Algebra 2 Rational Expressions Test

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 - 16)) - ((y +4) / (y - 4))

What is (-y² - 2y - 22)/((y+4)(y-4))

Vocabulary

100

an expression that can be written as a quotient of two polynomials

Rational Expression

200

What is it called when two or more fractions have the same bottom value

Common Denominator

300

a factor method used when there are 4 terms

Factor by Grouping

400

what factor method do you always consider first

GCF

500

What two things must be done when dividing two rational expressions

change division sign to a multiplication sign and flip the fraction that comes immediately after the sign

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:  25x² - 4

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

400

Factor: 9x² - 24x + 16

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

500

Factor:  3x³ - 5x² - 2x

What is  x (x - 2) (3x + 1)