SAT October 2026 Asia Form A — Math Module 2.
22 questions · Free online practice
Open the interactive worksheetQuestion 1
The roofs on the buildings of a public garden are designed to allow water to drain into the garden. The table shows the relationship between the area \(x\), in square feet, of a roof and the amount of water \(f(x)\), in gallons, drained from the roof into the garden over a certain period of time. Which equation could define \(f\)? A. \(f(x) = 0.6x\) B. \(f(x) = 1.8x\) C. \(f(x) = 450x\) D. \(f(x) = 900x\)
Question 2
For the linear function \(r\), the table shows three values of \(x\) and their corresponding values of \(r(x)\). Function \(r\) is defined by \(r(x)=ax+b\), where \(a\) and \(b\) are constants. What is the value of \(a+b\)? \(x\) \(r(x)\) \(-61\) \(-9\) \(-31\) \(0\) \(-1\) \(9\)
Question 3
The solution to the given system of equations is \((x, y)\). What is the value of \(-14x + 20y\)? \[ \begin{align*} 7x - 16y &= -14 \\ 7x - 4y &= -5 \end{align*} \] A. 19 B. 9 C. -9 D. -19
Question 4
An organization sells tickets to a fundraiser for \$50 per person. The organization's expenses are \$600 for a rental space and \$18 per person for food. The organization's goal is to earn at least \$2,300 after paying all expenses. What is the minimum number of tickets that must be sold to meet this goal? A. 46 B. 58 C. 72 D. 91
Question 5
For two acute angles \(X\) and \(Y\), the measure of angle \(Y\) is \(47^\circ\) and \(\frac{\sin X}{\cos Y} = 1\). What is the measure, in degrees, of angle \(X\)? A. 92 B. 47 C. 45 D. 43
Question 6
If \(x = \sqrt[2n]{7x^n + 30}\), where \(n\) is a positive integer constant, what is the value of \(x^n\)?
Question 7
How many solutions does the given equation have? \[ 6(x - 1) = 6(-11 + 11x) \] A. Zero B. Exactly one C. Exactly two D. Infinitely many
Question 8
A right square pyramid has a height of 9 inches and a volume of 363 cubic inches. What is the perimeter, in inches, of the base of this pyramid?
Question 9
A right square prism has a height of 23 units. The volume of the prism is 3,312 cubic units. What is the length, in units, of an edge of the base?
Question 10
A ball is launched into the air from the top of a building with a height of 50 feet. According to a quadratic model, 3 seconds after the ball is launched, it reaches its maximum height of 194 feet above ground level. Which equation represents this model, where \( h(t) \) is the ball’s predicted height, in feet, above ground level \( t \) seconds after it was launched? A. \( h(t) = 16t^2 + 50 \) B. \( h(t) = -16t^2 + 194 \) C. \( h(t) = -16t^2 + 96t + 50 \) D. \( h(t) = 16t^2 - 96t + 194 \)
Question 11
Which equation has no solution? A. 50x + 25 = 5(10x + 5) B. 50x + 35 = -50x - 35 C. 50x + 250 = 5(10x + 20) D. 50x + 5 = 10x + 5
Question 12
Which equation has no solution? A. 6x + 2 = 2(3x + 1) B. 6x + 20 = 2(3x + 4) C. 6x + 1 = 3x + 1 D. 6x + 3 = -6x - 3
Question 13
The function \(B(t) = 500(2)\left(\frac{3}{2}\right)^t\) gives the estimated number of bacteria in a population \(t\) hours after an initial observation. According to the function, the estimated number of bacteria in the population doubles every \(n\) minutes. What is the value of \(n\)?
Question 14
The cost of renting a piece of equipment is \(74n\) for the first day and \(37n\) for each additional day, where \(n\) is a positive integer. Which of the following functions gives the cost \(C(x)\), in dollars, of renting this equipment for \(x\) days, where \(x\) is a positive integer? A. C(x) = 37nx + 37n B. C(x) = 37nx + 74n C. C(x) = 74nx + 37n D. C(x) = 74nx - 37n
Question 15
In the given equation, \( a \) is a constant. The sum of the solutions to the equation is \( \frac{43}{3} \). What is the value of \( a \)?
Question 16
In the given system of equations, \( m \) and \( b \) are negative constants. In the xy-plane, the graphs of the equations in the given system intersect at the point \((-5, y)\), where \( y A. 10m - 2\sqrt{39} B. -10m + 2\sqrt{39} C. \frac{5m}{2} - \frac{\sqrt{39}}{2} D. -\frac{5m}{2} + \frac{\sqrt{39}}{2}
Question 17
The function \( f \) is defined by the given equation. If \( f(a) = -6a \), where \( a \) is a constant, what is the value of \( a \)? A. -\frac{1}{3} B. -1 C. -\frac{1}{12} D. \frac{1}{3}
Question 18
In the given equation, \( r \) is a constant. The equation has no solution. What is the value of \( r \)? A. 24 B. 7 C. 6 D. 3
Question 19
A ball is launched into the air from the top of a building with a height of 30 feet. According to a quadratic model, 2 seconds after the ball is launched, it reaches its maximum height of 94 feet above ground level. Which equation represents this model, where \( h(t) \) is the ball's predicted height, in feet, above ground level \( t \) seconds after it was launched? A. h(t) = 16t^2 + 30 B. h(t) = -16t^2 + 64t + 30 C. h(t) = -16t^2 + 94 D. h(t) = 16t^2 - 64t + 94
Question 20
The expression \( 7(8x + 17)(x - 4) - (6x + 13) \) can be written in the form \( ax^2 + bx + c \), where \( a, b, \) and \( c \) are constants. What is the value of \( b \)?
Question 21
The function \( g(x) = \frac{1}{3}(2x)(47) \) gives the volume, in cubic units, for a right square pyramid that has a base area of 47 square units and a height of \( 2x \) units. If the height of the pyramid increases by 1 unit, by how many cubic units will the volume increase?
Question 22
In the given system of equations, \( m \) and \( b \) are negative constants. In the \( xy \)-plane, the graphs of the equations in the given system intersect at the point \((-7, y)\), where \( y A. -\frac{7m}{3} + \frac{\sqrt{15}}{3} B. \frac{7m}{3} - \frac{\sqrt{15}}{3} C. -21m + 3\sqrt{15} D. 21m - 3\sqrt{15}