SAT Practice Questions

Which expression is equivalent to \((3c+9)-(4c^{3}-5)\)?

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…

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…

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

What is the solution \( (x, y) \) to the given system of equations? \( y=6x+16 \), \( -7x-y=36 \).

The shaded region shown represents solutions to an inequality. Which ordered pair \((x,y)\) is a solution to this inequality?

At how many points do the graphs of the equations \(y=4x\) and \(y=x+13\) intersect in the xy-plane?

The table shows three values of \(x\) and their corresponding values of \(y\). There is a linear relationship between \(x\) and \(y\). What…

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

If \(13r=10r+27\), what is the value of \(4r\)?

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

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

A set designer is hammering nails along the top edge of a wall. Starting at one end of the edge, the designer hammers a nail every \(\frac{…

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

For the function \(f\), \(f(x)=-10x+b\), where \(b\) is a constant and \(f\left(\frac{2}{5}\right)=-53\). What is the value of \(b\)?

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

Which of the following equations has exactly one solution?

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

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

An exponential function \(f\) is defined by \(f(x)=c^{x}\) where \(c\) is a constant greater than 1. If \(f(7)=9 \cdot f(5)\), what is the …

A certain blue whale calf weighed 5,600 pounds when it was born, and its weight increased at an average rate of 250 pounds per day for the …

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…

Line \(r\) is defined by the equation \(6x-5y=6\). Line \(s\) is parallel to line \(r\) in the xy-plane. What is the slope of line \(s\)?

Which of the following equations displays, as a constant or coefficient, the minimum value of the function it defines, where \(x\ge0\)? I. …

The function \(f(x)=236(1.022)^{x}\) models the value, in dollars, of a certain bank account from 1958 through 1973, where \(x\) is the num…

For the function \(f\), for each increase in the value of \(x\) by \(c\), where \(c\) is a positive constant, the value of \(f(x)\) increas…

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

Function \(f\) is a quadratic function where \(f(-20)=0\) and \(f(-4)=0.\) The graph of \(y=f(x)\) has a vertex at \((r,-64).\) What is the…

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

The cost to rent a bus from Company X is \$950 for the first 2 hours and an additional \$50 per hour for each hour after the first 2 hours.…

Which of the following functions gives the cost \(C(d)\), in dollars, of renting the power washer for \(d\) days, where \(d\) is a positive…

Which choice completes the text with the most logical transition?

Which statement best compares the standard deviations of scores for these teams?

Which equation has no solution?

Which choice completes the text with the most logical transition?

The student wants to emphasize the order in which the two films were released. Which choice most effectively uses relevant information from…

Which choice completes the text so that it conforms to the conventions of Standard English?

Which choice completes the text so that it conforms to the conventions of Standard English?

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

Which choice best states the main idea of the text?

Which choice most logically completes the text?

Which choice completes the text with the most logical transition?

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…

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

Which choice completes the text with the most logical transition?

Which choice most logically completes the text?

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

The student wants to contrast the two plants. Which choice most effectively uses relevant information from the notes to accomplish this goa…

Which choice best states the main idea of the text?

Which choice most logically completes the text?

Which choice completes the text so that it conforms to the conventions of Standard English?

Which choice best states the main idea of the text?

In the figure shown, \(\overline{JM}\) is the diameter and \(\overline{LM}\) is a radius of semicircle \(L\), and point \(K\) is the midpoi…

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

\((3x-8)^{2}-11(3x-8)+28=0\) What is one possible value of \(x\)?

Which choice most logically completes the text?

Which choice best states the main idea of the text?

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…

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…

Which choice completes the text with the most logical and precise word or phrase?

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 \(s\)?

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

Which choice completes the text so that it conforms to the conventions of Standard English?

Which choice completes the text with the most logical transition?

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…

Which choice most logically completes the text?

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…

Which choice completes the text so that it conforms to the conventions of Standard English?

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?

Which choice best describes the main purpose of the text?

A quadratic model gives the predicted instantaneous rate of change, in bacteria per hour, of a bacteria population as a function of the pop…

Which choice completes the text so that it conforms to the conventions of Standard English?

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

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

\(y=2x^{2}-15x+23\), \(y=x+a\). The graphs intersect at exactly one point \((x, y)\). What is the value of \(x\)?

Which choice most logically completes the text?

Which choice completes the text with the most logical and precise word or phrase?

A machine fills bags with approximately 11 ounces of sugar. To test the accuracy of the process, 132 bags of sugar were selected at random …

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…

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…

Which choice completes the text with the most logical and precise word or phrase?

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

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

Which choice completes the text with the most logical transition?

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…

Which choice completes the text so that it conforms to the conventions of Standard English?

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…

The text makes which point about the people at the gathering?

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 …

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

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

Which choice completes the text with the most logical transition?

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?

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 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)…

Which choice completes the text with the most logical transition?

Which choice most logically completes the text?

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

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

Which choice completes the text so that it conforms to the conventions of Standard English?