Pre-Calculus Honors Final Exam Review Chapter 1 Chapter 1 Multiple .
Pre-Calculus Honors Final Exam Review Chapter 1 Chapter 1 Multiple Choice Questions 1. Solve for x: 2 x 2 3 2 x A. 1 5 2 B. 1 5 2 C. 1 7 2 D. 1 7 2 E. 1 2 7 2 2. Compare the graph of t ( x) x 2 with s( x) x 2 . A. t is obtained by reflecting s over the x-axis C. t is obtained by shifting s up E. tis obtained by shifting s left B. t is obtained by reflecting s over the y-axis D. t is obtained by shifting s down 3. Given f ( x) x 2 , find g(x) such that g ( x) f ( x 1) 3 . B. g ( x) ( x 1) 2 3 E. g ( x) x 2 2 x 2 A. g ( x) ( x 1) 2 3 D. g ( x) ( x 1) 2 3 4. Find the inverse of f ( x) 8 6x 7 8 6x D. f 1 ( x) 7 A. f 1 ( x) 8 7x . 6 8 6x 7 8 7x E. f 1 ( x) 6 B. f 1 ( x) 5. Which of the following functions is not one-to-one? 7 A. q( x) x B. q( x) x 2 , x 0 2 1 D. q( x) 2 E. q( x) x 3 , x 3 x 6. Find the x-intercepts of f ( x) x 2 18x 80 . A. (8, 0), (10, 0) B. (-8, 0), (-10, 0) C. (-8, 0), (10, 0) C. g ( x) ( x 1) 2 3 C. f 1 ( x) 8 6x 6 C. t ( x) ( x 3) 3 5 D. (8, 0), (-10, 0) E. (-16, 0), (5, 0) 2 7. Approximate the zero furthest to the right accurate to three decimal places for h( x) x 2 7 x 12 . 5 A. –1.573 B. –1.003 C. 7.332 D. 19.073 8. Approximate the zero furthest to the left accurate to three decimal places for p( x) A. –1.741 B. –0.740 C. 1.742 E. 20.001 7 2 5 x x 2. 5 3 D. 1.930 E. 2.741 D. (-6, -69) E. (6, -33) 9. Find the vertex of the function f ( x) 2 x 2 24 x 3 . A. (-6, 69) B. (6, 69) C. (-6, -33)
10. Approximate to three decimal places the minimum value of y 5x 2 7 x 15 . A. –17.450 B. –1.700 C. –0.700 D. 1.700 E. 17.450 D. –225 E. -235 11. Given f ( x) 3x 10 and g ( x) 9 x 2 x , find ( f g )(5) . A. 235 B. 225 C. –215 12. For what value(s) of x is the graph of y ( x 2)( x 4) 2 above the x-axis? A. x 4 B. 4 x 2 C. x 2 D. x 4 E. none of these
Pre-Calculus Honors Final Review Chapter 2 Multiple Choice Questions 1. What is the remainder when 2 x³ 7 x² 5 is divided by x 3 . A. – 4 B. 5 C. 4 D. 0 E. none of these 2. Determine the remainder when 2 x 4 4 x³ 5x² 3x 2 is divided by x² 2 x 3 . A. 1 B. 2x² 1 C. x 1 D. 2x² - 1 E. x 3. Which of the following is an x-intercept of 2 x 4 7 x³ 4 x² 27 x 18 ? A. (-2 , 0) 4. Simplify A. -18 B. (3 , 0) 2 D. ,0 3 C. (1 , 0) E. 3 ,0 2 6 3 . B. 3 2 C. 3 2 E. 2 3 D. 18 4 1. x D. y -1 5. Which of the following is the horizontal asymptote for y A. y 1 B. y 4 C. y 0 E. none 6. Choose the appropriate statement for the graph of a parabola in the form f ( x) a( x h) 2 k where a, h andk are real numbers and x is a variable. A. B. C. D. E. vertex at (h , k) with an axis of symmetry of x h vertex at (h , -k) with an axis of symmetry of x h vertex at (-h , k) with an axis of symmetry of x h vertex at (h , -k) with an axis of symmetry of x k vertex at (h , k) with an axis of symmetry of x h 7. A polynomial function has complex roots of 7i 2 and 5. Which of the following must also be a root? A. - 5i B. -5 C. 7i -2 E. -7i – 2 D. -7i 2 8. Determine the polynomial with real coefficients having roots A. ( ) D. ( ) B. ( ) . C. E. ( ) ( ) 9. Given ( ) , state the leading coefficient, the degree, the possible number of turns and the possible number of positive, real zeros, the total number of zeros, the possible number of negative real zeros, the list of possible, rational zeros.
Use the graph to the right to answer questions 10-13. 10. ( ) A. 0 11. A. 0 D. E. -4 B. -2 C. D. E. -4 B. -2 C. D. E. -4 B. -2 C. D. E. -4 ( ) A. 0 13. C. ( ) A. 0 12. B. -2 ( )
Chapter 3 Midterm Questions 1. If 1 9 6 x , then what is the solution for x? 4x 3 A. 0, 6 B. 6 D. C. -2 8 3 E. -6 2. Given that e 2 x 3e x , find the value of x. A. 0, 3 B. 1, 3 C. 0, ln 3 D. 1, ln 3 E. ln 3 3. Condense 3 ln x 3 ln x ln 9 x A. ln 9 x 7 B. ln( x 3 12 x) D. ln 27 x 5 E. ln(2 x 3 9 x) C. 1, 0 D. 2 e E. none of these C. e 6 D. C. 3 ln 9 x 5 4. Solve for the exact solution of ln( x) 2 . B. e 2 A. 2 5. Solve for the exact solution of e x 6 . B. ln 6 A. 6 6 e E. none of these 6. Solve for the exact value of ln x ln 2 3 . e3 A. 2 e3 B. ln 2 3e C. 2 D. 3 ln 2 E. none of these 7. Solve for the exact value of ln( x 2 1) ln( x 1) ln 4 . A. -2, 3 B. 3 C. ln 3 D. 1 17 2 E. none of these 8. If log( 7 x) 1 log( 3x 2), then x is equal to what value? A. 27 29 B. 13 31 C. 9 4 D. 13 31 E. 19 31 9. Find the domain of the graph of y log 2 ( x 5) . A. x 5 B. x -5 C. all real numbers D. x 5 E. x 0 C. 8 D. -8 E. none of these 10. Solve the equation e 2 x 1 e 4 x e 3 . A. 1 B. -1
11. Find the range of the function y 2 0.8 . x A. y 0 B. y 0 C. y -2 D. y -2 E. y 2 D. 18.648 E. 18.685 12. Solve to three decimal places 4 2 x 3 9 x 3 . A. - 1.685 B. 1.685 C. 8.648 13. Simplify log 3 32 x 1 . A. 6 2 x 1 C. 32 x 1 B. 2x – 1 D. 6x-3 E. none of these 14. Write log a b c in exponential form. A. a b c B. b a c C. c b a D. b c a E. a c b w 15. Evaluate ln p e B. ln w p A. p ln w w D. ln p C. p E. p ln w 16. Solve for x: log b x log b 5 log b 60 . A. 10 B. 12 C. 120 D. 300 E. 65 17. Choose the expression that represents log n z changed to the natural base. A. log n log z B. log e n log e z C. ln z ln n D. log z log n E. ln n ln z E. ln n ln z 18. Choose the expression that represents log n z changed to the common log. A. log n log z B. 19. Evaluate log 7 A. 1.8837 log e n log e z C. ln z ln n D. log z log n 43 to the nearest ten-thousandth. 5 B. 1.3102 C. 1.1803 D. 1.1302 E. 0.1679 1 20. Condense completely. 4 log 5 x log 5 y 2 1 A. log 5 ( x 4 y 2 ) B. log 5 ( x 4 y ) 1 2 D. log 5 ( x ) log 5 ( y ) 4 E. log 5 ( x 4 y ) C. 5 x 4 y
2 1 ln( x 3) 7 ln y ln z 3 3 21. Condense completely. A. ln 3 ( x 3) 2 y 7 3 ln z B. e 3 ( x 3) 2 y 7 3 z 3 ( x 3) 2 y 7 C. ln 3 z D. ln 3 ( x 3) 2 y 7 3 z 3 22. If log a 2 x and log a 3 y , write an expression for log a in terms of x and y. 2 y x A. x – y B. C. D. x y x y 3 E. e ( x 3) 2 y 7 3 z E. y – x 23. Choose the appropriate interval for the domain of f ( x) log 2 ( x 1) . A. , B. 1, C. , 1 D. ,1 E. 1, 24. If the graph of f ( x) 3 x is shifted 4 units to the right, the equation of the transformed graph would be: A. f ( x) 3 x 4 B. f ( x) 3 x 4 C. f ( x) 3 x 4 D. f ( x) 3 x 4 E. f ( x) 4 3 x
Pre-Calculus Honors 1. If sin( x) a. 2. a. 3. a. 4. a. 5. a. 6. a. 7. a. 8. a. Final Review 5 then sin(x) equals: 7 5 5 b. 45.58 c. -45.88 d. e. 74 7 7 Determine the exact value of sin given (-4 , -10) on the terminal side of the angle in standard position. 116 116 29 5 29 b. 5 29 c. d. e. 5 10 4 29 Determine the exact value of cos given (-2 , 3) on the terminal side of the angle in standard position. 2 5 2 13 3 5 3 13 b. c. d. e. 2 5 13 13 5 5 State the reference angle for 315 . b. 135 c. 45 d. 75 e. 75 45 State the reference angle for 153 . b. 63 c. 207 d. 27 e. 207 27 State the reference angle for 292 . b. 68 c. 22 d. 68 e. 22 112 4 State the reference angle for . 9 4 b. c. d. e. 100 9 9 9 3 5 Determine the quadrant for . 3 I b. II c. III d. IV 9. Find the complement and supplement for a. Chapter 4 Multiple Choice Questions 2 , b. none , c. 3 2 6 , 3 d. 7 in terms of degrees. Round if necessary. 6 a. 420 b. 315 c. 330 d. 8 11. Express the angle in terms of degrees. Round if necessary. 3 a. 480 b. 310 c. 60 d. 12. Express the angle 3.5 in terms of degrees. Round if necessary. a. 620 b. 363.5 c. 200.5 d. 13. Find the arc length given r 3 and 72 . a. 216 b. 24 c. 7.54 d. 5 7 , 3 3 e. 2 5 , 3 3 10. Express the angle 14. Find the arc length given r 4 and 210 e. 300 120 e. 150 210 e. 312.5 10.15 e. 3.77 . 4 a. 4 b. 45 c. 180 d. 3.14 e. 5.18 15. An airplane flying at 520 mph has a bearing of S 58 W . After flying for 1.5 hours, how far south and how far west has the plane traveled? (could be chp 4 or chp 6) a. 661.5 mi. S, b. 275.6 mi. S, c. 441.0 mi. S, d. 413.3 mi. S e. 388.5 mi. S, 413.3 mi. W 441.0 mi. W 275.6 mi. W 661.5 mi. W 511.9 mi. W
16. At a point 175 feet from the base of a building, the angle of elevation to the top of the building is 29 , and the angle of elevation to the top of a flag pole that sits atop the building is 35 . Find the height of the flag pole. a. 12.4 feet b. 25.5 feet c. 97.0 feet d. 122.5 feet e. 84.8 feet 17. Given y 5 sin 2 x 10 state the period. 2 a. 2 b. 5 c. d. 2 e. x 18. Given y tan state the period. 3 2 3 b. 2 3 19. Given y 3 tan(2 x) state the period. c. a. 2 c. 3 a. b. d. 3 d. 2 e. 6 e. 4 Given y 3 cos x 6 state the amplitude. 4 a. 6 b. 3 c. -6 21. Given y 3 cos x 6 state the period. 4 d. -3 e. a. 4 d. 1 8 e. 8 20. b. 8 c. 4 22. Given y 3 cos x 6 state the phase shift. 4 a. c. b. 4 23. Given y 3 cos x 6 state the vertical shift. 4 a. 6 b. -3 c. -6 5 24. Simplify cot arccos . 13 5 12 13 a. b. c. 12 13 12 3 25. Simplify cot arcsin 8 a. 55 3 b. 3 8 c. 55 3 d. 1 4 e. d. 3 d. d. e. -4 12 5 3 55 e. 5 13 e. 73 3
Pre-Calculus Honors Final Exam Review Chapter 5 Multiple Choice Questions 1. The graph represented by the equation y 3 sin(4 ) 5 has a maximum value of: a. 2 b. 3 2. The expression a. 1 sin c. 5 e. -3 d. cot e. cos sec is equivalent to: tan cot b. 1 cos c. sin 3. If is measured in radians and cos a. d. 8 3 5 b. 4 5 3 , then we know that cos( 2 ) is: 5 3 4 c. d. 5 5 5 4. Determine g given that g ( x) sin(4 x) . 16 1 1 1 a. b. c. 2 2 2 1 2 d. e. 1 e. 3 2 5. Find the exact value of the cos 75 . a. 6 2 4 6. Given sin A a. 10 10 b. 6 2 4 6 2 4 c. d. 3 A , A in quadrant II, find cos . 5 2 3 3 10 b. c. 10 10 d. 6 2 4 e. not possible e. 3 3 10 7. Solve: cos 2 A cos A, 0 , 360 , a. 0 ,90 ,180 , b. 0 ,120 ,240 , c. 90 ,270 , d. 0 ,180 , e. 22.5 ,112.5 ,202.5 ,292.5 8. 2 sin a cos a is equivalent to which of the following? a. cos 2a b. sin 2a c. tan 2a d. sin 9. Solve: tan x sin 2 x 2 tan x, 0,2 a. 0, b. 0, ,2 c. 0, 3 4 , d. 4 a 2 3 4 , 4 e. cos e. 0, 4 a 2 , , cos cot csc ? csc 2 10. Which of the following equals a. cos 2 b. csc 2 c. 1 sin 2 1 cot 2 d. cot 2 e. none of these 5 4
Pre-Calculus Honors Final Exam Review Chapter 6 Multiple Choice Questions 1. Given P( 4,8) and Q( 12,7) , find the component form of the vector . PQ a. 16, 1 b. 8, 1 c. 8,1 d. 8,1 e. 16, 1 d. 8, 5 e. 15, 2 2. Let u 7,1 and v 8,3 . Find v u . b. 15,2 a. 10,7 c. 1,4 3. Find the angle between the vectors 6,3 and 5, 3 to the nearest tenth of a degree. a. 77.8 b. 175.6 c. 87.8 e. 126.5 d. 185.6 4. Given P(3, 5) and Q( 8, 7) , find the component form of the vector . PQ a. 11,2 b. 8,1 d. 11, 2 c. 11,2 e. 8, 1 5. Given P(12,4) and Q( 4,6) , find the magnitude of the vector . PQ a. 2 17 b. 2 65 d. 2 17 e. 260 c. 2, 2 d. 2, 8 e. 8, 2 c. 2 7 d. 28 e. -28 d. 5 2 , 5 2 e. c. 258 6. Let u 8, 5 and v 10, 3 . Find v u . a. 18,2 b. 18, 2 7. Let u 3, 5 and v 4,8 . Find u v . b. 2 17 a. 52 8. Let u 5, 5 and find the unit vector in the direction of u. a. 1 , 1 5 2 5 2 b. 5,5 c. 1 2 , 1 2 1 2 , 9. Find the angle between the vectors 4,3 and 3,5 to the nearest tenth of a degree. a. 157.8 b. -157.8 c. 22.2 d. -22.2 e. 112.2 1 2
Chapter 7 Midterm Questions 2 x y 5 1. Solve the system 2 2 x y 25 A. ( 0 , -5) B. (4 , 3) C. (0 , -5) and (4 , 3) D. (3 , 4) E. (3 , 4) and (0 , 5) 2. A small business has an initial investment of 5000. The unit cost of the product is 21.60 and the selling price is 34.10. How many units must be sold to break even? A. 90 B. 200 C. 147 D. 400 E. 231 3. The solution to a system of equations represents: A. B. C. D. E. The zeros of each graph. The minimum or maximum of each graph. Where the graphs intersect. The y-intercepts of the graphs. Where the graphs have slopes of zero. 4. Two planes start from the same airport and fly in opposite directions. The second plane starts one half of an hour after the first plane, but its speed is 80kilometers per hour faster. Find the airspeed of each plane if two hours after the first plane departs the planes are 3200 kilometers apart. A. B. C. D. E. 800 km/hr, 880 km/hr 450 km/hr, 530 km/hr 200 km/hr, 280 km/hr 960 km/hr, 1040 km/hr 880 km/hr, 960 km/hr 5. How many liters of an 80% acid solution must be added to 10 liters of a 20% acid solution to get a 30% acid solution? A. 1 B. 2 C. 3 D. 4.5 E. 8 C. no solution D. (1, -1, 3) E. (2, 1, 5) x 2 y 3z 9 6. Solve the system x 3 y 4 2 x 5 y 5 z 17 A. (-1 , 3, 0) B. (1 , -1, 2) 7. Write the partial fraction decomposition for A. 1 2 x 3 x 2 B. 1.8 .8 x 3 x 2 C. x 7 x2 x 6 . 2 1 x 3 x 2 D. 5 1 x 3 x 2 E. 2 1 x 3 x 2
8. A total of 1520 a year is received in interest from three investments. The interest rates for the three investments are 5%, 7% and 8%. The 5% investment is half of the 7% investment and the 7% investment is 1500 less than the 8% investment. Find the amount in each investment. A. B. C. D. E. 3000 5%, 6000 at 7%, 7500 at 8% 11,200 at 5%, 5600 at 7%, 4100 at 8% 800 at 5%, 16000 at 7%, 17500 at 8% 4000 at 5%, 8000 at 7%, 9500 at 8% 10000 at 5%, 5000 at 7%, 6500 at 8% 9. Write the form of the partial fraction decomposition A. D. A x2 B ( x 1) 3 A B C x x 1 x( x 1) 6x 2 1 x 2 ( x 1) 3 B. A B C D E x x 2 ( x 1) ( x 1) 2 ( x 1) 3 E. A B C x 1 ( x 1) 2 ( x 1) 3 10. The first step in writing the partial fraction decomposition of A. factoring the numerator B. writing it as A B x 4 x 2 C. graphing to find all rational zeros D. graphing to find all asymptotes E. doing long division . Do not solve for the constants. C. A B x x 1 2 x 3 4 x 2 15 x 5 x 2 2x 8 .
Chapter 10 Multiple Choice Questions 1. Determine the focus y 2 6 y 8x 25 0 A. (-2 , -1) B. (-4 , -3) C. (0 , -3) D. (-2 , -5) E. (-2 , -3) 2. Write the equation of the ellipse in standard form x 2 4 y 2 6 x 8 y 9 0 . A. x 3 2 y 1 2 D. x 6 2 y 2 2 4 4 1 1 B. 1 1 E. x 3 2 y 1 2 1 x 3 2 4 1 1 4 2 y 1 1 1 C. x 3 2 y 1 2 16 4 1 3. Find the asymptotes of the following hyperbola: x 2 9 y 2 36 y 72 0 1 A. y x 2 3 1 B. y x 2 9 1 C. y x 2 9 1 D. y x 6 2 1 E. y x 2 3 D. ( 6, 2) E. ( 36, 2) D. (0, 2 2 ) E. (0, 2 ) 4. Find the vertices of the hyperbola in problem #5. A. (0, 4) C. (0, 2) B. ( 18, 2) y2 x2 5. Find the foci of the hyperbola 1 9 1 A. ( 10 , 0) B. ( 2 2 , 0) C. (0, 10 ) 6. Find the standard form of the ellipse having vertices (3 , 1) and (3 , 9) and minor axis of length 6. A. x 3 2 y 5 2 1 B. 6 8 2 2 x 3 y 5 1 D. 6 8 x 3 2 y 5 2 1 9 16 2 2 x 3 y 5 1 E. 3 4 C. x 3 2 y 5 2 1 C. y 1 2 x 3 2 1 9 16 7. Find the equation of the hyperbola with the following graph: x 3 2 y 1 2 1 9 16 y 1 2 x 3 2 1 D. 8 6 A. y 1 2 x 3 2 1 8 6 x 3 2 y 1 2 1 E. 6 8 B. 16 9 8. Find the standard form of the parabola having directrix x 1 and focus (5 , 1). A. D. y 1 2 3 x 2 x 2 2 12 y 1 B. E. y 1 2 12 x 2 y 2 2 12 x 1 C. x 2 3 y 1 2
9. Find the standard form of the parabola having the following graph: A. x 3 8 y 1 B. D. E. 2 y 3 8 x 1 y 1 2 2 x 3 x 3 2 2 y 1 C. x 3 8 y 1 2 10. Find the equation of the ellipse with the following graph: x 3 2 y 2 2 1 10 4 x 3 2 y 2 2 1 C. 5 2 A. B. D. x 3 2 25 x 3 2 y 2 2 10 4 2 y 2 1 4 1 E. x 3 2 y 2 2 100 16 1 11. Find equation of ellipse having center (-5 , 2) and foci (-8 , 2) and (-2, 2) and minor axis of length 8. 2 2 2 2 2 2 x 5 y 2 x 5 y 2 x 5 y 2 A. B. C. 1 1 1 25 16 73 64 8 5 x 5 2 y 2 2 1 E. x 5 2 y 2 2 1 D. 7 16 7 16
Pre-Calculus Honors Final Review 1. Given the infinite geometric series 2 A. 1 4 B. 1 2 B. cannot be simplified. 3 3. Evaluate 1 k 1 1 1 . the value of the common ratio is: 2 8 32 C. There isn’t a common ratio 2. Choose the expression equivalent to A. 2! Chapter 9 Multiple Choice Questions D. 2 E. 4 (n 2)! . (n)! C. (n 2) (n 1) 1 (n 2)(n 1) D. (n 2)(n 1) E. D. 6 E. 8 2k k 1 A. -14 B. -8 C. -6 2 4. Find the first term in the arithmetic sequence for which a19 42 and d . 3 2 A. 19 B. 54 C. D. -12 3 5. Find the 60th partial sum for the arithmetic series 9 14 19 . 304 . A. 346 C. 9390 D. 1 1 6. Find the fifth term in the geometric sequence 1, , , . 2 4 1 1 1 A. B. C. D. 2 2 16 7. Find the 4th term of the recursive sequence an 3an 1 2 where a1 A. 50 B. 304 B. 152 C. 458 E. 164 3 1256 E. 687 1 16 4 E. D. 14 1 32 E. none of these 8. Find the nth term of the sequence 1, 8, 27, 64, . . . . A. a n n 3 B. an 1 n 3 n C. an 1 n 1 n3 D. an 1 n 2 n E. an 1 n 1 9. Find the 4th term of the sequence an nx n 1 . A. 5x 4 B. 4x 4 C. 4x 3 D. 5x 5 10. Find the two-hundredth term, a 200 , of the sequence 1, 5, 9, 13, . . . . A. 797 B. 801 C. 805 11. What type of series is 32 16 8 4 2 1? A. Finite arithmetic series B. Finite geometric series C. Infinite arithmetic series D. Infinite geometric series E. None of these D. 809 E. 4x 2 E. none of these n2
Pre-Calculus Honors x 1. lim x 0 x 1 1 a. 0 b. -1 Chapter 12 Multiple Choice Questions c. 1 d. 2 e. does not exist 1 2 d. 3 e. does not exist b. 3 c. 0 d. b. 0 c. 1 4 d. 1 2 e. does not exist 1 4 c. 1 2 d. 1 16 e. does not exist x 1 x 2x 3 2. lim 2 x 1 a. Final Exam Review 1 3 b. 1 4 c. 7 x 3 3. lim x 3 a. 7 7 3 e. does not exist 1 1 4. lim x 2 4 x 2 x 2 a. - 1 16 x 2 x 2 5. lim x 4 x 4 a. 0 b. 6. lim x 3 x 3 27 x 3 a. 27 b. 9 c. -9 b. 0 c. d. 0 e. does not exist 1 8 e. does not exist d. -2 e. does not exist 9 e. does not exist 4 18 x x 2 7. lim x 2 a. -2 1 2 d. x 1 , x 2 8. lim f ( x) x 2 2 x 3 , x 2 a. 2 9. b. 1 sin 3x x lim x a. c. 3 3 6 b. 6 c. 6 d.
10. lim x 5 a. 5 x x 2 25 1 5 11. lim x 16 a. b. -5 c. 1 8 c. 4 1 10 d. 1 5 e. does not exist 4 x x 16 1 4 b. - d. 1 4 e. does not exist 20. Find the difference quotient for f ( x) 5x 2 3x 2 . a. 10 x 3 b. 10 x 5h 3 c. 10 x 3h d. 5xh 3xh 2h e. 5xh 3h c. 2 x 4h d. 4 x 6h 7 e. 2 x h b. 0 c. 1 d. b. 0 c. 1 d. 5 b. 0 c. 1 d. a. does not exist 3 26. lim 8 x x b. 0 c. -4 d. 5 e. 1 a. does not exist b. 0 c. 11 d. 8 e. 3 b. 0 c. -5 d. -4 e. 5 21. Find the difference quotient for f ( x) 2 x 2 4 x 7 . a. 4 x 4 22. lim x b. 4 x 2h 4 8x 4 10 x 2 3 a. does not exist 23. lim x x 2x 2 4 x n 5 2 2x 2 1 25. lim 5 lim e. 5x 3 2 a. does not exist 27. e. 8 5x 2 1 a. does not exist 24. lim 4 5 e. -5 4 x2 1 3n 5 2 2 a. does not exist 5n n 2
28. Find the limit of the sequence a n a. does not exist b. 0 n2 5n 3 1 c. 1 5 d. 1 e. 5 1 3 d. 1 e. 3 d. e. does not exist n2 29. Find the limit of the sequence a n 3n 2 a. does not exist 30. a. 1 lim b. 0 c. x 5 x 5 x 5 b. -1 c. 0
Pre-Calculus Honors Final Exam Review Chapter 1 Chapter 1 Multiple Choice Questions 1. Solve for x: 2x2 3 2x A. 2 1r 5 B. 2 1r 5 C. 2 1r 7 D. 2 1r 7 E. 2 1r 2 7 2. Compare the graph of t( ) x 2 with s( )x 2. A. t is obtained by reflecting s over the x-axis B. t is obtained by reflecting s over the y-axis
Final Exam Answers just a click away ECO 372 Final Exam ECO 561 Final Exam FIN 571 Final Exam FIN 571 Connect Problems FIN 575 Final Exam LAW 421 Final Exam ACC 291 Final Exam . LDR 531 Final Exam MKT 571 Final Exam QNT 561 Final Exam OPS 571
Pre-Calculus . The Pre-Calculus End-of-Course assessment is designed to measure student proficiency of the Common Core State Standards pertaining to Pre-Calculus. This course-level assessment is provided to all students who have completed Pre-Calculus or related courses. EOC Assessment Aligns to the Following Course Codes: 2053 - Pre-Calculus
Honors Calculus and AP Calculus AB Readiness Summer Review This package is intended to help you prepare you for Honors Calculus and/or AP Calculus AB course this next fall by reviewing prerequisite algebra and pre-calculus skills. You can use online resources to review the learned concepts as well as your class notes from previous years.
3 Honors 101 First-Year Seminars 7 Honors 210G Intermediate Seminars 9 Honors 290-level Courses 14 Honors 380 Junior Colloquia. Spring 2021 Visit honors.umb.edu or call 617.287.5520 for more information 3 Honors 101 First-Year Seminars for Spring 2021 Honors 101 (1): Lions & Tigers & Bears, Oh My! .
There are certain skills that you have learned in your previous math courses that you need mastery of moving into Pre Calculus. We have a summer assignment that is intended to help you brush up on these topics. There are two parts to your Pre Calculus Summer Assignment. Part 1: Memorization and Part 2: Pre Calculus Honors Summer Skills Packet.
So you can help us find X Teacher/Class Room Pre-Algebra C-20 Mrs. Hernandez Pre-Algebra C-14 . Kalscheur Accelerated Math C-15 Mrs. Khan Honors Algebra 2 Honors Geometry A-21 Mrs. King Math 7 Algebra 1 Honors Algebra 1 C-19 Mrs. Looft Honors Algebra C-16 Mr. Marsh Algebra 1 Honors Geometry A-24 Mrs. Powers Honors Pre-Algebra C-18 Mr. Sellaro .
Honors Pre-Calculus Summer Preparation Welcome to Honors Pre-Calculus! We look forward to working with you during the 2021 - 2022 school year. While you are . If you have questions or concerns, you can reach out to Mrs. Luksic (luksicde@delawarecityschools.net) by email.
Past exam papers from June 2019 GRADE 8 1. Afrikaans P2 Exam and Memo 2. Afrikaans P3 Exam 3. Creative Arts - Drama Exam 4. Creative Arts - Visual Arts Exam 5. English P1 Exam 6. English P3 Exam 7. EMS P1 Exam and Memo 8. EMS P2 Exam and Memo 9. Life Orientation Exam 10. Math P1 Exam 11. Social Science P1 Exam and Memo 12.
