Multiplying and dividing rational expressions
Adding and subtracting rational expressions
Solving rational equations
100

Simplify and state any non-permissible value(s).

(3x^2+9x)/(14x)*(7x)/(x+3)  


(3x)/2 , x≠0,-3

100

Simplify and state any non-permissible value(s).

(4y)/(3y-2)-6/(y+2) 

(4y^2-10y+12)/((3y-2)(y+2)), y ≠2/3,-2

100

Solve for x and state the non-permissible value(s). 

(6a+3)/(2a-3)=3/2

x=(-5)/2, x ≠3/2

200

Simplify and state any non-permissible value(s).

 (4x^2)/(12x)*4/(12x^3) 

1/(9x^2), x ≠0

200

Simplify and state any non-permissible value(s).

 10/(x^2-25)+12/(x+5) 

(12x-50)/((x+5)(x-5)), x ≠5, -5

200

Solve for x and state the non-permissible value(s). 

(x^2-9)/(x+3)=4

x=7, x≠-3

300

Simplify and state any non-permissible value(s).


 (x+3)/(2x^2(x-5))*(4x(x-2))/(x+3) 

(2(x-2))/(x(x-5)), x ≠0, 5,-3

300

Simplify and state any non-permissible value(s).

(9y-6)/(2y)+1/(6y^2)

(27y^2-18y+1)/(6y^2), y ≠0

300

Solve for x and state the non-permissible value(s). 

1/(x-1)=4/(x^2-x)

x=4, x ≠0,1

400

Simplify and state any non-permissible value(s).

(4x)/(2x-3)÷(x+5)/(4x-6) 

(8x)/(x+5), x ≠ 3/2, -5

400

Determine the lowest common denominator for the following expression. State any non-permissible value(s).

 16/(2(x-3)(x+1)),(-x)/((x+1)(x-1)) 

LCD= 2(x-3)(x+1)(x-1)

400

Solve for x and state the non-permissible value(s). 

4/x+(2x)/(x-4)-2=0

x=4/3, x ≠4

500

Simplify and state any non-permissible value(s).


 (4x(x+1))/(x+2)÷(x^2+5x+4)/(x+2) 

(4x)/(x+4), x ≠-2, -1, -4, 

500

Determine the lowest common denominator for the following expression. State any non-permissible value(s).

1/(x^2-6x+9), 1/(x^3-9x)

LCD= x(x-3)(x-3)(x+3)

500

Solve for x and state the non-permissible value(s). 

30/(x^2-25)=3/(x-5)-2/(x+5)

No solution, x≠5,-5

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