) = a((x+4)^2 - b)((x+4)^2 - c)\), where \(a, b,\) and \(c\) are constants. In the \(xy\)-plane, the …

One of the equations in a system of two linear equations is given, where \(n\) is a positive constant. The system has no solution. Which eq…

Which expression is equivalent to \(13(x^{2}-7)\)?

A sleep study consisted of 59 participants, of which 53 participants each had an average of more than 120 minutes of rapid eye movement (RE…

According to the table, what is the wind chill temperature, in degrees Fahrenheit (°F), when the air temperature is \(26^{\circ}F\) and the…

A soccer team's goal is to earn at least \$1,320 by selling coupon books. The team earns \$12 from selling each coupon book. Which of the f…

If the business cares for 12 dogs during a week, how many cats can it care for during this week?

In the given equation, p is an integer constant. The equation has no real solution. What is the least possible value of p?

For the triangles shown, triangle ABC is dilated by a scale factor of 5 to obtain triangle XYZ, where \(d=19\). What is the measure, in deg…

The area of triangle ABC is 220 square centimeters. What is the height h, in centimeters, of this triangle?

In the right triangle shown, the value of \(\tan x\) is \(\frac{c}{39}\). What is the value of \(c\)?

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

What is a positive solution to the given equation?

In the xy-plane, the graph of the equation \((x-6)^{2}+(y-2)^{2}=36\) is a circle. The point (12, c), where c is a constant, lies on this c…

If x is the solution to the given equation, what is the value of \(x-4\)?

The solution to the given system of equations is \((x,y)\). What is the value of \(\frac{11}{4}x+6y\)?

The function h is defined by \(h(x)=14(2)^{-x}+7\). What is the value of \(h(3)\)?

The graph of a line in the xy-plane passes through the point (1,8) and crosses the x-axis at the point (7, 0). The line crosses the y-axis …

The table shows three values of x and their corresponding values of y. The linear relationship between x and y can be represented by an equ…

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?

Julia purchased 800 feet of fencing. She used 60% of this fencing to surround a vegetable garden. How many feet of fencing did Julia use to…

What is the mean of the data shown?

In the given equation, p is an integer constant. The equation has no real solution. What is the least possible value of p?

What is the y-intercept of the graph of \(y=16^{x+3}\) in the xy-plane?

The function g is defined by \(g(x)=-18-9x\). For what value of x does \(g(x)=-216\)?

The population of a certain city doubled every 25 years from 1660 to 1760. The population of this city was 208,000 in 1760. What was the po…

How many solutions does the equation \(7x-19=19-7x\) have?

The point \((x, 54)\) is a solution to the given system of inequalities in the xy-plane. Which of the following could be the value of x?

A linear function f gives a company's profit, in dollars, for selling x items. The company's profit is \$190 when it sells 4 items, and its…

Which quadratic equation has no real solutions?

The circumference of the base of a right circular cylinder is \(6\pi\) meters, and the height of the cylinder is 19 meters. What is the vol…

A carnival receives \$10 for each adult admission ticket sold and \$5 for each child admission ticket sold. On a particular day, the carniv…

The graphs of the equations in the given system intersect at the point \((x,y)\) in the xy-plane. What is a possible value of \(y\)?

According to the function, for each increase of 18 cm in the length of the radius, this partial length of the circumference increases by \(…

For the given function f, the value of \(f(x)\) increases by \(p\%\) for every increase of x by 6. What is the value of p?

If \(k(53p)=p\), where p is a constant, what is the value of p?

Which equation best represents this model, where M is the estimated total mass, in grams, of the population of insects at the end of t week…

What was the net percentage increase in the value of the autographed baseball from the end of 2012 to the end of 2014?

The expression \(\sqrt[4]{n^{5}}\cdot\sqrt[8]{n^{5}}\), where \(n>1\), is equivalent to \(n^{2a+1}\). What is the value of \(a\)?

What is the value of \(\frac{BC}{BD}\)?

Which of the following is closest to this rate in square meters per minute? (Use 1 meter = 3.28 feet.)

What is the best interpretation of \(f(11)=300\)?

Which equation defines h?

Which equation represents this situation?

If \(121x^{2}=-110x+56\), what is the value of \(11x+5\), where \(11x+5>0\)?

The graph shows the linear relationship between \(x\) and \(y\). Which table gives three values of \(x\) and their corresponding values of …

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…

If \(6x + 36 = 54\), what is the value of \(x + 6\)?

For a certain classification, the positive mass \(m\), in grams, of an object must be less than 510 grams. Which inequality represents this…

The perimeter of an obtuse triangle is 27 meters. The lengths of two sides of this triangle are 5 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 40 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 \((5x^3 - 3x + 8) - (9x^6 + 5x - 3)\)?

The scatterplot shows the relationship between the time spent studying, in hours, and the test score for \(7\) students. A line of best fit…

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…

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 the \(x\)-coordinate of an \(x\)-intercept of the g…

The solution to the given system of equations is \((x, y)\). What is the value of \(3x + 5y\)?

In triangle \(DEF\), the measure of angle \(D\) is \(47^{\circ}\) and the measure of angle \(E\) is \(97^{\circ}\). In triangle \(RST\), th…

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

In the \(xy\)-plane, the graph of function \(f\), where \(y = f(x)\), has exactly 8 \(x\)-intercepts. One of these \(x\)-intercepts is \((1…

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

In the \(xy\)-plane, line \(s\) passes through the point \((0, 0)\) and is parallel to the line represented by the equation \(y = 42x + 6\)…

A circle has center \(Q\), and points \(A\) and \(B\) lie on the circle. The measure of arc \(AB\) is \(60^{\circ}\), and the length of thi…

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, 17)\…

In the triangle shown, what is the value of \(\sin x^\circ\)?

The function \(g\) is defined by \(g(x) = 18 - x\). What is the value of \(g(3)\)?

The graph gives the estimated revenue, in dollars, for a company when the price of the company's product is \(x\) dollars. What does the \(…

For a linear relationship between \(x\) and \(y\), the table gives three values of \(x\) and their corresponding values of \(y\). Which equ…