Algebra 2 First Semester Exam Review 2015Form 1

  1. Determine the slope of the following graph.
  1. The drama club sold 500 tickets to its play. Adult ticket prices were $21 and student ticket prices were $15. The drama club collected $48610 from ticket sales. Write a system of equations to represents the number of adult and student tickets sold.
  1. Find the inverse of

6. Graph x -3y <6 and x + 2y ≤ 3

8. Solve the following system for x.x + y = 5

2x – 6y = -14

9. Solve the following system for y.y = 2x – 1

y = 4x + 7

10. Solve the following system for z.x + 2y + 4z = 16

x – 2y + 5z = 15

4x - 4y – 3z = -5

Use the piecewise function for numbers 11 and 12.

11. Evaluate f(2).

12. Find f(x) when x = 4.

13. Solve the following. 2|x - 1| + 6 < 12

14. Solve for all possible solutions 4|x + 2| = 28.

15. Find f[g(x)] if f(x) = 3x + 1 and g(x) = 5x – 2.

Use f(x) = x2 + 3 and g(x) = 5x for numbers 16 and 17.

16. Evaluate (f + g)(-3).

17. Find f(g(2)).

18. What is the inverse of the function y = 3x – 2?

20. If f(x) = x + 2 and g(x) = x – 3, find (f·g)(x).

21. Describe the transformation of the graph of y = |x| to the graph of y = -5|x + 2| - 6.

22. The graph of y = |x| is shifted 5 units down, right 3 and vertically stretched by a factor of 1/2. Write an equation to represent the graph of the new function.

24. Describe the transformation of the graph of y = x2 to the graph of y = 3(x-1)2 – 5.

25. The x-intercepts of the graph of a quadratic equation are also called ______, ______and ______.

26. The line that divides a parabola into two parts that are mirror images is called ______.

27. The ______tells what kind and how many solutions a quadratic equation has.

28. Using the equation y = (x-3)2 + 2, find the vertex and A.O.S. (axis of symmetry.)

29. Factor completely. x2– 16x + 64

30. Factor completely. 81x2 – 121y4

A. (x – 8)(y – 7) B. (8x – 7y2)(8x – 7y2) C. 64(x2 – 49y4)D. (8x – 7y2)(8x + 7y2)

31. Solve. x2-6x + 9 = 1

32. Solve. x2 + 5x – 8 = 0

33.Jack dives into a pool from a 5 foot high springboard, with an initial upward velocity of 7ft/sec2. Using h = -16t2 + v0t + h0, find Jack’s maximum height.