Unit 1 Summary Sheet
Name _______________________
Number Sense (NO GRAPHING CALCULATORS!!)
Classify the numbers into all appropriate number systems
(Real, Rational, Irrational, Complex, Pure Imaginary, Integer, Whole, Natural)
1) 3
2) 
3) 2.4 4) 5i
6)7  2i
5) 196
7) 3 1
Solve and graph each of the following:
1
9)  x  3  6
2
8) 2 3 x  5  15
10)
3
x 1  4
4
Graph each of the following using a tables of values:
11) y  2 x  4
12) y  2 x  2
y
y
x
Algebra 2 2013-14
13) y 
1
x4 3
2
y
x
x
14) Give an example of each of the following properties:
Associative Property for Multiplication/Addition
Commutative Property for Addition/Multiplication
Identity Property for Multiplication/Addition
Inverse Property for Multiplication/Addition
Distributive Property
Zero Product Property
15) Describe the error in the problem below AND provide the correct answer:
Evaluate and simplify your answer.
  3  4i  2  i 
   6  3i  8i  4i 2 
 4i 2  5i  6
16) Simplify each of the following:
a) i 29
Algebra 2 2013-14
b) (3  4i)  4(6  2i)
c) (2  3i)(4  5i)
d ) (7  2i) 2
17) Identify which subsets of the complex number system ‘3.14’ and ‘π’ belong in. Then, identify 2
similarities and 2 differences between these numbers.
18) Consider

3

2
versus
3  3 . What can you conclude about the property
a  b  ab ?
19) What does “absolute value” mean? Give an example of a real-world situation that involves the
concept of absolute value.
Algebra 2 2013-14