Math 115 Sections 1.5, 1.6, and 2.1

Factoring

100

Factor the following completely

3x^2 +12

3(x^2+4)

200

Factor the following completely

x^2+2x-8

(x+4)(x-2)

300

Factoring the follwowing completely

16x^2-100

4(2x-5)(2x+5)

400

Factor the following completely

2x^2+9a-18

(2x-3)(x+6)

500

Factor the following completely

36x^2+84xy+49y^2

(6x+7y)^2

Rational Expressions

100

Determine the x-value for which the following rational expression is undefined. 

(2x-1)/(x+5

x=-5

200

Simplify the following rational expression

(x^2-9)/(x^2+4x+3)

(x-3)/(x+1)

300

Perform the indicated operation

(6x^2-x+20)/(x^2-81)-(5x^2+11x-7)/(x^2-81

(x-3)/(x+9

400

Perform the indicated operation

(2x^2+x-6)/(x^2-1)÷ (x^2-4)/(x^2+2x+1)

((2x-3)(x+1))/((x-1)(x-2))

500

Perform the indicated operation

(y^2-5y)/(y^2-4)-(6y-6)/(4-y^2

(y+3)/(y+2

Solving Equations

100

What are the 3 classifications for equations?

Conditional

Identity

Contradiction 

200

Solve the following equation

4x-3=5

x=2

300

Solve the following equation

12-5(x+3)=-5x-5

No Solution

400

Solve the following equation

1/4-1/3x=2/3

x=-5/4

500

State all x-values that are excluded from the solution set of the rational equation, and solve the equation.

-6-5/(x+2)=(x+4)/(x+2)

x≠-2

x=-3