Mathematics - Algebra

Question 1

A quantity is always equal to itself

Answer 1

Reflexive Property of Equality

Question 2

If two quantities are equal to the same quantity then they must be equal to each other

Answer 2

Transitive property of equality

Question 3

If two quantities are equal, then it does not matter which quantity is written on the left hand side of the equal sign and which is written on the right hand side

Answer 3

Symmetric Property of equality

Question 4

If two Real numbers are added, then their sum will also be a Real number.

Answer 4

Closure for Addition

Question 5

If two Real numbers are multiplied, then their product will also be a Real number.

Answer 5

Closure for Multiplication

Question 6

If two quantities are equal, one may replace the other in a true statement and the statement will remain true. Symbolically,if a + b = c and a = x, then x + b = c.

Answer 6

Substitution Property of Equality

Question 7

If the quantities on each side of an equal sign are both added by the same amount, the resulting statement will still be equal. Symbolically, if a = b, then a + c = b + c

Answer 7

Addition Property of Equality:

Question 8

If the quantities on each side of an equal sign are both subtracted by the same amount, the resulting statement will still be equal. Symbolically, if a = b, then a –c = b –c.

Answer 8

Subtraction Property of Equality

Question 9

If the quantitieson each side of an equal sign are both multiplied by the same amount, the resulting statement will still be equal. Symbolically, if a = b, then ac = bc

Answer 9

Multiplication Property of Equality

Question 10

If the quantities on each side of an equal sign are both divided by the same amount, the resulting statement will still be equal. Symbolically, if a = b and c≠0, then a⎟c = b⎟c

Answer 10

Division Property of Equality