SAT Skills Insight

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5/3 , 6/7

Select a score band

Reasoning

Skills needed to score in this band

SKILL 1: Decide which cases to consider in order to reach a conclusion

SKILL 2: Make and test conjectures about properties of operations represented by unfamiliar symbols

  1. 1

    Decide which cases to consider in order to reach a conclusion

    Example

    If p is a prime number greater than 5, which of the following could represent another prime number for some value of p?

    Answer Choices
  2. 2

    Make and test conjectures about properties of operations represented by unfamiliar symbols

    Example

    For all numbers a and b, let a symbol b be defined by a symbol b = (a times b) + a + b. For all numbers x, y, and z, which of the following must be true?

    Roman numeral 1. x symbol y = y symbol x 
    Roman numeral 2. (x minus 1) symbol (x + 1) = (x symbol x) minus 1
    Roman numeral 3. x symbol ( y + z ) = (x symbol y) + (x symbol z)

    Answer Choices

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