Unit 3B Test review Answers | Winston-Salem Forsyth County Schools - Edubirdie

University:
Winston-Salem Forsyth County Schools
Course:
AP Calculus AB
Academic year:

2014
Views:

109

Pages:

2
Author:

Haylie Hunt

I. Simplify 1. (7x² - 8x⁴) + (4x³ - 6x²) -8x⁴ + 4x³ - 3x² - 8 2. (5c² + 3) - (9 - c²/R²) 5c² - (-c²) + 3 - 9 6c² - 6 3. (3u - 3x)(3u + 3) 9u² - 9x² 4. (3d - 7)(4d + 2) 12d² + 6d - 28d - 14 12d² - 22d - 14 II. Factor Completely 5. 4x² + 10x² 2x²(2 + 5x) 6. 16x² - 25 (4x + 5)(4x - 5) 7. 10x³ + 4x² - 15x - 6 2x²(5x + 2) - 3(5x + 2) (2x² - 3)(5x + 2) 8. d³ + 2d - 24 (d - 4)(d + 6) 9. c² - 10c + 21 (c - 7)(c - 3) 10. 8a² - 2a - 3 (4a - 3)(2a + 1) III. Solve by Factoring 11. 2x² - 16x = 0 2x(x - 8) = 0 x = 0, x = 8 12. x² + 6x - 7 = 0 (x + 7)(x - 1) = 0 x = -7, x = 1 13. 15x² + 13x + 2 = 0 (5x + 1)(3x + 2) = 0 x = -1/5, x = -2/3 14. 2x² + 3x - 20 = 0 (x + 4)(2x - 5) = 0 x = -4, x = 5/2 IV. Solve by using the Quadratic Formula 15. 3x² - 10x + 5 = 0 x = (10 ± √(100 - 60)) / 6 x = (10 ± 2√10) / 6 x = (5 ± √10) / 3 16. 6x² + 3x + 7 = 2x² - 5x + 4 4x² + 8x + 3 = 0 x = (-8 ± √(64 - 48)) / 8 x = (-8 ± 4) / 8 x = -1/2 Textual Content: 17. f(x) = 2(x + 7)³ - 15 Direction of opening: Down Vertex: (-7, -15) Axis of Symmetry: x = -7 y-intercept: (0, -113) x-intercepts: (-2, 0) 18. y = x² + 2x - 8 Direction of opening: Up y-intercept: (0, -8) Axis of Symmetry: x = -1 Vertex: (-1, -9) x-intercepts: (-4, 0) and (2, 0) 19. (Continued) a. Quadratic equation: y = -0.01110x² + 1.06x + 0.242 b. Predict height at 80 meters: 13.961 meters c. Predict distance at 22 meters: 29.903 meters and 65.544 meters 20. (Continued) a. Maximum height: 67 feet b. Time to reach maximum height: 2 seconds c. Time to hit the ground: 4.046 seconds d. Height at 4 seconds: 3 feet e. Time when ball is 45 feet high: 0.827 seconds and 3.173 seconds

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