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Eleventh Grade (Grade 11) Exponents Questions

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Grade 11 Exponents
Solve for x. (14)x=1612
  1. -1
  2. 12
  3. 4
  4. 2
  5. none of these are correct
Grade 11 Exponents CCSS: HSF-LE.B.5
An important part of a nuclear fission reactor is the chain reaction process. In simplified terms, this process starts with a single neutron which is shot into fissile material, such as uranium. This neutron eventually hits and is absorbed by a uranium atom. The uranium atom is unstable with the extra neutron and eventually splits apart. This splitting releases additional neutrons, as well as energy, and the process repeats with each of these new neutrons. If each time a neutron hits an atom, two neutrons are released, which of the following functions correctly models this simplified example?
  1. N(t)=2t, where N is the number of loose neutrons and t is the time, in seconds.
  2. N(a)=2a, where N is the number of loose neutrons, and a is the number of uranium atoms that have been hit.
  3. N(a)=2⋅2a, where N is the number of loose neutrons, and a is the number of uranium atoms that have been hit.
  4. N(t)=e2t, where N is the number of loose neutrons and t is the time, in seconds.
Grade 11 Exponents CCSS: HSF-LE.A.4
Solve for x in 18⋅2x=90.
  1. log(52)
  2. log(5)log(2)
  3. ln(10)
  4. 5log(2)
Grade 11 Exponents CCSS: HSF-LE.A.2
Given the points (1,2) and (8,9), which of the following exponential functions could be created with them? The numerical values in the function have been rounded.
  1. f(x)=1.41⋅1.42x
  2. f(x)=1.61⋅1.24x
  3. f(x)=2.74⋅1.16x
  4. All of the above.
Grade 11 Exponents
Solve: 33x-2>81
  1. 0<x<2
  2. x>2
  3. x<2
  4. No solution
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 f(x)=3x+20 while Julia chooses the one which says g(x)=1.75x. 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 CCSS: HSF-LE.A.2
Create an exponential function of the form f(x)=abx, given the points (-2,5) and (3,10). The numerical values of a and b have been rounded in the following answers.
  1. f(x)=6.61⋅1.15x
  2. f(x)=0.10⋅0.14x
  3. f(x)=7.94⋅1.26x
  4. At least three points are needed.
Grade 11 Exponents
Solve for x.
3√16=8x
  1. x=4
  2. x=73
  3. x=49
  4. x=19
Grade 11 Exponents
Solve for x. (45)x-3=(2516)
  1. -2
  2. 1
  3. 12
  4. 0
  5. none of these are correct
Grade 11 Exponents CCSS: HSF-LE.A.4
Solve for x in 7⋅214x=56.
  1. -log(2)log(8)
  2. -24
  3. 314
  4. log(8)7
Grade 11 Exponents CCSS: HSF-IF.C.8, HSF-IF.C.8b

This question is a part of a group with common instructions. View group »

Using laws of exponents, re-write the function T(t) into the form T(t)=a⋅bt+c, where a,b,c∈ℝ.
  1. T(t)=1.445⋅(1.078)t+75
  2. T(t)=0.692⋅(0.928)t+75
  3. T(t)=135⋅(1.078)t+75
  4. T(t)=135⋅(0.928)t+75
Grade 11 Exponents CCSS: HSF-BF.B.5, HSF-LE.A.4
Solve for x. e4x+2=1
  1. 1
  2. e
  3. -12
  4. 2
  5. none of these are correct
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