Property of Equality

Which property of equality states that any number is equal to itself?

• Symmetric Property

• Reflexive Property

• Transitive Property

• Substitution Property

Answer explanation

The Reflexive Property of equality states that any number is equal to itself, meaning for any number a, a = a. This distinguishes it from the other properties listed.

If x=3 and 3=y, then x=y. Which property of equality does this represent?

• Reflexive Property

• Transitive Property

• Symmetric Property

• Substitution Property

Answer explanation

The statement 'If x=3 and 3=y, then x=y' illustrates the Transitive Property of equality, which states that if a=b and b=c, then a=c. Here, x and y are equal through the common value of 3.

If a=b and we replace a with b in the equation a+4=10, which property is used?

• Symmetric Property

• Reflexive Property

• Transitive Property

• Substitution Property

Answer explanation

The Substitution Property allows us to replace a variable with its equal value. Since a = b, we can replace a with b in the equation a + 4 = 10, demonstrating this property.

Which of the following statements illustrates the symmetric property of equality?

• 12=12

• If 7=x, then x=7

• If p=q and q=r, then p= r

• If m=n, then n can be substituted for m in any equation

Answer explanation

The statement 'If 7=x, then x=7' illustrates the symmetric property of equality, which states that if one quantity equals another, then the second equals the first.

If a=c and c=d, what can we conclude about a and d using the properties of equality?

• d=c

• c=a

• a=d

• a=c