1. Solve each equation below, if possible, using any strategy. State the strategy you used for each part. Be sure to check your solutions (Remember: solving strategies may include graphing, algebraic strategies, etc.!)
a. 4 8x 2 8
b. 3 4x 8 9 15
5 1 4x
2. The function graphed at right is y (x 3)2 5 . Use this graph
(x + 3)2 − 5 = 4. (Hint: What did the 4 in the to solve the equation
the equation? equation replace? How did the graph help you solve
3. Jack was working on solving an equation and he graphed the functions
12 and g(x) = −(x − 3)2 + 4, as shown at right. x a. What equation was Jack solving?
b. Use points A and B to solve the equation you wrote in part (a).
c. Are there any other solutions to this same equation that are represented by neither point A nor point B? If so, show that these other solutions make your equation true.
4. In class today, you solved the following system of equations by graphing:
x 2 y 2 25 y x 2 13
. Now, solve the
system of equations algebraically and show all of your steps. (Hint: Solve the 2nd equation for x 2 first)!
5. Solve each of the following inequalities. Show all work and clearly show the solution regions on a number line
3x + 2 ≥ x − 6
2x2 − 5x < 12
6. Evaluate the following rational expressions. Then simplify your expression, if possible (CCA2 4-69).
7. Three red rods are 2