sat - practice test # 6

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47sat.magoosh.com 4 4 continue math test – calculator directions for questions 1-30, solve each problem, choose the best answer from the choices provided, and fill in the corresponding circle on your answer sheet. for questions 31-38, solve the problem and enter your answer in the grid on the answer sheet. please refer to the directions before question 31 on how to enter your answers in the grid. you may use any available space in your test booklet for scratch work. notes 1. the use of a calculator is permitted. 2. all variables and expressions used represent real numbers unless otherwise indicated. 3. figures provided in this test are drawn to scale unless otherwise indicated. 4. all figures lie in a plane unless otherwise indicated. 5. unless otherwise indicated, the domain of a given function f is the set of all real numbers x for which f(x) is a real number. …

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rams of flour are required to make 300 tarts, how many kilograms of flour are required to make 45 tarts? a) 10 3 b) 32 9 c) 18 5 d) 15 4 https://sat.magoosh.com http://sat.magoosh.com https://magoosh.com 49sat.magoosh.com 4 4 continue 5. for right triangle xyz shown above, which of the following expressions has a value that is equal to sin x? a) sin y b) cos x c) cos y d) tan y 6. 1 5 of x is equal to 2. 1 3 of y is equal to 4. what is x – y? a) –2 b) 2 c) 5 d) 10 7. the value of a car depreciates $3,500 per year. three years after it was purchased, the car’s value was $20,000. which equation can be used to find its worth, w in dollars, after depreciating x years after purchase? a) w = 30,500 – 3,500x b) w = …

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lowing statements is correct? a) the football is kicked from a height of 2 feet. b) the football reaches a maximum height of 64 feet. c) the football hits the ground after 6 seconds. d) it takes 4 seconds for the football to reach its maximum height. 14. in trapezoid abcd, bc = ef = 6, af = de = 3, and ab = cd = 5. if the area of a trapezoid is given by a = ( b1 +b2 2 )h, then which of the following is the area of trapezoid abcd? a) 12 b) 24 c) 36 d) 45 15. according to a conservation biologist, the number of bison in a national park is declining at an annual rate of 1.74%. if the current population is 18,000, which of the following expressions appropriately models the population of bison five years from now? a) 18,000 (1 – .01745) …

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goosh.com 53sat.magoosh.com 4 4 continue 20. if y = 2x3 + 3x + 4 and t = 4x2 – 3x + 2, what is 2y – t in terms of x? a) 8x3 + 9x + 6 b) 4x3 – 4x2 + 3x + 10 c) 4x3 – 4x2 + 9x + 2 d) 4x3 – 4x2 + 9x + 6 21. for every four magazines wanda sells during the book drive, she gets 50 cents commission. if she makes a total of $20.50, how many magazines does she sell? a) 40 b) 41 c) 161 d) 164 22. (x + 1)(x2 + nx + 1) = x3 + 3x2 + 3x + 1 what is the value of n? a) –1 b) 1 c) 2 d) 3 23. a retailer purchases shirts from a wholesaler and then sells the shirts in her store at a retail price that is …

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8 b) $24 c) $90 d) $93 28. henry decreased his daily caloric intake by 20%, and eleanor increased her daily caloric intake by 20%. if they both now consume the same number of calories, how much percent greater was henry’s original caloric intake than that of eleanor? a) 37% b) 40% c) 48% d) 50% room maximum capacity flat cost per guest price room a 10 guests $50 $10/guest room b 25 guests $75 $8/guest room c 50 guests $150 $5/guest https://sat.magoosh.com http://sat.magoosh.com https://magoosh.com 56sat.magoosh.com 4 4 continue 29. which of the following complex numbers equals the reciprocal of the complex number 2+ i 5 ? a) 1 + 2i b) 2 – i c) 10 + 5i d) 5 – 10i 30. south park road is closed during the last three months of the year and the first two months of the new year. if n stands for …

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47sat.magoosh.com 4 4 continue math test – calculator directions for questions 1-30, solve each problem, choose the best answer from the choices provided, and fill in the corresponding circle on your answer sheet. for questions 31-38, solve the problem and enter your answer in the grid on the answer sheet. please refer to the directions before question 31 on how to enter your answers in the grid. you may use any available space in your test booklet for scratch work. notes 1. the use of a calculator is permitted. 2. all variables and expressions used represent real numbers unless otherwise indicated. 3. figures provided in this test are drawn to scale unless otherwise indicated. 4. all figures lie in a …

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