SAT Practice Questions

A machine makes large boxes or small boxes, one at a time, for a total of \(700\) minutes each day. It takes the machine \(10\) minutes to …

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

\(8 x + 11 y = 170\) The equation gives the possible combinations of the number of \(2009\) premium grade Log Cabin Pennies, \(x\), and the…

The equation \(46 = 2 a + 2 b\) gives the relationship between the side lengths \(a\) and \(b\) of a certain parallelogram. If \(a = 9\), w…

Line \(p\) is defined by \(2 y + 18 x = 9\). Line \(r\) is perpendicular to line \(p\) in the xy -plane. What is the slope of line \(r\)?

The line slants down from left to right. The line passes through the following points: (0 comma 40) (60 comma 0) The graph shows the relati…

Figure A and figure B are both regular polygons. The sum of the perimeter of figure A and the perimeter of figure B is \(63\) inches. The e…

Line \(k\) is defined by \(y = 7 x + \frac{1}{8}\). Line \(j\) is perpendicular to line \(k\) in the xy -plane. What is the slope of line \…

\(2 x + y = 37\) In triangle \(Q R S\), sides \(Q R\) and \(R S\) each have a length of \(x\) centimeters and side \(S Q\) has a length of …

The table shows three values of \(x\) and their corresponding values of \(y\), where \(n\) is a constant, for the linear relationship betwe…

In the xy -plane, line \(s\) passes through the point \((0, 0)\) and is parallel to the line represented by the equation \(y = 18 x + 2\). …

The equation \(7 g + 7 b = 840\) represents the number of blue tiles, \(b\), and the number of green tiles, \(g\), an artist needs for an \…

\(2.5 b + 5 r = 80\) The given equation describes the relationship between the number of birds, \(b\), and the number of reptiles, \(r\), t…

A store sells two different-sized containers of blueberries. The store’s sales of these blueberries totaled \(896.86\) dollars last month. …

A total of \(2\) squares each have side length \(r\). A total of \(6\) equilateral triangles each have side length \(t\). None of these squ…

A chemist combines water and acetic acid to make a mixture with a volume of \(56\text{ milliliters }(\text{mL})\). The volume of acetic aci…

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

A line passes through the points \((4, 6)\) and \((15, 24)\) in the xy -plane. What is the slope of the line?

The line slants gradually down from left to right. The line passes through the following points: (8 comma 10) (9 comma 9) The graph in the …

Line \(r\) is defined by the equation \(4 x - 9 y = 3\). Line \(s\) is parallel to line \(r\) in the xy -plane. What is the slope of line \…

In the xy -plane, line \(t\) passes through the points \((0, 9)\) and \((1, 17)\). Which equation defines line \(t\)?

Line \(k\) is defined by \(y = - \frac{17}{3} x + 5\). Line \(j\) is perpendicular to line \(k\) in the xy -plane. What is the slope of lin…

Lily made \(36\) cups of jam. Lily then filled \(x\) small containers and \(y\) large containers with all the jam she made. The equation \(…

A certain township consists of a \(5\)-hectare industrial park and a \(24\)-hectare neighborhood. The total number of trees in the township…

What is the slope of the graph of \(y = \frac{1}{4} (27 x + 15) + 7 x\) in the xy -plane?

What is the slope of the graph of \(10 x - 5 y = - 12\) in the xy -plane?

At a state fair, attendees can win tokens that are worth a different number of points depending on the shape. One attendee won \(S\) square…

A neighborhood consists of a \(2\)-hectare park and a \(35\)-hectare residential area. The total number of trees in the neighborhood is \(3…

Line \(k\) is defined by \(y = \frac{17}{7} x + 4\). Line \(j\) is parallel to line \(k\) in the xy -plane. What is the slope of line \(j\)?

What is the slope of the graph of \(y = \frac{1}{3} (29 x + 10) + 5 x\) in the xy -plane?

A batch of banana milkshakes consists of \(4\) cups of ice cream and \(2\) bananas and has \(1,114\text{ milligrams }(\text{mg})\) of calci…

The table shows three values of \(x\) and their corresponding values of \(y\). Which equation represents the linear relationship between \(…

The line slants gradually down from left to right. The line passes through the following points: (negative 8 comma 0) (0 comma negative 8) …

\(24.5 x + 24.75 y = 641\) Isabel ordered topsoil and crushed stone, which cost a total of \(\$ 641\), for her garden. The given equation r…

In the xy -plane, line \(k\) passes through the points \((0, - 5)\) and \((1, - 1)\). Which equation defines line \(k\)?

If the graph of \(27 x + 33 y = 297\) is shifted down \(5\) units in the xy -plane, what is the y -intercept of the resulting graph?

The line slants gradually down from left to right. The line passes through the following points: (0 comma 35) (90 comma 0) The graph models…

Line \(t\) in the xy -plane has a slope of \(- \frac{1}{3}\) and passes through the point \((9, 10)\). Which equation defines line \(t\)?

A line in the xy -plane has a slope of \(9\) and passes through the point \((0, - 5)\). The equation \(y = p x + r\) defines the line, wher…

What is the slope of the graph of \(y = \frac{5 x}{13} - 23\) in the xy -plane?

When line \(n\) is graphed in the xy -plane, it has an x -intercept of \((- 4, 0)\) and a y -intercept of \((0, \frac{86}{3})\). What is th…

The line slants gradually down from left to right. The line passes through the following points: (negative 8 comma 4) (0 comma 2) (8 comma …

The table shows two values of \(x\) and their corresponding values of \(y\). In the xy -plane, the graph of the linear equation representin…

The line slants gradually down from left to right. The line passes through the following points: (negative 6 comma 0) (0 comma negative 5) …

Line \(\ell\) is defined by \(3 y + 12 x = 5\). Line \(n\) is perpendicular to line \(\ell\) in the xy -plane. What is the slope of line \(…

The line slants sharply down from left to right. The line passes through the following points: (0 comma 6) (1 comma 3) The graph shows a li…

The line slants gradually down from left to right. The line passes through the following points: (0 comma 7) (8 comma 0) The point with coo…

In the xy -plane, line \(p\) has a slope of \(- \frac{5}{3}\) and an x -intercept of \((- 6, 0)\). What is the y -coordinate of the y -inte…

In the xy -plane, line \(\ell\) passes through the point \((0, 0)\) and is parallel to the line represented by the equation \(y = 8 x + 2\)…

\(5 x + 7 y = 1\) \(a x + b y = 1\) In the given pair of equations, \(a\) and \(b\) are constants. The graph of this pair of equations in t…

\(5 G + 45 R = 380\) At a school fair, students can win colored tokens that are worth a different number of points depending on the color. …

Keenan made \(32\) cups of vegetable broth. Keenan then filled \(x\) small jars and \(y\) large jars with all the vegetable broth he made. …

The graph of \(7 x + 2 y = - 31\) in the \(x y\)-plane has an \(x\)-intercept at \((a, 0)\) and a \(y\)-intercept at \((0, b)\), where \(a\…

The line slants gradually down from left to right. The line passes through the following approximate points: (0 comma 136) (158 comma 0) A …

The table gives the coordinates of two points on a line in the xy -plane. The y -intercept of the line is \((k - 5, b)\), where \(k\) and \…

What is the y -coordinate of the y -intercept of the graph of \(\frac{3 x}{7} = - \frac{5 y}{9} + 21\) in the xy -plane?

\(\frac{3}{5} x + \frac{3}{4} y = 7\) Which table gives three values of \(x\) and their corresponding values of \(y\) for the given equatio…

Line \(h\) is defined by \(\frac{1}{5} x + \frac{1}{7} y - 70 = 0\). Line \(j\) is perpendicular to line \(h\) in the xy -plane. What is th…

Line \(p\) is defined by \(4 y + 8 x = 6\). Line \(r\) is perpendicular to line \(p\) in the xy -plane. What is the slope of line \(r\)?

A certain apprentice has enrolled in \(85\) hours of training courses. The equation \(10 x + 15 y = 85\) represents this situation, where \…

For line \(h\), the table shows three values of \(x\) and their corresponding values of \(y\). Line \(k\) is the result of translating line…

The table shows three values of \(x\) and their corresponding values of \(y\), where \(s\) is a constant. There is a linear relationship be…

The graph of \(9 x - 10 y = 19\) is translated down \(4\) units in the xy -plane. What is the x -coordinate of the x -intercept of the resu…

A veterinarian recommends that each day a certain rabbit should eat \(25\) calories per pound of the rabbit’s weight, plus an additional \(…

The function \(h\) is defined by \(h (x) = x + 200\). What is the value of \(h (50)\)?

For the linear function \(f\), the table shows three values of \(x\) and their corresponding values of \(f (x)\). Which equation defines \(…

The line slants gradually up from left to right. The line passes through the following points: (0 comma 20) (5 comma 30) (10 comma 40) A ba…

For the linear function \(f\), the graph of \(y = f (x)\) in the xy -plane has a slope of \(39\) and passes through the point \((0, 0)\). W…

A bus is traveling at a constant speed along a straight portion of road. The equation \(d = 30 t\) gives the distance \(d\), in feet from a…

The function \(g\) is defined by \(g (x) = 6 x\). For what value of \(x\) is \(g (x) = 54\)?

The line slants sharply down from left to right. The line passes through the following points: (0 comma 8) (StartFraction 11 Over 2 EndFrac…

The function \(f\) is defined by \(f (x) = \frac{1}{10} x - 2\). What is the y -intercept of the graph of \(y = f (x)\) in the xy -plane?

The cost \(y\), in dollars, for a manufacturer to make \(x\) rings is represented by the line shown. The line slants gradually up from left…

For the linear function \(f\), the graph of \(y = f (x)\) in the xy -plane has a slope of \(\frac{1}{4}\) and passes through the point \((0…

Hydrogen is placed inside a container and kept at a constant pressure. The graph shows the estimated volume \(y\), in liters, of the hydrog…

The total cost \(f (x)\), in dollars, to lease a car for \(36\) months from a particular car dealership is given by \(f (x) = 36 x + 1,000\…

To repair a refrigerator, a technician charges \(\$ 60\) per hour for labor plus \(\$ 120\) for parts. Which function f represents the tota…

In science class, Diego conducted an experiment to learn about evaporation. Diego measured the height of fluid in a beaker over a period of…

For a training program, Juan rides his bike at an average rate of \(5.7\) minutes per mile. Which function \(m\) models the number of minut…

\(s = 40 + 3 t\) The equation gives the speed \(s\), in miles per hour, of a certain car \(t\) seconds after it began to accelerate. What i…

In the linear function \(h\), \(h (0) = 41\) and \(h (1) = 40\). Which equation defines \(h\)?

The graph shown models the number of candy bars a certain machine wraps with a label in \(x\) seconds. The line slants sharply up from left…

The function \(f\) is defined by \(f (x) = - 3 x + 60\). What is the value of \(f (x)\) when \(x = - 8\)?

As part of a science project on evaporation, Amaya measured the height of a liquid in a container over a period of time. The function \(f (…

Oxygen gas is placed inside a tank with a constant volume. The graph shows the estimated temperature \(y\), in kelvins, of the oxygen gas w…

\(f (x) = x + b\) For the linear function \(f\), \(b\) is a constant. When \(x = 0\), \(f (x) = 30\). What is the value of \(b\)?

The number \(y\) is \(84\) less than the number \(x\). Which equation represents the relationship between \(x\) and \(y\)?

\(f (x) = 8 x + 4\) The function \(f\) gives the estimated height, in feet, of a willow tree \(x\) years after its height was first measure…

The line slants gradually up from left to right. The line passes through the following points: (negative 5 comma 0) (0 comma 2) The graph o…

The function \(f\) is defined by \(f (x) = 80 - 6 x\). What is the value of \(f (7)\)?

If \(y = 5 x + 10\), what is the value of \(y\) when \(x = 8\)?

Sean rents a tent at a cost of \(\$ 11\) per day plus a onetime insurance fee of \(\$ 10\). Which equation represents the total cost \(c\),…

The function \(f\) is defined by the equation \(f (x) = 7 x + 2\). What is the value of \(f (x)\) when \(x = 4\)?

\(d = 16 - \frac{x}{30}\) The equation shown gives the estimated amount of diesel \(d\), in gallons, that remains in the gas tank of a truc…

\(d = 16 t\) The given equation represents the distance \(d\), in inches, where \(t\) represents the number of seconds since an object star…

The line slants gradually up from left to right. The line passes through the following points: (negative 12 comma 0) (negative 4 comma 2) T…

A student council group is selling school posters for a fundraiser. They use the function \(p (x) = 5 x - 220\) to determine their profit \…

A contract for a certain service requires a onetime activation cost of \(\$ 35\) and a monthly cost of \(\$ 23\). Which equation represents…

The function \(f\) is defined by \(f (x) = 25 x + 30\). What is the value of \(f (x)\) when \(x = 2\)?

\(f (x) = 7 x + 1\) The function gives the total number of people on a company retreat with \(x\) managers. What is the total number of peo…