# r1_new - MAC 1147 Review 1, Spring 2011 Exam 1 covers...

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Unformatted text preview: MAC 1147 Review 1, Spring 2011 Exam 1 covers Lectures 1-8 1. Write without absolute value signs and simplify: (a) 2 u1D465 + u1D465 2 1 u1D465 + 1 (b) u1D70B 5 3 u1D70B (c) 3 12 4 u1D45F + u1D45F 1 if u1D45F &gt; 3 2. Let u1D434 = uni007B.alt03 2 , 3 , . 9 , 4 , u1D70B, 3 8 , , 3 , 15 5 , 1 2 , 16 1 / 4 , . 08 uni007D.alt03 . List the elements that belong to each set: (a) Natural numbers (b) Integers (c) Rational numbers (d) Irrational numbers (e) Real numbers 3. Perform the indicated operations and simplify: (a) u1D465 + 1 u1D465 1 uni0028.alt03 u1D465 + 1 u1D465 1 uni0029.alt03 1 (b) 1 u1D465 3 + 4 u1D465 2 + 4 u1D465 1 u1D465 3 + 2 u1D465 2 4. Factor completely: (a) 4 u1D465 2 ( u1D465 + 2) 3 6 u1D465 3 ( u1D465 + 2) 2 + 2 u1D465 2 ( u1D465 + 2) 2 (b) 4 u1D465 4 u1D465 2 16 u1D465 3 + 4 u1D465 (c) u1D465 4 u1D465 2 12 (d) 32 u1D465 5 4 u1D465 2 (e) 2 u1D465 (4 3 u1D465 ) 4 / 3 4 u1D465 2 (4 3 u1D465 ) 1 / 3 5. Reduce the fraction to the lowest terms. State its domain: 12 u1D466 2 4 u1D466 5 6 u1D466 2 u1D466 2 6. Perform the operations and simplify. (a) 4 u1D465 2 4 u1D465 2 u1D465 + 1 u1D465 4 + u1D465 u1D465 2 + 2 u1D465 + 1 (b) 6 u1D465 2 + 5 u1D465 6 3 u1D465 2 2 u1D465 8 u1D465 3 + 27 4 u1D465 3 6 u1D465 2 + 9 u1D465 7. Simplify each complex fraction. State the domain of fraction in (a) and (b).7....
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## r1_new - MAC 1147 Review 1, Spring 2011 Exam 1 covers...

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