SAT Online Subject Test Mathematics Level 2

1 Ivy Global SAT Online Subject Test Mathematics Level 2 PDF downloads are for single print use only: To license this file for multiple prints, please email Downloaded files may include a digital signature to track illegal distribution. Report suspected piracy to and earn a more about our new SAT products at: SAT Online Subject Test in Mathematics Level 2 This publication was written and edited by the team at Ivy Global. Editor-in -Chief: Nathan L tourneau Producers: Lloyd Min and Junho Suh Editors: Sacha Azor and Ian Greig Contributors: Thea B langer-Polak, Ali Candib, Alex Dunne, Alex Emond, Mark Mendola, Ward Pettibone, Nathan Tebokkel, Yolanda Song This product was developed by Ivy Global, a pioneering education company that delivers a wide range of educational services.

2 E-mail: is a registered trademark of the College Board, which is not affiliated with this publication. YOUR NAME (PRINT): LAST FIRST MI Make sure you use a No. 2 pencil. Each answer must be marked in the corresponding row on the answer sheet. Each bubble must be filled in completely and darkly within the lines. Extra marks on your answer sheet may be marked as incorrect answers and lower your score. oLiterature oBiology E oBiology M oChemistry oPhysicsoMathematics Level 1 Mathematics Level 2 History oWorld History oFrench oGerman oItalianoLatin oModern Hebrew oSpanish 1 21 41 61 81 2 22 42 62 82 3 23 43 63 83 4 24 44 64 84 5 25 45 65 85 6 26 46 66 86 7 27 47 67 87 8 28 48 68 88 9 29 49 69 89 10 30 50 70 90 11 31 51 71 81 12 32 52 72 92 13 33 53 73 93 14

3 34 54 74 94 15 35 55 75 95 16 36 56 76 96 17 37 57 77 97 18 38 58 78 98 19 39 59 79 99 20 40 60 80 100 Correct Incorrect For automatic scoring and scaling, please visit Ivy Global | SAT Online Subject Test in Mathematics Level 23 This exam is not licensed for commercial 2 2 2 2GO ON TO THE NEXT PAGEL evel 2 Mathematics Subject TestReference MaterialsTHE FORMULAS BELOW MAY BE USEFUL IN ANSWERING QUESTIONS ON THIS is the formula for the surface area of a sphere with a radius of is the formula for a right circular cone with a radius of r and a height of is the formula for a sphere with a radius of is the formula for a pyramid with a base area of B and a height of choosing an answer, find the CLOSEST answer possible.

4 If the precise numerical value that you have found is not an answer choice, select the choice that is closest to your answer. Use the answer sheet and fill in the bubble corresponding to your : (1) You ARE permitted the use of a graphing or scientific calculator, which you may use at your own discretion. You will also have to choose between degree or radian mode for some questions; , so keep track of what mode your calculator is in.(2)You may assume that figures are drawn as accurately as possible UNLESS it is explicitly stated that a figure isnot drawn to scale. Further, all figures are in a plane UNLESS it is stated otherwise.(3) For any function f, unless otherwise specified, you may assume that a real number x is in the domain of f if andonly if f (x) is a real number.

5 The range of f consists of all and only those real numbers of the form f (x), where xis in the domain of f.(4) Four formulas are provided in the box above for your Global | SAT Online Subject Test in Mathematics Level 25 This exam is not licensed for commercial 2 2 2 2GO ON TO THE NEXT 3x 3 + 10 = 19, then x =(A)3(B)4(C)5(D)6(E) number s prime factors are 2, 5, 7, 13, and 31. Which of thefollowing must be a factor of the number?(A)4(B)6(C)10(D)15(E) is the slope of the line that passes through the points (5, 4) and( 2, 3)?(A) (B) (C) (D) (E) is the magnitude of the vector v = ( 5, 0, 7 ) ?(A) (B) (C) (D) (E) THIS SPACE FOR SCRATCHWORK. SAT Online Subject Test in Mathematics Level 2 | Ivy Global6 This exam is not licensed for commercial 2 2 2 2GO ON TO THE NEXT PAGEUSE THIS SPACE FOR #is equivalent to(A)a2ba +(B)a 2ab+(C)a 2ab+(D) aab2(E) f is a linear function with nonzero slope, and c < d, which of thefollowing must be FALSE?

6 (A)f (c) = f (d)(B)f (c) f (d)(C)f (c) > f (d)(D)f (c) < f (d)(E)f (c) = 0 or f (d) = sin54i=, then cosi =(A)54(B)45(C)254r (D)2r i(E)53 Ivy Global | SAT Online Subject Test in Mathematics Level 27 This exam is not licensed for commercial 2 2 2 2GO ON TO THE NEXT PAGE8. For which of the following values of x is ()x=()fxxxx512367 432+ defined?(A) 3(B) 0(C) 2(D) 3(E) 6If a + b = 0, then a = b. 9. If a and b are real numbers, which of the following can be inferred from the statement above?(A) If a = b, then a + b = 0.(B) If a ! b, then a + b ! 0.(C) If a + b ! 0, then a ! b.(D) If a b = 0, then a ! b. (E) If a ! b, then a b = The mean of 7 numbers is 15. When an 8th number is added, the mean decreases to 12.

7 What is the 8th number?(A) 12(B) 9(C) 0(D) 8(E) 12 USE THIS SPACE FOR Online Subject Test in Mathematics Level 2 | Ivy Global8 This exam is not licensed for commercial 2 2 2 2GO ON TO THE NEXT f (x) = 3x, g (x) = 5x + 3, and h (x) = 1 x2, then f (g (h (x))) =(A)15x2 + 15(B) 15x2 + 18(C) 15x2 + 24(D) 225x2 + 90x 8(E) 225x2 90x of the following is NOT a function of x?(A)(B)(C)(D)(E)USE THIS SPACE FOR Global | SAT Online Subject Test in Mathematics Level 29 This exam is not licensed for commercial 2 2 2 2GO ON TO THE NEXT PAGE13. If a line is perpendicular to y = 213x, then its equation could be (A) yx213=+(B) yx321=(C) yx2131=(D) yx23 =(E) yx23 =14. If a pentagon P with vertices at ( 2, 4), ( 4, 1), ( 1, 4), (2, 4), and (3, 0) is reflected across the line y = x to get a new pentagon, P , then one of the vertices of P is(A) (0, 3) (B) (4, 1)(C) (2, 2)(D) (4, 2)(E) ( 4, 2)15.

8 Two poles stand on opposite sides of a Level street that is 12 meters wide. If one pole is 5 meters taller than the other, what is the angle of elevation between the tops of the poles?(A) sin1251 ak(B) sin13121 ak(C) tan1251 ak(D) tan1351 ak(E) cos1251 akUSE THIS SPACE FOR Online Subject Test in Mathematics Level 2 | Ivy Global10 This exam is not licensed for commercial 2 2 2 2GO ON TO THE NEXT PAGE16. What is the value of sin(x )?(A) (B) (C) (D) (E) Cannot be determined from the given information17. Which of the following points is NOT a solution to both the inequalities y > 9x 8 and y < x + 8?(A) ( 2, 15)(B) ( 1, 5)(C) (0, 0)(D) (1, 5)(E) (1, 2)USE THIS SPACE FOR Global | SAT Online Subject Test in Mathematics Level 211 This exam is not licensed for commercial 2 2 2 2GO ON TO THE NEXT PAGE18.

9 A lawn mowing company charges its customers according to the step function y = x101+6@, for all x > 0, as shown in the graph above. If a customer s lawn takes 2 hours and 17 minutes to mow, how much does the company charge?(A) $ (B) $ (C) $ (D) $ (E) $ What is the range of the function y = 5 + 3sin (r x)?(A) 3 y 3 (B) 2 y 8 (C) 0 y 6(D) 2 y 8(E) yReUSE THIS SPACE FOR Online Subject Test in Mathematics Level 2 | Ivy Global12 This exam is not licensed for commercial 2 2 2 2GO ON TO THE NEXT PAGE20. If g (x) = f ( x) for all real numbers x, and if (3, 2) is a point on the graph of g, which of the following points MUST be on the graph of f ?(A) (3, 2)(B) (3, 2)(C) ( 3, 2)(D) ( 3, 2)(E) (2, 3)OyIIIIVIIIx21.

10 The figure above shows xy-coordinate space divided into four quadrants. If an angle measuring a is located in Quadrant II, then which of the following statements must be true? I. cos (90 a ) is positive II. tan (a ) is positive III. a is positive(A) I only(B) II only (C) I and III(D) II and III(E) I, II, and IIIUSE THIS SPACE FOR Global | SAT Online Subject Test in Mathematics Level 213 This exam is not licensed for commercial 2 2 2 2GO ON TO THE NEXT f (x) = x3 + 2x2 9x 18, which of the following statements istrue?(A)f (x) = 0 has three real solutions.(B)f (x) 18 for all x 0.(C)f (x) 18 for all x 0.(D)The function f (x) is decreasing for x 3.(E)The function f (x) is increasing for x a least-squares linear regression is used to model data, as shownin the graph above, what is a reasonable y value estimate for anx value of 197?