SAT Practice Questions

Each of the following frequency tables represents a data set. Which data set has the greatest mean?

Jackson mows lawns in the summer. When Jackson mows a lawn with a fence he charges \$1.03 per minute. When Jackson mows a lawn without a fe…

For the linear function \(g\), the graph of \(y=g(x)\) in the xy-plane has a slope of 5 and passes through the point (2, 47). Which equatio…

The table gives the number of hours, \(h\), of labor and a plumber's total charge \(f(h)\) dollars, for two different jobs. There is a line…

What is the minimum value of the data set?

Exactly how many x-intercepts does the graph of \(f(x)=x(x-10)^{2}(x-11)^{3}\) have in the xy-plane, where \(y=f(x)\)?

The given equation, where \(t\) is a positive constant, defines a circle in the xy-plane. The radius of this circle is \(\sqrt{41}\). What …

In triangle RST, the measure of angle R is 29 degrees. Which statement provides sufficient information to prove that triangle RST is isosce…

If \(a=6k+5r\) and \(b=9k-12r+3\), which expression is equivalent to \(a-b\)?

How many distinct real solutions does the given equation have?

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

A polygonal chain is a connected series of line segments whose length is defined as the sum of the lengths of the line segments it is made …

If \(\frac{9}{6}(x-5)-36=\frac{7}{6}(x-5)+28\), what is the value of \(x-5\)?

A chemist combines 30 grams of compound A, 45 grams of compound B, and \(x\) grams of compound C. The resulting mixture has a mass of 135 g…

Line \(k\) is shown in the xy-plane. Line \(j\) (not shown) is perpendicular to line \(k\) and passes through the point (19, 23). What is t…

Which of the following is necessary for this study to attempt to establish a cause-and-effect relationship between two variables?

Which of the following equations could represent the account balance \(B(x)\), in dollars, \(x\) months after the account was opened, where…

As the size of a firework's shell increases... a firework's shell in the shape of a sphere with a volume of 542.68 cubic inches could be us…

What is the least value of \(x\) that is a solution to the given equation?

The function \(f\) is defined by \(f(x)=a^x-b\). The graph passes through \((c, 7)\) and \((2c, 117)\). Which of the following could be the…

In the given system of equations, \(g\), \(h\), and \(k\) are constants. The system has infinitely many solutions. What is the value of \(h…

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…

A right rectangular prism has a base area of \(16t\) square centimeters. The length of the base is \(\frac{8}{3}\) cm, and the height is 9 …

The mass of object A is 498% of the mass of object B, and the mass of object A is 0.830% of the mass of object C. If the mass of object C i…

The table summarizes members of a local organization by age and whether they live north or south of Center St. If a member of the organizat…

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

For the linear function \(f\), the graph of \(y=f(x)\) in the \(xy\)-plane has a slope of \(\frac{1}{3}\) and passes through the point \((0…

The function \(f\) is defined by \(f(x)=7+\sqrt{x}\). What is the value of \(f(36)\)?

\(5x-4y=-60\). For the given equation, which table gives three values of \(x\) and their corresponding values of \(y\)?

A geologist estimates that the volume of a boulder is greater than \(14.6\) cubic feet but less than \(18.6\) cubic feet. The geologist als…

A rectangular region of land is divided into \(88\) square lots of equal area \(R\), in square units. The length of the region is \(5.5\) t…

If \(48=18+2(x-9)\), what is the value of \(2(x-9)\)?

\(y=x^{2}+1.3, y=1.3-x\). Which graph represents the given system of equations?

In triangle \(ABC\), the measure of angle \(A\) is \(53^{\circ}\), the measure of angle \(B\) is \(90^{\circ}\), and the measure of angle \…

Which of the following is closest to the slope of this line of best fit?

The expression \(54y^{5}-36y^{4}\) is equivalent to \(ry^{4}(9y-6)\), where \(r\) is a constant. What is the value of \(r\)?

What is the best interpretation of \((x,y)=(1,70)\) in this context? \(y=0.25x^{2}-7.5x+77.25\)

The total mass, in kilograms, of \(r\) identical objects is \(t\). Which expression represents the total mass, in kilograms, of \(112r\) of…

If \(\frac{48}{x}=6x\), what is the value of \(6x^{2}\)?

\(w(t)=600-3t\). According to the model, what is the predicted volume, in milliliters, draining from the container each second?

Line \(k\) is shown in the \(xy\)-plane. Line \(j\) (not shown) is perpendicular to line \(k\). What is the slope of line \(j\)?

In the equation \(h=\frac{9(v-273.15)}{5}+32\), \(h\) is the temperature, in degrees Fahrenheit, of a substance that has a temperature of \…

A circle in the \(xy\)-plane has its center at \((19, 16)\) and has a radius of \(8k\). Which equation represents this circle?

In the triangle shown, \(RS=\sqrt{167}\). What is the value of \(\sin R\)?

Parallelogram \(ABCD\) is similar to parallelogram \(PQRS\). The length of each side of \(PQRS\) is \(2\) times the length of its correspon…

\(r(t)=53t-2t^{2}\). The function \(s\) is defined by \(s(t)=r(t)+1\). Which expression represents the maximum value of \(s(t)\)?

The value of \(y\) is \(49\) more than twice the value of \(x\). Which equation represents \(y\) in terms of \(x\)?

\(14,000=2,800+200t\). Which of the following is the best interpretation of \(200\) in this context?

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

A model predicts that the population of a certain town was \(3{,}000\) in \(2007\). The model also predicts that each year for the next \(5…

A park earns revenue of \$16 for each beach umbrella they rent for the day. On Wednesday, the park earned \$400 in profit after paying dail…

\(x^{2}-2x-18=0\). One solution to the given equation can be written as \(1 + \sqrt{k}\), where \(k\) is a constant. What is the value of \…

\(r=\sqrt{5w-3}\). Which equation correctly expresses \(w\) in terms of \(r\)?

A hemisphere is half of a sphere. If a hemisphere has a radius of \(70\) inches, which of the following is closest to the volume, in cubic …

For a certain type of rope, the equation \(y=900ax^{2}\) gives the estimated breaking strength \(y\), in pounds, of a rope with a circumfer…

\(h(x)=(x+p)(x-2)(2x-12)\). In the \(xy\)-plane, the graph passes through \((-3, 0)\). What is the value of \(h(0)\)?

If \(x\ge-6\) represents all solutions to the inequality \(ax-27\le15\), where \(a\) is a constant, what is the greatest possible value of …

The solution to the given system of equations is \((x,y)\). What is the value of \(8x+6y\)? \(5(8x)+4(6y)=12\) \(-5(8x)+4(6y)=12\)

For the positive quantities \(h, j, k\), \(27\%\) of \(h\) is equivalent to \(24\%\) of \(j\), and \(j\) is equivalent to \(45\%\) of \(k\)…

The function \(f\) is defined by \(f(x)=30x\). For what value of \(x\) is \(f(x)=180\)?

\(4x^{2}+21=48x+r\). What value of \(r\) makes this equation have exactly one solution?

For the function \(f\), for every increase of \(2\) in \(x\), \(f(x)\) increases by a factor of \(c\). Which equivalent form displays \(c\)…

In the figure shown, \(AB=\sqrt{89}\), \(AC=8\), and \(CE=24\). What is the area, in square units, of triangle \(ADE\)?

Line \(g\) is shown in the \(xy\)-plane. Line \(k\) is defined by \(165x+py=w\), where \(p\) and \(w\) are constants. If the system of two …

Which of these frequency tables represents the data set with the smallest standard deviation?

\(6x+3y=5\) A system of two linear equations consists of the equation above and one of the equations listed below. If the system has at lea…

\(f(x)=ax^{2}+bx+c\). Passes through \((10,0)\) and \((-5, 0)\). If \(a\) is an integer \(> 1\), which of the following could be \(a+b\)?

An object's speed is increasing at a rate of \(1.1\) meters per second squared. What is this rate, in miles per minute squared, rounded to …

Line \(r\) in the \(xy\)-plane has a slope of \(-8\) and passes through the point \((0, 60)\). Which equation defines line \(r\)?

Which expression is equivalent to \(19(x^{2} - 8)\)?

The function \(f\) is defined by \(f(x) = 5x^{3} + 3\). What is the value of \(f(2)\)?

A car travels at a speed of at least \(40\) miles per hour but no more than \(65\) miles per hour for a certain part of a trip. Which inequ…

The ratio of \(k\) to \(p\) is constant. When \(k = 4\), then \(p = 3\). What is the value of \(k\) when \(p = 24\)?

\(h(x) = x + b\) For the linear function \(h\), \(b\) is a constant and \(h(0) = 26\). What is the value of \(b\)?

Which expression is equivalent to \((x)^{\frac{1}{17}}\), where \(x > 0\)?

Which of the following is closest to the slope of this line of best fit?

The \(y\)-intercept of the graph of \(y = x^{2} + 15\) in the \(xy\)-plane is \((0, y)\). What is the value of \(y\)?

What is the slope of the graph of \(48x - 6y = -32\) in the \(xy\)-plane?

\(-5(v - 8)(v - 2)(v + 9) = 0\) What value of \(v\) is a solution to the given equation?

Scientists collected fallen acorns that each housed a colony of the ant species \(P. ohioensis\) and analyzed each colony's structure. For …

In triangle \(DEF\), the measure of angle \(D\) is \(40^{\circ}\) and the measure of angle \(E\) is \(95^{\circ}\). In triangle \(RST\), th…

If \(7(13 - 5x) + 38 = 8(13 - 5x) + 21\), what is the value of \(13 - 5x\)?

The function \(f(x) = \frac{1}{9}(x - 4)^{2} + 5\) gives a toy car's height above the ground \(f(x)\), in inches, \(x\) seconds after it st…

The function \(f(t) = 30,000(2)^{\frac{t}{370}}\) gives the number of bacteria in a population \(t\) minutes after an initial observation. …

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 …

The measure of angle \(R\) is \(\frac{5\pi}{6}\) radians. The measure of angle \(T\) is \(\frac{7\pi}{12}\) radians greater than the measur…

\(g(x) = x^{2} + \frac{27}{2}x\) Which expression represents the minimum value of the given function?

The expression \(0.33x\) represents the result of decreasing a positive quantity \(x\) by what percent?

According to a US law, ramps for use by the general public must form an angle \(\theta\) with level ground such that \(\tan\theta \le \frac…

The edge length, in inches, of cube \(Y\) is \(\frac{3}{64}\) the edge length, in inches, of cube \(X\). The surface area, in square inches…

The value of \(y\) is \(8\) more than twice the value of \(x\). Which equation represents \(y\) in terms of \(x\)?

To purchase a used car at a total price of \(11,000\) dollars, a onetime down payment is required, and then fixed monthly payments are made…

Line \(k\) is defined by \(y = 3x - 2\). Line \(j\) is parallel to line \(k\) in the \(xy\)-plane and passes through the point \((0, 1)\). …

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

A model predicts that the population of a certain town was \(5,000\) in 2008. The model also predicts that each year for the next \(5\) yea…

A park rents beach umbrellas to visitors. The park earns revenue of \$15 for each beach umbrella they rent for the day. On Wednesday, the p…

\(r = \sqrt{9w - 5}\) The given equation relates the real numbers \(r\) and \(w\), where \(w > 5/9\). Which equation correctly expresses \(…

A hemisphere is half of a sphere. If a hemisphere has a radius of \(83\) inches, which of the following is closest to the volume, in cubic …

For a certain type of rope, the equation \(y = 900ax^{2}\), where \(a\) is a constant, gives the estimated breaking strength \(y\), in poun…

The function \(h\) is defined by \(h(x) = (x + p)(x - 4)(2x - 6)\), where \(p\) is a constant. In the \(xy\)-plane, the graph of \(y = h(x)…