Station A: Linear Functions:

Solve each equation. 2.

3. Solve for the specified variable:

1.

4. Write an equation in slope-intercept form for the line passing through the pair of points:

(-2, 4) and (0,8)

Station B: Systems of Equations/Inequalities:

Solve by substitution or elimination: 2.

3. Solve the system of equations:

2x – z = 143x – y + 5z = 04x + 2y + 3z = -2

1.

4. Find the inverse of the matrix:

5x – 2y = 4-2y + x = 12

Solve by graphing:

5y + 2x < 204x + 3y > 12

Station C: Quadratic Functions:

Solve by graphing: 2.

3. a. Solve: 2x2 + 50 = 0

b. Simplify:

1.

4. Write in vertex form, then identify the vertex, axis of symmetry, and direction of opening:

y = 2x2 + 12x - 8

X2 – 6x + 4 = 0

Solve by your choice (graphing, quadratic formula, completing the square, quadratic formula):

4x2 + x = 3

Station D: Polynomial Functions:

2.

3.

a. Factor completely: 54x3y – 16y4

b. Solve: x3 + 2x2 – 35x = 0

1. Simplify the expressions:

a. (-4a3b5)(5ab3)

b. 3b(2b – 1) + 2b(b + 3)

Simplify:

6y3 + 13y2 – 10y – 24 ÷ (y + 2)

4. Find all of the zeros of the function:

p(x) = x3 – 4x2 + x + 6

Station E: Inverse and Radical Functions:

2.

3. Solve the equation:

1. Determine if the functions are inverses (prove)

f(x) = 3x + 8, g(x) =

f(x) = 3x + 2 g(x) = x2 – 2x + 1

Find (f g)(x)

4. Simplify:

Station F: Exponential & Logarithmic Functions:

2.

3. Solve the equation:

2log3 x + log3 3 = log3 36

1. Solve the equation:

9x-2 >

Solve the equation:

log2 (x2 – 18) = log2 (-3x)

4. Solve the inequality:

2 + ex > 9

Station G: Rational Functions:

2.

3. Solve the equation:

1. Simplify:

Simplify: