Question

Use the Distributive Property to simplify (–5 – c)( –1).

5 + c
–5 + c
5 – c
–5 – c

Answer 1

5 + c .

Answer 2

Which statement is the Law of Detachment?

If p implies q is a true statement and q is true, then q is true.
If p implies q is a true statement and p is true, then q is true.
If p implies q is a true statement and q is true, then p is true.

22. Use the Distributive Property to simplify (–5 – c)( –1).

5 + c
–5 + c
5 – c
–5 – c

23. Name the property of equality that justifies the following statement:

If p = q, then .

Reflexive Property
Subtraction Property
Symmetric Property
Multiplication Property

24. For the following true conditional statement, write the converse. If the converse is also true, combine the statements as a biconditional.

If x = 9, then x2 = 81.

If x2 = 9, then x = 81.
If x2 = 81, then x = 9.
x = 9 if and only if x2 = 81.
If x2 = 81, then x = 9.
x2 = 81 if and only if x = 9.
If x2 = 81, then x = 9.

25. Which property justifies the following statement?



Substitution Property of Equality
Division Property of Equality
Subtraction Property of Equality
Addition Property of Equality

Answer 3

Which statement is the Law of Detachment?

If p implies q is a true statement and q is true, then q is true.
If p implies q is a true statement and p is true, then q is true.
If p implies q is a true statement and q is true, then p is true

Answer 4

Which statement is the Law of Detachment?

If p implies q is a true statement and q is true, then q is true.
If p implies q is a true statement and p is true, then q is true.
If p implies q is a true statement and q is true, then p is true