SAT Practice Questions

Which expression is equivalent to \((x^{3}+4x^{2}-3x)+5(x^{2}+8)\)?

The function \(f\) is defined by \(f(x)=x^{3}+14\). What is the value of \(f(2)\)?

The function \(g\) is defined by \(g(x)=\frac{x}{2}\). For what value of \(x\) does \(g(x)=624\)?

The scatterplot shows the relationship between two variables, \(x\) and \(y\). Which of the following equations is the most appropriate lin…

The function \(f(x)=\frac{1}{9}(x-4)^{2}+5\) gives a toy car's height above the ground \(f(x)\), in inches, \(x\) seconds after it started …

\(7x-5y=-70\) For the given equation, which table gives three values of \(x\) and their corresponding values of \(y\)?

A chemist combines water and isopropanol to make a mixture with a volume of \(45\) milliliters (mL). The volume of isopropanol in the mixtu…

\(y=-\frac{1}{7}x\) \(y=\frac{1}{11}x\) The solution to the given system of equations is \((x,y)\). What is the value of \(x\)?

A company has a customer loyalty program. In January 2018, there were 1,600 customers enrolled in the loyalty program. For the next 24 mont…

The function \(f(t)=10{,}000(2)^{\frac{t}{850}}\) gives the number of bacteria in a population \(t\) minutes after an initial observation. …

\(y=\frac{5}{7}x+9\) One of two equations in a system of linear equations is given. The system has infinitely many solutions. What is the s…

If \(x-4=0\), what is the value of \(x^{2}-3x\)?

Raheem bought 9 shirts that were each the same price. He used a coupon for \$54 off the entire purchase. The cost for the entire purchase a…

In right triangle ABC, angles A and B are acute, side AC has a length of 21.2, and \(\tan B=\frac{1}{6}\). What is the length of side BC, r…

\(f(x)=(x-4)^{2}+11\) What is the minimum value of the given function?

Point F lies on a unit circle in the \(xy\)-plane and has coordinates \((1,0)\). Point G is the center of the circle and has coordinates \(…

\(f(x)=8x+b\) For the linear function \(f\), \(b\) is a constant and \(f(0)=11\). What is the value of \(b\)?

Data set A: 5, 8, 11, 11, 14, 20 Data set B: 5, 8, 11, 11, 14, 20, 41 Two data sets are shown. Which statement best compares the medians of…

To estimate the proportion of a population that has a certain characteristic, a random sample was selected from the population. Based on th…

The shaded region shown represents solutions to an inequality. Which ordered pair \((x,y)\) is a solution to this inequality?

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

The graph gives the estimated population \(y\), in thousands, of a town \(x\) years since 2007, where \(0 \le x \le 5\). Which of the follo…

\(T(x)=62-8x\) The function \(T\) estimates the temperature, in degrees Fahrenheit (\(^\circ F\)), in a certain city one day in January, wh…

In the triangle shown, what is the value of \(x\)?

There is a proportional relationship between \(p\) and \(t\). If \(p=2,340\) when \(t=3,120\), then what is the value of \(p\) when \(t=2,4…

A cube has a volume of 79,507 cubic units. What is the surface area, in square units, of the cube?

\(\frac{8(cx+3)}{5}=4x-3\) In the given equation, \(c\) is a constant. If the equation has no solution, what is the value of \(c\)?

The function \(f(x)\) is defined as 17 more than 3 times a number \(x\). If \(y=f(x)\) is graphed in the \(xy\)-plane, what is the best int…

\(\frac{2}{c}-\frac{7}{d}=5\) The given equation relates the variables \(c\) and \(d\), where \(c\) and \(d\) are greater than 1. Which equ…

A proposal for a construction project was included on a city election ballot. A TV news report stated that 8 times as many people voted in …

The function \(f\) is defined by \(f(x)=4x^{2}\). What is the value of \(f(11)\)?

\(\sqrt[5]{p^{2}}=t^{\frac{3}{4}}\) In the given equation, \(p>1\) and \(t>1\). If \(t=p^{2n-1}\), where \(n\) is a constant, what is the v…

The equation \(4|x-3|=k\), where \(k\) is a constant, has exactly one solution. Which of the following could be the value of \(\frac{k}{4}\…

\(-4x^{2}+bx-25=0\) In the given equation, \(b\) is a positive integer. The equation has no real solution. What is the largest possible val…

The function \(f\) is defined by \(f(x)=a(3.1^{x}+3.1^{b})\) where \(a\) and \(b\) are integer constants and \(0 I. \(g(x)=a(3.1^{x}+k)\) I…

The cost of renting a piece of construction equipment for up to 5 days is \$230 for the first day and \$115 for each additional day. Which …

The mass of object A is 498% of the mass of object B, and the mass of object A is 0.830% of the mass of object C. If the mass of object C i…

For triangle PQR and triangle STU, angles P and S each measure \(30^\circ\). \(QR=16\) and \(TU=12\). Which additional piece(s) of informat…

What is the solution \((x, y)\) to the given system of equations?

What are all possible solutions to the given equation?

The function \(f\) is defined by \(f(x) = 135x - 20\). What is the value of \(f(x)\) when \(x = 4\)?

In the figure shown, line \(m\) is parallel to line \(n\), and line \(k\) intersects both lines. Which of the following statements is true?

The function \(f\) is defined by \(f(x) = -5x^2 - 7\). What is the value of \(f(-1)\)?

In the given system of equations, \(a\) is a positive integer constant. The system has no real solutions. What is the least possible value …

The expression \((6x^2)(3x^3)\) is equivalent to \(bx^5\), where \(b\) is a constant. What is the value of \(b\)?

A teacher is creating an assignment worth \(28\) points. The assignment will consist of questions worth \(1\) point and questions worth \(2…

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

Triangle \(XYZ\) shown is a right triangle. Which of the following has the same value as \(\sin X\)?

Sam opened a savings account at a bank. The table shows the exponential relationship between the time \(t\), in years, since Sam opened the…

If \(6(8 - 2z) + 3 = 5(8 - 2z) + 19\), what is the value of \(8 - 2z\)?

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

In the given system of equations, \(a\) is a constant. The graphs of the equations in the given system intersect at exactly one point, \((x…

Line \(p\) in the \(xy\)-plane is defined by \(y = x + \frac{1}{3}\) and passes through the points \((a, 0)\) and \((0, b)\), where \(a\) a…

The function \(f(t) = 80,000(2)^{\frac{t}{700}}\) gives the number of bacteria in a population \(t\) minutes after an initial observation. …

Square \(P\) has a side length of \(x\) inches. Square \(Q\) has a perimeter that is \(32\) inches greater than the perimeter of square \(P…

How many solutions does the given system of equations have?

Circle \(A\) has a radius of \(r\) and circle \(B\) has a radius of \(47r\). The area of circle \(B\) is how many times the area of circle …

The function \(g\) is defined by \(g(x) = (x + 17)(t - x)\), where \(t\) is a constant. In the \(xy\)-plane, the graph of \(y = g(x)\) pass…

A circle in the \(xy\)-plane has a diameter with endpoints \((a, 11)\) and \((a, d)\), where \(a\) and \(d\) are constants. An equation of …

In the figure, line \(n\) intersects lines \(r\) and \(s\). Line \(r\) is parallel to line \(s\). What is the value of \(x\)?

During a portion of a flight, a small airplane's cruising speed varied between \(125\) miles per hour and \(135\) miles per hour. Which ine…

If \(65x=52\), what is the value of \(40x\)?

Which expression is equivalent to \((x^{3}+4x^{2}-3x)+5(x^{2}+8)\)?

The function \(f\) is defined by \(f(x)=x^{3}+14\). What is the value of \(f(2)\)?

The function \(g\) is defined by \(g(x)=\frac{x}{2}\). For what value of \(x\) does \(g(x)=624\)?

The scatterplot shows the relationship between two variables, \(x\) and \(y\). Which of the following equations is the most appropriate lin…

The function \(f(x)=\frac{1}{9}(x-4)^{2}+5\) gives a toy car's height above the ground \(f(x)\), in inches, \(x\) seconds after it started …

For the given equation \(7x-5y=-70\), which table gives three values of \(x\) and their corresponding values of \(y\)?

A chemist combines water and isopropanol to make a mixture with a volume of \(45\) milliliters (mL). The volume of isopropanol in the mixtu…

The solution to the given system of equations \(y=-\frac{1}{7}x\) and \(y=\frac{1}{11}x\) is \((x,y)\). What is the value of \(x\)?

A company has a customer loyalty program. In January 2018, there were 1,600 customers enrolled in the loyalty program. For the next 24 mont…

The function \(f(t)=10{,}000(2)^{\frac{t}{850}}\) gives the number of bacteria in a population \(t\) minutes after an initial observation. …

\(y=\frac{5}{7}x+9\). One of two equations in a system of linear equations is given. The system has infinitely many solutions. What is the …

If \(x^2 - 3x - 4 = 0\), what is the value of \(x^{2}-3x\)?

Raheem bought 9 shirts that were each the same price. He used a coupon for \$54 off the entire purchase. The cost for the entire purchase a…

In right triangle \(ABC\), angles \(A\) and \(B\) are acute, side \(AC\) has a length of \(21.2\), and \(\tan B=\frac{1}{6}\). What is the …

\(f(x)=(x-4)^{2}+11\). What is the minimum value of the given function?

Point \(F\) lies on a unit circle in the xy-plane and has coordinates \((1,0)\). Point \(G\) is the center of the circle and has coordinate…

\(f(x)=8x+b\). For the linear function \(f\), \(b\) is a constant and \(f(0)=11\). What is the value of \(b\)?

Data set A: 5, 8, 11, 11, 14, 20 Data set B: 5, 8, 11, 11, 14, 20, 41 Two data sets are shown. Which statement best compares the medians of…

To estimate the proportion of a population that has a certain characteristic, a random sample was selected from the population. Based on th…

The shaded region shown represents solutions to an inequality. Which ordered pair \((x, y)\) is a solution to this inequality?

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

The graph gives the estimated population \(y\), in thousands, of a town \(x\) years since 2007, where \(0\le x\le5\). Which of the followin…

The function \(T(x)=62-8x\) estimates the temperature, in degrees Fahrenheit (F), in a certain city one day in January, where \(x\) is the …

In the triangle shown, what is the value of \(x\)?

There is a proportional relationship between \(p\) and \(t\). If \(p=2,340\) when \(t=3,120\), then what is the value of \(p\) when \(t=2,4…

A cube has a volume of \(79,507\) cubic units. What is the surface area, in square units, of the cube?

In the given equation \(\frac{8(cx+3)}{5}=4x-3\), \(c\) is a constant. If the equation has no solution, what is the value of \(c\)?

The function \(f(x)\) is defined as 17 more than 3 times a number \(x\). If \(y=f(x)\) is graphed in the xy-plane, what is the best interpr…

The given equation \(\frac{2}{c}-\frac{7}{d}=5\) relates the variables \(c\) and \(d\), where \(c\) and \(d\) are greater than 1. Which equ…

A proposal for a construction project was included on a city election ballot. A TV news report stated that 8 times as many people voted in …

The function \(f\) is defined by \(f(x)=4x^{2}\). What is the value of \(f(11)\)?

In the given equation \(\sqrt[5]{p^{2}}=t^{\frac{3}{4}}\), \(p>1\) and \(t>1\). If \(t=p^{2n-1}\), where \(n\) is a constant, what is the v…

The equation \(4|x-3|=k\), where \(k\) is a constant, has exactly one solution. Which of the following could be the value of \(\frac{k}{4}\…

In the given equation \(-4x^{2}+bx-25=0\), \(b\) is a positive integer. The equation has no real solution. What is the largest possible val…

The function \(f\) is defined by \(f(x)=a(3.1^{x}+3.1^{b})\), where \(a\) and \(b\) are integer constants and \(0 I. \(g(x)=a(3.1^{x}+k)\) …

The cost of renting a piece of construction equipment for up to 5 days is \$230 for the first day and \$115 for each additional day. Which …

The mass of object A is 498% of the mass of object B, and the mass of object A is 0.830% of the mass of object C. If the mass of object C i…

For triangle \(PQR\) and triangle \(STU\), angles \(P\) and \(S\) each measure \(30^\circ\), \(QR=16\) and \(TU=12\). Which additional piec…