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General Information

Related Standards: MAFS.912.A-SSE.2.3
Reporting Category: Algebra: Seeing Structure in Expressions
Type: SHT: Selectable Hot Text
Difficulty: N/A
Question:

Sue removes the plug from a trough to drain the water inside. The volume, in gallons, in the trough after it has been unplugged can be modeled by 4t²-32t+63, where t is time, in minutes.

A. Click on the correct property that will give Sue the amount of time it takes the trough to drain.

B. Click on the expression that will reveal the property.

Answer Options:

A.

  • minimum
  • maximum
  • y-intercept
  • zero

B.

  • 4(0)²-32(0)+63
  • (2t-7)(2t-9)
  • 4(t-4)²-1
  • 4(t-8)²+47
Answer Key:
A. Zero, B. (2t-7)(2t-9)

Aligned Standards

Code Description
MAFS.912.A-SSE.2.3:

Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.★

  1. Factor a quadratic expression to reveal the zeros of the function it defines.
  2. Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines.
  3. Use the properties of exponents to transform expressions for exponential functions. For example the expression can be rewritten as ≈ to reveal the approximate equivalent monthly interest rate if the annual rate is 15%.


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