Honors Algebra 2 Final Exam Review
Ch 1
Write an equation to solve each problem.
1) What two consecutive numbers have a sum of 53?
3) The length of a rectangle is 5 centimeters greater than its width. The perimeter is 58 centimeters. What are the dimensions of the rectangle?
Solve each equation or inequality.
Ch 2
Write the equation of the line in slope-intercept form from the given information.
13. and the y-intercept is 3 15. slope = -5; (-3, -12)
17. through (-5, 6) and (3, -10) 19. perpendicular to through (6, 3)
Describe the transformation of parent function x.
21. g(x) = x+ 2
23. g(x) = 3.4x
Graph each of the following:
25.
27.
Ch 3
Solve each system by substitution or elimination.
29.
31. Solve by substitution.
33. Use Linear Programming to find the maximum value.
35. Solve
Ch 4
Graph each function. Identify the vertex, axis of symmetry, minimum/maximum value and domain and range of each function.
37. y = (x + 3)2 + 1
Describe each transformation of the parent function .
39.
41.
Solve each equation by factoring.
43. 45. x4 - 9x2 + 14 = 0
47. x3 - 5x2 + 4x = 0
Solve each equation by completing the square.
49. 51.
Solve using the quadratic formula.
53. x2 + 2x –24 = 0 55.
Simplify.
57. (-6 + 7i) + (6 - 7i) 59. (4 - 3i)(-5 + 4i)
61. (-2i)(5i)(-i) 63.
65.
Ch 5
Use synthetic division and the given factor to completely factor each polynomial function.
67. y = x3 - 3x2 - 10x + 24; (x - 2)
Use the Rational Zero Theorem to find all roots.
69. 39. P(x) = 2x3 + 13x2 + 17x - 12
Write a polynomial function with rational coefficients so that P(x) = 0 has the given roots.
71. -5 and 3i
Simplify. Rationalize all denominators.
73. 75.
77. Write in radical form 79. Write in exponential form.
Simplify each expression. Assume that all variables are positive.
81.