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Eleventh Grade (Grade 11) Exponents Questions

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Grade 11 Exponents
Which function is an example of exponential decay?
  1. g(x)=0.4(1.3)x
  2. f(x)=1.6(0.85)x
  3. h(x)=2.5(1+.95)x
  4. k(x)=4(1.25)x
Grade 11 Exponents
Solve. (53)3x-2=1
  1. x=23
  2. x=1
  3. x=0
  4. Not possible without logarithms
Grade 11 Exponents
Solve. 1216=363x+6
  1. x=-115
  2. x=-1
  3. x=-25
  4. x=-52
Grade 11 Exponents
How can the exponential expression (-2x2)3(5x4) be rewritten equivalently?
  1. -40x10
  2. 30x24
  3. -10x10
  4. 24x12
Grade 11 Exponents CCSS: HSF-BF.B.5, HSF-LE.A.4
Solve exactly. 3⋅e2x=9
  1. x=log(32)
  2. x=13ln(92)
  3. x=ln(32)
  4. x=12ln(3)
Grade 11 Exponents
Which function represents exponential decay?
  1. f(x)=2x
  2. f(x)=8(0.9)x
  3. f(x)=6x2
  4. f(x)=0.9⋅x
Grade 11 Exponents CCSS: HSF-BF.B.5, HSF-LE.A.4
What is the exact solution to 8⋅2x=3?
  1. x=log2(38)
  2. x=log2(3)8
  3. x=log2(316)
  4. x=log(38)
Grade 11 Exponents CCSS: HSF-LE.A.4
Solve for x in 15⋅e10x=90.
  1. ln(6)10
  2. log(5)13
  3. ln(15)6
  4. -815
Grade 11 Exponents CCSS: HSF-LE.B.5
Carbon dating uses the fact that carbon-14, an element found in nearly all living things, decays exponentially. The function C(t)=5e-0.00012t, models the approximate amount of carbon-14, in micrograms, left in a certain sample of a plant after it died. What does the value 5 represent in this model?
  1. The decay rate constant of carbon-14.
  2. The half life of carbon-14.
  3. The amount of carbon-14 originally in the specimen, in micrograms.
  4. The amount of carbon-14 left in the specimen, in micrograms, after t years.
Grade 11 Exponents CCSS: HSF-BF.B.5, HSF-LE.A.4
Find the exact solution to 18⋅2x=10.
  1. x=ln(59)ln(2)
  2. x=ln(59)
  3. x=12log(59)
  4. x=118ln(10).
Grade 11 Exponents
Determine the y-intercept of the following exponential function. y=2x+3
  1. (0,4)
  2. (0,3)
  3. (0,2)
  4. (4,0)
  5. none of these are correct
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