Algebra 2 Rational Expressions Review

simplifying rational

100

Simplify: (2a² +10a) / (3a² + 15a)

2/3 

200

(x²+x−6) / (x² +8x+15)

(x-2) / (x+5) 

300

(3x² - 13x - 30) / (18x² - 50)

(x-6) / 2(3x-5) 

400

(8x² - 46x + 45) / (4x² - 17x + 5)

(2x-9) / (x-3) 

Multiplying and Dividing

100

(7x / (2x - 10)) divided by (x² - 6x) / (x² - 11x + 30)

7/2 

200

(6x² + x - 15) / 4x² divided by (3x² + 5x)

(2x-3) / 4x³

 

300

(x² - 3x) / (x - 2) TIMES (x² + x - 6) / x

x²-9 

400

((4x+20) / x² ) TIMES ((x²+x) / (2x+10))

2(x+1) / x

500

(4x² + 20x) / (x³ + 4x²) TIMES (x² + 8x + 16) / (8x² + 36x - 20)

(x+4)  / (2x²-x) 

Addition and Subtraction

100

(5x / (x + 3)) + (15 / (x + 3))

5 

200

(x² / (x + 5)) + ((7x + 10) / (x + 5))

x + 2

300

((x + 6) / (x² - x - 20)) + ((2x - 21) / (x² - x - 20))

3 / (x + 4)

400

((4x - 7) / (x² - 25)) - ((3x - 2) / (x² - 25))

1 / (x + 5)

500

((6y - 6) / (y² + 4y - 12)) - ((y +4) / (y² + 4y - 12))

5 / (y + 6)

Factoring

100

Factor:  x² + 4x - 45

(x + 9) (x - 5)

200

Factor: x² - 9x + 20

(x - 4) (x - 5)

300

Factor:  3x² - 5x - 2

(2x + 3) (3x + 1)

400

Factor: 9x² - 8x + 16

 (3x - 4)^2 or (3x - 4) (3x - 4)

500

Factor:  25x² - 4

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