SAT Practice Questions

A cleaning service that cleans both offices and homes can clean at most \(14\) places per day. Which inequality represents this situation, …

Julissa needs at least \(100\) hours of flight time to get her private pilot certification. If Julissa already has \(86\) hours of flight t…

Ty set a goal to walk at least \(24\) kilometers every day to prepare for a multiday hike. On a certain day, Ty plans to walk at an average…

On a car trip, Rhett and Jessica each drove for part of the trip, and the total distance they drove was under \(220\) miles. Rhett drove at…

\(2 \ell + 2 w \le 27\) A rectangle has length \(\ell\) and width \(w\). The inequality gives the possible values of \(\ell\) and \(w\) for…

For a party, \(50\) dinner rolls are needed. Dinner rolls are sold in packages of \(12\). What is the minimum number of packages that shoul…

Monarch butterflies can fly only with a body temperature of at least \(55.0^{\circ}\text{ Fahrenheit }(^{\circ} F)\). If a monarch butterfl…

The total cost, in dollars, to rent a surfboard consists of a \(\$ 25\) service fee and a \(\$ 10\) per hour rental fee. A person rents a s…

An event planner is planning a party. It costs the event planner a onetime fee of \(\$ 35\) to rent the venue and \(\$ 10.25\) per attendee…

A moving truck can tow a trailer if the combined weight of the trailer and the boxes it contains is no more than \(4,600\) pounds. What is …

\(y > 14\) \(4 x + y The point \((x, 53)\) is a solution to the system of inequalities in the xy -plane. Which of the following could be th…

A city employee will plant two types of bushes, azaleas and boxwoods, in a park. There will be no more than \(164\) total bushes planted, a…

\(y > 7 x - 4\) For which of the following tables are all the values of \(x\) and their corresponding values of \(y\) solutions to the give…

For a snowstorm in a certain town, the minimum rate of snowfall recorded was \(0.6\) inches per hour, and the maximum rate of snowfall reco…

\(2 x - y > 883\) For which of the following tables are all the values of \(x\) and their corresponding values of \(y\) solutions to the gi…

An event planner is planning a party. It costs the event planner a onetime fee of \(\$ 35\) to rent the venue and \(\$ 10.25\) per attendee…

\(y Which point (\(x\), \(y\)) is a solution to the given inequality in the \(xy\)-plane?

The boundary of the inequality is a dashed line. The line slants sharply down from left to right. The line passes through the following poi…

The boundary of the inequality is a dashed line. The line slants sharply down from left to right. The line passes through the following poi…

The boundary of the inequality is a solid line. The line slants sharply up from left to right. The line passes through the following points…

\(y \(x For which of the following tables are all the values of \(x\) and their corresponding values of \(y\) solutions to the given system…

The minimum value of \(x\) is \(12\) less than \(6\) times another number \(n\). Which inequality shows the possible values of \(x\)?

A number \(x\) is at most \(17\) less than \(5\) times the value of \(y\). If the value of \(y\) is \(3\), what is the greatest possible va…

\(y > 4 x + 8\) For which of the following tables are all the values of \(x\) and their corresponding values of \(y\) solutions to the give…

A truck can haul a maximum weight of \(5,630\) pounds. During one trip, the truck will be used to haul a \(190\)-pound piece of equipment a…

The length of a rectangle is \(50\) inches and the width is \(x\) inches. The perimeter is at most \(210\) inches. Which inequality represe…

A model estimates that whales from the genus Eschrichtius travel \(72\) to \(77\) miles in the ocean each day during their migration. Based…

A particular botanist classifies a species of plant as tall if its typical height when fully grown is more than \(100\) centimeters. Each o…

A business owner plans to purchase the same model of chair for each of the \(81\) employees. The total budget to spend on these chairs is \…

A salesperson’s total earnings consist of a base salary of \(x\) dollars per year, plus commission earnings of \(11 \%\) of the total sales…

\(y For which of the following tables are all the values of \(x\) and their corresponding values of \(y\) solutions to the given inequality?

The boundary of the inequality is a dashed line. The line is horizontal. The line passes through the following points: (negative 3 comma ne…

A number \(x\) is at most \(2\) less than \(3\) times the value of \(y\). If the value of \(y\) is \(- 4\), what is the greatest possible v…

\(11 x + 14 y \le 115\) Anthony will spend at most \(\$ 115\) to purchase \(x\) small cheese pizzas and \(y\) large cheese pizzas for a tea…

A team hosting an event to raise money for new uniforms plans to sell at least \(140\) tickets before this event and at least \(220\) ticke…

\(y \le x + 7\) \(y \ge - 2 x - 1\) Which point \((x, y)\) is a solution to the given system of inequalities in the xy -plane?

A small business owner budgets \(\$ 2,200\) to purchase candles. The owner must purchase a minimum of \(200\) candles to maintain the disco…

\(y For which of the following tables are all the values of \(x\) and their corresponding values of \(y\) solutions to the given inequality?

In a set of four consecutive odd integers, where the integers are ordered from least to greatest, the first integer is represented by \(x\)…

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 …

\(y > 13 x - 18\) For which of the following tables are all the values of \(x\) and their corresponding values of \(y\) solutions to the gi…

Triangles \(E F G\) and \(J K L\) are congruent, where \(E\), \(F\), and \(G\) correspond to \(J\), \(K\), and \(L\), respectively. The mea…

Line t passes through points upper A and upper C. The measure of angle upper A upper C upper B is x°. The measure of angle upper C upper A …

In triangle \(A B C\), \(A B = 4,680\) millimeters (mm) and \(B C = 4,680\text{ mm}\). Which statement is sufficient to prove that triangle…

In \(\triangle XYZ\), the measure of \(\angle X\) is \(24^{\circ}\) and the measure of \(\angle Y\) is \(98^{\circ}\). What is the measure …

Clockwise from top left, the 3 lines are labeled t, j, and k. Line t intersects both line j and line k. At the intersection of line t and l…

The 2 triangles are oriented such that upper A corresponds to upper X, upper B corresponds to upper Y, and upper C corresponds to upper Z. …

At the intersection of the 2 lines, the angles are labeled clockwise from top as follows: Top: w° Right: unlabeled Bottom: z° Left: unlabel…

Clockwise from top left, the 3 lines are labeled, c, s, and t. Line c intersects both line s and line t. At the intersection of line c and …

Clockwise from top left, the 3 lines are labeled l, m, and n. Line l intersects both line m and line n. At the intersection of line l and l…

In \(\triangle XYZ\), the measure of \(\angle X\) is \(23^{\circ}\) and the measure of \(\angle Y\) is \(66^{\circ}\). What is the measure …

Clockwise from top left, the 3 lines are labeled t, p, and q. Line t intersects both line p and line q. At the intersection of line t and l…

Clockwise from top left, the 3 lines are labeled script l, j, and k. Line script l intersects both line j and line k. At the intersection o…

Clockwise from top left, the lines are labeled t, m, and n. Line t intersects both line m and line n. At the intersection of line t and lin…

Triangles \(A B C\) and \(D E F\) are congruent, where \(A\) corresponds to \(D\), and \(B\) and \(E\) are right angles. The measure of ang…

The measure of angle upper P is 24°. The measure of angle upper Q is 132°. The measure of angle upper R is x°. In the triangle shown, \(P Q…

Clockwise from top left, the 3 lines are labeled n, r, and s. Line n intersects both line r and line s. At the intersection of line n and l…

In \(\triangle RST\), the measure of \(\angle R\) is \(63^{\circ}\). Which of the following could be the measure, in degrees, of \(\angle S…

In a right triangle, the measure of one of the acute angles is \(51^{\circ}\). What is the measure, in degrees, of the other acute angle?

Clockwise from top left, the 3 lines are labeled t, m, and n. Line t intersects both line m and line n. At the intersection of line t and l…

Clockwise from top left, the 3 lines are labeled t, m, and n. Line t intersects both line m and line n. At the intersection of line t and l…

In triangle \(A B C\), the measure of angle \(B\) is \(52^{\circ}\) and the measure of angle \(C\) is \(17^{\circ}\). What is the measure o…

Right triangle upper P upper Q upper R is labeled as follows: Angle upper R is a right angle. Right triangle upper S upper T upper U is lab…

At the intersection of the 2 lines, the angles are labeled clockwise from left as follows: Left: 1 Top: unlabeled Right: 2 Bottom: unlabele…

One angle is a right angle. The measures of the other 2 angles are as follows: a° 13° In the right triangle shown, what is the value of \(a…

Clockwise from top left, the 3 lines are labeled k, m, and n. Line k intersects both line m and line n. At the intersection of line k and l…

Triangles \(A B C\) and \(D E F\) are congruent, where \(A\) corresponds to \(D\), and \(B\) and \(E\) are right angles. The measure of ang…

Clockwise from top left, the 3 lines are labeled s, q, and r. Line s intersects both line q and line r. At the intersection of line s and l…

In triangle \(D E F\), the measure of angle \(D\) is \(47^{\circ}\) and the measure of angle \(E\) is \(97^{\circ}\). In triangle \(R S T\)…

Quadrilateral \(P ' Q ' R ' S '\) is similar to quadrilateral \(P Q R S\), where \(P\), \(Q\), \(R\), and \(S\) correspond to \(P '\), \(Q …

Two nearby trees are perpendicular to the ground, which is flat. One of these trees is \(10\) feet tall and has a shadow that is \(5\) feet…

Right triangles \(L M N\) and \(P Q R\) are similar, where \(L\) and \(M\) correspond to \(P\) and \(Q\), respectively. Angle \(M\) has a m…

In triangle \(J K L\), the measures of \(\angle K\) and \(\angle L\) are each \(48^{\circ}\). What is the measure of \(\angle J\), in degre…

Line segment upper Q upper R is extended to point upper S. In triangle \(P Q R\), \(\overline{QR}\) is extended to point \(S\). The measure…

Clockwise from top left, the 3 lines are labeled m, r, and s. Line m intersects both line r and line s. At the intersection of line m and l…

Triangles \(A B C\) and \(D E F\) are congruent, where \(A\) corresponds to \(D\), and \(B\) and \(E\) are right angles. The measure of ang…

The 2 triangles share common vertex upper R. Common vertex upper R lies on line segment upper P upper T. Triangle upper Q upper P upper R i…

Triangle \(A B C\) is similar to triangle \(X Y Z\), such that \(A\), \(B\), and \(C\) correspond to \(X\), \(Y\), and \(Z\) respectively. …

Line segment upper B upper D is drawn from side upper C upper A to side upper C upper E to form triangle upper C upper B upper D. Angle upp…

Clockwise from top left, the 3 lines are labeled t, m, and n. Line t intersects both line m and line n. At the intersection of line t and l…

In triangle \(A B C\), the measure of angle \(A\) is \(54^{\circ}\), the measure of angle \(B\) is \(90^{\circ}\), and the measure of angle…

Each side of equilateral triangle S is multiplied by a scale factor of \(k\) to create equilateral triangle T. The length of each side of t…

Triangle \(A B C\) is similar to triangle \(X Y Z\), where \(A\), \(B\), and \(C\) correspond to \(X\), \(Y\), and \(Z\), respectively. In …

The 2 triangles intersect at vertex upper Q. The measure of angle upper X upper W upper Q is a°. The measure of angle upper Z upper Y upper…

In triangles \(A B C\) and \(D E F\), angles \(B\) and \(E\) each have measure \(27^{\circ}\) and angles \(C\) and \(F\) each have measure …

From left to right, horizontal line segment upper P upper V includes the following points: Upper P Upper Q Upper R Upper S Upper T Upper V …

Counterclockwise from top right, the lines are labeled s, r, q, and t. Line s intersects line r above line q. Line s and line r each inters…

In triangle \(A B C\), the measure of angle \(B\) is \(90^{\circ}\) and \(\overline{BD}\) is an altitude of the triangle. The length of \(\…

In triangle \(R S T\), angle \(T\) is a right angle, point \(L\) lies on \(\overline{RS}\), point \(K\) lies on \(\overline{ST}\), and \(\o…

Triangle upper A upper C upper D partially overlaps triangle upper E upper B upper D. Point upper C is on line segment upper B upper D. Poi…

Triangle upper W upper X upper Q has a common vertex with triangle upper Y upper Z upper Q. The common vertex is upper Q. For triangle uppe…

Triangle upper L upper M upper R has a common vertex with triangle upper P upper Q upper R. The common vertex is upper R. In the figure, \(…

A line intersects two parallel lines, forming four acute angles and four obtuse angles. The measure of one of the acute angles is \((9 x - …

Angle upper D upper E upper A is a right angle. Point upper B lies on side upper A upper D. Point upper C lies on side upper A upper E. Lin…

Triangle upper R upper T upper U is labeled as follows: The measure of angle upper R upper T upper U is x°. The 2 triangles partially overl…

In right triangle \(A B C\), angle \(C\) is the right angle and \(B C = 162\). Point \(D\) on side \(A B\) is connected by a line segment w…

A line intersects two parallel lines, forming four acute angles and four obtuse angles. The measure of one of these eight angles is \((7 x …

Two lines intersect at exactly one point, forming two acute angles and two obtuse angles. The measure of one of these angles is \((9 x - 14…

Triangle \(X Y Z\) is similar to triangle \(R S T\) such that \(X\), \(Y\), and \(Z\) correspond to \(R\), \(S\), and \(T\), respectively. …

Quadrilaterals \(P Q R S\) and \(W X Y Z\) are similar, where \(P\), \(Q\), and \(R\) correspond to \(W\), \(X\), and \(Y\), respectively. …