SAT Practice Questions

The graph models the population, in thousands, of a town \(x\) years since 2003, where \(0 \le x \le 15\). Which statement is the best inte…

A pet service that takes care of both cats and dogs can care for at most 41 animals. Which inequality represents this situation, where \(c\…

\[ 10 + \frac{6(7-x)}{5} = \frac{4(7-x)}{3} \] If the given equation is true, which equation must also be true?

\[ y = 2(a)^{x+c} - b \] How many times does the graph of the given equation in the xy-plane cross the x-axis, where \( a \), \( b \), and …

\[2x + 5y = 7 \\ 8x + 20y = 28\]For each real number \(r\), which of the following points lies on the graph of each equation in the \(xy\)-…

For a certain job, an electrician charges \$70 per hour for labor plus \$125 for parts. Which function represents the total amount, in doll…

How many solutions does the given equation have? \[(x + 6)^{2} + (y - 6)^{2} = 9\]

Which expression is equivalent to \( 16\left(x^{2} - 6\right) \)?

At a convention center, there are a total of 275 visitors. Each visitor is located in either room A, room B, or room C. If one of these vis…

An ice cream shop buys spoons for \$0.05 each and bowls for \$0.48 each. The total cost of \( x \) spoons and \( y \) bowls is \$578.10. Wh…

An environmental scientist studies the decomposition of paper bags when the bags are placed in an environment with a certain type of bacter…

Functions \(f\) and \(g\) are given by \(f(x) = x^{2} + bx\) and \(g(x) = 9x^{2} - 63x\), and in function \(f\), \(b\) is a constant. If \(…

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

In triangle \(ABC\), \(\overline{DE}\) is parallel to \(\overline{AC}\), \(BD = AD\), \(BE = 9\), and \(AC = 8\). What is the length of \(\…

Which of the following expressions has a factor of \(x + 2b\), where \(b\) is a positive integer constant?

The price to rent an event space is \(1{,}200\) dollars for the first \(3\) hours and \(200\) dollars for each additional hour. What is the…

Which value is a solution to the given equation? \[(x - 11)(x - 6) = 0\]

Line \(k\) is defined by \(y = 7x + \frac{1}{4}\). Line \(j\) is perpendicular to line \(k\) in the xy-plane. What is the slope of line \(j…

Circle A: \((x - 2)^{2} + (y + 9)^{2} = 16\) Circle B: \((x - 5)^{2} + (y - 17)^{2} = 16\) In the xy-plane, which translation of the graph …

Which quadratic equation has no real solutions?

\[22(x - 1) = 2(-11 + 11x)\]How many solutions does the given equation have?

The function \( v \) is defined by the equation \( v(x) = x^{2} + bx + c \), where \( b \) and \( c \) are constants. In the xy-plane, the …

An exponential model for the number of squirrels in a certain area estimates that there were 200 squirrels in the area in the year 2003, an…

\[44x^{2} + (44b + a)x + ab = 0\] In the given equation, \(a\) and \(b\) are positive constants. The product of the solutions to the given …

\[ y = g(x) - 5 \] The function \( g \) is defined by \( g(x) = 2(14x - 15) \). What is the y-coordinate of the y-intercept of the graph of…

Data set B is created by multiplying the y-value of each data point from data set A by 30. Which of the following equations is the most app…

The perimeter of an isosceles right triangle is \(94 + 94\sqrt{2}\) inches. What is the length, in inches, of the hypotenuse of this triang…

For the linear function \(f\), \(f(6) = 17\) and \(f(9) = 8\). Which equation defines \(f\)?

What is the slope of a line that is parallel to the graph of \(y = \dfrac{5}{2}x + 8\) in the \(xy\)-plane?

Rattlesnakes do not lay eggs but give birth to live young. For the last three years, a rattlesnake at a zoo gave birth to one litter per ye…

The length of a rectangle is 41 centimeters greater than its width. Which equation gives the area \(A\), in square centimeters, of the rect…

The measure of angle \(Z\) is \(15^\circ\). What is the measure, in radians, of angle \(Z\)?

A hotel has rooms with a balcony that cost \$100 per night to rent and rooms without a balcony that cost \$80 per night to rent. On a given…

In right triangle \( RST \), angle \( S \) is a right angle. The length of side \( \overline{RS} \) is \( 2\sqrt{130} \), the length of sid…

The functions \(f\), \(g\), and \(h\) are defined as \(f(x) = 4x + 5\), \(g(x) = 5x - 2\), and \(h(x) = 6x + 7\). If \(f(x) \cdot g(x) - h(…

\[x^{2} + y^{2} = 1{,}088 \\ y - 4x = 0\]A solution to the given system of equations is \((x, y)\), where \(x < 0\). What is the value of \…

Cylinder A and cylinder B are each right circular cylinders with a radius of 4 inches. The height of cylinder A is half the height of cylin…

A manager is responsible for ordering supplies for a coffee shop. The shop's inventory starts with 6,500 disposable cups, and the manager e…

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

At different times on a certain day, a manager at a theme park recorded the number of visitors. An exponential model gives the estimated nu…

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?

Data set A: 1, 4, 4, 7, 7, 7, 7, 7, 10, 10, 13 Data set B: 1, 1, 1, 4, 4, 7, 10, 10, 13, 13, 13 Data set A and data set B each have 11 valu…

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

The surface of Lake Erie is \(9{,}910\) square miles. On a certain day, ice covers \(41\%\) of the lake's surface. Approximately how many s…

The positive number \(a\) is 2,047% of the sum of the positive numbers \(b\) and \(c\), and \(b\) is 89% of \(c\). What percent of \(b\) is…

The Trans Bhutan Trail once served as a vital artery connecting fortresses, monasteries, and markets across the country of Bhutan. After a …

In the figure shown, line \(k\) intersects lines \(r\) and \(s\). If \(w = 158\), which additional piece of information is sufficient to pr…

A toy car is rolled along an elevated track. A quadratic equation models the car's height above the ground, in inches, seconds after it sta…

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

The triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the length of the third side. If a …

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?

Under drought conditions, Lanzhou lily plants produce smaller leaves, a common response to water scarcity that limits transpirational water…

Which choice completes the text with the most logical transition?

In triangle \( LMN \), the measure of angle \( L \) is \( 90^\circ \), \( MN = 105 \), and \( LM = 2 \). What is the value of \( \tan M \)?

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 completes the text with the most logical transition?

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

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

Which choice best states the main idea 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 and precise word or phrase?

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

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

At the beginning of the year, Imani has \$170 in her account. Each month this year, she will deposit between \$30 and \$60 into the account…

The student wants to say what strawberries and grapefruit juice have in common. Which choice best uses information from the notes to do thi…

For a certain type of rope, the equation \(y = 900ax^2\), where \(a\) is a constant, gives the estimated breaking strength \(y\), in pounds…

The given equation describes the relationship between the number of cats, \(c\), and the number of dogs, \(d\), that can be cared for at a …

The student wants to indicate the size of the Coachella Valley NWR. Which choice most effectively uses relevant information from the notes …

In triangle \(JKL\), the measure of angle \(J\) is \(90b^\circ\), the measure of angle \(K\) is \(66a^\circ\), and the measure of angle \(L…

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

A linear function \(f\) gives a company's profit, in dollars, for selling \(x\) items. The company's profit is \$190 when it sells 4 items,…

Which finding, if true, would most directly weaken the hypothesis presented in the text?

In the given equation, \(k\) is a positive constant. The product of the solutions to the equation is \(81\). What is the value of \(k\)?

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

The value of an autographed baseball increased by 178% from the end of 2012 to the end of 2013 and then decreased by 21% from the end of 20…

The function \(c\) gives the partial length, in centimeters (cm), of the circumference of a circle with a radius that measures \(r\) cm. Ac…

The function \(f\) is defined by \(f(x) = (x - 2)(x - 8)(x + 3)\). In the \(xy\)-plane, the graph of \(y = h(x)\) is the result of translat…

If \(3x - 9 - 4 = 8x - 9 + 4\), what is the value of \(x - 9\)?

For the triangles shown, triangle \(ABC\) is dilated by a scale factor of 5 to obtain triangle \(XYZ\), where \(d=19\). What is the measure…

Which quotation from Great Expectations most effectively illustrates the claim?

Which choice most logically completes the text?

Triangles \(XYZ\) and \(RST\) are congruent, where \(XY = 654\) and \(YZ = 654\). If \(RS = ST\), what is the length of segment \(RS\)?

A soccer team's goal is to earn at least \$1,320 by selling coupon books. The team earns \$12 from selling each coupon book. Which of the f…

Which choice completes the text with the most logical transition?

A computer program models the population of a certain insect in an environment where the insect has no natural predators. According to the …

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

A rectangle has a length of \(10\) centimeters and a width of \(6,000\) centimeters. What is the area, in square centimeters, of the rectan…

Which choice best describes the overall structure of the text?

The graphs of the equations in the given system intersect at the point \((x, y)\) in the \(xy\)-plane. What is a possible value of \(y\)?

Which choice most effectively uses data from the graph to support the researchers' conclusion?

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

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

Which choice most logically completes the text?

A circle in the \(xy\)-plane has its center at \((-5, 5)\). Line \(t\) is tangent to this circle at the point \((6, -1)\). Which of the fol…

Which choice most effectively uses data from the graph to complete the researcher's example?