SAT Practice Questions

What is the \(y\)-coordinate of the \(y\)-intercept of the graph shown?

For \(\sin a^\circ = \cos b^\circ\), which of the following is true?

If the function \(f(x) = x^{3} - x^{2} + px - 3\) has a zero at \(x = 1\), what is the value of \(p\)?

Which factored expression below is equivalent to \(x(2x - 4)(-x + 3)\)?

The function \(h\) is defined by \(h(x) = 5\lvert x \rvert\). What is the value of \(h(-4)\)?

A right triangle has acute angles with measures \(a^{\circ}\) and \(b^{\circ}\). Which of the following must be true?

The table summarizes the daily high temperatures, in degrees Fahrenheit, recorded in a town for the 31 days of December 2024. In January 20…

Which of the following is equivalent to \(\dfrac{x^{2} + 5x + 5}{x + 5}\)?

If \(\frac{x^{2} + 1}{x + 1} = x - 1 + \frac{b}{x + 1}\) is true for all values of \(x\), what is the value of \(b\)?

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?

The scatterplot shows the relationship between two variables, \(x\) and \(y\). A line of best fit is also shown. Which of the following is …

Based on the text, what can be concluded about clothing made during the Ice Age?

Based on the text, what can be concluded about clothing made during the Ice Age?

In the given equation shown below, \(q\) is an integer constant. The given equation has no real solutions. What is the largest possible val…

The nonzero real numbers \(a\), \(b\), and \(n\) satisfy the equations \(\frac{5a}{b} = 6.6\) and \(\frac{a}{bn} = 26.4\). What is the valu…

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

\[-3(x^{6} - 64)(x^{3} - 27) = 0\] How many distinct real solutions does the given equation have?

According to the text, the difference between Lang and colleagues' findings and Wright's findings can be attributed to which difference bet…

The base of a pyramid has the same area as the base of a cylinder, and the cylinder is twice the height of the pyramid. What is the ratio o…

Which choice completes the text with the most logical transition?

The solution to the system of equations \(x^{2} + y + 11 = 11\) and \(14x + 49 - y = 0\) is \((x, y)\). What is the value of \(x\)?

Which choice best describes the function of the underlined portion in the text as a whole?

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

In right triangle \(CDE\) above, \(\cos C = \frac{1}{2}\). If the hypotenuse is \(10\) centimeters long, what is the length of side \(d\)?

What is the \(x\)-intercept of the graph of \(px + 18y = 3\) in the \(xy\)-plane, where \(p\) is a positive constant?

\[-12m + \frac{n}{36} = -3k\] The given equation relates the quantities \(m\), \(n\), and \(k\). Which equation correctly expresses \(n\) i…

The figure shows two curves with asymptotes \(y = -4\) and \(x = -1\). The curves pass through the points \(\left(-6, -\frac{27}{5}\right)\…

If \(\sin x = \frac{3}{5}\) and \(\cos x < 0\), find \(\tan x\).

Which choice completes the text with the most logical transition?

Which choice completes the text with the most logical transition?

In the figure above, circle \(A\) has a radius of \(3\). If the area of the shaded region is \(8\pi\), what fraction of the area of the cir…

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?

Which choice most logically completes the text?

Which choice completes the text with the most logical transition?

A rectangle has a length of 3 centimeters and a width of 2 centimeters. What is the perimeter, in centimeters, of this rectangle?

Which choice most logically completes the text?

As used in the text, what does the word "tell" most nearly mean?

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

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

What is the smallest positive value of \(c\) such that \(2\sin(4c^{\circ}) = \sqrt{3}\)?

Which choice best describes the overall structure of the text?

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

If \(\cos \frac{\pi}{3} = x - 1\), then what is the value of \(x\)?

The solution to the system of equations \[ 2x + 7y = 5 \\ 6x - 3y = 39 \] is \((x, y)\). What is the value of \(8x - 6y\)?

In the given system of equations, \(r\) is a constant. The system has infinitely many solutions. What is the value of \(r\)?\[ 4x + 7y = 20…

The student wants to emphasize a similarity between the two films. Which choice most effectively uses relevant information from the notes t…

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

The table gives how many correct answers 5 students found in the final exam. What is the median score of these 5 students?

In a unit circle with center \(O\), the length of arc \(AB\) is the value of \(\frac{\pi}{4}\). What is the tangent of \(\angle AOB\)?

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?

Points \(A\) and \(B\) lie on a unit circle, and arc \(AB\) has length \(\pi/4\). What fraction of the circumference of the circle is the l…

Which of the following is a factor of \(6xy - 9y + 8x - 12\)?

When the polynomial \(x^{4} - 3x^{3} - 7x^{2} + 7x + 2\) is divided by \(x + 2\), the quotient is \(x^{3} + Bx^{2} + Cx + 1\). Find the val…

\(f(x) = (1.06)^{3 - 5x}\). The function \(f\) is defined by the given equation. The equation can be rewritten as \(f(x) = a\left(1 - \frac…

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?

From left to right, the values of the vertical bars in a box plot are as follows: First: 3. Second: 5. Third: 6. Fourth: 7. Fifth: 9. The b…

The solutions to \(x^{2} - 3x - 7 = 0\) are \(\frac{3 - \sqrt{p}}{2}\) and \(\frac{3 + \sqrt{p}}{2}\). If the solutions to \(x^{2} - 17x + …

\[ 2xy + 3xt - 13yt = 0 \]In the given equation, \(x\) and \(y\) are positive and \(x < y\). Which equation correctly expresses \(t\) in te…

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

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 with the most logical and precise word or phrase?

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

If \(x - 2\) is a factor of \(x^{3} - kx^{2} + kx + 2\), where \(k\) is a constant, what is the value of \(k\)?

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

Clockwise from top left, three lines are labeled \(t\), \(r\), and \(s\). Line \(t\) intersects both line \(r\) and line \(s\). At the inte…

Object A has a mass of \(k\) hectograms. The mass, in hectograms, of object B is 135% of the mass of object A. The positive difference betw…

Which choice most logically completes the text?

What is the \(x\)-intercept of the graph of \(y = \frac{33-x}{ax+b}\) in the \(xy\)-plane, where \(a\) and \(b\) are positive constants?

Which choice completes the text with the most logical transition?

The scatterplot shows 6 data points in a linear pattern trending up from left to right. A line of best fit slants up from left to right and…

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 so that it conforms to the conventions of Standard English?

Which choice completes the text with the most logical transition?

Each circle shown in the \(xy\)-plane above has center \((-2, 2)\), and their radii are \(4\) and \(6\). What is the area of the shaded reg…

What is the slope of the graph of \(y = \frac{6}{19}x\) in the \(xy\)-plane?

Which choice most logically completes the text?

A graph shows two curves. First curve: moving left to right, the curve is in quadrant 3. As \(x\) decreases, the curve approaches the line …

In the circle above, \(D\) is the center, \(AC\) is a diameter, and point \(B\) lies on the circle. If \(AB = BD\), what is the value of \(…

Which choice best states the main purpose of the text?

Which of the following equations has the same solution as \(-2(15x + 12) = 74\)?

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

In a unit circle with center \(O\), the length of arc \(PQ\) is \(\frac{\pi}{6}\). What is \(\sin(\angle POQ)\)?

In the figure above, \(\tan \theta = \dfrac{5}{12}\). What is the length of the ramp, in feet, if its height is \(7.5\) feet?

Which choice completes the text so that it conforms to the conventions of Standard English? Note: the sentence begins 'Mountain goats were …

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

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

One solution to the given equation can be written in the form \(3 + \frac{\sqrt{d}}{2}\), where \(d\) is a positive integer: \[4x^2 - 24x +…

The scatterplot shows the relationship between two variables, \(x\) and \(y\), with a line of best fit. The 6 data points fall in a linear …

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?

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

A recipient of the Wolf Prize in Chemistry and the Golden Plate Award of the American Academy of Achievement, &nbsp;&nbsp;&nbsp;&nbsp;&nbsp…

y = 10(x-6) 2 - 4 The given equation represents a parabola in the xy-plane. Which of the following is the vertex of this parabola?