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118-final-topics-sample-problems

# 118-final-topics-sample-problems - Standards for the Math...

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Standards for the Math 118 Departmental Exam November 5, 2009 1. Evaluate polynomial and rational expressions given a value for each variable. For example evaluate: (a) ab - 3 ab 2 if a = - 2 and b = - 3 (b) x + y x - y if x = - 3 and y = - 4 2. Write a rational expression so that powers of the same base are combined and all exponents are positive. For example write with positive exponents, combine, and reduce: (a) (3 x - 2 y 4 ) - 2 (b) m - 3 n 2 m - 6 m 5 n - 8 3. Solve linear equations in one variable. For example solve: (a) 3 - 2 x = 3 x + 8 (b) 3( x - 2) = 3 x - 6 (c) x 6 - 3 4 = 1 3 (d) 3(2 x - 1) = 4 x + 2( x - 8) (e) 3 x - 6(2 x - 1) = 5 x + 2 4. Solve a literal equation for a given variable. For example solve (a) A = 1 2 ( a + b ) h for a (b) y = 2 x - 3 for x 5. Solve a linear inequality and graph the solution set on a number line. For example solve for x and graph the solution set on a number line: (a) 4 - 2 x 7 (b) x - 5 x + 5 (c) 2 - x < 3 - x (d) 2 x - 3( x + 4) < 5

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118-final-topics-sample-problems - Standards for the Math...

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