algebra ii honors study guide

Download Algebra ii honors study guide

If you can't read please download the document

Upload: morrobea

Post on 21-Jun-2015

28 views

Category:

Technology


1 download

TRANSCRIPT

  • 1. 7 1 , , 3 1. Use a real number line to order the numbers 2 21 F I=1 GJ HK 1414 2. State the property that is illustrated.2 3. Evaluate 4rs + ( rs) 2r when r = 2 and s = 5. 3 3 4. Evaluate 2a + (2a ) when a = 3.5. Solve0=8 y 64 156. Solve the equation. 5(3 4 x ) = 7 (4 x ) 2 7. Solve for q p q 3q = 145 ( F 32) 8. Solve for F C = 9 9. A rectangle is 5 feet longer than it is wide. The perimeter of the rectangle is 34 feet. What is the length of the rectangle? 10. Solve 5x 10 < 1511. Isx=5 2 a solution of the inequality 5x 4 3( x 7) ?12. Solve 6 3x 15 12 13. Solve the inequality. Then graph your solution. 2 x 3 514. Solve x 4 3 15. Is the relation4 b , , r m, 2gb5, 2gb6, 2ga function?

2. 16. FindF 1I. G3J f ( x) = 18x HKf 2 12 x 317. Line 1 contains (2, 4) and (0, 2). Line 2 contains (4, 5) and (1, 6). Are the lines parallel, perpendicular, or neither? 18. Graph the linear equation by finding x- and y-intercepts. 2x 4 y = 819. Graph the line.y=3 x2 420. Write the equation of the line, in slope-intercept form, that passes through the point ( 2, 2) and has slope 3 . 21. Write the equation in slope-intercept form. Then identify the slope and y-intercept. 18 x 42 y = 24 22. For the following data A. Make a scatter plot of the data. B. Approximate the best fitting line for the data. C. Find an equation of your line of best fit. x 1 2 3 4 5 6 7 8 y 175 4.1 4.95 7 815 111 1195 14 . . . . 3. yx 23. Graph 3x 4 y > 12 24. Is the ordered pair (2, 1) a solution for the inequality 5x 3 y 10 ? 2 4 y> 3 25. Graph the inequality in a coordinate plane. 326. Graph the inequality in a coordinate plane.y2 x2 3 4. 27. Graph the function. f ( x ) = x + 328. Graph the equation. y = x + 2 2f ( x) = 29. Graph the function y 1010 x10[A]10Rx + 2, x 0 S3x 1, x < 0 T 5. y 1010 x10 10[B]y 1010 x10 10[C]y 1010 x10[D]10x+ y= 4 30. Graph the linear system and estimate the solution 3x y = 8 31. The drama club sold 1500 tickets for the end-of-year performance. Admission prices were $12 for adults and $6 for students. The total amount collected at the box office was $16,200. How many students attended the play? 32. Solve the system. 3x + 4y = 3 2x + y = 8 33. Ace Rent a Car charges a flat fee of $15 and $0.20 a mile for their cars. Acme Rent a Car charges a flat fee of $28 and $0.12 a mile for their cars. Use the following model to find out after how many miles Ace Rent a Car becomes more expensive than Acme Rent a Car. c = 15 + 0.2m Ace c = 28 + 012m Acme . 6. 34. Graph the system of inequalities y 2 x 3 y x3 35. Graph the system of inequalities y 7 y < 4 36. Solve the system of equations x + y + z = 5 2 x y + z = 15 x 2y z = 6 2 37. Does the parabola open up or down? y = 4 + 6 x 2 x 2 38. Graph y = x + 4 2 39. Sketch the graph of the equation. y = x 2 x + 3Factor the expression 2 40. x + 6 x + 9 2 41. 8 x 25 + 10 x42. The height of a triangle is three feet longer than the base. The area of the triangle is 35 square feet. Find the height and base of the triangle. 2 43. Find the zeros of the equation. x + 2 x 15 = y 244. Solve for x 5 x = 405 2 2 45. Solve the equation. x 7 = 14 2 x 7. 2 46. The height, h (in feet), of a falling object on Mars is given by h = 6t + s , where t is the time in seconds and s is the initial height in feet. If an object were dropped from a height of 237 feet, how long would it take to travel half the distance to the ground? (Round to two decimal places.) 2 47. Solve the equation. 2 x + x + 3 = 0Write the expression as a complex number in standard form. 48. (2i )(1 4i )(1 + i ) 49. (5 2i ) 2(3 + i ) 2 50. Solve the equation by completing the square. x + 2 x 24 = 0 8. Reference [1.1.1.5] 7 21 2 4 3 2 1 0 1 2 3 4[1]Reference [1.1.2.17] [2] Inverse property of multiplicationReference [1.2.1.22] [3] 42Reference [1.2.1.35] [4] 270Reference [1.3.1.41] [5] 120Reference [1.3.1.43] 4 x= 7 [6]Reference [1.4.1.59] 14 q= 2 p 3 [7]Reference [1.4.2.62] 9 C + 32 [8] F = 5 9. Reference [1.5.2.75] [9] 11 feetReference [1.6.1.78] [10] x < 5Reference [1.6.1.84] [11] NoReference [1.6.2.87] [12] 3 x 9Reference [1.7.1.95] [13] 1 x 4 0 1 2 34 5 6 x 21Reference [1.7.1.92] [14] x 1 or x 7Reference [2.1.1.3] [15] YesReference [2.1.2.10] [16] 3 10. Reference [2.2.1.27] [17] PerpendicularReference [2.3.1.30] 10y1010x10[18]Reference [2.3.1.38] 1 3 2 1134 5[19]Reference [2.4.1.46] [20] y = 3x 8Reference [2.4.1.50] 3 4 3 4 y= x 7 7 ; Slope 7 ; y-intercept (0, 7 ) [21] 11. Reference [2.5.2.72] yx[22] . y = 175xReference [2.6.1.76] y10101010[23]Reference [2.6.1.79] [24] NoReference [2.6.1.85] y 3 2 1 3 2 1[25]31 2 3xx 12. Reference [2.6.1.84] 1 3 2 11x33 4 5[26]Reference [2.8.1.109] f(x) 5 41 6 5 4 3 2x1[27]Reference [2.8.1.120] y 3 2 1 51 x2 2 3[28]Reference [2.7.1.90] [29] [B] Reference [3.1.1.1] 13. 10y10[30] 1, 5b gx1010x10Reference [3.1.2.18] [31] 300Reference [3.2.1.28] [32] (7, 6)Reference [3.2.2.33] [33] after 163 milesReference [3.3.1.43] 1010[34]10y 14. Reference [3.3.1.47] y1010x1010x10[35]Reference [3.6.1.77] [36] (6, 1, 2)Reference [5.1.1.5] [37] DownReference [5.1.1.1] y1010[38]10Reference [5.1.1.11] 15. y3 2(1, 2)1 21234x[39]Reference [5.2.1.26] 2 [40] ( x + 3)Reference [5.2.1.27] [41] (2 x + 5)(4 x 5)Reference [5.2.1.35] [42] Height 10 ft; Base 7 ftReference [5.2.2.39] [43] 5, 3Reference [5.3.1.44] [44] 9Reference [5.3.1.49] [45] 7Reference [5.3.2.56] [46] 4.44 seconds 16. Reference [5.4.1.63] 1 i 23 4 [47] 4Reference [5.4.1.80] [48] 6 + 10iReference [5.4.1.75] [49] 1 4iReference [5.5.1.102] [50] 6, 4