Excluded Values
Simplify Rational Expressions
Multiply Rational Expressions
Divide Rational Expressions
Add/Subtract Rational Expressions
Solving Rational Equations
100

What is the excluded value(s)?

y=1/(x+3)

x = -3

100

Simplify the expression

(16c^2b^4)/(8c^3b)

(2b^3)/(c)

100

Multiply the rational expressions and simplify 

(2x^3)/(7x) xx 14/x

4x

100

(x^5)/y div x/y^2

x^4y

100

Add the rational expressions. Simplify if possible.

(7y)/12+(9y)/12

(4y)/3

100

Excluded values of a rational expression will make the value of the denominator equal to _____.

0

200

What is the excluded value(s)?

y=7/(5x-10)

x = 2

200

Simplify the rational expression


y=(n+3)/(n^2+10n+21)

x=1/(n+7)

200

(10n^2)/4 xx 2/n

5n

200

(f^4g^2h)/(x^2y) div f^3g

(fgh)/(x^2y)

200

Add the rational expressions. Simplify if possible.

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

1/(x-3)

200

Solve the equation. 

5/x=7/(x+2)

x=5

300

What is the excluded value(s)? 

y=5/x

x = 0

300

Simplify the rational expression

(x^2-2x-35)/(x^2-9x+14)

(x+5)/(x-2)

300

(12c^3)/(21b) xx (14b^2)/(6b)

(4bc^2)/3

300

(21b^3)/(4c^2) div (7)/(6c^2)

(9b^3)/2

300

Subtract the rational expressions. Simplify if possible.

(3-2n)/(n(n+2)) - (1-3n)/(n(n+2)

1/n

300

Solve the rational equation (and check for extraneous solutions):

(x+3)/5 = (x+1)/2

x=1/3

400

What are the excluded value(s)? 

(x^2-x-6)/(x^2+8x+12)

x = -6 and -2

400

Simplify the rational expression

(y^2+9y-10)/(2y+20)

(y-1)/2

400

(n^2+n-2)/(n+2) xx (4n)/(n-1)

4n

400

(n^2+7n+12)/(16n^2) div (n+3)/(2n)

(n+4)/(8n)

400

Subtract the rational expressions. Simplify if possible.

c/(c^2+3c-4)-1/(c^2+3c-4)

1/(c+4)

400

Factor and identify any excluded values:

(x^2-8x) /(14(x^2+8x+15)

-3 and -5

500

What are the excluded value(s)?

(12a)/(a^2-3a-10)

x = 5 , -2

500

Simplify the rational expression

(5d+15)/(d^2-d-12)

5/(d-4)

500

(y^2-1)/(y^2-49) xx (y-7)/(y+1)

(y-1)/(y+7)

500

(b+4)/(3b+2) div (3b+12)/(b+1)

(b+1)/((3)(3b+2)

500

Add the rational expressions. Simplify if possible.

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

(5(x+1))/((x+5)(x-5))

500

Solve the rational equation:

8/(x+3) = (x+1)/(x+6)

9 and -5