SAT Practice Questions

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?

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?

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?

The function \(T(x) = 66 - 8x\) estimates the temperature, in degrees Fahrenheit (\(^\circ\)F), in a certain city one day in January, where…

The function \(f\) is defined by \(f(x)=8x^{2}+kx-17\), where \(k\) is a constant. In the xy-plane, the graph of \(y=f(x)\) passes through …

If \(|16 - 2x| = 58\), which of the following is a value of \(8 - x\)?

\[ 2x^{2} - 8x - 21 = 0 \] One solution to the given equation can be written as \( x = h - \frac{\sqrt{k}}{2} \), where \( h \) and \( k \)…

The relationship between the variables \(x\) and \(y\) is defined by an exponential equation. When \(x = 0\), the value of \(y\) is \(30\),…

In the figure shown, line \(r\) is parallel to line \(s\). One of the angles formed by the transversal is \(49^\circ\), and another alterna…

\(y > -36\) Which shaded region represents the solutions to the given inequality?

\[ y > x \\ y Which point \( (x, y) \) is a solution to the given system of inequalities in the xy-plane?

\[r(m)=(1.037)^{4m}\]The function \(r\) is defined by the given equation. The value of \(r(m)\) increases by \(p\%\) for each increase by \…

The function \( g \) is defined by \( g(x) = 2x^2 - 95 \). What is the y-coordinate of the y-intercept of the graph of \( y = g(x) - 4 \) i…

\[ x + y + z = 53 \]The given equation relates the number of miles, \( x \), that a cyclist biked on Monday, the number of miles, \( y \), …

Triangle ABC is similar to triangle DEF, such that A, B, and C correspond to D, E, and F, respectively. The measure of angle A is \(35^\cir…

A chemist combines water and isopropanol to make a mixture with a volume of 35 milliliters (mL). The volume of isopropanol in the mixture i…

In a certain colony, one of the bees is a queen bee. Of the bees in this colony that are not the queen bee, 85% are worker bees, and the re…

In the ancient Roman measurement system, a leuga was a unit of length that was equal to 7,500 pedes. In this measurement system, how many p…

There are 176 teams participating in a basketball tournament. Each team participating in the tournament will play against another team in r…

Circle A: \[ (x - 7)^{2} + (y - p)^{2} = 21 \]Circle B: \[ (x + 7)^{2} + (y - p)^{2} = 21 \]In the given equations, \( p \) is a positive c…

\[ 9x(x + 5) = r \]In the given equation, \( r \) is a positive constant. Which of the following must be true?

The function \(f\) is defined by \(f(x) = 10(x - 3.3)^2 + 330\). What is the minimum value of \(f(x)\)?

What is the solution to the equation \(5\sqrt{x-19}=\sqrt{7}\)?

\[ \sqrt{(4y)^{3}} = 8\left(\sqrt[9]{y}\right)^{k} \] In the given equation, \( y > 0 \), and \( k \) is a constant. What is the value of \…

Pilar has spent \$183 on office supplies for her business this month. She does not want her total monthly expenses on office supplies to ex…

\[ y > 2x + k \\ y In the given system of inequalities, \(k\) is a positive constant. Which of the following represents the \(x\)-coordinat…

In the figure, \( \overline{WZ} \) and \( \overline{XY} \) intersect at point \( Q \), \( QY = 17 \), \( WX = 26 \), \( QZ = 29 \), and \( …

For the linear function \(h\), \(h(4)=3\) and \(h(8)=6\). Which equation defines \(h\)?

An equation of the line shown is \(11x + By = C\), where \(B\) and \(C\) are constants. What is the value of \(C\)?

The minimum value of \(x\) is \(9\) less than \(6\) times another number \(n\). Which inequality shows the possible values of \(x\)?

\[f(x) = 11^{-4(x+1)}\] Which of the following equivalent forms of the given function \(f\) displays, as the base or the coefficient, the \…

The area of a rectangular field is \(2{,}661\) square feet. The field's length \(x\), in feet, is \(23\) feet longer than its width, in fee…

The function \(f\) gives the product of a number, \(x\), and a number that is 88 more than \(x\). Which equation defines \(f\)?

An object is kicked from a platform. The equation \(h=-4.9t^2+13t+15\) represents this situation, where \(h\) is the height of the object a…

Line c is defined by \(y = 2x + 9\). Line d is parallel to line c in the xy -plane. What is the slope of line d ?

A right isosceles triangle has an area of \(48\) square units. What is the length, in units, of the hypotenuse?

A length of \( 380 \) meters is equal to how many decimeters? \( (1 \text{ meter} = 10 \text{ decimeters}) \)

Which expression is equivalent to \( 5xy + 30x^{2}y + 35xy^{2} \)?

For an exponential function, the value of \(f(x)\) increases by \(110\%\) for every increase of \(\frac{1}{3}\) in the value of \(x\). Whic…

\[ x^{2} + \sqrt{k-3}\,x + 42 = 0 \]In the given equation, \( k \) is a constant. The equation has exactly one real solution. What is the v…

The table shows values of \(x\) and their corresponding values of \(y\) for three points on line \(j\) in the xy-plane. Line \(k\) also lie…

A circle in the \( xy \)-plane has its center at \( (-5, -6) \) and intersects the line \( y = a \) at exactly one point, where \( a \) is …

Points \( X \), \( Y \), and \( Z \) lie on a circle. If angle \( XYZ \) is equal to \( 142.1^\circ \), what is the sum of the measure of a…

Which expression is a factor of \(x^{4} + 14ax^{2} + 49a^{2} - 64\), where \(a\) is a positive constant?

The function \(f\) is defined by \(f(x) = (x - 3) + 2\). If \(f(a) = 7\), what is the value of \(a + 3\)?

The function \(f\) is defined by \(f(x) = -\dfrac{1}{2}(x - 9) + 8\). For what value of \(x\) does \(f(x) = 4a\), where \(a\) is a constant?

A museum exhibit displays 73 artifacts on day 1. On each following day, 3 artifacts are added to the exhibit. The function \(f(x) = 3(x - 1…

The point \((9, 3)\) in the \(xy\)-plane is a solution to which of the following systems of inequalities?

Which expression is equivalent to \( 20x^{3} + 4x \)?

The student wants to use data to support Diamantopoulos's thesis. Which choice most effectively uses relevant information from the notes to…

\[x + y = 300\]The given equation relates the total number of bur oak trees, \(x\), and the total number of other oak trees, \(y\), planted…

Which of the following expressions is(are) a factor of \(5x^{2} + 22x - 48\)? I. \(x - 6\) II. \(5x - 8\)

The student wants to provide a historical overview of the Shackleton expedition. Which choice most effectively uses relevant information fr…

In triangle \(XYZ\), the measure of angle \(X\) is \(90^\circ\). Point \(W\) lies on segment \(YZ\), and segment \(WX\) is perpendicular to…

The figure shown is a trirectangular tetrahedron, a three-dimensional figure with four triangular faces, three of which are right triangles…

The student wants to specify how many spacewalks Chari has completed. Which choice most effectively uses relevant information from the note…

The student wants to emphasize how much bigger the Sun is than Earth. Which choice most effectively uses relevant information from the note…

\[10x + 35y = 11\]The given equation is one equation in a system of two linear equations. The system has more than one solution. Which of t…

The graph of the function \( f \), where \( y = f(x) \), gives the total cost \( y \), in dollars, for a certain video game system and \( x…

The function \(v(t) = 3t + 60\) gives the volume of water, in liters, in a tank being filled by a hose \(t\) minutes after the hose was tur…

What is an equation of the graph shown?

REPLACED [ADDED MISSING DATA: x = 5, y = 10, etc.]

A function \(p\) estimates that there were 2,500 whales in a population in 1998. Each year from 1998 to 2010, the function estimates that t…

\[ 15x + 30 = 180 \]Which equation has the same solution as the given equation?

In triangle \(XYZ\), a line segment \(VW\) is parallel to \(XZ\), with \(VW = 35\) and \(XZ = 55\), as shown in the figure. If \(YV = a\), …

Line \(q\) is defined by \( y = -\frac{1}{7}x - 1 \). Line \(r\) is perpendicular to line \(q\) in the xy-plane. What is the slope of line …

Zuri has a goal to run at least 17 miles per week while training for a race. This week, she has run 8 miles. If \(x\) represents the additi…

\[ r + g For which of the following tables are all the values of \(r\) and their corresponding values of \(g\) solutions to the given inequ…

\[ v = -\frac{w}{119x} \] The given equation relates the distinct numbers \(v\), \(w\), and \(x\). Which equation correctly expresses \(w\)…

\[f(x) = (x - 5) + 2\] The function \(f\) is defined by the given equation. If \(f(a) = 8\), what is the value of \(a + 5\)?

The student wants to identify who wrote the Árya-Siddhánta. Which choice most effectively uses relevant information from the notes to accom…

What is the y-intercept of the graph of the given equation in the \(xy\)-plane?

At an amusement park, visitors wait in line for a certain ride. People in this line get on the ride at a rate of 12 people per minute. At t…

If \(\frac{x+6}{5} = \frac{x+6}{13}\), the value of \(x + 6\) is between which of the following pairs of values?

\[ f(x) = (x - 1)^{2} + 6 \] What is the minimum value of the given function?

Which choice most effectively uses information from the given sentences to introduce Acoustic Soul to an audience already familiar with Ind…

The measure of angle \( A \) is \( \frac{\pi}{24} \) radians. If the measure of angle \( A \) is \( n \) degrees, where \( n \) is a consta…

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

The combined original price for a towel and chair is \$40. After a 35% discount to the towel and a 15% discount to the chair are applied, t…

To win a trivia game, a player needs to earn at least 80 total points from responding correctly to questions in two rounds of play. Correct…

For a psychology class, a student's research paper needs to have no more than 5,000 words. If a student has already written 3,029 words, wh…

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

Triangle \(XYZ\) shown is a right triangle. Which of the following has the same value as \(\sin X\)?

The polynomial \(p(x)\) is defined as the product of the given polynomials, \(f(x) = 11x^{10} + 2x^{8}\) and \(g(x) = -14x^{7} + 9x^{5}\). …

The functions \(f\) and \(g\) are defined by the given equations, where \(a\) and \(b\) are integer constants, \(a 1\). If \(y=f(x)\) and \…

The Southern Oscillation Index (SOI) predicts weather patterns in the Pacific Ocean. SOI values less than \( -7 \) over a period of time pr…

Which choice most effectively uses information from the given sentences to emphasize when Makeba became popular?

During a 6-day period, a weather station recorded a total of \(2.3\) inches of rain and snow. During this period, the weather station recor…

The equation \(s = 50 + 4t\) gives the speed \(s\), in miles per hour, of a certain car \(t\) seconds after it began to accelerate. What is…

\[x^{2} - 4 = 32\]Which value is a solution to the given equation?

Which of the following is equivalent to \(\dfrac{44(k+2)}{4(k+2)}\), where \(k > -2\)?

Under a certain magnifying lens, the apparent length, in millimeters, of an object is a constant multiple of its actual length, in millimet…

Hassan put up wire fencing along each edge of a rectangular garden with a length of \(x\) feet and a width of \(y\) feet. Hassan put up a t…

\[ x^{2} - 2x = 33 \] What is one of the solutions to the given equation?

The table gives the perimeters of similar triangles \(TUV\) and \(XYZ\), where \(T\) corresponds to \(X\), \(U\) corresponds to \(Y\), and …

There are 195 student athletes at Central High School. A sample of the student athletes was selected at random and asked whether they inten…

\[ x - a = (x - a)(x - 27) \] Which of the following are solutions to the given equation, where \(a\) is a constant and \(a > 28\)? I. \(a\…