118-final-topics-sample-problems

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

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Unformatted text preview: 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 6. Solve absolute value equations. For example solve: (a) | 2 x- 1 | = 5 (b) | x- 1 | + 2 = 8 (c) | x | + 5 = 2 (d) | x- 5 | = | x + 2 | 7. Solve absolute value inequalities and graph the solution set on a number line. For example solve for7....
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118-final-topics-sample-problems - Standards for the Math...

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