Question 1
Which expression is equivalent to \(x^3 + 8x^2 + 9x + 72\)? A. \((x+9)(x^2+8)\) B. \((x+8)(x^2+9)\) C. \((x+1)(x^2+72)\) D. \((x+72)(x^2+1)\)
SAT-2026-October-Asia-FormA-Math(module1)
SAT October 2026 Asia Form A — Math Module 1.
22 questions · Free online practice
Open the interactive worksheetQuestion 2
What is the mean of the data set shown? \(26, 26, 27, 28, 31, 34, 38\) A. 26 B. 28 C. 30 D. 38
Question 3
If \(2(x-10) = (2)(90)\), what is the value of \(x-10\)? A. 180 B. 90 C. 18 D. 9
Question 4
A store sells two different-sized bottles of a certain shampoo. The store's sales of this shampoo totaled 914.16 dollars last month. The equation \(4.59x + 6.08y = 914.16\) represents this situation, where \(x\) is the number of smaller bottles sold and \(y\) is the number of larger bottles sold. According to the equation, what is the price, in dollars, of each smaller bottle?
Question 5
Triangle \( ABC \) is similar to triangle \( XYZ \), where \( A, B, \) and \( C \) correspond to \( X, Y, \) and \( Z, \) respectively. In triangle \( ABC, \) the length of \( \overline{AB} \) is 150 and the length of \( \overline{BC} \) is 750. In triangle \( XYZ, \) the length of \( \overline{YZ} \) is 60. What is the length of \( \overline{XY} \)? A. 180 B. 162 C. 60 D. 12
Question 6
In the given system of equations, \( c \) is a positive constant. Which of the following could be the point where the graphs of the equations in this system intersect in the \( xy \)-plane? \[ 50x + 49y = c \] \[ 49x - 50y = c \] A. \( \left(10, -\frac{10}{99}\right) \) B. \( (10, 990) \) C. \( \left(c, \frac{c}{99}\right) \) D. \( (c, 0) \)
Question 7
Which expression is a factor of \( 64p^{17} - 121p^{15} \)? A. -57p^{36} B. 11p - 8 C. 64p^2 + 121 D. 8p + 11
Question 8
The given equation represents a parabola in the \( xy \)-plane. Which of the following equations that represent the same parabola displays the \( x \)-intercepts as constants or coefficients? \[ y = 9x^2 - 54x + 45 \] A. y = 9(x - 1)(x - 5) B. y = 9(x - 3)^2 - 36 C. y = 9x(x - 6) + 45 D. y = 9(x^2 - 6x) + 45
Question 9
How many distinct real solutions does the given equation have? \[ x^2 = -25 \] A. Exactly one B. Exactly two C. Infinitely many D. Zero
Question 10
For the linear function \( h \), \( h(0) = 0 \) and \( h(7) = 6 \). Which equation defines \( h \)? A. h(x) = \frac{6}{7}x B. h(x) = \frac{6}{7}x + 6 C. h(x) = \frac{7}{6}x D. h(x) = \frac{7}{6}x + 7
Question 11
For the linear function \( h \), \( h(0) = 0 \) and \( h(11) = 7 \). Which equation defines \( h \)? A. h(x) = \frac{11}{7}x B. h(x) = \frac{11}{7}x + 11 C. h(x) = \frac{7}{11}x D. h(x) = \frac{7}{11}x + 7
Question 12
A rectangle has a width of \( n \) yards and a length of \( (n + 3) \) yards. If the rectangle has an area of 154 square yards, what is the value of \( n \)?
Question 13
If \( \frac{j}{k} = 34 \) and \( \frac{56j}{28zk} = 34 \), what is the value of \( z \)? A. 1 B. \frac{1}{2} C. 17 D. 56
Question 14
The solution to the given system of equations is \((x, y)\). What is the value of \(x + y\)? \[ 8x - 7y = 3 \] \[ 4x + y = 9 \]
Question 15
In the given system of equations, \( t \) is a constant. If the system has no solution, what is the value of \( t \)? \[ 4x + 12y = 10t + 2 \] \[ y = \frac{1}{4} + 2x \]
Question 16
In the given system of equations, \( t \) is a constant. If the system has no solution, what is the value of \( t \)? \[ 22x - 18y = 28y + 11 \] \[ y = \frac{1}{3} + 11x \]
Question 17
What is the sum of the solutions to the given equation? \[ 6|x + 3| - 9 = 21 \]
Question 18
In the equations, \( a, b, \) and \( c \) are given in terms of \( x \). Which of the following expressions is equivalent to \( a - b + c \)? \[ a = x(x + 92) \] \[ b = x(x + 46) \] \[ c = x(x - 46) \] A. 92 - x^2 B. x^2 + 92x C. x^2 - 92 D. x^2
Question 19
The measure of angle \( G \) is \( \frac{\pi}{10} \) radians. If the measure of angle \( G \) is \( 3n \) degrees, where \( n \) is a constant, what is the value of \( n \)? A. 3 B. 6 C. 10 D. 18
Question 20
In the xy-plane, circle \( F \) is defined by the equation \( (x + 9)^2 + (y + 9)^2 = 16 \). Circle \( G \) has the same center as circle \( F \), and the radius of circle \( G \) is 3 units greater than the radius of circle \( F \). Circle \( G \) is defined by the equation \( (x + 9)^2 + (y + 9)^2 = p \), where \( p \) is a constant. What is the value of \( p \)?
Question 21
Which point \((x, y)\) is a solution to the given system of inequalities in the \(xy\)-plane? \[ y \geq x + 15 \] \[ y \leq -5x - 15 \] A. (-4, 8) B. (-4, 11) C. (-6, 8) D. (-6, 11)
Question 22
In the given system of equations, \(c\) is a positive constant. Which of the following could be the point where the graphs of the equations in this system intersect in the \(xy\)-plane? \[ 32x + 31y = c \] \[ 31x - 32y = c \] A. \((c, 0)\) B. \((c, \frac{c}{63})\) C. \((10, 630)\) D. \((10, -\frac{10}{63})\)