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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