Algebra 2 Companion Book, Volume 1

1.1.2 Properties of Real Numbers - Worksheet

Example 1: Find the additive and multiplicative inverse of each number. 1. − 36 2. − 0.05

3. 2 2

1 500

4. 2 5

5. −

6. 0.25

Example 2: Identify the property demonstrated by each equation. 7. ( ) = ⋅ 3 2 5 (3 2) 5 8. x + 7 y = 7 y + x

1 3

1 3

9.

(28)(9)

(9)(28)

=

Example 3: Use mental math to find each value. 10. cost of 3 items at $2.55 each

1 3 % discount on a $21.99 item

11. a 33

Example 4: Classify each statement as sometimes, always, or never true. Give examples or properties to support your answer. 12. 20 a + 20 b = 5(4 a + 4 b ) 13. a ÷ b = b ÷ a 14. a + ( bc ) = ( a + b )( a + c )

18

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