SAT Practice Questions

What is the y-intercept of the graph shown?

For a particular tree species, it is recommended to plant a maximum of 102 trees per acre. Based on this recommendation, what is the maximu…

Which expression is equivalent to \(11(x^{2}-100y^{2})\)?

Which expression is equivalent to \((9c+8)-(4c^{3}-6)\)?

In \(\triangle JKL,\) the measures of both \(\angle J\) and \(\angle K\) are equal and the measure of \(\angle L\) is \(134^{\circ}\). What…

A student council group is selling car stickers for a fundraiser. They use the function \(p(x)=5x-240\) to model their profit \(p(x)\) in d…

A line in the xy-plane has a slope of 7 and passes through the point \((0,-5)\). Which equation represents this line?

Line r is defined by the equation \(4x-3y=8\). Line s is parallel to line r in the xy-plane. What is the slope of line s?

The table shows three values of x and their corresponding values of y. There is a linear relationship between x and y. What is the y-coordi…

At how many points do the graphs of the equations \(y=x+24\) and \(y=7x\) intersect in the xy-plane?

The cost to rent a bus from Company X is \$850 for the first 2 hours and an additional \$30 per hour for each hour after the first 2 hours.…

A machine fills bags with approximately 29 ounces of walnuts. To test the accuracy of the filling process, 169 bags of walnuts were selecte…

The figure shown consists of a rectangle and a semicircle, where the length of \(\overline{WX}\) is 20 units and the length of \(\overline{…

The kinetic energy K, in joules, of an object is given by the formula \(K=\frac{1}{2}mv^{2}\), where m is the mass of the object, in kilogr…

The function \(f(x)=242(1.040)^{x}\) models the value, in dollars, of a certain bank account from 1953 through 1968, where x is the number …

Solve for x: \((2x-7)^{2}-8(2x-7)+15=0\). What is one possible value for x?

The scatterplot shows the relationship between two variables, x and y. Which of the following equations is the most appropriate model for t…

The function f is defined by \(f(x)=(x-8)(x-5)(x-3).\) In the xy-plane, the graph of \(y=g(x)\) is the result of translating the graph of \…

\((x+3)^{2}+(y-18)^{2}=169\) The graph of the given equation is a circle in the xy-plane. The point (a, b) lies on the circle. Which of the…

Right triangle ABC is shown. What is the value of sin A?

The function \( f \) is defined by \( f(x) = 10x^2 - 38x + 150 \). What is the value of \( f(0) \)?

A shopper goes to a pet store to buy dog food and treats. The shopper has \$20. Each can of food costs \$1.87, and each bag of treats costs…

\(0=(x-k)(7x+t)-(x-k)\) In the given equation, k and t are positive constants. A solution to the equation is \(-\frac{22}{7}\). What is the…

In the figure, line q is parallel to line r, and both lines are intersected by line s. If \(y=2x+9\), what is the value of x?

If \(f(x)=x+2\) and \(g(x)=2x\), what is the value of \(6f(3)-g(3)\)?

\(y=5x+7\) \(y=-4x-11\) The solution to the given system of equations is \((x,y)\). What is the value of y?

The length of the edge of a wood cube is 3.000 centimeters. This cube has a density of 0.170 grams per cubic centimeter. What is the mass o…

A plumbing company charges its customers \$112 for the first hour of a plumbing service call and \$40 for each additional hour, plus the co…

Circle A has equation \((x-7)^{2}+(y+3)^{2}=1\). Circle B is obtained by translating circle A to the right 4 units. Which equation represen…

Ari will add a 135-year-old stamp to her original collection of 51 stamps. Which statement correctly compares the mean ages and median ages…

The graph shown models the possible combinations of the number of M-type stars, \(x\), and K-type stars, \(y\), in a star cluster with a to…

The positive number a is 3,700% of the number c, and c is 20% of the number b. If \(a-b=wc\), where w is a constant, what is the value of w?

An object reaches its maximum height of 70.56 feet, 2.1 seconds after it is launched. Which equation represents this model, where f(t) is t…

Which equation has no solution?

The volume of a right rectangular prism with a square base is 539 cubic centimeters. If the area of each of the four lateral faces is 77 sq…

What is the median number of birds the class observed visiting the bird feeder each school day during this period of time?

The graph of \(y = f(x) + 2\) is shown. Which equation defines function \(f\)?

\(f(x)=5x^{2}+60x+181\) The function g is defined by \(g(x)=f(x+8)\). What is the minimum value of \(g(x)?\)

In a set of four consecutive odd integers \(x\), \(x+2\), \(x+4\), and \(x+6\), the product of 28 and the third odd integer is at most 50 l…

\(-2x^{2}+bx-32=0\) In the given equation, \(b\) is a positive integer. The equation has no real solution. What is the largest possible val…

I. \(f(x)=a(3.3)^{x+b}\) II. \(g(x)=a(3.3)^{x}+b\) Which equation displays the y-coordinate of the y-intercept as a constant or coefficient?

\(\frac{1}{cx}=\frac{x}{76}+\frac{1}{c}\) If the equation has exactly one solution, what is the value of c?

The equation \(d = 33w + 100\) gives the total amount of money \(d\), in dollars, that James plans to save \(w\) weeks after he starts to s…

For the linear function \(f\), the graph of \(y = f(x)\) in the \(xy\)-plane has a slope of \(-2\) and passes through the point \((0, -19)\…

Which expression is equivalent to \(63x^2\)?

Sophia bought confetti and balloons for \$56. Each package of confetti cost \$3, and each balloon cost \$1. If Sophia bought 10 packages of…

In \(\Delta FGH\), the measures of \(\angle F\) and \(\angle G\) are each \(39^{\circ}\). What is the measure of \(\angle H\)?

If \(\frac{1}{6}x + 5 = 8\), what is the value of \(6x\)?

Line \(p\) is defined by \(y = 6x - 8\). Line \(s\) is parallel to line \(p\) in the \(xy\)-plane. What is the slope of line \(s\)?

In the given scatterplot, a line of best fit for the data is shown. Which of the following is closest to the slope of this line of best fit?

The table shows the distribution of height, in centimeters, of 25 objects. Which of the following could be the median height of these objec…

The function \(f(x) = -16x^2 + 99\) gives the estimated height, in feet, of an acorn \(x\) seconds after the acorn fell from a tree. Based …

The \(y\)-intercept of the graph of \(5x + 2y = -18\) in the \(xy\)-plane is \((0, y)\). What is the value of \(y\)?

The length of one side of square \(M\) is 9 times the length of one side of square \(N\). The area of square \(N\) is 25 square centimeters…

What is the positive solution to the given equation \(x(x - 15) = 34\)?

If \(\frac{j}{k} = 62\) and \(\frac{96j}{12zk} = 62\), what is the value of \(z\)?

A researcher is designing a study to investigate the average number of hours students at a high school spend reading per day. The researche…

The functions \(g\) and \(h\) are defined by the equations shown: \(g(x) = \frac{2}{7}x + \frac{8}{5}\) and \(h(x) = 5x - 7\). Which expres…

The height of a right circular cylinder is 6 inches longer than its radius, and the surface area of the cylinder is \(1{,}080\pi\) square i…

In triangle \(JKL\), \(\cos(K) = \frac{36}{60}\) and angle \(J\) is a right angle. What is the value of \(\cos(L)\)?

The graph of \(y = f(x)\) is shown, where \(f(x) = ab^x + c\), and \(a\), \(b\), and \(c\) are constants. For how many values of \(x\) does…

In a certain state, the population of pheasants, a type of bird, is estimated each year by counting the number of pheasants observed along …

The graph of the equation \(y = 5^x + k\) is shown, where \(k\) is a constant. What is the value of \(k\)?

One of the two equations in a system of linear equations is given: \(2x = 20y - 8\). The system has no solution. Which equation could be th…

In the right triangle shown, what is the value of \(x\)?

How many distinct real solutions does the given equation \(x^2 - 100 = 0\) have?

A plant nursery classifies a perennial flower species as tall if its typical height when fully grown is more than 100 centimeters. Each of …

The solution to the given system of equations is \((x, y)\): \(3y = 8x + 18\) and \(-3y = 7x - 26\). What is the value of \(30x\)?

Which value is a solution to the given equation \(\frac{x}{(x - 1)(x + 1)} = \frac{81}{56x}\)?

Which of the following equations has exactly one solution?

The equation \(0.10x + 0.20y = 0.19(x + y)\) gives a volume \(x\), in gallons, of a 10% saltwater solution that could be mixed with a volum…

The function \(f(x) = -(x - 6)^2 + 4\) is defined by the given equation. For what value of \(x\) does \(f(x)\) reach its maximum?

The graph of \(y = f(x) - 11\) is shown. Which equation defines the linear function \(f\)?

The variables \(x\) and \(y\) have a quadratic relationship. When \(x = 0\), \(y = 45\). When \(x = 6\), \(y = 81\). When \(x = 15\), \(y =…

To study fluctuations in leaf water potential, samples of wood were taken from 26 trees and cut in the shape of a cube. The length of the e…

The frequency table summarizes a data set of the weights, rounded to the nearest pound, of 71 Ardeotis kori birds. A weight of 32 pounds is…

In the equation \(x(9x - 2a) + b(9x - 2a) - (x + b) = 0\), \(a\) and \(b\) are positive constants. A solution to the equation is \(x = 42\)…

The shaded region shown represents the solutions to \(rx + ty \ge -77\), where \(r\) and \(t\) are constants. What is the value of \(r + t\…

In the given equation \(3w^2 + 11w + c = 0\), \(c\) is a constant. A solution to the equation is \(\frac{-11 + \sqrt{433}}{6}\). What is th…

The composition of an animal is defined as the muscles, bones, and fat of the animal. A scientist studied the composition of one young swam…

A line intersects two parallel lines, forming four acute angles and four obtuse angles. The measure of one of the acute angles is \((7x - 6…

The given equation \(\frac{49}{p} = \frac{49}{q} - \frac{49}{r} - \frac{49}{s}\) relates the positive variables \(p\), \(q\), \(r\), and \(…

For groups of 25 or more people, a museum charges \$22 per person for the first 25 people and \$14 for each additional person. Which functi…

A right rectangular prism has a base area of \(28p\) square centimeters (\(\text{cm}^2\)). The length of the base of the rectangular prism …

Line r in the \(xy\)-plane has a slope of \(-6\) and passes through the point \((0,70)\). Which equation defines line r?

Which expression is equivalent to \(14(x^{2}-9)\)?

The function \(f\) is defined by \(f(x)=7x^{3}+5\). What is the value of \(f(2)\)?

A car travels at a speed of at least 25 miles per hour but no more than 55 miles per hour for a certain part of a trip. Which inequality re…

The ratio of \(k\) to \(p\) is constant. If \(k=7\), then \(p=4\). What is the value of \(k\) when \(p=36\)?

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

Which expression is equivalent to \((x^{24})^{\frac{1}{2}}\) where \(x>0\)?

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

The number of bacteria in a liquid medium doubles every day. There are 48,000 bacteria in the liquid medium at the start of an observation.…

What is the slope of the graph of \(12x-3y=-16\) in the \(xy\)-plane?

\(-6(v-5)(v-3)(v+9)=0\) What value of \(v\) is a solution to the given equation?

If one of these colonies has 52 worker ants, which of the following is closest to the predicted number of larvae in the colony?

How many centimeters are equivalent to 24 meters? (\(1\) meter = \(100\) centimeters)

In triangle DEF, the measure of angle D is \(49^{\circ}\) and the measure of angle E is \(107^{\circ}\). In triangle RST, the measure of an…

If \(-9(13-5x)+3 = -10(13-5x)+21\), what is the value of \(13-5x\)?

The function \(f(t)=80,000(2)^{\frac{t}{810}}\) gives the number of bacteria in a population \(t\) minutes after an initial observation. Ho…