Algebra 2 Rational Expressions Review

simplifying rational

100

Simplify: (2a² +10a) / (3a² + 15a)

What is 2/3 

200

(x²+x−6) / (x² +8x+15)

What is  (x-2) / (x+5) 

300

((4x+20) / x² ) *  ((x²+x) / (2x+10))

What is 2(x+1) / x

400

(3x² - 13x - 30) / (18x² - 50)

What is (x-6) / 2(3x-5) 

500

(8x² - 46x + 45) / (4x² - 17x + 5)

What is (2x-9) / (x-3) 

Multiplying and Dividing

100

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

What is 7/2 

200

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

What is (2x-3) / 4x³

 

300

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

What is x²-9 

400

(3x² + 13x + 4) / (4x² - 16) Divided by (8x + 32) / (4x + 8)

What is (3x + 1) / (8x - 16) 

500

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

What is (x+4)  / (2x²-x) 

Addition and Subtraction

100

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

What is 5 

200

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

What is x + 2

300

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

What is 3 / (x + 4)

400

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

What is 1 / (x + 5)

500

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

What is 5 / (y + 6)

Basic Steps

100

FACTOR!

What is the first step when simplifying rational expressions?

200

Multiply numerators & multiply denominators (after you simplify common factors from top and bottom)

What is how you multiply rational expressions?

300

Keep the first expression, change the operation to multiplication, and reciprocate the second expression.

What is how do you divide rational expressions?

400

Find a LCD

What is the first step when adding/subtracting rational expressions?

500

a polynomial divided by another polynomial

What is a rational expression?

Factoring

100

Factor:  x² + 4x - 45

What is (x + 9) (x - 5)

200

Factor: x² - 9x + 20

What is (x - 4) (x - 5)

300

Factor:  3x² - 5x - 2

What is  (2x + 3) (3x + 1)

400

Factor: 9x² - 8x + 16

What is (3x - 4)2 or (3x - 4) (3x - 4)

500

Factor:  25x² - 4

What is (5x + 2) (5x - 2)