SAT Practice Questions

\[ \begin{cases} y = x^{2} - 6x + 13 \\ 2x + y = k \end{cases} \]In the given system of equations, \(k\) is a constant. If the system has e…

If \(x + 5y = 30\) and \(6x - 25y = -90\), what is the value of \(y\)?

Which choice most effectively uses information from the given sentences to emphasize the different years in which the books reached the NYT…

A parabola in the xy-plane has a vertex of \((1, 35)\). The equation \(y = -ax^{2} + bx + c\) represents this parabola, where \(a\), \(b\),…

The student wants to contextualize Lise Meitner's theoretical breakthrough in nuclear fission. Which choice most effectively uses relevant …

\[ y = 4x + 36 \] One of the two equations in a system of linear equations is given. The system has infinitely many solutions. Which equati…

\[ f(x) = -2(x - 4)^{2} + 18 \]The function \( f \) is defined by the given equation. For what value of \( x \) does \( f(x) \) reach its m…

The function \(f\) is defined by \(f(x) = x^{2} - 76\). What is the value of \(f(x)\) when \(x = 10\)?

Triangle \(ABC\) is similar to triangle \(DEF\), where angle \(A\) corresponds to angle \(D\) and angle \(C\) corresponds to angle \(F\). A…

A machine makes parts of three different sizes. During a certain day, the number of parts of one size is \( 5 \) times the number \( n \) o…

An object is launched above the ground. A quadratic function \(f\) models the height above the ground, in feet, of the object \(x\) seconds…

Triangles \(ABC\) and \(DEF\) are similar, where \(A\) corresponds to \(D\) and \(B\) corresponds to \(E\). The measure of angle \(F\) is \…

Which choice most logically completes the text?

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?

A circle has center \(O\), and points \(P\) and \(Q\) lie on the circle such that segment \(PQ\) is a diameter of the circle. The length of…

A machine launches a baseball from ground level. The baseball reaches a maximum height of 134.56 meters above the ground at 2.9 seconds and…

\(y = 8(x - d)(x + d)(x + h)(x - d)\) In the given equation, \(d\) and \(h\) are unique positive constants. When the equation is graphed in…

A circle has a center O and a radius r. An arc XY on the circle has a length of \(\frac{5}{9}\)πr. What is the measure of the central angle…

The table gives three values of \(x\) and their corresponding values of \(y\), where \(k\) is a positive constant. There is a linear relati…

Which choice most effectively uses data from the graph to complete the statement?

The student wants to write a paragraph that focuses on the role of chemosynthesis in the ecosystem described in the notes. Which choice mos…

Which choice most effectively uses data from the table to complete the statement?

The table summarizes the distribution of average pitching speed, in miles per hour (mph), for a sample of 26 pitches in a youth softball le…

Which choice completes the text with the most logical transition?

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

Which statement, if true, would most strongly support the claim in the underlined portion?

The figure shows a rectangle with a length of \(n\) centimeters (cm) and a width of \(w\) cm. The rectangle has a perimeter of \(174\) cm. …

Which choice best describes data from the graph that support Dr. Romanova's hypothesis?

A quantity is increased by 20% and then decreased by \(p\)%. The final value is 4% less than the original value. What is the value of \(p\)?

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

The figure shows a rectangle with a length of \(l\) centimeters (cm) and a width of \(w\) cm. The rectangle has a perimeter of 118 cm. Whic…

Based on the information given, which choice most effectively uses data from the table to complete the student's conclusion?

The student wants to explain how the kingfisher's beak structure was used to solve the bullet train's sonic boom problem. Which choice most…

The expression \(13x(x^{2} + 6)\) is equivalent to \(ax^{b} + cx\), where \(a\), \(b\), and \(c\) are constants. What is the value of \(abc…

Which choice best states the main idea of the text?

The student wants to indicate why the two roads were selected to be NSBs. Which choice most effectively uses relevant information from the …

\[ y = 13x + 6 \] The first equation in a system of two linear equations is given. The system has no solution. The second equation in the s…

Which choice most logically completes the text?

If \(2\sqrt{6x} = 4\), what is the value of \(30x\)?

\[ f(x) = 90 + 80x \] For a certain type of repair, the function \(f\) gives the total amount, in dollars, an electrician charges for mater…

The function \(f(x)=2x^2-3x+c\) has a minimum value of \(-\frac{17}{8}\). What is the value of \(c\)?

Which choice best states the main purpose of the text?

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 student wants to emphasize a similarity between Robert Frost and Sinclair Lewis. Which choice most effectively uses relevant informatio…

Based on the text, why was the sleight-of-hand step an important part of the experiment?

Which choice best describes the function of the reference to "anvil and strife" in the text as a whole?

Kaden owns a business that makes signs. The equation \(t = 12s + 13\) gives the total time \(t\), in minutes, it takes Kaden's business to …

\[ \frac{a}{b + c} = 67 \] The given equation relates the positive numbers \(a\), \(b\), and \(c\). Which equation correctly expresses \(a\…

Sphere A and Sphere B are tangent to each other at point P. Segment MP is a diameter of Sphere A, segment NP is a diameter of Sphere B, and…

Which choice best states the function of the underlined sentence in the text as a whole?

Based on the texts, how would Amartya Sen (Text 2) most likely evaluate the core assumption of the traditional welfare models described in …

A sphere is inscribed in a right circular cylinder, as shown. The sphere touches the center of each base of the cylinder. The sphere and th…

The student wants to emphasize a difference between the two lighthouse keepers. Which choice most effectively uses relevant information fro…

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

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

Which finding, if true, would most strongly support the researchers' conclusion?

Which choice completes the text with the most logical transition?

A line has slope \(\frac{7}{15}\) and passes through \((6,-2)\). If the line passes through \((21,k)\), what is the value of \(k\)?

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

The sum of a number \(x\) and the number that is 5 less than the number is 57. What is the value of \(x\)?

The student wants to emphasize a similarity between the items found at Lamb Spring and those found at Burnham. Which choice most effectivel…

An object's speed is increasing at a rate of 12.9 meters per second squared. What is this rate, in miles per minute squared, rounded to the…

Marko purchased a camera in September 2017 when the camera had a value of \(\$1{,}000\). Each month for the next 50 months, the value of th…

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

Which choice most logically completes the text?

Based on the texts, how would the author of Text 2 most likely respond to the preservation approach advocated in Text 1?

The estimated total pressure a diver experiences below the surface of the water is equal to the sum of the estimated water pressure and the…

\[ y = 5x + 28 \\ y = 5x + 38 \] How many solutions does the given system of equations have?

If the area of a circle is \(81\pi\), which of the following is the circumference of the circle?

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

Which choice most logically completes the text?

For how many real values of \(k\) does the equation \(x^2+(k-4)x+k=0\) have exactly one real solution?

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

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

The expression \(9(x - 3)(x + 3)(x^{2} - 4)\) is equivalent to \(9x^{4} - rx^{2} + p\), where \(r\) and \(p\) are constants. What is the va…

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

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

In context, the text's characterization of the biodiversity in city parks as "hidden" most clearly conveys which idea?

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

A capillary tube is used to hold a substance while measuring its melting point. The volume of the substance in this capillary tube is 2.23 …

If \( \dfrac{x}{y} = 3 \) and \( \dfrac{5x}{ty} = 105 \), what is the value of \( t \)?

Which choice best captures St. Ogg's as it is presented by the narrator in the text?

Which finding, if true, would most directly support the researchers' conclusion?

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

For two acute angles \(X\) and \(Y\), the measure of angle \(Y\) is \(28^\circ\) and \(\dfrac{\sin X}{\cos Y} = 1\). What is the measure, i…

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

A standard deck of playing cards has 52 cards, with 13 cards in each of four suits: clubs, diamonds, hearts, and spades. Each suit has thre…

\[ \frac{3}{c} - \frac{5}{d} = 7 \] The given equation relates the variables \(c\) and \(d\), where \(c\) and \(d\) are positive constants.…

How many solutions does the equation \(5(2x + 3) = 0\) have?

Which statement about hummingbird preferences is most strongly supported by the text?

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

Based on the text, what does Jack most likely believe about Bartley?

In context, which choice best completes the main argument presented in the text?

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

Which expression is equivalent to \(18x^{2} + 3x\)?

Which consideration, if true, should make the farmer most hesitant to rely on what the table suggests is the most profitable feeding system?

A right square pyramid has a base with side lengths of 3 centimeters. The height of the pyramid is 12 centimeters. What is the volume, in c…

According to the text, which methods of positive expressive writing did Hoult and colleagues conclude were most consistently effective?