SAT Practice Questions

Browse free SAT practice questions across Reading, Writing, and Math. Each one opens a study page with the full prompt and worked solution.

2025 December INT - C

Math•Q14
\(4x^2-5x-5=0\) What is the greatest solution to the given equation?
Math•Q15
For a linear relationship between \(x\) and \(y\), the table gives three values of \(x\) and their corresponding values of \(y\), where \(t…
Math•Q16
The center of the circle is the origin. The following points are on the circle: \((2, k)\) and \((8, 0)\). What is the value of \(k\)?
Math•Q17
For two acute angles \(X\) and \(Y\), the measure of angle \(Y\) is \(24^\circ\) and \(\frac{\sin X}{\cos Y}=1\). What is the measure, in d…
Math•Q18
\(0.1197\) is \(0.09\%\) of the number \(b\). The number \(b\) is \(25\%\) of the number \(c\). What is the value of \(c\)?
Math•Q19
A right rectangular prism has a height of \(24\) inches. The length of the prism's base is \(x\) inches, which is \(10\) inches more than t…
Math•Q1
Darrel has a blanket with an area of \(110\) square inches (\(\text{in}^2\)). Darrel plans to enlarge the blanket by sewing on pieces of fa…
Math•Q2
The graph of the equation \(y=5(x+n)^2\), where \(n\) is an integer constant, is shown. What is the value of \(n\)?
Math•Q3
The solution to the given system of equations is \((x,y)\). What is the value of \(x+y\)? \(y=4x\) \(5x-3y=-14\)
Math•Q4
If \(2(5x)=6\), what is the value of \(5x\)?
Math•Q5
If \(\sqrt{x-5}=8\), what is the value of \((x-5)\)?
Math•Q6
The function \(h\) is defined by \(h(x)=7x-14\). The graph of \(y=h(x)\) in the \(xy\)-plane has an \(x\)-intercept at \((a,0)\) and a \(y\…
Math•Q7
The function \(f(t)=40,000(2)^{\frac{t}{410}}\) gives the number of bacteria in a population \(t\) minutes after an initial observation. Ho…
Math•Q8
Which expression is equivalent to \(\frac{3x(x-8)-9(x-8)}{2x-16}\), where \(x>8\)?
Math•Q9
The given equation defines the function \(f(x)=2x^2-17x+33\). For what value of \(x\) does \(f(x)\) reach its minimum?
Math•Q10
Triangle \(TUV\) is dilated by a scale factor of \(k\) to obtain triangle \(T'U'V'\), where \(T\) corresponds to \(T'\) and \(U\) correspon…
Math•Q11
Line \(p\) is defined by \(2y=8x-11\). Line \(r\) is perpendicular to line \(p\) in the \(xy\)-plane. What is the slope of line \(r\)?
Math•Q12
\(0.10x+0.20y=0.17(x+y)\) The equation gives a volume, in gallons, of a \(10\%\) saltwater solution that could be mixed with a volume \(y\)…
Math•Q13
A figure has an area of \(3,168\) square inches. What is the area, in square feet, of this figure? (1 foot = 12 inches)
Math•Q14
At a hotel, guests used the pool for a total of \(f\) hours in March. At the same hotel, guests used the pool for \(3.49f\) hours in April.…
Math•Q15
The function \(g\) is defined by \(g(x)=\frac{x^2-x-a}{x^2-x-b}\), where \(a\) and \(b\) are constants. In the \(xy\)-plane, the graph of \…
Math•Q16
A right circular cone has a volume of \(4,800\pi\) cubic centimeters and the area of its base is \(1,600\pi\) square centimeters. What is t…
Math•Q17
\(\frac{1}{4xy}+xyz=\frac{1}{3yz}\) In the given equation, \(x\), \(y\), and \(z\) are positive numbers. Which expression is equivalent to …
Math•Q18
The function \(g\) is defined by \(g(x)=15x+22\). For what value of \(x\) does \(g(x)=252\)?
Math•Q19
\(x^2+y^2-10x-8y-14n=0\) The given equation represents circle A in the \(xy\)-plane, where \(n\) is a constant. Point \((11,8)\) lies on ci…
Math•Q20
\(38(x-n)=38y+38n\) One of the equations in a system of two linear equations is given, where \(n\) is a positive constant. The system has n…
Math•Q21
\(qx=2x-55\) In the given equation, \(q\) is an integer constant. The given equation has no real solutions. What is the largest possible va…

2025 December INT - D