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
c.
5 1 4x
x 3x
3
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
f (x)
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
(CCA2 4-65).
a.
3x + 2 ≥ x − 6
b.
2x2 − 5x < 12
6. Evaluate the following rational expressions. Then simplify your expression, if possible (CCA2 4-69).
a.
