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Common Core Standard HSA-SSE.B.3c Questions

Use the properties of exponents to transform expressions for exponential functions. For example the expression 1.15t can be rewritten as (1.151/12)12t ≈ 1.01212t to reveal the approximate equivalent monthly interest rate if the annual rate is 15%.

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Grade 11 Nonlinear Equations and Functions CCSS: HSA-SSE.B.3, HSA-SSE.B.3c
Does the function y=4-2x represent exponential growth or decay? What is the percent rate of change?
  1. exponential growth; 4%
  2. exponential decay; 93.75%
  3. exponential growth; 83.5%
  4. exponential decay; 6.25%
Grade 12 Exponents CCSS: HSA-SSE.B.3, HSA-SSE.B.3c
Which of the following are equivalent to 32⋅23x⋅(116)x? Choose all that apply.
  1. 23x⋅2x
  2. 25-x
  3. 32⋅2-x
  4. 29+7x
Grade 12 Exponents CCSS: HSA-SSE.B.3, HSA-SSE.B.3c
Which of the following are equivalent to the expression 27⋅(1+19)2x? Choose all that apply.
  1. 100⋅33-4x
  2. 102x⋅31
  3. 33⋅(109)2x
  4. 33-4x⋅102x
Grade 12 Exponents CCSS: HSA-SSE.B.3, HSA-SSE.B.3c
Rewrite the expression 2162-2x in the form A⋅Bx.
  1. 72⋅136x
  2. 72⋅36x
  3. 712⋅136x
  4. 712⋅36x
Grade 12 Exponents CCSS: HSA-SSE.B.3, HSA-SSE.B.3c
Rewrite the expression 8⋅(12)2x+3 in the form A⋅Bx.
  1. (14)x
  2. 2⋅(18)x
  3. 2⋅(14)x
  4. 8⋅(18)x
Grade 12 Exponents CCSS: HSA-SSE.B.3, HSA-SSE.B.3c
Rewrite the expression 6⋅2x-1⋅43-x in the form A⋅Bx.
  1. 768⋅(12)x
  2. 192⋅(12)x
  3. 192⋅(14)x
  4. 768⋅2x
Grade 12 Exponents CCSS: HSA-SSE.B.3, HSA-SSE.B.3c
Rewrite the expression 2⋅4x+3⋅22-x in the form A⋅Bx.
  1. 256⋅2x
  2. 64⋅(12)x
  3. 512⋅2x
  4. 2⋅512x
Grade 12 Exponents CCSS: HSA-SSE.B.3, HSA-SSE.B.3c
Which expression is equivalent to 82x2-3x+1 ?
  1. (82x-1)x-1
  2. 16x2-3x+1
  3. 64x2-3x+1
  4. 16x2-1x+1

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