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Eleventh Grade (Grade 11) Radicals Questions

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Grade 11 Radicals CCSS: HSF-IF.A.1
Which of the following is the correct domain for the function [math]f(x) = 5sqrt(x-3) ?[/math]
  1. [math]{x | x in RR, x >= 3}[/math]
  2. [math]{x | x in RR, x >= 0}[/math]
  3. [math]{x | x in RR, x >= 3/5}[/math]
  4. [math]{x | x in RR, x <= 3/5}[/math]
Grade 11 Radicals CCSS: HSN-RN.A.2
Express with fractional exponents.

[math]root3(25^2)[/math]
  1. [math]25^(2/3)[/math]
  2. [math]5^(3)[/math]
  3. [math]root()(25^(3)[/math]
  4. [math]25^(3/2)[/math]
Grade 11 Radicals CCSS: HSF-IF.A.1
What is the range of the function [math]y = 4e^(3x-5) + 3 ?[/math]
  1. [math]{y | y in RR, y >=0}[/math]
  2. [math]{y | y in RR, y >= 3}[/math]
  3. [math]{y | y in RR, y > 3}[/math]
  4. [math]{y | y in RR, y > 12}[/math]
Grade 11 Radicals CCSS: HSA-REI.A.2
Solve for all possible values of [math]x[/math]. [math](sqrt(x+3))/9=sqrt(x+1)[/math]
  1. [math]3, 9[/math]
  2. [math]-39/40[/math]
  3. [math]78/80[/math]
  4. [math]3[/math]
Grade 11 Radicals CCSS: HSN-RN.A.2
Simplify.

[math]7sqrt2+3sqrt2[/math]
  1. [math]20[/math]
  2. [math]10sqrt2[/math]
  3. [math]21sqrt2[/math]
  4. [math]84[/math]
Grade 11 Radicals CCSS: HSN-RN.A.2
Simplify the radical expression. [math]root3{:27x^4y^5[/math]
  1. [math]3xyroot3{:xy^2[/math]
  2. [math]5xyroot3{:xy^2[/math]
  3. [math]3xyroot3{:xy[/math]
  4. [math]3xy^2sqrtx[/math]
Grade 11 Radicals
Rationalize the denominator for [math]16/sqrt8[/math].
  1. [math]4[/math]
  2. [math]4sqrt2[/math]
  3. [math]12sqrt2[/math]
  4. [math]sqrt2[/math]
Grade 11 Radicals CCSS: HSN-RN.A.2
Simplify. [math]root3(27x^10)[/math]
  1. [math]27x^10[/math]
  2. [math]root3(27x^10)[/math]
  3. [math]3root3(x^10)[/math]
  4. [math](3x^3)root3x[/math]
Grade 11 Radicals CCSS: HSN-RN.A.2
If a field is [math]3 root(5)(x^8)[/math] units long and it is divided into [math]12 root(3)(x^4)[/math] segments, how long is each segment?
  1. [math]1/4 sqrt(x^4)[/math]
  2. [math]-9 root(2)(x^4)[/math]
  3. [math]1/4 root (15)(x^4)[/math]
  4. [math]1/4 root(5/3)(x^2)[/math]
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 Radicals CCSS: HSA-REI.A.2
Grade 11 Radicals CCSS: HSN-RN.A.2
Simplify the radical expression. [math]root5 {:m^15n^50[/math]
  1. [math]m^10n^3[/math]
  2. [math]m^3n^10[/math]
  3. [math]m^-3n^-10[/math]
  4. [math]m^-10n^-3[/math]
Grade 11 Radicals CCSS: HSA-REI.A.2
Grade 11 Radicals CCSS: HSN-RN.A.2
Simplify the radical expression. [math]root3 112 * root3 16[/math]
  1. [math]8root3 12[/math]
  2. [math]4root3 28[/math]
  3. [math]4root3 20[/math]
  4. [math]8root3 28[/math]
Grade 11 Radicals CCSS: HSA-REI.A.2
Solve for all possible values of [math]x[/math]. [math]x/sqrtx=sqrtx[/math]
  1. All real numbers
  2. [math]x>=sqrtx[/math]
  3. [math]x>0[/math]
  4. No Solution
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