Adding and Subtracting Rational Expressions

Adding 1

100

(1/2)+(1/x)=

What is (2+x)/2x

200

(2/x)+(1/x)=

What is 3/x

300

[1/(1+x)]+(1/2)=

What is (x+3)/(2+2x) or (x+3)/[2(1+x)]

400

r/(r² - 4) + 1/(r² - 6r + 8)

(r-1)/(r+2)(r-4)

500

(8a - 18)/(3a²+14a+8) + 7/(3a+2)

5/(a+4)

Adding 2

100

(3/4)+(2/x)=

What is (3x+8)/4x

200

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

What is (2x+10)/5x

300

[2/(x+1)]+(1/3)=

What is (x+7)/(3x+3) or (x+7)/[3(x+1)]

400

(m²-7m-18)/(m²-10m+9) + 6/(m-1)

(m+8)/(m-1)

500

c/(c+5) + (7c-15)/(c²-25) + 4/(c-5)

(c+1)/(c-5)

Subtracting 1

100

(1/2)-(1/x)=

What is (x-2)/2x

200

(9/x)-2=

What is (9-2x)/x

300

[1/(x+1)]-(1/2)

What is (1-x)/[2(x+1)] or (1-x)/(2x+2)

400

(8k+9)/18 - (2k+1)/18

(3k+4)/9

500

(p² - 9p)/(p² - 4p - 45) - 2/(p+5)

(p-2)/(p+5)

Subtracting 2

100

[1/(3x)]-(1/x)=

What is -2/(3x)

200

[1/(2x)]-(3/x)=

What is -5/(2x)

300

[4/(x+1)]-(2/3)

What is (10-2x)/(3x+3) or (10-2x)/[3(x+1)]

400

(3y² - 19y)/(y² - 25) + (y² - y)/(y² - 25)

4y/(y+5)

500

4 - 5/(4m + 8)

(16m+27)/4(m+2)