Properties of Equality Quiz with Flashcards

Study Notes

Properties of Equality

Addition Property of Equality: If ( a = b ), then ( a + c = b + c ); allows adding the same value to both sides of an equation.
Subtraction Property of Equality: If ( a = b ), then ( a - c = b - c ); allows subtracting the same value from both sides of an equation.
Multiplication Property of Equality: If ( a = b ), then ( ac = bc ); allows multiplying both sides of an equation by the same value.
Division Property of Equality: If ( a = b ) and ( c \neq 0 ), then ( \frac{a}{c} = \frac{b}{c} ); allows dividing both sides of an equation by the same non-zero value.
Substitution Property of Equality: If ( a = b ), then ( a ) can replace ( b ) in any equation or expression; essential for simplifying expressions or solving equations.

Distributive Property

Distributive Property: ( a(b + c) = ab + ac ); describes how to distribute multiplication over addition.

Reflexive Property of Equality

Reflexive Property (Real Numbers): For any real number ( a ), ( a = a ); establishes that any quantity is equal to itself.
Reflexive Property (Segment Length): For any segment ( AB ), ( AB = AB ); applies to geometric segments, signifying congruence.
Reflexive Property (Angle Measure): For any angle, its measure is equal to itself; crucial in the context of geometric angles.

Description

Test your understanding of the properties of equality with this quiz. Explore concepts like the addition, subtraction, multiplication, and division properties, as well as the distributive property and reflexive property. Perfect for students studying algebra concepts.