Algebra 2 - Chapter 1 Test Review
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Questions and Answers

What does the symmetric property state?

  • Rational + Irrational numbers
  • A=A
  • If A=B, then B=A (correct)
  • A * B = B * A

    • What is the reflexive property?

    A=A (Can be anything, like Lambert=Lambert)

    What does the commutative property of multiplication state?

  • A = A
  • Rational + Irrational numbers
  • A * B = B * A (correct)
  • A + B = B + A

    • What are real numbers?

    <p>Rational + Irrational numbers</p> Signup and view all the answers

    What are rational numbers?

    <p>Decimal that either terminates or repeats itself</p> Signup and view all the answers

    What are irrational numbers?

    <p>Decimal that does not terminate or repeat itself</p> Signup and view all the answers

    What is absolute value?

    <p>|x| = x if x &gt; 0, |x| = -x if x &lt; 0</p> Signup and view all the answers

    Study Notes

    Properties of Equality

    • Symmetric property: States that if A is equal to B, then B is equal to A.
    • Reflexive property: Indicates that any quantity is equal to itself, expressed as A = A.

    Properties of Operations

    • Commutative property of multiplication: Demonstrates that the order of multiplication does not change the product, formulated as A * B = B * A.

    Number Types

    • Real numbers: Comprise both rational and irrational numbers, encompassing all possible numbers on the number line.
    • Rational numbers: Defined as numbers that can be expressed as a fraction of two integers; their decimal representation either terminates (ends) or repeats infinitely.
    • Irrational numbers: Defined as numbers that cannot be expressed as a fraction of two integers; their decimal representation neither terminates nor repeats.

    Absolute Value

    • Definition of absolute value: Represents the distance of a number from zero on the number line; |x| equals x if x is greater than zero, and |x| equals -x if x is less than zero.

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    Description

    Prepare for your Algebra 2 exam with this comprehensive set of flashcards. Covering essential properties such as symmetric, reflexive, and commutative properties, this review ensures you grasp the foundations of real and rational numbers. Ideal for reinforcing core concepts before your test!

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