Download 1. Determine the slope of the following graph. 6. Graph x

Algebra 2 First Semester Exam Review 2015
Form 1
1. Determine the slope of the following graph.
2. 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.
3. 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.
𝑥 − 2 𝑖𝑓 𝑥 > 4
𝑓(𝑥) = {
|3𝑥| 𝑖𝑓 𝑥 ≤ 4
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 7
ft/sec2. Using h = -16t2 + v0t + h0, find Jack’s maximum height.