SAT Practice Questions

The length, \(y\), of a white whale was \(162\) centimeters (cm) when it was born and increased an average of \(4.8\text{ cm}\) per month f…

\(f (x) = 14 + 4 x\) The function \(f\) represents the total cost, in dollars, of attending an arcade when \(x\) games are played. How many…

Josie purchased a pass that cost \(\$ 19.50\) to tour a nature preserve. She also purchased \(10\) identical stickers to give to her nieces…

For the linear function \(f\), the graph of \(y = f (x)\) in the xy -plane has a slope of \(2\) and has a y -intercept at \((0, - 5)\). Whi…

Argon is placed inside a container with a constant volume. The graph shows the estimated pressure \(y\), in pounds per square inch (psi), o…

The function \(h\) is defined by \(h (x) = 3 x - 7\). What is the value of \(h (- 2)\)?

Gabriella deposits \(\$ 35\) in a savings account at the end of each week. At the beginning of the \(1\text{st}\) week of a year there was …

For the linear function \(f\), \(f (0) = 17\) and \(f (1) = 17\). Which equation defines \(f\)?

Hana deposited a fixed amount into her bank account each month. The function \(f (t) = 100 + 25 t\) gives the amount, in dollars, in Hana's…

\(g (x) = 11 x + 4\) For the given linear function \(g\), which table shows three values of \(x\) and their corresponding values of \(g (x)…

The function \(f\) is defined by \(f (x) = 3 x - 8\). What is the value of \(f (7)\)?

The buildings of a shopping center are designed to allow water to drain from the roof into gutters on the sides of the buildings. The table…

The function \(f\) is defined by \(f (x) = \frac{7}{10} x + 55\). What is the value of \(f (20)\)?

The function \(g\) is defined by \(g (x) = 10 x + 8\). What is the value of \(g (x)\) when \(x = 8\)?

The function \(f\) is defined by \(f (x) = 9 (2 x + 3)\). For what value of \(x\) does \(f (x) = 63\)?

The function \(f\) is defined by \(f (x) = \frac{1}{2} (x + 6)\). What is the value of \(f (4)\)?

The function \(f\) is defined by \(f (x) = 5 x + 8\). For what value of \(x\) does \(f (x) = 58\)?

For the function \(f\), the graph of \(y = f (x)\) in the xy -plane has a slope of \(3\) and passes through the point \((0, - 8)\). Which e…

The function \(f\) defined by \(f (t) = 14 t + 9\) gives the estimated length, in inches, of a vine plant \(t\) months after Tavon purchase…

The line slants sharply up from left to right. The line passes through the following points: (0 comma negative 4) (1 comma 0) The graph of …

\(f (x) = 4 x + b\) For the linear function \(f\), \(b\) is a constant and \(f (7) = 28\). What is the value of \(b\)?

The function \(f\) is defined by \(f (x) = 4 x - 3\). What is the value of \(f (10)\)?

The function \(f\) is defined by the equation \(f (x) = 100 x + 2\). What is the value of \(f (x)\) when \(x = 9\)?

\(f (x) = x + \frac{8}{11}\) The function \(f\) is defined by the given equation. What is the value of \(f (x)\) when \(x = \frac{3}{11}\)?

The function \(g\) is defined by \(g (x) = 4 x - 6\). What is the value of \(g (- 7)\)?

For the linear function \(f\), the graph of \(y = f (x)\) in the xy -plane has a slope of \(7\) and passes through the point \((0, 5)\). Wh…

The function \(f\) is defined by \(f (x) = 8 x\). For what value of \(x\) does \(f (x) = 72\)?

The function \(f\) is defined by \(f (x) = 4 x\). For what value of \(x\) does \(f (x) = 8\)?

The function \(f\) is defined by \(f (x) = 4 x + k (x - 1)\), where \(k\) is a constant, and \(f (5) = 32\). What is the value of \(f (10)\…

Brian saves \(\frac{2}{5}\) of the \(\$ 215\) he earns each week from his job. If Brian continues to save at this rate, how much money, in …

The function \(f\) is defined by \(f (x) = 7 x - 84\). What is the x -intercept of the graph of \(y = f (x)\) in the xy -plane?

\(f (x) = 45 x + 600\) The function \(f\) gives the monthly fee \(f (x)\), in dollars, a facility charges to keep \(x\) crates in storage. …

A linear model estimates the population of a city from \(1991\) to \(2015\). The model estimates the population was \(57\) thousand in \(19…

The function \(f\) is defined by \(f (x) = \frac{x + 15}{5}\), and \(f (a) = 10\), where \(a\) is a constant. What is the value of \(a\)?

In the xy -plane, the graph of the linear function \(f\) contains the points \((0, 3)\) and \((7, 31)\). Which equation defines \(f\), wher…

The function \(h\) is defined by \(h (x) = 4 x + 28\). The graph of \(y = h (x)\) in the xy -plane has an x -intercept at \((a, 0)\) and a …

For the linear function \(g\), the graph of \(y = g (x)\) in the xy -plane has a slope of \(2\) and passes through the point \((1, 14)\). W…

The relationship between two variables, \(x\) and \(y\), is linear. For every increase in the value of \(x\) by \(1\), the value of \(y\) i…

For the linear function \(g\), the table shows four values of \(x\) and their corresponding values of \(g (x)\). The function can be writte…

The function \(f (x) = 55.20 - 0.16 x\) gives the estimated surface water temperature \(f (x)\), in degrees Celsius, of a body of water on …

The graph of the function \(f\), where \(y=f(x)\), gives the total cost \(y\), in dollars, for a certain video game system and \(x\) games.…

Scientists collected fallen acorns that each housed a colony of the ant species P. ohioensis and analyzed each colony's structure. For any …

In the linear function \(f\), \(f (0) = 8\) and \(f (1) = 12\). Which equation defines \(f\)?

\(f (x) = 39\) For the given linear function \(f\), which table gives three values of \(x\) and their corresponding values of \(f (x)\)?

Caleb used juice to make popsicles. The function \(f (x) = - 5 x + 30\) approximates the volume, in fluid ounces, of juice Caleb had remain…

The pressure exerted on a scuba diver at sea level is \(14.70\) pounds per square inch (psi). For each foot the scuba diver descends below …

In the xy -plane, the graph of the linear function \(f\) contains the points \((0, 2)\) and \((8, 34)\). Which equation defines \(f\), wher…

The table gives the number of hours, \(h\), of labor and a plumber’s total charge \(f (h)\), in dollars, for two different jobs. There is a…

\(f (x) = 2 x + 3\) For the given function \(f\), the graph of \(y = f (x)\) in the xy -plane is parallel to line \(j\). What is the slope …

For the linear function \(h\), the graph of \(y = h (x)\) in the xy -plane passes through the points \((7, 21)\) and \((9, 25)\). Which equ…

The graph of \(y = f (x) - 11\) is shown. The line slants sharply down from left to right. The line passes through the following points: (n…

A linear function \(f\) gives a company’s profit, in dollars, for selling \(x\) items. The company’s profit is \(\$ 220\) when it sells \(8…

If \(f (x) = x + 6\) and \(g (x) = 6 x\), what is the value of \(7 f (2) - g (2)\)?

The function \(f\) is defined by \(f (x) = - 9 x + 9\). What is the \(y\)-coordinate of the \(y\)-intercept of the graph of \(y = f (x)\) i…

In the linear function \(h\), \(h (28) = 15\) and \(h (26) = 22\). Which equation defines \(h\)?

\(h (x) = x + b\) For the linear function \(h\), \(b\) is a constant and \(h (0) = 45\). What is the value of \(b\)?

In the xy -plane, line \(k\) has a slope of \(5\) and a y -intercept of \((0, - 35)\). What is the x -coordinate of the x -intercept of lin…

\(j (x) = m x + 144\) For the linear function \(j\), \(m\) is a constant and \(j (12) = 18\). What is the value of \(j (10)\)?

The table shows the linear relationship between the number of cars, \(c\), on a commuter train and the maximum number of passengers and cre…

The function \(f\) is defined by \(f (x) = \frac{9}{7} x + \frac{8}{7}\). For what value of \(x\) does \(f (x) = 5\)?

The table gives the average time \(t\), in minutes, it takes Carly to travel a certain distance \(d\), in kilometers. Which equation could …

If \(f(x)=x+7\) and \(g(x)=7x\), what is the value of \(4f(2)-g(2)\)?

For the linear function \(g\), the table shows four values of \(x\) and their corresponding values of \(g (x)\). The function can be writte…

The line begins on the y axis above the x axis. The line slants sharply up from left to right. The graph represents the total charge, in do…

\(g (m) = - 0.05 m + 12.1\) The given function \(g\) models the number of gallons of gasoline that remains from a full gas tank in a car af…

\(w (t) = 300 - 4 t\) The function \(w\) models the volume of liquid, in milliliters, in a container \(t\) seconds after it begins draining…

\(f (x) = 2 x + 244\) The given function \(f\) represents the perimeter, in centimeters (cm), of a rectangle with a length of \(x\text{ cm}…

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

A model predicts that a certain animal weighed \(241\) pounds when it was born and that the animal gained \(3\) pounds per day in its first…

For a particular car, the linear function \(f\) gives the predicted power, in brake horsepower \((\text{bhp})\), for engine speeds between …

One gallon of paint will cover \(220\) square feet of a surface. A room has a total wall area of \(w\) square feet. Which equation represen…

\(F (x) = \frac{9}{5} (x - 273.15) + 32\) The function \(F\) gives the temperature, in degrees Fahrenheit, that corresponds to a temperatur…

The cost of renting a large canopy tent for up to \(10\) days is \(\$ 430\) for the first day and \(\$ 215\) for each additional day. Which…

For the linear function \(f\), the table shows three values of \(x\) and their corresponding values of \(f (x)\). Function \(f\) is defined…

The cost of renting a backhoe for up to \(10\) days is \(\$ 270\) for the first day and \(\$ 135\) for each additional day. Which of the fo…

For the function \(f\), \(f (c x) = x - 8\) for all values of \(x\), where \(c\) is a positive constant. If \(f (2) = 35\), what is the val…

The equation \(h = \frac{9 (v - 273.15)}{5} + 32\) gives the corresponding temperature \(h\), in degrees Fahrenheit, of any substance that …

The table shows two values of \(x\) and their corresponding values of \(y\). The graph of the linear equation representing this relationshi…

One gallon of stain will cover \(170\) square feet of a surface. A yard has a total fence area of \(w\) square feet. Which equation represe…

Kaylani used fabric measuring \(5\) yards in length to make each suit for a men's choir. The relationship between the number of suits that …

The function \(f (x)\) is defined as \(19\) more than \(4\) times a number \(x\). If \(y = f (x)\) is graphed in the \(x y\)-plane, what is…

The linear function \(g\) is defined by \(g (x) = b - 15 x\), where \(b\) is a constant. If \(g (c + 7) = \frac{c}{4}\), where \(c\) is a c…

The line slants sharply down from left to right. The line passes through the following points: (negative 1 comma 7) (0 comma 3) The graph o…

The cost of renting a carpet cleaner is \(\$ 52\) for the first day and \(\$ 26\) for each additional day. Which of the following functions…

The functions \(f\) and \(g\) are defined as \(f (x) = \frac{1}{4} x - 9\) and \(g (x) = \frac{3}{4} x + 21\). If the function \(h\) is def…

A window repair specialist charges \(\$ 220\) for the first two hours of repair plus an hourly fee for each additional hour. The total cost…

\(F (x) = \frac{9}{5} (x - 273.15) + 32\) The function \(F\) gives the temperature, in degrees Fahrenheit, that corresponds to a temperatur…

For the linear function \(f\), the table shows three values of \(x\) and their corresponding values of \(f (x)\). If \(h (x) = f (x) - 13\)…

For groups of \(25\) or more people, a museum charges \(\$ 21\) per person for the first \(25\) people and \(\$ 14\) for each additional pe…

The boundary of the inequality is a solid line. The line is horizontal. The line passes through the following points: (negative 15 comma 36…

During spring migration, a dragonfly traveled a minimum of \(1,510\) miles and a maximum of \(4,130\) miles between stopover locations. Whi…

A geologist needs to collect at least \(67\) samples of lava from a volcano. If the geologist has already collected \(63\) samples from the…

For a \(3\)-week period in a town in Illinois, the lowest recorded temperature was \(31\) degrees Fahrenheit \((^{\circ} F)\) and the highe…

For a literature class, a student's essay needs to have no more than \(5,000\) words. If a student's essay already has \(3,026\) words, wha…

During a portion of a flight, a small airplane's cruising speed varied between \(150\) miles per hour and \(170\) miles per hour. Which ine…

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

A geologist estimates that the volume of a slab of granite is greater than \(12.7\) cubic feet but less than \(15.7\) cubic feet. The geolo…

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

The point \((8, 2)\) in the xy -plane is a solution to which of the following systems of inequalities?

Leo goes to a packing store to buy containers and tape. Leo has \(\$ 15\). Each container costs \(\$ 1.87\) and each roll of tape costs \(\…