SAT Practice Questions

Line \(q\) in the \(xy\)-plane has a slope of \(\frac{1}{7}\) and passes through the point \((0, 60)\). Which equation defines line \(q\)?

The function \(g\) is defined by \(g(x)=-7x+80\). What is the value of \(g(x)\) when \(x=-2\)?

Each face of a fair 12-sided die is labeled with a number from 1 through 12, with a different number appearing on each face. If the die is …

In the given equation, \(k\) is a constant. The equation has infinitely many solutions. What is the value of \(k\)?

Jasmin grows bean pods in her garden. This year, she harvested 490 bean pods and saved 10% of them to plant next year. How many of the harv…

A triathlon is a multisport race consisting of three different consecutive events. A triathlon participant plans to complete the cycling ev…

Dan bought some apples and oranges. The apples cost \$0.79 per pound, and the oranges cost \$0.99 per pound. If Dan spent \$24.93 in total …

Triangle \(R\) has an area of 80 square centimeters (\(cm^{2}\)). Square \(S\) has side lengths of 4 cm. What is the total area of triangle…

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

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

A rectangle has a length that is 24 times its width. The function \(y=(24w)(w)\) represents this situation, where \(y\) is the area, in squ…

The function \(f\) models the intensity of a beam, \(f(x)\), in number of photons, \(x\) millimeters below the surface of a certain materia…

The gas mileage of a certain car is 22 miles per gallon when driven on the highway. If the car begins with 8 gallons of gas in the tank, wh…

In triangle \(DEF\), the measure of angle \(D\) is \(46^{\circ}\) and the measure of angle \(E\) is \(104^{\circ}\). In triangle \(RST\), t…

What is the slope of the graph of \(y=\frac{1}{5}(19x+19)+7x\) in the \(xy\)-plane?

One of the two equations in a system of linear equations is given. The system has no solution. Which of the following could be the second e…

A linear model estimates the population of a city from 1992 to 2016. The model estimates the population was 61 thousand in 1992, 217 thousa…

In the given system of equations, \(a\) is a positive integer constant. The system has no real solutions. What is the least possible value …

In the triangle shown, \(RS=\sqrt{133}\). What is the value of \(\sin R\)?

How many distinct real solutions does the given equation have?

The graph of the given equation is a circle in the \(xy\)-plane. The point \((a, b)\) lies on the circle. Which of the following is a possi…

The function \(f\) is defined by the given equation. If \(g(x)=f(x+2)\), which of the following equations defines the function \(g\)?

The graph of \(y=f(x)\) is shown in the \(xy\)-plane. What is the value of \(f(0)\)?

Which expression is equivalent to \((7nr^{2}+2nr)+(5n^{2}r+4nr)\)?

The given equation relates the distinct positive numbers \(v\), \(w\), and \(x\). Which equation correctly expresses \(w\) in terms of \(v\…

In the given equation, \(r\) is a constant. The equation has no solution. What is the value of \(r\)?

A real estate company offers a series of three webinars. 3,750 people attended the first webinar. 54% of the people who attended the first …

The graph of \(y=f(x)\) is shown. What is the \(y\)-intercept of the graph of \(y=f(x)+11\)?

The function \(f\) is defined by \(f(x)=|x-6x|\). What value of \(a\) satisfies \(f(2)-f(a)=-30\)?

If \(-7(13-5x)+3=-8(13-5x)+25\), what is the value of \(13-5x\)?

The minimum value of \(x\) is 4 less than 8 times another number \(n\). Which inequality shows the possible values of \(x\)?

The shaded region shown represents the solutions to the inequality \(-19y \lt c\), where \(c\) is a constant. What is the value of \(c\)?

At a constant temperature, a scuba diver combines two different concentrations of nitrox mix (oxygen-nitrogen gas mixture) to fill a tank t…

The graph of the equation \(y=2^{x}+k\) is shown, where \(k\) is a constant. What is the value of \(k\)?

A certain town has an area of 3.51 square miles. What is the area, in square yards, of this town? \(\left(1\text{ mile} = 1{,}760\text{ yar…

The function \(f\) gives the product of a number, \(x\), and a number that is 7 more than \(x\). Which equation defines \(f\)?

The function \(f(x)=\frac{1}{8}(x-6)^{2}+4\) gives a toy car's height above the ground \(f(x)\), in inches, \(x\) seconds after it started …

One of the factors of \(5x^{3}+105x^{2}+540x\) is \(x+b\), where \(b\) is a positive constant. What is the smallest possible value of \(b\)?

Kenny engages in up to 3 types of exercise each week for a total of 6 hours while training for a triathlon. Kenny swims for the same number…

Two lines intersect at exactly one point, forming two acute angles and two obtuse angles. The measure of one of these angles is \((9x-110)^…

In the given equation, \(k\) is a positive constant. The product of the solutions to the equation is 64. What is the value of \(k\)?

Each of the following frequency tables represents a data set. Which of these frequency tables represents the data set with the smallest sta…

The table shows the volume of two similar solids, right circular cylinder A and right circular cylinder B. The radius of right circular cyl…

Function \(f\) is a quadratic function. The graph of \(y=f(x)\) in the \(xy\)-plane has a vertex at \((-5,-8)\), contains the point \((-6,-…

An object's average acceleration, in meters per second squared, is the change in the object's speed, in meters per second, divided by the t…

A solution to the given system of equations is \((x, y)\). What is a possible value of \(x\)?

The given function \(f(x) = 50x + 8\) estimates the distance a train has traveled, in kilometers, from a station in a certain city \(x\) ho…

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

The function \(g\) is defined by \(g(x) = \frac{3}{4}x - 18\). What is the \(x\)-coordinate of the \(x\)-intercept of the graph of \(y = g(…

Two students are playing a game. In the first round, Player 1 answers \(33\) questions. If an answer is correct, Player 1 earns \(1\) point…

Which expression is a factor of \(7x^2 + 5x - 18\)?

The graph shows the momentum \(y\), in newton-seconds, of an object \(x\) seconds after the object started moving for \(0 \le x \le 8\). Wh…

How many distinct real solutions does the given equation have?

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

The manager of a gym selected a sample of \(130\) members at random to estimate the percentage of the gym's members that would continue to …

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 maximum temperature on April 1, in degrees Fahrenheit (\(^\circ\)F), was recorded each year at a certain weather station for \(11\) yea…

For the positive quantities \(h\), \(j\), and \(k\), \(94\%\) of \(h\) is equivalent to \(47\%\) of \(j\), and \(j\) is equivalent to \(30\…

For the exponential function \(f\), the value of \(f(1)\) is \(k\), where \(k\) is a constant. Which of the following equivalent forms of t…

In triangle \(PQR\), the measure of angle \(P\) is \((3x + 5)^\circ\), the measure of angle \(Q\) is \((2x + 9)^\circ\), and the measure of…

The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the th…

A right circular cone has a volume of \(2,700\pi\) cubic centimeters and a base area of \(225\pi\) square centimeters. What is the slant he…

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…

The cost of renting a power washer is \$92 for the first day and \$46 for each additional day. Which of the following functions gives the c…

The function \(f\) is defined by \(f(x) = ax^b + c\), where \(a\), \(b\), and \(c\) are constants. If the graph of \(y = f(x)\) in the \(xy…

In the figure, two lines intersect at a point. If \(w=128\), what is the value of \(z\)?

If \(x\) represents the additional amount of money, in dollars, Sabrina needs to save to meet her goal, which inequality represents this si…

The function \(f\) is defined by \(f(x)=12x+18\). What is the \(y\)-coordinate of the \(y\)-intercept of the graph of \(y=f(x)\) in the \(x…

At this rate, how many meters would this pigeon species fly in \(4\) seconds?

Which of the following equations best represents this line of best fit?

The function \(d\) is defined by \(d(x)=200-6^{x}\). What is the value of \(d(1)\)?

Which equation defines line \(j\)?

If \(x+4y=41\) and \(7x-20y=-97\), what is the value of \(y\)?

For the linear function \(f\), the graph of \(y=f(x)\) in the \(xy\)-plane has a slope of \(28\) and passes through the point \((0, 0)\). T…

According to the model, what is the predicted number of active projects the company was working on at the end of November 2011?

What is the range of the numbers of individuals for the \(6\) groups of ring-tailed lemurs?

What is the rate of change of the object's distance from its starting position over time?

What is the slope of the graph of \(y=\frac{1}{2}(15x+12)+3x\) in the \(xy\)-plane?

What is the value of \(k\)?

The function \(f\) is defined by \(f(x)=\frac{x+11}{3}\) and \(f(a)=16\), where \(a\) is a constant. What is the value of \(a\)?

How many of the harvested bean pods did Jasmin save to plant next year?

A sphere has a radius of \(\frac{8}{3}\) feet. What is the volume, in cubic feet, of the sphere?

Which statement is the best interpretation of \(2.00x\) in this context?

If \(\frac{x-16}{27}=\frac{x-16}{9}\), what is the value of \(x+16\)?

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

This system of two linear equations has no solution. Which of the following is NOT a possible value of \(t\)?

If there are \(460\) stamps in Marissa's collection, how many stamps are in Levi's collection?

Which of the following is a solution \((x,y)\) to the system?

What is this speed, in yards per second? (\(3\) feet = \(1\) yard)

Which expression is equivalent to \(158t^{3}-24t^{2}u\)?

What is the total area, in \(mm^{2}\), of circles \(K\) and \(L\)?

Which expression is equivalent to \(2(x-\frac{3}{2})(x+14)\)?

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

What is the value of \(\cos(S)\)?

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

Circle \(B\) has the same center as circle \(A\) but has a radius that is twice the radius of circle \(A\). Which equation represents circl…

What is the value of \(x\)?

Which expression represents the value of \(C\) for distinct positive values of \(P\) and \(N\)?

What is the area, in square units, of triangle \(XYZ\)?

Until the container is full, which of the following can be used to represent the volume \(v\), in milliliters, of water in the container \(…