Algebra 2 - Chapter 9 (Rational Expressions)

Simplifying

100

(3x^2)/(12x

x/4

200

(x^2+2x-15)/(25-x^2)

(x-3)/(5-x

300

(4x^2y^5)/(6x^3y^-1)

(2y^6)/(3x)

400

(a^4-b^4)/((a+b)(a^2+b^2))

(a-b)

500

(x^3-4x^2+10x-40)/(16-x^2)

-(x^2+10)/(4+x) or (-x^2-10)/(4+x) or (x^2+10)/(-4-x)

Adding/Subtracting Fractions

100

5/x+7/(2y)

(10y+7x)/(2xy)

200

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

(7x+2)/((x-1)(x+2))

300

2/(3x-7)+5/(7-3x)

(-3)/(3x-7) or 3/(7-3x) or -3/(3x-7)

400

1/(x^2-16)+1/(2x+8)

(x-2)/(2(x-4)(x+4)

500

x/(x-4)-32/(x^2-16)

(x+8)/(x+4)

Fraction Equations

100

What values of x are the restrictions for the following fraction equation:

(x+3)/x+(5x)/(x+7)=8/x

x cannot equal 0 and -7

200

Solve for x:

(4x)/(x-3)=2+12/(x-3)

No Solution

300

Solve for x:

6/(x^2-64)+3/(x-8)=9/(x+8)

x = 17

400

Solve for x:

4/(x-7)+2/(x+7)=26/(x^2-49)

x = 2

500

Solve for x:

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

x = 3/2

x = -1

Random

100

What is the only mammal capable of flying?

Bat

200

Curry is a famous dish from which country?

India

300

The line "To be or not to be" comes from which Shakespeare play?

Hamlet

400

What is the name of the scale used to measure the spiciness of peppers?

Scoville

500

Name the US state with the smallest area.

AND

Name the US state with the largest area.

(You must get both correct)

Rhode Island and Alaska

Complex Fractions

100

(3/4+5/6)/(1/2-1/12)

19/5

200

(3/x+2)/(5/x)

(3+2x)/5

300

(2/x+3/y)/(4/x^2+6/(xy)

x/2

400

(1-x/7)/(1/7-1/x)

-x

500

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

(x+1)/x