Unit 6 Review: Rational Expressions

Simplifying Rational Expressions

100

(5x^2)/(20x^2+120x)

x/(4(x+6))

200

21/(7x+42)

3/(x+6)

300

(x^2-9)/(7x-21)

(x+3)/7

400

(x^2+2x-35)/(x^2+9x+14)

(x-5)/(x+2)

500

(x^2-16)/(x^2+13x+36)

(x-4)/(x+9)

Adding Rational Expressions

100

(3x + 6)/(8x^2) + (2x - 8)/(8x^2)

(5x - 2)/(8x^2)

200

(7x - 2)/(6x) + (-3x + 1)/(x)

(-11x + 4)/(6x)

300

(3x)/(x - 3) + 5/(x^2 - 9)

(3x^2 + 9x + 5)/((x + 3)(x - 3))

400

(1)/(x^2 - 10x + 24) + (2x)/(x - 6)

(2x^2 -8x + 1)/((x-6)(x-4))

500

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

(7x^2 + 2x - 4)/((x - 2)(x + 5))

Subtracting Rational Expressions

100

(7x + 4)/(3x^3 + 17) - (2x)/(3x^3 + 17)

(5x + 4)/(3x^3 + 17)

200

A rational is a ______________. 

Fraction!

300

5/(x - 5) - (5x)

(-5x^2 + 25x + 5)/(x - 5)

400

(1)/(x^2 - 10x + 24) - (2x)/(x - 6)

(-2x^2 + 8x + 1)/((x-6)(x-4))

500

(5x + 7)/(x - 2) - (1)/(x^2 - 9x + 14)

(5x^2 - 28x - 50)/((x - 2)(x - 7))

Multiplying Rational Expressions

100

3/10 * 2/8

3/40

200

2/(x - 7) * (9x + 99)/(x + 11)

18/(x - 7)

300

(x^2+10x+16)/(x + 2) * 10/(x^2-2x-8)

(10(x + 8))/((x - 4)(x + 2))

400

(x^2 + 19x + 84)/(x^2 - 144) * (4)/(x+7)

4/(x-12)

500

(45x^3-81x^2)/(x^2-11x+28)*(x-7)/(35x^2-63x)

9/(7(x-4)

Dividing Rational Expressions

100

What is the first step to dividing rational expressions?

Flip the second expression and change into a multiplication problem. 

200

(6x)/(x + 10) ÷(6x)/(2x + 20)

2

300

(x^2+x-42)/3 ÷ (x^2 - 36)/(3x)

(x(x+7))/(x+6)

400

(9x^2 + 36x)/(x + 13x + 36) ÷ (9x)/(x + 9)

1

500

(3x^2-15x)/(x+7)÷(2x^2-10x)/(x^2-49)

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