2.07 Quiz Algebraic Proof

Question: reflexive property of equality

Answer: for all real numbers a, a = a

Question: symmetric property of equality

Answer: for all real numbers a and b, if a = b, then b = a

Question: transitive property of equality

Answer: for all real numbers a, b, and c, if a = b and b = c, then a = c

Question: addition property of equality

Answer: for all real numbers a, b, and c, if a = b then a + c = b + c

Question: subtraction property of equality

Answer: for all real numbers a, b, and c, if a = b, then a − c = b − c

Question: multiplication property of equality

Answer: for all real numbers a, b, and c, if a = b, then ac = bc

Question: division property of equality

Answer: for all real numbers a, b, and c, if a = b and c ≠ 0 , then a/c=b/c

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