Solving Rational Equations, Practice #2 (Grades 11-12)

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Solving Rational Equations, Practice #2

1. 
Solve for x.
[math](x-17)/(x)=108[/math]
  1. x = 17/107
  2. x = -19/267
  3. x = -17/107
  4. x = -23/84
2. 
Solve for [math]m[/math]. [math](2m)/(m+3) = 4[/math]
  1. [math]m=2[/math]
  2. [math]m = -6[/math]
  3. [math]m=3[/math]
  4. [math]m = 3/7[/math]
3. 
If [math](x-1)/x = 4[/math], then [math]x = [/math]
  1. [math]3[/math]
  2. [math]-3[/math]
  3. [math]-1/6[/math]
  4. [math]-1/3[/math]
4. 
Solve for [math]x[/math].
[math](2x-3)/(x-5)=3[/math]
  1. [math]12[/math]
  2. [math]21/7[/math]
  3. [math]2[/math]
  4. [math]2/3[/math]
5. 
Solve for [math]y[/math].
[math](20y-12)/(4y)=4[/math]
  1. [math]3[/math]
  2. [math]5[/math]
  3. [math]2[/math]
  4. [math]-1[/math]
6. 
Find the value of [math]y[/math] in [math]1/(4y) - 1/(3y)=3/16[/math] .
  1. [math]4/9[/math]
  2. [math]9/4[/math]
  3. [math]-9/4[/math]
  4. [math]-4/9[/math]
7. 
Solve for all possible values of [math]x[/math]: [math](6x-12)/(x-2)=6-x[/math]
  1. 0
  2. 2, 12
  3. 2, 0
  4. No Solution
8. 
Solve for all possible values of [math]x[/math]: [math](3x+6)/(x+2) = x/3 [/math]
  1. No Solution
  2. -2, 9
  3. -2, 3
  4. 9
9. 
Solve the equation [math] 5/(2x-3)=3/(x+5)[/math].
  1. [math]x=16[/math]
  2. [math]x=4[/math]
  3. [math]x=19[/math]
  4. [math]x=34[/math]
10. 
Solve. Check for extraneous solutions.

[math]x/(x-1)=(x+3)/(-2x+2)[/math]
  1. [math]x=-1 or x=-2[/math]
  2. [math]x=-1[/math]
  3. [math]x=1[/math]
  4. [math]x=1 or x=-1[/math]

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