True or false about identities

Exercise and reference answers

Questions

1. Statement is true

   Yes

   Statement

   An identity holds for all values of its variables.

2. Statement is true

   No

   Statement

   (a + b)2 equals a2 + b2.

3. Statement is true

   Yes

   Statement

   a2 - b2 factors into (a + b)(a - b).

4. Statement is true

   Yes

   Statement

   Identities can be shown with area diagrams.

5. Statement is true

   No

   Statement

   An equation must be true for every value.

Instructions

Decide whether each statement is true or false.

Explanation