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Eleventh Grade (Grade 11) Exponents Questions

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Grade 11 Exponents
Simplify. [math](2x)^4/(2x^4)[/math]
  1. [math] 8, \ x!=0 [/math]
  2. [math] 4 [/math]
  3. [math] 2, \ x!=0 [/math]
  4. [math] 1 [/math]
Grade 11 Exponents
Simplify. Answer must only have positive exponents.

[math](x^-3 * y^-4 * y^2 *x^1) / (x^5 * y^2)[/math]
  1. [math](x^-2 * y^-2)/(x^5 * y^2)[/math]
  2. [math](y^2 * x)/(x^8 * y^6)[/math]
  3. [math]1 / (x^8 * y^6)[/math]
  4. [math]1 / (x^7 * y^4)[/math]
Grade 11 Exponents
Solve. [math] (5/3)^(3x-2) = 1 [/math]
  1. [math] x = 2/3 [/math]
  2. [math] x = 1[/math]
  3. [math] x = 0[/math]
  4. [math]"Not possible without logarithms"[/math]
Grade 11 Exponents
Which function is an example of exponential growth?
  1. [math]g(x)=0.4(1.3)^x[/math]
  2. [math]f(x)=1.6(0.85)^x[/math]
  3. [math]h(x)=0.5(0.95)^x[/math]
  4. [math]k(x)=1.2(1-.25)^x[/math]
Grade 11 Exponents
Write [math]root7 {: x^4[/math] as a rational exponent.
  1. [math]x^(7/4)[/math]
  2. [math]x^4[/math]
  3. [math]x^(4/7)[/math]
  4. [math]x^7[/math]
Grade 11 Exponents
Which function is an example of exponential decay?
  1. [math]g(x)=0.4(1.3)^x[/math]
  2. [math]f(x)=1.6(0.85)^x[/math]
  3. [math]h(x)=2.5(1+.95)^x[/math]
  4. [math]k(x)=4(1.25)^x[/math]
Grade 11 Exponents
Solve. [math]root[4](8^(5)) = 16^(3x) [/math]
  1. [math]x = 5/12 [/math]
  2. [math]x = 5/16[/math]
  3. [math]x = 15/14 [/math]
  4. [math] x = 5/14 [/math]
Grade 11 Exponents
Solve for x. [math](4/5)^(x-3) = (25/16)[/math]
  1. [math]-2[/math]
  2. [math]1[/math]
  3. [math]1/2[/math]
  4. [math]0[/math]
  5. none of these are correct
Grade 11 Exponents
Evaluate the expression [math]3^(x + 2) [/math] when [math]x = -2[/math].
  1. [math]1/3[/math]
  2. [math]1[/math]
  3. [math]3[/math]
  4. [math]81[/math]
Grade 11 Exponents
Evaluate. [math](1/27)^(-2/3)[/math]
  1. -3
  2. 9
  3. [math]1/3[/math]
  4. [math]-1/9[/math]
Grade 11 Exponents
Which function represents exponential decay?
  1. [math]f(x) = 2^x[/math]
  2. [math]f(x) = 8(0.9)^x[/math]
  3. [math]f(x) = 6x^2[/math]
  4. [math]f(x) = 0.9 * x[/math]
Grade 11 Exponents
Solve for x. [math](1/4)^x = 16^(1/2)[/math]
  1. -1
  2. [math]1/2[/math]
  3. 4
  4. 2
  5. none of these are correct
Grade 11 Exponents
Determine the y-intercept of the following exponential function. [math]y=2^x+3[/math]
  1. (0,4)
  2. (0,3)
  3. (0,2)
  4. (4,0)
  5. none of these are correct
Grade 11 Exponents
Solve for [math]x[/math]. [math]2^x/8^(x-2) = 16^(3x-2)[/math]
  1. [math] x = 1 [/math]
  2. [math] x = 2/7 [/math]
  3. [math] x = 4/3 [/math]
  4. [math] x = 4/7 [/math]
Grade 11 Exponents CCSS: HSF-LE.A.3
The parents of Stephanie and Julia have told them that they will give them a monthly allowance based on a math equation. Stephanie chooses the one which says [math]f(x)= 3x+20[/math] while Julia chooses the one which says [math]g(x)= 1.75^x[/math]. Which option below best describes what will happen?
  1. Julia will always make more.
  2. Julia will make more at first, but Stephanie will make more in the end.
  3. Stephanie will always make more.
  4. Stephanie will make more at first, but Julia will make more in the end.
Grade 11 Exponents
Solve for x. [math]10^(x^2+1) = 100^x[/math]
  1. 4
  2. 3
  3. 2
  4. 1
  5. None of these are correct
Grade 11 Exponents
Solve: [math]3^(3x-2)>81[/math]
  1. [math]0 < x<2[/math]
  2. [math]x>2[/math]
  3. [math]x<2[/math]
  4. No solution
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