Algebra Properties of Equality Flashcards
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Questions and Answers

What does the Addition Property of Equality state?

  • If a=b, then ac=bc
  • If a=b, then a-c=b-c
  • If a=b, then a+c-c=b
  • If a=b, then a+c=b+c (correct)

What is an example of the Addition Property of Equality?

If 3x - 3=12, then 3x=15

What does the Subtraction Property of Equality state?

  • If a=b, then ac=bc
  • If a=b, then a+b=c
  • If a=b, then a-c=b-c (correct)
  • If a=b, then a+c=b+c

What is an example of the Subtraction Property of Equality?

<p>If 2x + 4=16, then 2x=12</p> Signup and view all the answers

What does the Multiplication Property of Equality state?

<p>If a=b, then ac=bc (B)</p> Signup and view all the answers

Complete the example for the Multiplication Property of Equality: If M

<p>not available</p> Signup and view all the answers

Study Notes

Algebra Properties of Equality

  • Addition Property of Equality: If two values are equal, adding the same amount to both sides keeps the equality true.

  • Example: For the equation (3x - 3 = 12), adding 3 to both sides results in (3x = 15).

  • Subtraction Property of Equality: If two values are equal, subtracting the same amount from both sides maintains the equality.

  • Example: For the equation (2x + 4 = 16), subtracting 4 from both sides leads to (2x = 12).

  • Multiplication Property of Equality: If two values are equal, multiplying both sides by the same non-zero number keeps the equality intact.

  • Example: If (a = b), then multiplying both by (c) results in (ac = bc).

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Review the essential properties of equality in algebra with these flashcards. Each card provides a definition and example to help reinforce your understanding. Perfect for students looking to master algebra concepts and improve problem-solving skills.

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