i

Algebra of Polynomials. Calculate:

A) (2x+x+5)+(x+x+10)

B) (x-1)(x+1)

Calculate the following:

A) (x-1)(x+1)

B) (x+1-2)

C) (x+1+1)

Factor the following polynomials as much as you can:

A) x - 1 , x - 9

Factoring. Pull out the common factors in each expression:

A) 4(x - 3)x(x + 2) + (x - 5)(x - 3) + (2x - 6)

B) x(x + 2) + x(x+2)

Factor the following degree 2 polynomials:

A) x +6x+9

B) x -x-6

C) x -2x-8

ii

Solve for x in the following linear equations:

A) 4x + 1 = 3

B) 3x + 2 = x + 1

In related rates problems in Calculus I one frequently has to express a variable in terms of another variable. Here is an example: Express the surface area of the box below in terms of its width (w), length (l) and height (h). Then solve for the width in terms of the other variables.

W