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Name: Key Math 1090 - Preliminary Assignment Simply complete this and hand it in the second day of class for full credit. 1. Evaluate |x| x if x is a negative number. Answer: Since x is negative, |x| = −x. That is, −x is positive. So, |x| −x = = −1. x x 2. Evaluate 3 4 + 85 . Answer: 3 5 6 5 11 3 + = + = or 1 . 4 8 8 8 8 8 3 Note that mixed numbers such as 1 8 can be confusing notationally, so we will not use them. 3 3. Evaluate 16 2 . Answer: 3 2 16 = 16 1 ·3 2 = 16 1 2 3 = 43 = 64. 4. Using the order of operations, evaluate 5 · (−8 + 62 ÷ 4). Answer: 5 · (−8 + 62 ÷ 4) = = = = 5(−8 + 36 ÷ 4) 5(−8 + 9) 5(1) 5. 6 5. Simplify by rationalizing the denominator. √3−1 Answer: √ 6 3+1 6 √ = √ ·√ 3−1 3−1 3+1 √ 6 3+1 √ √ = 3+ 3− 3−1 √ 6 3+1 = ← (Up to this point would be fine.) √ 2 = 3 3+1 √ = 3 3 + 3. 1