SAT Practice Questions

The graph of a system of a linear and a quadratic equation is shown. What system is represented by the graph?

\(W(x)=4x+80\) The function \(W\) gives the total time, in minutes, it takes for a gardener to water \(x\) plants and mow the grass. Accord…

The solution to the given system of equations is \((x,y)\). What is the value of \(x\)? \[19=x+y \\ x-y=9\]

\(x^{2}-16x+y^{2}-10y-55=0\) In the \(xy\)-plane, the graph of the given equation is a circle. If this circle is inscribed in a square, wha…

If \(5(3x+6)=3(3x+6)+78\), what is the value of \(3x+6\)?

If \(f(x)=x+5\) and \(g(x)=5x\), what is the value of \(7f(4)-g(4)\)?

\(C(t)=240(\frac{53}{52})^{t-15}+7\) The function \(C\) gives the estimated number of cephalopods in a certain area, where \(t\) is the num…

An object moves at a speed of \(\frac{3}{17}\) feet per second. What is this speed in yards per second? (\(1\text{ yard} = 3\text{ feet}\))

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

The current value of a house is \(174{,}000\) dollars, and this value increases by \(2.4\%\) each year from the value of the previous year.…

What is the value of \(\sin(18\pi)\)?

In triangle \(QRS\) shown, \(QR < RS\). Which expression represents the length of \(\overline{QS}\)?

\(\frac{1}{9}x-\frac{3r}{7}y=34\) One of the equations in a system of two linear equations is given, where \(r\) is a nonzero constant. The…

A machine makes 8-inch, 9-inch, and 3-inch parts. During a certain day, the number of 8-inch parts that the machine makes is 4 times the nu…

The shaded region shown in the graph represents all the solutions to which inequality?

\(3.5c+7d=266\) The given equation describes the relationship between the number of cats, \(c\), and the number of dogs, \(d\), that can be…

\(y=3^{(x-1)}-6\) For which of the following tables are all the values of \(x\) and their corresponding values of \(y\) solutions to the gi…

Based on the survey, it is estimated that 66% of all registered voters in the county are in favor of a new law, with an associated margin o…

The gas mileage of a certain car is 35 miles per gallon when driven on the highway. If the car begins with 10 gallons of gas in the tank, w…

The function \(f\) is defined by \(f(x)=50x\). For what value of \(x\) is \(f(x)=150\)?

\(10x+By=50\) The graph of the linear equation is shown, where \(B\) is a constant. What is the value of \(B\)?

Which of the following equations is the most appropriate linear model for the data shown?

\(4x^{2}+5x-5=0\) What is the greatest solution to the given equation?

Which point \((x,y)\) is a solution to the given system of inequalities in the \(xy\)-plane? \[y \le x+15 \\ y \ge -4x-15\]

Based on the frequency table, what could be the median of the recorded daily low temperatures, in degrees Fahrenheit?

An equilateral triangle has a height of \(47\sqrt{3}\) units. What is the length, in units, of one side of this triangle?

Line \(s\) in the \(xy\)-plane is defined by \(8x+2y=0\). Line \(t\) is perpendicular to line \(s\) and passes through the points \((6,0)\)…

For all positive values of \(x\) and \(y\), the given expression is equivalent to which of the following? \[\frac{\sqrt[3]{x^{17}y^{5}}}{5x…

\(f(x)=2,000(1.005)^{3x}\) The given function \(f\) models the balance of a bank account, in dollars, \(x\) years after it is opened. Which…

The length of each edge of a box is 48 centimeters. Each side of the box is in the shape of a square. The box does not have a lid. What is …

A square map has a side length of 55 inches, and 1 inch on the map represents an actual distance of 13 miles. A larger version of the same …

\[\frac{4}{9}(4x+9)(x+\sqrt{4k+9})(x-\sqrt{4k+9})=0\] In the given equation, \(k\) is a positive constant. The product of the solutions to …

Which expression is equivalent to \(10(x+3)\)?

In isosceles triangle \(ABC\), sides \(AB\) and \(AC\) are congruent. Point \(D\) divides side \(BC\) such that the length of \(\overline{B…

The area of a rectangular region is increasing at a rate of 270 square feet per hour. Which of the following is closest to this rate in squ…

\(x(kx-112)=-16\) In the given equation, \(k\) is a positive constant. If the equation has exactly one real solution, what is the value of …

The table shows selected values from the function \(f\). Which of the following is the best description of function \(f\)?

The function \(f\) is defined by \(f(x) = -3x + 40\). What is the value of \(f(x)\) when \(x = -6\)?

What is the positive solution to the given equation?

Which of the following statements best compares the median of data set A and the median of data set B?

The function \(f\) is defined by \(f(x) = x^{3} + 27\). What is the value of \(f(2)\)?

In the \(xy\)-plane, the graph of the equation \(y = 9^{x}\) is translated \(8\) units down. What is an equation of the resulting graph?

A solution to the given system of equations is \((x, y)\). What is the value of \(x^{2}\)?

What is the best interpretation of \(f(2) = 190\) in this context?

Which of the following is the best interpretation of \(y\) in this context?

A chemist mixed \(x\) liters of a 2% saline solution with \(y\) liters of a 5% saline solution to produce a 3% saline solution. Which equat…

In the right triangle shown, \(c\) is a constant. The value of \(\sin x^{\circ} = \frac{k}{c}\) where \(k\) is a constant. What is the valu…

What is the frequency of data value 2 in this data set?

What is the length of \(\overline{XY}\)?

What is the radius of the circle in the \(xy\)-plane defined by \((x+4)^{2} + (y+8)^{2} = 169\)?

A piece of string with a length of \(96\) inches is cut into two parts. One part has a length of \(x\) inches, and the other part has a len…

The area of a triangle is \(270\) square centimeters. The length of the base of the triangle is \(12\) centimeters greater than the height …

What is the least number of whole hours that the employee must work in a week to earn at least \$1,610?

The graph of a system of a linear equation and a quadratic equation is shown. A solution to the system is \((x, y)\). What is a possible va…

How many solutions does the equation have?

The solution to the given system of equations is \((x, y) = (\frac{p}{59}, \frac{w}{826})\), where \(p\) and \(w\) are integers. What is th…

What is the \(x\)-coordinate of the \(x\)-intercept of the graph that represents this linear relationship in the \(xy\)-plane?

What is the length of \(\overline{LQ}\)?

If \(44 = 6 + 2(x - 3)\), what is the value of \(2(x - 3)\)?

Which expression is equivalent to \( (x^{2} + 11)^{2} + (x - 8)(x + 8) \)?

The graph of the polynomial function \(f\) in the \(xy\)-plane passes through the point \((9, 7)\). What is the value of \(f(9)\)?

What is the \(y\)-intercept of the graph of \(y = 12(5)^{x+2}\) in the \(xy\)-plane?

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

Which equation represents the linear relationship between \(c\) and \(p\)?

The function \(h\) is defined by \(h(x) = 2(9x - 10)\). What is the value of \(h(10)\)?

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

What is one of the solutions to the given equation?

If q is the standard deviation of data set X and s is the standard deviation of data set Y, which of the following statements is true?

The ratio \(5\) to \(x\) is equivalent to the ratio \(y\) to \(8\). Which equation represents \(x\) in terms of \(y\)?

Which function gives the number of points awarded for a correct answer \(x\) seconds from the time the question is asked, where \(x\) is a …

Which equation represents this situation?

What is the value of \(a\)?

What is the length, in units, of the other leg of this triangle?

Which additional piece of information is sufficient to prove that triangle ABC is congruent to triangle DEF?

If \(c\) and \(d\) are positive constants, which equation could define \(f\)?

What is the probability of selecting a neuron with a cell body diameter that is less than or equal to 30 micrometers, given that it is not …

In the given equation, \(k\) is a constant. The equation has exactly one real solution. What is the value of \(4k\)?

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

In the given equation, \(k\) is an integer constant. If the equation has two distinct real solutions, what is the greatest possible value o…

If the mass of object C is \(p\%\) of the mass of object B, what is the value of \(p/1,000\)?

If \(6x=60\), what is the value of \(7x+3\)?

The function \(j\) is defined by \(j(x)=\frac{x}{8}\). What is the value of \(j(48)\)?

The function \(k\) gives the estimated number of students in a school organization \(x\) years after the organization was established, wher…

The function \(t(x)=-3x+74\) gives the estimated temperature, in degrees Fahrenheit, of a town \(x\) hours after 6 p.m., where \(0 \le x \l…

Which of the following best describes the function \(f\)?

Which expression is equivalent to \(10x^{2}+130\)?

An event planner is planning an ice-skating event. It costs the event planner a onetime fee of \$30 to rent the skating rink and \$10.25 pe…

The function \(f\) is defined by \(f(x)=4\sqrt{x}\). For what value of \(x\) does \(f(x)=28\)?

Triangle PQR is similar to triangle STU, where P, Q, and R correspond to S, T, and U, respectively. In triangle PQR, the length of \(PQ\) i…

The graph of a system of a linear and a quadratic equation is shown. What system is represented by the graph?

The function \(f\) is defined by \(f(x)=4^{(x-2)}+8\). What is the value of \(f(2)\)?

If the graph of \(12x+22y=132\) is shifted down 4 units in the xy-plane, what is the y-intercept of the resulting graph?

The table shows three values of \(x\) and their corresponding values of \(j(x)\) for exponential function \(j\). When the graph of \(y=j(x)…

A landscaping company mixes oil with gasoline to power its tools. A chainsaw requires 8 ounces of oil per gallon of gasoline. A lawnmower r…

What is the value of \(\cos B\) in the right triangle shown?

Rectangles ABCD and EFGH are similar. The length of each side of rectangle EFGH is 7 times the length of the corresponding side of rectangl…

18 is 10% of what number?

The function \(h\) estimates an object's height, in feet, above the ground \(t\) seconds after the object is dropped, where \(b\) is a cons…

The measure of angle S is \(\frac{8\pi}{13}\) radians. The measure of angle T is 3 times the measure of angle S. Which expression represent…

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