Algebra 2 Rational Expressions Review

Asymptotes

Multiplying and Dividing

Addition and Subtraction

Equations

Dividing Polynomials

100

The vertical asymptote of the function f(x) = 2/x -3.

What is x = 3?

100

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

What is 7/2

100

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

What is 5

100

(4 / x) + x = 5

x = 1 and 4

100

Divide the polynomial.

(x²-3x-40)/ (x+5)

What is x - 8?

200

This is the horizontal asymptote of the function f(x) = (2x - 1)/(x -3).

What is y = 2?

200

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

What is (2x-3) / 4x³

200

(x²/ (x + 5)) + ((7x + 10) / (x + 5))

What is x + 2

200

(2 / 3 * x) + (1 / 6) = (4 / 3 * x)

x = 1/4

200

Divide the polynomial.

2x³-3x³-18x-8) / (x-4)

What is 2x²+5x+2 ?

300

This is the horizontal asymptote of the function f(x) = (x - 7)/(3x - 1).

What is y = 1/3?

300

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

What is x²-9

300

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

What is 3 / (x + 4)

300

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

x = -1

300

Divide the polynomial.

(x²-7x+10)/ (x+3)

What is x - 10 + 40/(x+3)

400

This is the vertical asymptote of the function f(x) = ((x + 2)(x - 2)/((x + 2)(x - 1)).

What is x = 1?

400

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

What is (3x + 1) / (8x - 16)

400

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

What is 1 / (x + 5)

400

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

x = -.5 and 3

400

Divide the polynomial.

(x⁴+3x³+x+4) / (x+3)

What is x³-3x²+12x-35 + 109/(x+3)

500

This is the vertical asymptote of the function f(x) = ((x - 4)(x + 2))/ (x - 4).

What is there is no vertical asymptote?

500

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

What is (x+4) / (2x²-x)

500

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

What is 5 / (y + 6)

500

3x / (x + 1) = (12 / (x²- 1)) + 2

x = -2 and 5

500

Divide the polynomial.

(x³+5x²-3x-1) / (x-1)

What is x²+6x+3 + 2/(x-1)