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Midterm One Review - Math 8A-010 Winter 2009 Midterm One...

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Math 8A-010 Winter 2009 Midterm One Review 1. Simplify without using negative exponents. All variables represent positive real numbers. a) 1/ 4 8 2 4 16 x y z b) ( ) 1 3 2 2 24 6 xy xy y xy 2. Factor completely: a) 2 2 4 9 x y b) 6 6 x y c) 2 12 14 15 x x 3. Perform the indicated operations and give your answers in the simplest form: a) 2 2 2 25 2 10 4 5 1 a a a a a + ÷ b) 3 4 2 2 1 3 2 2 x x x x + + 4. Solve the following equations and then determine whether the equation is an identity, a conditional equation, or an inconsistent equation: a) 2 1 5 3 3 x x x = b) 3 11 5 1 1 x x x x = + + 5. Solve the following word problems: a) How many gallons of 20% alcohol solution must be mixed with 10 gallons of 50% alcohol solution to obtain a new mixture of 30% alcohol solution? b) Rob has exactly $3.80 consisting of quarters and dimes. He has a total of 20 coins.
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