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You are allowed to use a calculator for all of the questions. Unless stated otherwise, the following assumptions apply:  \n• All variables and expressions represent real numbers.  \n• The provided figures are accurately drawn to scale.  \n• All figures exist within a two-dimensional plane.  \n• The domain of a given function f is the set of all real numbers x for which f (x) is also a real number.  \n1. What is 20% of 470?  \nA) 84  \nB) 90  \nC) 100  \nD) 94  \n©2023 Test Ninjas: No part of this document may be copied or distributed without prior written permission or licensing. 1  \nDSAT Math Module 1  \n2. If 2(2x + 3) = 18, what is the value of x?  \nA) 6  \nB) 2  \nC) 4  \nD) 3  \n3. A person rents a bicycle for t hours, paying a $20 service fee and a $12 per hour rental fee. If the person plans to spend at most $100 on the bicycle rental, which inequality represents this situation?  \nA) 20 + 12t ≤ 100  \nB) 20 + 12t ≥ 100  \nC) 20-12t ≤ 100  \nD) 20t + 12 ≤ 100  \n4. The function h is defined by h (x) = x2 − 4x + 4 . At which value of x is h (x) = 0?  \nA) 1  \nB) 2  \nC) 3  \nD) 4  \n©2023 Test Ninjas: No part of this document may be copied or distributed without prior written permission or licensing. 2  \nDSAT Math Module 1  \n5. A fair 10-sided die has each face labeled with a number from 1 through 10, with a different number appearing on each face. If the die is rolled one time, what is the probability of rolling a 5?  \nA) 1/5  \nB) 1/10  \nC) 1/20  \nD) 2/10  \n6. If g(x) = 5x − 3, what is the value of g(3)?  \nA) 15  \nB) 9  \nC) 12  \nD) 18  \n7. A group of students is organizing a bake sale to raise funds for their club. They planto sell cookies for $1 each and brownies for $3 each. If they want to raise $100, which equation represents this situation, where x represents the number of cookies sold andy represents the number of brownies sold?  \nA) 3x − 1y = 100  \nB) 1x − 3y = 100  \nC) 3x + 1y = 100  \nD) 1x + 3y = 100  \n©2023 Test Ninjas: No part of this document may be copied or distributed without prior written permission or licensing. 3  \nDSAT Math Module 1  \n8. A test is worth 80 points and contains a mix of 2-point and 4-point questions. If x represents the number of 2-point questions and y represents the number of 4-point questions, which equation represents this situation?  \nA) 2x + y = 80  \nB) x + y = 80  \nC) 2x + 4y = 80  \nD) x + 4y = 80  \n9. A line passes through the points (3, 4) and (7, 12) . What is the slope of this line?  \nA) 4  \nB) 1  \nC) 2  \nD) -2  \n©2023 Test Ninjas: No part of this document may be copied or distributed without prior written permission or licensing. 4  \nDSAT Math Module 1  \n10. The graph of y = g(x) is displayed, where g (x) = x2 + x − 4. How many x-intercepts does the graph of g(x) have?  \nA) 0  \nB) 2  \nC) 1  \nD) 3  \n©2023 Test Ninjas: No part of this document may be copied or distributed without prior written permission or licensing. 5  \nDSAT Math Module 1  \n11. Michael purchased pencils and notebooks for a total of $52 . Each pencil cost $2 and each notebook cost $4 . If Michael bought 12 pencils, how many notebooks did he buy?  \nA) 6  \nB) 7  \nC) 8  \nD) 9  \n12. If 3x − 5y = 12, what is the value of x when y = 2?  \nA) 20/3  \nB) 22/3  \nC) 24/3  \nD) 18/3  \n13. A population of rabbits in a closed environment doubles every 6 months. If there are initially 500 rabbits, how many rabbits will there be after 2 years?  \nA) 16000  \nB) 4000  \nC) 10000  \nD) 8000  \n©2023 Test Ninjas: No part of this document may be copied or distributed without prior written permission or licensing. 6  \nDSAT Math Module 1  \n14. A school has 4 classrooms and an auditorium. The total number of chairs in the school is 1,280 . The equation 4x + y = 1280 represents this situation. What does x represent in this context?  \nA) The number of chairs in the auditorium  \nB) The number of chairs in each classroom","cbCaikEJw9SIFscf","https://ap.wps.com/l/cbCaikEJw9SIFscf","pdf",217973,"English","# Directions\n# Questions\n## Arithmetic, percent, and equations\n## Functions, intercepts, and graph behavior\n## Probability and inequalities\n## Geometry: area, triangle, circle, and angle measures","[{\"question\":\"What are the rules for solving these DSAT Math Module 1 questions?\",\"answer\":\"Use a calculator for all questions unless otherwise stated. Assume variables and expressions represent real numbers, figures are drawn to scale, and all figures lie in a two-dimensional plane.\"},{\"question\":\"Which topics are included in the question set?\",\"answer\":\"The problems include percent calculations, solving linear equations for variables, forming inequalities from real-world scenarios, evaluating functions, finding intercepts and slopes from graphs or points, and geometry applications such as triangle area and circle radius.\"},{\"question\":\"How are function-related questions handled in this module?\",\"answer\":\"Questions define functions explicitly (for example, h(x) or g(x)) and ask for values like function outputs or solution counts such as where h(x)=0 or how many x-intercepts a graph has.\"}]","DSAT Math Module 1 - Digital SAT Math-22 Questions | PDF",1790719143,25]