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The questions cover cost and population growth modeling, percentage-based area composition, systems of equations with parameter constraints, graph interpretation to find possible intersection x-values, exponent and radical simplification, exponential decay rates, and linear-function intercepts. 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A product’s cost increases by 135 every m months. What expression represents the total cost increase every k years in terms of m?  \nA) ~~4~~5~~5k~~m  \nB) ~~45~~5~~m~~k  \nC) ~~1620~~m~~k~~  \nD) ~~1620~~k~~m~~  \n2. The population of a certain city doubled every 75 years from 1648 to 1948 . The population of this city was 240,000 in 1948 . What was the population of this city in 1648?  \n3. On a plot of land, 48 .0% of the square footage is farmland, and the remaining square footage is pasture. There are buildings on exactly 21 .5% of the square footage of the farmland, and there are buildings on exactly 19.0% of the square footage of the pasture. If there are buildings on exactly p% of the square footage of the plot of land, what is the value of p?  \n4.  \n(yy  −x26+.58x + a  \nIn the given system of equations, a is a positive integer constant. The system has no real solutions. What is the least possible value of a?  \n1  \nMr.Yokubjon Isaqjonov My telegram channel: @sat 800  \n5.  \nThe figure above shows the graphs of f (x) and g (x) . If f (b) = g (b), which of the following could be the value of b?  \nA) −3  \nB) 0  \nC) 1  \nD) 7  \n6. In the expression √8 x3m  , m is a constant and x > 1. The expression can be rewritten as √5 x. What is the value of m?  \n7. The function z is defined by:  \nz (w) = (0 .816)2w  \nThe value of z(w) decreases by p% for each increase by 1 in the value of w. Which of the following is closest to the value of p?  \nA) 0.184  \nB) 0.816  \nC) 18.4  \nD) 33.4  \n| Mr.Yokubjon Isaqjonov My telegram channel: @sat 800\u003Cbr>8. The table shows three values of x and their corresponding values of g(x), where\u003Cbr> f (x) g (x) =\u003Cbr>x + 3\u003Cbr>and f is a linear function. What is the y-intercept of the graph of y = f (x) in the xy-plane?\u003Cbr>x g (x) -27\u003Cbr>-9\u003Cbr>21 3 0\u003Cbr>5\u003Cbr>A) (0, 36)\u003Cbr>B) (0, 12)\u003Cbr>C) (0, 4)\u003Cbr>D) (0, -9)\u003Cbr>9. The function f(x) = 81(b)x , where b is a positive constant, is given. For every increase in the value of x by 1, the value of f (x) increases by c%, where 0 \u003C c \u003C 100. Which expression gives the value of c in terms of b? |  |\n| --- | --- |\n| A) 1 + 1~~b~~00\u003Cbr>B) b + 100\u003Cbr>C) 100(b + 1)\u003Cbr>D) 100(b − 1) | |\n| 10. In the xy-plane, a circle has center C with coordinates (h, k) . Points A and B lie on the circle. Point A has coordinates (h + 1, k + √ 102), and ̸ ACB is a right angle. What is the length of AB?\u003Cbr>A) √206\u003Cbr>B) 2 √102\u003Cbr>C) 103 √2\u003Cbr>D) 103 √3\u003Cbr>11. A square map has a side length of 55 inches, and 1 inch on the map represents an actual distance of 19 miles. A larger version of the same map is printed as a square with the side length 65% longer than the side length of the previous map. On the larger map, which of the following is closest to the actual distance, in miles, represented by 1 inch?\u003Cbr>A) 6.65\u003Cbr>B) 11.52\u003Cbr>C) 31.35\u003Cbr>D) 35.75 |  |\n\nMr.Yokubjon Isaqjonov My telegram channel: @sat 800  \n12. A circle has center G, and points M and N lie on the circle. Line segments MHand NH are tangent to the circle at points M and N, respectively. If the radius of the circle is 168 millimeters and the perimeter of quadrilateral GMHN is 3,856 millimeters, what is the distance, in millimeters, between points G and H?  \nA) 168  \nB) 1,752  \nC) 1,760  \nD) 1,768  \n13. The function p(x) is defined by p(x) = a((x + 5)2 − b)((x + 5)2 − c), where a, b, and c are constants. In the xy-plane, the graph of y = p (x) passes through the points (−6 , 35) and (0 , 323) . What is the value of p(−10) + p(−4)?  \n14. For the equation 8rx2 − 80sx + 8r = 0, r and s are constants such that r > 0, s \u003C 0, and ~~r~~s > k. What is the least value of k that ensures the equation has two distinct real solutions?  \n15. In the equation (x − k)2 = (k − 5a)(x − k), a and k are constants, where k > 5a. The sum of the solutions to the equation is 3k + 21 . What is the value of a?  \n16. A rectangular region of land is divided into 92 square lots of equal are","cbCaimKu7L5ZIqSK","https://ap.wps.com/l/cbCaimKu7L5ZIqSK","pdf",256837,"English","# Questions\n## Algebra and Functions\n## Geometry and Measurement","[{\"question\":\"What topics are included in SAT Math Training set 3?\",\"answer\":\"It includes algebra and functions (growth models, percentages, systems, graph-based questions, radicals/exponents, and polynomials) as well as geometry and measurement (circles, tangents, scaling, and 3D surface area).\"},{\"question\":\"How do the problems usually use parameters like a, b, c, m, or r?\",\"answer\":\"They ask for expressions or least/closest values of parameters based on constraints such as “no real solutions,” growth rules, or given function and graph properties.\"},{\"question\":\"What math skills are needed for the geometry questions in this set?\",\"answer\":\"The set requires understanding circle geometry (centers, chords, tangents), right angles and distances on coordinate planes, scaling relationships for maps, and surface area calculations for pyramids.\"}]","SAT Math Test - Training set 3 - Question practice | PDF",13]