Question 1
What is the slope of the graph of \( y = \frac{1}{11}x + 29 \) in the xy -plane? A. \(-29\) B. \(-11\) C. \( \frac{1}{11} \) D. \(29\)
SAT, October 2026 North America Form B, Math module 1.
22 questions · Free online practice
Open the interactive worksheetQuestion 1
What is the slope of the graph of \( y = \frac{1}{11}x + 29 \) in the xy -plane? A. \(-29\) B. \(-11\) C. \( \frac{1}{11} \) D. \(29\)
Question 2
Which expression is equivalent to \(28x^2 + 28\)? A. \(28\( (x^2 + \frac{1}{28}) \)\) B. \(28(28x^2 + 1)\) C. \(28(x^2 + 28)\) D. \(28(x^2 + 1)\)
Question 3
If \( 2(x - 8) = 2(40) \), what is the value of \( x - 8 \)? A. \(80\) B. \(40\) C. \(10\) D. \(5\)
Question 4
The function \(h\) is defined by \(h\)(\(x\)) = 100\(x\) − 40. What is the value of \(h\)(\(x\)) when \(x\) = 6? A. \(640\) B. \(560\) C. \(146\) D. \(66\)
Question 5
A right square prism has a height of 12 units. The volume of the prism is 2,028 cubic units. What is the length, in units, of an edge of the base?
Question 6
A collection contains \(x\) equilateral triangles with side length 1 and \(y\) squares with side length 1. The equation \(3x + 4y = 192\) represents the possible combinations such that the sum of all side lengths is 192. Which statement is the best interpretation of the \(y\)-intercept? A. A collection could contain 0 triangles and 64 squares. B. A collection could contain 0 triangles and 48 squares. C. A collection could contain 0 squares and 48 triangles. D. A collection could contain 0 squares and 64 triangles.
Question 7
What is the solution to the given equation? \[ \frac{1}{4}(9 - 2x) = -5 \]
Question 8
What is the solution to the given equation? \[ \frac{1}{8}(5 - 2x) = -7 \]
Question 9
The current value of a house is \$180,000, and this value increases by 2.3% each year from the value of the previous year. Which function \( f \) gives the value, in dollars, of the house \( x \) years from now? A. \( f(x) = 180,000(0.023)^x \) B. \( f(x) = 180,000(0.23)^x \) C. \( f(x) = 180,000(1.023)^x \) D. \( f(x) = 180,000(1.23)^x \)
Question 10
What is the slope of a line that is parallel to the graph of \(3x - 4y + 11 = 0\) in the xy-plane?
Question 11
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 28 94 92 B. x 2 4 6 y 28 60 92 C. x 2 4 6 y 45 77 109 D. x 2 4 6 y 62 94 126
Question 12
Line p in the xy-plane contains the points (8, 0) and (8, 8). Which equation defines line p? A. \(x = 8\) B. \(x = 0\) C. \(y = 8\) D. \(y = 0\)
Question 13
Which table gives four values of \(x\) and their corresponding values of \(f(x)\) for the given exponential function? \[ f(x) = 10(2)^{\frac{x}{6}} \] A. x -6 0 6 12 f(x) 5 0 20 40 B. x -6 0 6 12 f(x) 5 10 20 40 C. x -6 0 6 12 f(x) -5 10 20 40 D. x -6 0 6 12 f(x) 5 10 20 30
Question 14
The function \(p\) is defined by the given equation. In the xy -plane, for which point on the graph of \(y\) = \(p\)(\(x\)) does \(y\) = \(p\)(0)? A. \((-36, 0)\) B. \((2, 0)\) C. \((0, -14)\) D. \((0, \sqrt{7})\)
Question 15
A company surveyed a random sample of its employees and estimated an average of 6.3 hours per week collaborating on work-related projects, with a margin of error of 1.2 hours. The company will select a new random sample twice as large as the previous sample. Which is most likely true about the margin of error for the resulting estimate? A. It will be less than 1.2 hours. B. It will be exactly 1.2 hours. C. It will be between 1.2 and 2.4 hours. D. It will be exactly 2.4 hours.
Question 16
A rectangle has a width of \(n\) yards and a length of \((n + 3)\) yards. If the rectangle has an area of 208 square yards, what is the value of \(n\)?
Question 17
A study is being conducted on 50 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 18
The function \(h\) is defined by \(h\)(\(x\)) = |\(x\) − 9| − |6 − \(x\)| + \(a\), where \(a\) is a constant, and \(h\)(−3) = 2. What is the value of \(a\)?
Question 19
The area of a certain cell tower’s coverage is 317,813,760 square feet. What is the area, in square miles, of this cell tower’s coverage? (1 mile = 5,280 feet) A. \(3.4\) B. \(11.4\) C. \(17,827\) D. \(60,192\)
Question 20
In the figure shown, lines \(l\) and \(k\) are parallel and line \(t\) intersects both lines. If \(x\) > 108, which of the following must be true? A. \(y\) < 72 B. \(y\) > 72 C. \(x\) + \(y\) < 180 D. \(x\) + \(y\) > 180
Question 21
In the given system of equations, \(k\) and \(t\) are constants. The solution to this system is (\(x\), \(y\)). What is the value of 14(\(y\) + \(t\))? \[(x + k) + \frac{7}{2}(y + t) + 19 = 0\] \[(x + k) - \frac{7}{2}(y + t) - 19 = 0\] A. \(38\) B. \(7\) C. \(0\) D. \(-76\)
Question 22
The scatterplot shows the estimated population of resident Canada geese \(y\), in millions, in North America \(x\) years after 1971. Which of the following equations is the most appropriate quadratic model for the data shown? A. \(y = 0.005(x - 4.46)^2 + 0.24\) B. \(y = 0.05(x - 4.46)^2 + 0.24\) C. \(y = 0.5(x - 4.46)^2 + 0.24\) D. \(y = 0.005(x + 4.46)^2 + 0.24\)