Exam 1: Algebraic Concepts

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Rewrite the following so that only the positive exponents remain, and then simplify. ​ Rewrite the following so that only the positive exponents remain, and then simplify. ​   ​

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Perform the indicated operations and simplify. ​ Perform the indicated operations and simplify. ​   ​

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Simplify the complex fraction. ​ Simplify the complex fraction. ​   ​

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Simplify by combining like terms. ​ Simplify by combining like terms. ​   ​

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Perform the indicated operations and simplify. ​ Perform the indicated operations and simplify. ​   ​

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Factor the expression as a product of binomials. ​ Factor the expression as a product of binomials. ​   ​

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Perform the indicated operations and simplify. ​ Perform the indicated operations and simplify. ​   ​

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In a survey of the dining preferences of 36 dormitory students at the end of the spring semester, the following facts were discovered about Adam's Lunch AL, Pizza Tower PT, and the Dining Hall DH. ​ 13 liked AL but not PT 1 liked AL only 21 liked AL 20 liked PT 25 liked DH 7 liked PT and AL but not DH 10 liked PT and DH ​ How many liked PT or DH? ​

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