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Common Core Standard HSA-REI.A.2 Questions

Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise.

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Grade 9 Nonlinear Equations and Functions CCSS: HSA-REI.A.2
[math](10 - x)/(x - 8) = 0[/math] if [math]x =[/math]
  1. -10
  2. -8
  3. 8
  4. 10
Grade 9 Nonlinear Equations and Functions CCSS: HSA-REI.A.2
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]
Grade 11 Nonlinear Equations and Functions CCSS: HSA-REI.A.2
Solve. [math]x/(x-2) - 8/(x^2-4) = 0 [/math]
Grade 9 Nonlinear Equations and Functions CCSS: HSA-REI.A.2
[math](2x + 6)/(x - 6) = 3 [/math] if [math]x =[/math]
  1. 8
  2. 16
  3. 24
  4. 32
Grade 11 Nonlinear Equations and Functions CCSS: HSA-REI.A.2
[math](2x^2+2x)/(x^2-4)-(x-2)/(x+2)=(x+2)/(x-2)[/math]
Grade 11 Radicals CCSS: HSA-REI.A.2
Solve [math]sqrt(x) = 14[/math].
  1. [math]x = 196[/math]
  2. [math]x = 14[/math]
  3. [math]x = 28[/math]
  4. [math]x = 169[/math]
Grade 10 Nonlinear Equations and Functions CCSS: HSA-REI.A.2
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]
Grade 11 Nonlinear Equations and Functions CCSS: HSA-REI.A.2
Solve. [math](6x)/(3x-1)=(4x)/(2x+5)[/math]
Grade 9 Nonlinear Equations and Functions CCSS: HSA-REI.A.2
[math](5y - 1)/(3y - 9) = 4[/math]

[math]y =[/math]
Grade 11 Radicals CCSS: HSA-REI.A.2
Solve [math]root3x = 3[/math].
  1. [math]x=3[/math]
  2. [math]x=6[/math]
  3. [math]x=9[/math]
  4. [math]x=27[/math]
Grade 10 Nonlinear Equations and Functions CCSS: HSA-REI.A.2
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]
Grade 11 Nonlinear Equations and Functions CCSS: HSA-REI.A.2
Solve. [math]3/(x+2)+5/(x-4) = -2/(x-3)[/math]
Grade 12 Nonlinear Equations and Functions CCSS: HSA-REI.A.2
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
Grade 11 Radicals CCSS: HSA-REI.A.2
Solve the radical equation [math]root3x = 10[/math].
  1. [math]x=10[/math]
  2. [math]x=100[/math]
  3. [math]x=1000[/math]
  4. [math]x=10000[/math]
Grade 11 Nonlinear Equations and Functions CCSS: HSA-REI.A.2
Solve. [math]7/(3x^2)+1/(9x) = 5/x[/math]
Grade 12 Nonlinear Equations and Functions CCSS: HSA-REI.A.2
Solve for x.
[math](x)/(x-2)=-24 \ \ [/math]
  1. [math]x=24/5[/math]
  2. [math]x=12[/math]
  3. [math]x=-16[/math]
  4. [math]x=48/25[/math]
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