Math

Algebra 2 - Final Exam Review #___-____ Name _________________________________
(Fall 2005 – Genord)
Date __________________________________
Complete the work on notebook paper and not on this worksheet and circle you answers.

  *   *   *   *   *   *   *   *   *   *   *   *   *   NO CALCULATOR SECTION   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *  

1.   Write the equation of the in slope-intercept form for the line that has a y-intercept (0, –2) and is perpendicular to the line 2x + 5y = 5.

2.   Write the equation of the in slope-intercept form for the line that is parallel to the line 4x – 8y = 0 and goes through the point (–6, 7).

3-4.   Determine whether y-varies directly as x. If so write the equation. If not explain why.
3.   4.  
x   | –8 | –2 |   4 | 12 |
y   | –4 | –1 |   2 | 6 |
x   | 2 | 3 | 4 | 5 |
y   | 5 | 7 | 8 | 11 |



5-6.   Simplify the expression, assume that no variables equal zero. Write answer with positive exponents.
5.   (3a–5b8)4(–2a2b–3c)3 6.   m–1n2   5
      m–3n

7.   Write the inverse function equation of   f(x)=   ½x – 5.

8.   Find the inverse for the following relation and determine whether the inverse is a function.  
{(–2,3), (1, 9), (15, 3), (–6,–3)}

9-10.   Find the solution to the system:
9.     y = –3x + 8 10.     3x – 4y = 16
      2x + 4x = 42         2x + 5y = 3

11-12.   Factor completely.  
11.   3x2 – 6x + 12 12.   x2 + 21x + 80

13-14.   Find the zeros of the quadratic function.
13.   f(x) = x2 – 5x – 36 14.   g(x) = 2x2 – 7x + 3

15.   Determine whether the quadratic opens up or down, then determine if it has a maximum or minimum value.   f(x) = –(x + 2)(x + 3).

16.   What is the exact value of x if 3x = 57 A)   log 57 B)       57   C)     log 3   D)       3    
        log 3       log 3       log 57       log 57

17-19.   Evaluate the logarithm.
17.   log5 625 18.   Evaluate log9 3 19.   log2 (¼)

20.   Write the expression as a single logarithm....