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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 x4 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