AlgebraicProperties+of+Equality

Kate D., Maddie B., Alexis B., Kelsey R. http://www.sparknotes.com/math/algebra1/expressionsandequations/terms.html
 * __Algebraic Properties of Equality__**

Name the Property of Equality that is being illustrated here. Let a and b be any real number. If a = b, then b = a.

a. none of the Properties of Equality are being illustrated here b. Reflexive Property of Equality c. Symmetric Property of Equality d. Transitive Property of Equality

correct answer is C

Addition Property

If a=b then a+b=b+c

Example: 2x + 5 = 20 – 3x

Answer: add 3x to both sides, and continue to solve

Subtraction Property

If a=b then a-c=b-c

Example: 5x + 5 = 20

Answer: subtract 5 from both sides and continue to solve

Multiplication Property

If a=b then ac=bc

Example: If a=b, and a=5, and c= 4 then ac=bc

Answer: (5)4=(5)4 20=20

Division Property

If a=b and c is not equal then a/c=b/c

Example: 5x = 20

Answer: divide by 5 on both sides, and continue to solve

Substitution Property

If a=b then a can be substituted for b in any equation or expression

Examples: x = y + 13 and y= 2

Answer: x= 15