Quiz Review - Solving Rational Equations

Solving Rationals

100

Solve the equation.

x-10/x =3

x=-2, x=5

200

Solve the equation.

5/(x+1)=2/(x+4)

x = -6

300

Solve the equation.

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

x = 9

400

Solve the equation.

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

x = 0, x = 7

500

Solve the equation.

(20x-35)/x+(x+1)/x=5/(x^2-2x)

 

x=7/3, x=9/7

Solving Rationals #2

100

Solve the equation. 

5/x=7/(x+2)

x=5

200

Solve the equation. 

(x+12)/3=(2x+3)/(x+2)

x= -5, -3

300

Solve the equation.

1/(x+6)+(x+1)/x=13/(x+6)

x=2,3

400

Solve the equation.

(3x)/(x+1)+6/(2x)=7/x

x=-2/3, 2

500

Solve the equation

 4/(n+1)+1/(n^2-5n-6)=1/(n-6)

x = 8

Solving Rationals #3

100

Solve the equation.

1/x^2=81

x=+-1/9

200

Solve the equation.

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

x = 0

300

Solve the equation.

2/(x+4)=1/(x+4)

no solution

400

Solve the equation. 

(6x-1)/(3x)=5

x=-1/9

500

Solve the equation.

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

x = 4

Find the LCD

100

Put in factored form

(6x^2-18x)/(x^2-10x+21)-(2x+3)/(x-7)= (14x+49)/(x-3)

LCD: (x-7)(x-3)

200

Put in factored form

x/(x^2-x-12) + 5/(2x)=x-8

LCD:2x(x-4)(x+3)

300

Put in factored form.

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

LCD: 2(x+3)(x-3)

400

Put in factored form

(x^2-5)/(x^2+5x-14) - (x+3)/(x+7)=(5x)/(3x(x+7))

LCD: 3x(x+7)(x-2)

500

Put in factored form

(3x+2)/(6x-48) - (2x^2+5x)/(x^2-4x-32)=7/6

LCD: 6(x-8)(x+4)

Excluded Values

100

What are the excluded values for

2 - 2/(3x^2)=3/(2x)

x ≠ 0

200

What are the excluded values for

3/(x-9) +1 = 2/x

x ≠ 0, 9

300

What are the excluded values for

(4x^2-12)/3

none

400

What are the excluded values for 

(x-5)/(x^2-x-6)-(x-7)/(x-3)=-4

x≠3, -2

500

What are the excluded values for

(9x+5)/x+(x-8)/x=5/(x^2-4x)

x ≠ 0, 4