Rational Functions

Simplifying Rational Functions

100

(25x^2)/(10x)÷(5x)/(10x)

5x^2

200

(x^2–1)/x ÷ (3x–3)/2x

2(x+1)/3

300

x+1/x^3(3–x) ÷ 5/x(x–3)

–(x+1/5x^2)

400

4x^2+x–3 • 1/(4x+3)(x–1)

(4x–3)(x+1)/(4x+3)(x–1)

500

(2x^2/3 • 5/x) ÷ 6x^2/25

125/9x

Pigott Stew

100

How long have I been attending berkeley carroll?

since kindergarten

300

What college do I want to go to?

Columbia

Adding and Subtracting Rational Expressions

100

5x/x+4 + 20/4+x

5

200

(x–2)/(2x–10) + (x+3)/(x–5)

3x+4/2(x–5)

300

3x+10/7x–4 – x/4x+3

5x^2+53x+30/(7x–4)(4x+3)

400

(2x+1)/(3x–1) – (x+4)/(x–2)

–(x^2+14x–2 ÷ (3x–1)(x–2))

500

2/(x+1) + 3/(x–2) + 3/(x+4)

2(4x^2+8x–5)/(x+1)(x–2)(x+4)

solve rational equations

100

(x/10) = (14/5)

28

200

(56/x) = (9–x/2)

no solution

300

-3x/x+1 = -2/x–1

-1/3 , 2

400

(2/x+3) + 1/x = 4/3x

3/5

500

(2x/x+3) – (x/x+7) = x^2–1/x^2+10x+21

-1/11

Pigott Stew continued

100

What exact time was I born at and on what day?

12:00 noon on 9/22/98

200

What is my middle name?

Robert

300

What is the average time in which I commence my slumber?

10:15

400

What is my favorite first name, and do I know someone with this name (hint: outer space related)?

GALAXY and yes

500

What is my father's confirmation name?

Peter/Patrick