Name:



Name: _____________________________________________________

Algebra 1: Complex Number System

Answer the following as true or false.

1). All real numbers are integers. ____________________________

2). All whole numbers are natural numbers. _______________________

3). All integers are rational numbers. __________________________

4). All irrational numbers are real numbers. _____________________

5). All natural numbers are integers. __________________________

6). All integers are irrational. ___________________________

7). All whole numbers are real. ____________________________

8). All rational numbers are real. __________________________

Using the chart below, check off each subset that applies for each number.

|Zero |Natural/Counting |Whole |Integer |Fraction |Rational |Irrational |Real |Imaginary | |7 | | | | | | | | | | |-2/3 | | | | | | | | | | | π | | | | | | | | | | |-6 | | | | | | | | | | |0.67 | | | | | | | | | | |13 | | | | | | | | | | |4.5 | | | | | | | | | | |0 | | | | | | | | | | |3/5 | | | | | | | | | | |-4.8 | | | | | | | | | | |[pic] | | | | | | | | | | |[pic] | | | | | | | | | | |1 | | | | | | | | | | |2.23 | | | | | | | | | | |-4 | | | | | | | | | | |[pic] | | | | | | | | | | |

Name the property illustrated. Be careful with your spelling, it counts!

1). 4 + p = p + 4 __________________________________________

2). 3( x – 5) = 3x – 15 _______________________________________

3). abc = cba ____________________________________________

4). 5 + 0 = 0 + 5 __________________________________________

5) 3( a – 4) = (a – 4) 3 ______________________________________

6). a + ( b + f) = (a + b) + f __________________________________

7). 4(1) = 4 ______________________________________________

8). 4(xy) = (4x)y __________________________________________

9). 5 ∙ [pic] = 1 ____________________________________________

10). -4( x – 6) = -4x + 24 ___________________________________

11). Use the associative property to write an equivalent expression for

(x + y) +5 = ___________________

(4a)c = ____________________

12). Use the distributive property to write an equivalent expression for

6( 4y + 3) = ___________________

-3 ( 2x – 1) = ___________________

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