Question 1
Which expression is equivalent to \(24x^2 + 24\)? A. \(24\(x^2 + \frac{1}{24}\)\) B. \(24(24x^2 + 1)\) C. \(24(x^2 + 24)\) D. \(24(x^2 + 1)\)
SAT-2026-October-NA-FormB-Math(module2)
SAT, October 2026 North America Form B, Math module 2.
22 questions · Free online practice
Open the interactive worksheetQuestion 2
What is the value of \( \tan Q \) in the triangle shown? A. \( \frac{21}{20} \) B. \( \frac{21}{29} \) C. \( \frac{20}{21} \) D. \( \frac{20}{29} \)
Question 3
For a project, Kayla recorded the heights of 17 people in her neighborhood. The histogram summarizes the heights, in inches (in), of these 17 people. The first bar represents people with a height of at least 51 in but less than 53 in. The second bar represents people with a height of at least 53 in but less than 55 in, and so on. How many had a height of at least 51 in but less than 55 in?
Question 4
The graph shown models the number of dumplings a certain machine makes in \(x\) minutes. According to the graph, what is the estimated number of dumplings the machine makes per minute? A. \(4\) B. \(60\) C. \(236\) D. \(240\)
Question 5
How many distinct real solutions does the given equation have? \( x^2 = -289 \) A. Exactly one B. Exactly two C. Infinitely many D. Zero
Question 6
Which table gives four values of \(x\) and their corresponding values of \(f(x)\) for the given exponential function? \[ f(x) = 16(2)^{\frac{x}{3}} \] A. x -3 0 3 6 f(x) 8 0 32 64 B. x -3 0 3 6 f(x) 8 16 32 64 C. x -3 0 3 6 f(x) -8 16 32 64 D. x -3 0 3 6 f(x) 8 16 32 48
Question 7
A botanist recorded the volume, in quarts, of cherries that grew on a semidwarf cherry tree during each growing season after the tree’s transplantation. The scatterplot shows this volume, in quarts, for each of 8 growing seasons after the tree’s transplantation. Which of the following is closest to the total volume, in quarts, of cherries that grew on the tree over these 8 growing seasons? A. \(36\) B. \(40\) C. \(163\) D. \(232\)
Question 8
What is the solution to the given equation? \[ \frac{1}{8}(3 - 4x) = -7 \]
Question 9
For which of the following tables are all the values of \(x\) and their corresponding values of \(y\) solutions to the given inequality? \[ y A. x 2 4 6 y 31 91 95 B. x 2 4 6 y 31 63 95 C. x 2 4 6 y 45 77 109 D. x 2 4 6 y 59 91 123
Question 10
A batch of smoothies consists of 6 cups of milk and 3 bananas and has 1,680 milligrams (mg) of calcium. There is 276 mg of calcium in 1 cup of milk. How much calcium, in mg, is in 1 banana? A. \(1,656\) B. \(468\) C. \(24\) D. \(8\)
Question 11
A circle in the xy -plane has a diameter with endpoints (3, 6) and (15, 16). Which equation represents this circle? A. \((x + 9)^2 + (y + 11)^2 = 244\) B. \((x - 9)^2 + (y - 11)^2 = 244\) C. \((x + 9)^2 + (y + 11)^2 = 61\) D. \((x - 9)^2 + (y - 11)^2 = 61\)
Question 12
\( y = 3x \) \( y = x^2 - 40 \) A solution to the given system is \((x, y)\), where \(x > 0\). What is the value of \(x\)?
Question 13
An organization sells tickets to a fundraiser for \$50 per person. Its expenses are \$600 for a rental space and \$17 per person for food. The goal is to earn at least \$2,600 after paying all expenses. What is the minimum number of tickets that must be sold? A. \(52\) B. \(64\) C. \(79\) D. \(97\)
Question 14
The equation \( b = \frac{-11.3(t - 120.0)}{10.0} + 101,287 \) gives the estimated barometric pressure \( b \), in pascals, in Orlando, Florida, \( t \) minutes after 12 p.m. on a certain day, where \( t \leq 240 \). According to this equation, how many minutes after 12 p.m. is the estimated barometric pressure 101,263.27 pascals?
Question 15
In the given system of equations, \(k\) and \(t\) are constants. The solution to this system is \((x, y)\). What is the value of \(10(y + t)\)? \[ (x + k) + \frac{5}{2}(y + t) + 16 = 0 \] \[ (x + k) - \frac{5}{2}(y + t) - 16 = 0 \] A. \(32\) B. \(5\) C. \(0\) D. \(-64\)
Question 16
In the figure, lines \(m\) and \(n\) are parallel and line \(t\) intersects both lines. If \(a\) = 5\(x\) + 68 and \(b\) = \( \frac{1}{2}x + 41.6 \), what is the value of \(x\)?
Question 17
A customer purchases a new car from a car dealership. On the date of purchase, the dealership estimates the value of the car is \$29,000. Each year after the car is purchased, the dealership estimates that the value of the car decreases by 16% of its estimated value the previous year. The dealership has a buyback program for the cars it sells. The dealership sets the buyback price of the car as the dealership’s estimated value of the car plus an additional \$300 if the car is sold back to the dealership within 5 years of the original purchase date. Which function represents the buyback price \( v(x) \), in dollars, of the car, where \( x \) is the number of years after the original purchase date and \( 0 A. \(v(x) = (29,000 + 300)(0.16)^x\) B. \(v(x) = (29,000 + 300)(0.84)^x\) C. \(v(x) = 29,000(0.16)^x + 300\) D. \(v(x) = 29,000(0.84)^x + 300\)
Question 18
A study is being conducted on 58 black bears to determine whether a black bear’s diet has an effect on the length of its hibernation. To conduct this study, a researcher assigned the black bears to two groups, where the diet of one group before the study was distinct from the diet of the other group before the study. The researcher developed two new diets: diet A and diet B. During the study, one group was provided diet A and the other group was provided diet B, and the length of each bear’s hibernation was measured. How should the study be changed to allow the researcher to conclude whether a black bear’s diet has an effect on the length of its hibernation? A. The bears should be randomly assigned to the two groups. B. The diet provided to each group should be randomly assigned. C. The researcher should not know which diet each bear was provided. D. No changes to the study are needed.
Question 19
In the given equation, \(k\) is a constant. The two solutions are distinct integers. Which of the following CANNOT be equivalent to \(k\)? \[ x^2 + 10x + k = 0 \] A. \((6)(4)\) B. \((7)(3)\) C. \((-3)(13)\) D. \((-7)(3)\)
Question 20
The given expression can be rewritten as \( \frac{a}{8}x^2 + \frac{b}{8}x + \frac{c}{8} \), where \( a, b, \) and \( c \) are constants. What is the value of \( a + b + c \)? A. −960 B. −480 C. −120 D. −15
Question 21
In the equation \[ \sqrt[2n]{6x^n + 27} = x \], \( n \) is a positive integer. What is the value of \( x^n \)?
Question 22
The polynomial function \(h\) is defined by the given equation, where \(a\), \(r\), and \(s\) are positive constants. In the xy -plane, the graph of \(y\) = \(h\)(\(x\)) intersects the \(x\)-axis at exactly three points. If \(h\)(0) = \(p\), which of the following must be true? A. \(p\) = 62 rs B. \(p\) > 62 rs C. There is not enough information to compare the values of \(p\) and 62 rs . D. \(p\) rs