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Algebra Properties of Equality Flashcards

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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?

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

What does the Multiplication Property of Equality state?

If a=b, then ac=bc Signup and view all the answers

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

not available 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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Description

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.