Podcast
Questions and Answers
What does the Addition Property of Equality state?
What does the Addition Property of Equality state?
What is the definition of the Multiplication Property of Equality?
What is the definition of the Multiplication Property of Equality?
If a = b, then a * c = b * c
What is the Reflexive Property of Equality?
What is the Reflexive Property of Equality?
a = a
What does the Transitive Property of Equality indicate?
What does the Transitive Property of Equality indicate?
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What does the Subtraction Property of Equality state?
What does the Subtraction Property of Equality state?
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Define the Division Property of Equality.
Define the Division Property of Equality.
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What does the Symmetric Property of Equality say?
What does the Symmetric Property of Equality say?
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State the Distributive Property.
State the Distributive Property.
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What is the Substitution Property of Equality?
What is the Substitution Property of Equality?
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Study Notes
Properties of Equality
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Addition Property of Equality: If a equals b (a = b), then adding a constant c to both sides maintains equality (a + c = b + c).
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Multiplication Property of Equality: If a equals b (a = b), then multiplying both sides by a constant c preserves the equality (a * c = b * c).
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Reflexive Property of Equality: Each value is equal to itself (a = a), emphasizing self-identity in equations.
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Transitive Property of Equality: If a equals b (a = b) and b equals c (b = c), then a must equal c (a = c), allowing the transfer of equality across equalities.
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Subtraction Property of Equality: Subtracting a constant c from both sides of an equation does not change the equality (a = b leads to a - c = b - c).
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Division Property of Equality: If a equals b (a = b) and c is not equal to 0, then dividing both sides by c preserves equality (a / c = b / c).
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Symmetric Property of Equality: If a equals b (a = b), then this can be expressed in reverse order as well (b = a), demonstrating bidirectional equality.
Additional Mathematical Properties
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Distributive Property: This property states that multiplying a number by a sum is equivalent to multiplying each addend separately and then adding the results (a(b + c) = ab + ac).
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Substitution Property of Equality: When a equals b (a = b), a can replace b in any equation or expression, allowing for simplification and manipulation of expressions.
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Description
Test your knowledge on the fundamental properties of equality used in mathematics. This quiz covers the addition, multiplication, reflexive, transitive, subtraction, division, and symmetric properties. Perfect for reinforcing your understanding of these essential concepts!