Midterm Review - Solving Rational Equations

Solving Rational Expressions

100

What is a denominator?

The bottom part of the fraction.

200

Solve the equation. 

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

x= -5, -3

Excluded Values

100

What are the excluded values for

(4x^2-12)/3

none

200

What are the excluded values for

 

x ≠ 0,8

300

What are the excluded values for

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

x ≠ 0, 9

500

What are the excluded values for 

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

x≠3, -2

GCF/Simplifying Rational Expressions

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

Adding/Subtracting Rational Expressions

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)

Multiplying/Dividing Rational Expressions

100

What are the excluded values for

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

x ≠ 0